Browse Linearity problems Studdy Solved!

Problem 2501

Pat is 20 years older than his son James. In two years Pat will be twice as old as James. How old are they now?

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Problem 2502

The ratio of guitar players to drummers who tried out for a band is $35: 21$ . If there are 140 guitar players, how many drummers are there? label required

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Problem 2503

6) Daquan makes a weekly salary of $\$ 450$ , plus $\$ 10$ for every hour that he works. If his goal this week is to make at least \$600, write an inequality can be used to determine how many hours he will need to work.

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Problem 2504

Write an equation for the linear function f satisfying the conditions below. Then, graph $y=f(x)$ . $f(-5)=-2 \text { and } f(1)=3$
Write the equation $y=f(x)$ . $y=\frac{5}{6} x+\frac{13}{6}$ (Type an equation. Use integers or fractions for any numbers in the equation.) Use the graphing tool to graph the linear equation.

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Problem 2505

\begin{tabular}{c|l} \hline System A & The system has no solution. \\ \begin{tabular}{c} $-x-4 y=-8$ \\ $x+4 y=8$ \end{tabular} & \begin{tabular}{l} $(x, y)=(\square, \square)$ \end{tabular} \\ The system has infinitely many solutions. \\ They must satisfy the following equation: \\ $y=\square$ \end{tabular}

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Problem 2506

Тэгшитгэл зохиож бод: Энхжин өглөө, өдөр, орой гэсэн гурван удаа өрөөнийхөө дулааныг хэмжихэд өглөө 19 хэм, өдөр оройноос 7 хэмээр дулаан байсан ба тэдгээрийг нэмэхэд 62 гарав. Эндээс орой хэдэн хэм дулаан байсныг ол.

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Problem 2507

Турийвчинд байгаа 500-тын давстарт ны 1000тын давстартазс 11-р олон. Харав 1000-тын дэвстарт х ширхэг байсан гавал 500 -тын давстартүд нийләад хадан тегрег болохыіг яаж oлох ва?

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Problem 2508

$x=6$ бол $x+x-11+8+9 x=?$

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Problem 2509

how many blueberry muffins she has left.

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Problem 2510

13. $\left\{\begin{array}{l}6 x-3 y=-21 \\ 4 x=3 y-9\end{array}\right.$

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Problem 2511

хэдэн л айраг байсан бэ?
14. Хоер тооны нийлбэр 2024 ба их тоог бага тоонд хуваахад 7 ноогдож 16 үлдэнэ. Эдгээр тоог ол.
15. Хэрэв тооны гуравны нэг дээр 20-г нэмэхэд анхны тооноос 2 дахин их тоо гардаг бол уг тоог ол.

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Problem 2512

10. $\left\{\begin{array}{l}6 x-3 y=12 \\ 4 x-3 y=24\end{array}\right.$

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Problem 2513

26. аваад, 70-ыг нэмсэнтэй тэнц Гурван оронтой тоо 5-аар тогсоно. Энэ цифрийг эхэнд нь шилжүүлэхэд анхны тоог 4 дахин аваад, 12-ыг нэмсэнтэй тэнцүү тоо гарна. Огогдсон гурван оронтой тоог ол. Хоёр оронтой тоог нэг тоонд хуваахад үлдэгдэл гарав. Хэрэв үлдэгдэл ноогдвороос 3 дахин

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Problem 2514

17 Write an equation of the line below in slope intercept form: $y=m x+b$

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Problem 2515

хәдән л айраг байсан бэ? $24 \quad 84 \quad 24+60=84$ Хоёр тооны нийлбэр 2024 ба их тоог бага тоонд хуваахад 7 ноогдож 16 үлдэнэ. Эдгээр тоог ол.

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Problem 2516

Хоёр тооны нийлбэр 2024 их тоо бага тоонд хуваахад / ноогдож 16 үлдэнэ. Эдгээр 257 1773 202.17 Хэрэв тооны гуравны нэг дээр 20-г нэмэхэд анхны тооноос 251= 1713 Дахин их тоо гардаг бол уг тоог ол. Бутархайн хуртвэр хуваарийн нийлбэр 21 хуртвэрээс 2-ыг хасаж хуваарь дээр 1-ийг

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Problem 2517

```latex \text{Solving Systems of Equations - Slope Intercept Form}
\text{Solve each system to work your way through the maze}
\text{Write your name here:} \underline{\hspace{3cm}}
\begin{align} \text{Start} & \\ y &= 3x - 5 \\ y &= 6x + 4 \quad (1, -2) \\ \\ y &= 3x \\ y &= x - 2 \quad (4, 1) \\ \\ y &= 6x - 1 \\ y &= -x + 1 \\ \\ y &= x \\ y &= -2x + 4 \quad (3, 0) \\ \\ y &= 4x - 3 \\ y &= x + 3 \quad (2, 5) \\ \\ y &= -2x + 2 \\ y &= 5x - 3 \quad (2, 2) \\ \\ y &= -x + 4 \\ y &= 3x \quad (-3, 1) \\ \\ y &= 3x - 4 \\ y &= x + 2 \quad (5, 2) \\ \\ y &= 6x - 4 \\ y &= -2x + 5 \quad (1, 1) \\ \\ y &= -2x + 5 \\ x &= 3x \quad (1, 2) \\ \\ \text{Finish} & \\ y &= 3x \quad (5, 4) \end{align} ```

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Problem 2518

4) $5 x-2 y+8=0$ Rewrite in slope-intercept form. 5) State the domain and range of the function $y=2 x+8$
Domain: Range: $\qquad$

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Problem 2519

arcepts of the Iraph the ntercept: $\qquad$ itercept:
9. Consider the graph in lem 12 . Which points represent ordered pairs that are solutions of the equation $4 x+3 y=-24$ ? Select all that apply. (3pts) A. the $x$ -intercept of the graph B. the $y$ -intercept of the graph C. the origin D. points that lie close to the line $\square$ E. points that lie on the line

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Problem 2520

Solve each problem. 1) At a camival it costs $\$ 91.59$ for 71 tickets. Write an equation that can be used to express the relationship between the total cost $(t)$ and the number of tickets( $n$ ) you buy.

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Problem 2521

Station 2: 1. $\left\{\begin{array}{l} y=x+5 \\ 4 x+y=20 \end{array}\right.$ 3. $\left\{\begin{array}{l} x+2 y=-1 \\ 4 x-4 y=20 \end{array}\right.$ 2. $\left\{\begin{array}{l} y-4 x=3 \\ 2 x-3 y=21 \end{array}\right.$ Word Problem

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Problem 2522

6. What are the $x$ -and $y$ -intercepts of the graph of $9 x-7 y=-63$ ? Graph the equation. (2pts) $x$ -intercept: $\square$ $y$ -intercept:

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Problem 2523

$A$ and $B$ shown below, find $-\frac{1}{6} A+B$ $A=\left[\begin{array}{l} -24 \\ -36 \end{array}\right] \quad B=\left[\begin{array}{l} -8 \\ -2 \end{array}\right]$

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Problem 2524

27. Хоёр оронтой тоог нэг тоонд хуваахад үлдэгдэл гарав. Хэрэв үлдэгдэл ноогдвороос 3 дахин бага. ноогдвор нь хуваагчаас 4 дахин бага бол хуваагдагчийг ол.
28. Банкны нәг салбарын ажилтнуудын тоог нөгөө салбарын ажилтнуудын $100 н д$ харьцуулбал

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Problem 2525

There is an unknown number of students at the beginning of lunch. Then ... - Each student has 2 friends come sit with them, tripling the number of students. - When the bell rings, most of the students leave the lunchroom. One-fifth $(1 / 5)$ of the students stay to finish their lunches. - Ten (10) students join the students who are still in the lunchroom. - The total number of people in the lunchroom now is 22.
Create an equation that correctly represents the story above and can be used to find the number of students in the lunchroom at the beginning of lunch.
The equation is $\square$ The number of students who were in the lunchroom at the beginning of the story is $\square$

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Problem 2526

4. Classify the following pairs of equations given as parallel, perpendicular, or neither on the basis of their respected slopes. a) $\begin{array}{l} y=\frac{2}{3} x-8 \\ y=\frac{7}{4} x+8 \end{array}$ b) $\begin{array}{l} y=\frac{7}{4} x+9 \\ y=-\frac{4}{7} x-1 \end{array}$ c) $-2 x-5 y=20$ $10 x+9 y=-9$

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Problem 2527

бага тоотой тәнцүү үлдэгдәл гарав. Санасан тоог ол. Хоёр тооны нийлбэр 1556. I тооны баруун талд 4 гэсэн цифрийг бичэәд. II тооны сүүлийн 1 гэсэн цифрийг арилгахад гарсан тоонууд тэнцүү бол өгөгдсөн хоёр тоог ол.

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Problem 2528

Ex: solve the system $\begin{aligned} x_{1}-2 x_{2}+3 x_{2} & =b_{1} \\ -x_{1}+x_{2}-2 x_{3} & =b_{2} \\ 2 x_{1}-x_{2}+3 x_{3} & =b_{3} \end{aligned}$

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Problem 2529

a boat going with the current travels 110 miles over 5 hours. When it was traveling back against the current it took II hours. rate of boat in still water $\qquad$ rate of current. $\qquad$

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Problem 2530

A system of equations with no solution will have lines that... cross in one place are the same are parallel ard never touch

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Problem 2531

One month Susan rented 3 movies and 2 video games for a total of $\$ 18$ . The next month she rented 8 movies and 4 video games for a total of $\$ 41$ . Find the rental cost for each movie and each video game.
Rental cost for each movie: $\$ \square$ $\square$ Rental cost for each video game: $\$ \square$

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Problem 2532

Solve for $u$ . $u-2 \frac{1}{6}=2 \frac{7}{12}$

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Problem 2533

Solve the system of equations by graph $\begin{array}{l} 2 x+y=-4 \\ x+4 y=12 \end{array}$

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Problem 2534

Solve for $u$ . $81-4 u=5 u$
Simplify your answer as much as possible.

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Problem 2535

5. Using the integers from -9 to 9 only one time each, create a system of two equations sucn that the solution is $(2,2)$ . $\begin{array}{l} y=\frac{\square}{\square} x+ \\ y=\frac{\square}{\square} \end{array}$

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Problem 2536

$\left\{\begin{array}{l}x-3 y \geq 12 \\ 2 x-y \geq-6\end{array}\right.$

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Problem 2537

Date:
Forms of lines Exit Ticket 1) [3 marks] Write the following in the form $a x+b y=c$ where $a, b$ , and $c$ are integers. $y=\frac{5}{6} x+3$ 2) [2 marks] Write the following in the form $y=a x+b$ . $4 x+3 y=-1$ 3) $(3$ marks/ Write the following in the form $a x+b y=c$ where $a, b$ , and $c$ are integers. $y-5=-4(x+3)$ 4) $[2$ marks $]$ Explain why the gradient of the line with the form $a x+b y=c$ is $-\frac{a}{b}$ .

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Problem 2538

$-2=x-4+6$

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Problem 2539

$\begin{array}{l} 76(x+6)=24 \\ 8100=-5(8 x+4) \end{array}$ $-152=-8 x-7(8-8 x)$

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Problem 2540

Example 1 Solve each equation. Check
1. $7 x+8(x-3)=12-3 x$

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Problem 2541

$-4=3+7(x-1)$

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Problem 2542

Victaria gots prid por wook and $x$ equal the numbar of hours sha works par wook. Givan that the graph shows the sot of all solutions, what is the mathomatical oquation that explains the function? (1 paint) $y=100 x+20 x$ $y=100 z$ $y=100+20 x$ $y=20 x$

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Problem 2543

Write an equation for line $L$ in point-slop $L$ is perpendicular to $y=3 x$ .

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Problem 2544

5. $-x+y=3$ $-3 x-y=1$

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Problem 2545

Гурван тавиур дээр бугд 240 ширхэг ном байв. 1-р тавиур дээр 2-р тавиур дээрхээс 36-аар цөөн ном, 3-аар тавиур дээр 2-р тавиураас 48-аар их ном байсан бол тавиур бүр дээр хэдэн ном байсан бэ?

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Problem 2546

What is the slope of a line that is perpendicular to the line whose equation is $A x+B y+C=0, A \neq 0$ and $B \neq 0$ ?
The slope of the line perpendicular to the line $A x+B y+C=0$ is $\square$

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Problem 2547

9. What is the slope of a line that is perpendicular to the graph of $y=\frac{2}{5} x-\frac{1}{3}$ ?

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Problem 2548

27. Хоёр оронтой тоог нэг тоонд хуваахад үлдэгдэл гарав. Хэрэв үлдэгдэл ноогдвороос 3 дахин бага, ноогдвор нь хуваагчаас 4 дахин бага бол хуваагдагчийг ол.

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Problem 2549

10. Write the equation of a line parallel to the given line that contains point C . a) $C(-2,1) ; y=2 x-8$ b) $C(2,-5) ; y=-x+4$

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Problem 2550

Банкны нэг салбарын ажилтнуудын тоог нөгөө салбарын ажилтнуудын тоонд харьцуудбал 3 : 2 байв. Хэрэв I салбараас II-т 18 ажилтан шилжүүлблл ажилтнуудын тооны харьцаа 5: 4 болно. Сатбар тус бүрд хэдэн ажилтан байсан бэ?

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Problem 2551

Supply \& Demand In supply (and demand) problems, $y$ is the number of items the supplier will produce (or the public will buy) if the price of the item is $x$ .
For a particular product, the supply equation is and the demand equation is $\begin{array}{c} y=5 x+320 \\ y=-4 x+545 \end{array}$
What is the intersection point of these two lines? $\square$ Enter answer as an ordered pair (don't forget the parentheses). What is the selling price when supply and demand are in equilibrium? price = \\square$ /item
What is the amount of items in the market when supply and demand are in equilibrium? number of items $=$ $\square$

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Problem 2552

$\begin{array}{l}y=7 x-45 \\ y=2 x\end{array}$

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Problem 2553

AnE $=$ -
Question The table represents some points on the graph of a linear function f. Which function represents \begin{tabular}{|c|c|c|c|c|} \hline $x$ & -3 & 2 & 5 & 11 \\ \hline $4(1)$ & -30 & 0 & 76 & 24 \\ \hline \end{tabular}
Answer Altempt 1 out of 2 A. $f(x)=26(x-2)$ B. $f(x)=-26(2 x-1)$ C. $f(x)=13(x-2)$ D. $f(x)=-2(26 x-1)$ Submil Answer

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Problem 2554

Find the slope of the line that passes through $(7,6)$ and $(5,3)$ . Simplify your answer and write it as a proper fraction, improper fraction, or intes $\square$ In Submit

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Problem 2555

Ben used a gift card to buy a cup of coffee every morning. His card balance is modeled by the linear graph shown. What is the rate of change of the balance with respect to the number cups purchased?
Gift Card Balance
Answer Attempt 1 out of 2 © Additional Solution $\Theta$ No Solution $\square$ Submit Answer

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Problem 2556

Alina bought an ice cream cone for $\$ 3$ . Her 4-ounce scope of ice cream is melting at a rate of 0.5 ounces per minute. Write an equation to represent the amount of ice cream left after $\times$ minutes.

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Problem 2557

\begin{tabular}{|l|c|c|} \hline Slope: \\ $\square-3 / 1$ \\ $\square-1 / 3$ & $x$ & $y$ \\ $\square 3 / 1$ \\ $\square 1 / 3$ & -3 & 5 \\ $Y-1$ Intercept: \\ $\square 5$ & -2 & 2 \\ $\square-4$ & -1 & -1 \\ $\square 2$ & 0 & -4 \\ $\square-7$ & 1 & -7 \\ \hline \end{tabular}

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Problem 2558

2. The graph of a linear function 9 passes through the points $(-7,-4)$ and $(7,6)$ .
What are the slope and $y$ -intercept of the graph of $g$ ?
4. The slope is $\frac{7}{5}$ and the $y$ -intercept is -1 . B. The slope is $\frac{7}{5}$ and the $y$ -intercept is 1 . C. The slope is $\frac{5}{7}$ and the $y$ -intercept is -1 . D. The slope is $\frac{5}{7}$ and the $y$ -intercept is 1 .
3. Which ordered pair is in the solution set of $y \leq \frac{3}{5} x-6$ ? A. $(5,-4)$ B. $(-2,-5)$ C. $(9,1)$ D. $(-8,3)$

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Problem 2559

Write the equation of the line that passes through the point $(-4,-9)$ and has a slope of $\frac{1}{2}$

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Problem 2560

Write an equation for the linear function and use it to answer the given question. The cost of renting a car is a flat $\$ 28$ , plus an additional 7 cents per mile that you drive. How far can you drive for $\$ 96$ ? A. $r=28+0.07 \mathrm{~m} ; 971$ miles B. $r=28 m+0.07 ; 3$ miles C. $r=28-0.07 \mathrm{~m} ; 1,771$ miles D. $r=28 m-0.07 ; 3$ miles

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Problem 2561

Тэмцәэид оролцогчдыг 18 автобусаар, автобус бүрд түүний суудлаас 5 хүн илүү суулган тээвэрлэжээ. Хэрэв автобус бүрд суудлынх нь тоогоор хүмүүсийг суулгах бол дахин 3 автобуе шаардлагатай ба сүүлчийн автобусанд нь 36 сандал сул үлдэх бол оролцогчдын toor on

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Problem 2562

Седедгөений бодлогууд Толын хоер зогсоолын хооронддл зай 60 км богоод моторт завь энэ зайг урегал дагуу 2 цатт, сорж 3 даг тудддаг. Моторт завины уурд болон урсгалын дурдыг ол.

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Problem 2563

А хотоос В хот орохоор автобус гарсны дараа 2 цаг болоод хойноос нь машин гарч, автобусыг гүйцээд түүнээс 40 минутын түрҮүнд В хотод иржээ. Хэрэв хоёр хотын хоорондох зай 160 км богоод машины хурдыг автобусны хурдтай харьцуулахад $3: 1$ бол тус бүрийн хурдыг ол

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Problem 2564

Моторт завь 2 зогсоолын хооронд урсгал дагуу 4 цаг, урсгал сөрж 5 цаг явна. Голын урсгалын хурд 2 км/ц бол зогсоолуудын хоорондох зайг ол.

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Problem 2565

10 л-ийн хоёр савны нэг нь $9 \%$ давсны агууламжтай 5 л, нөгөө нь $5 \%$ давсны агууламжтай 7 л уусмалтай байв. Давсны агууламжийг 6\% болгохын тулд нэгээс нөгөөд хэдэн л уусмал хийх вэ? Агууламж өндөртэй уусмалаас бага агууламжтай уусмал дээр нэмэх замаар 7\% давсны агууламжтай уусмал гаргаж авч чадах уу?

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Problem 2566

10. The graph of a linear function is shown in the УФ 10 coordinate plane. What is the rate of change -10-8-6-4-2 8- 6- 4. 2 -6 -8 10 2 4 6 8 10 x in y per unit change in x for this linear function? A -5 B -2.5 C -2 D -0.4

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Problem 2567

А хотоос В PYY өглөений 8 цагт гарсан машин 64 км/ц хурдтай явсаар тогтсон хугацаанд очих естой байв. Өглөөний 11 цагт жижиг эвдрэл гарч 50 минут зогсон засвар хийв. Цааш явахдаа өөр замаар явсан учир зам нь 31 км-ээр ихэсжээ. Энэ замаар явахдаа тэр $70 \mathrm{~km} / \mathrm{L}$ хурдтай явсан боловч В-д очид дугацаанаасаа 1 цаг 5 минутаар хоцорч очив. A, В хотууд хоорондоо хэдэн км зайтай вэ?

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Problem 2568

Нисэх онгоцны буудал дээр 500 м урт урсдаг хэвтээ зам байжээ. Түүний хурд 4 км/ц бөгөөд Хүслэн, Нандиа хоёр энэ зам дээр хамт алхаж гарсан ба Хүслэн 6 км/ц хурдтай алхаж, Нандиа зүгээр зогссон бол зам дуусахад Хүслэн, Нандиагаас хэр холдсон байх вэ?

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Problem 2569

8
During the summer, Brendan works on his uncle's dairy farm. One of Brendan's many chores is to load bales of hay onto a wagon and haul them from the field into the barn. \begin{tabular}{|l|l|} \hline $x$ (wagon loads) & $y$ (bales) \\ \hline 1 & 4 \\ \hline 2 & 8 \\ \hline 3 & 12 \\ \hline 5 & 20 \\ \hline \end{tabular}
There is a proportional relationship between the number of wagonloads, $x$ , and the number of bales of hay Brendan can haul, $y$ .
Write an equation for the relationship between $x$ and $y$ .

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Problem 2570

$5 x+5 y=3$
1 of 2: Determine the missing coordinate in the ordered pair $(-5, ?)$ so that it will satisfy the given equation.
How to enter your answer (opens in new window) 2 Points $(-5,$ $\square$

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Problem 2571

$43-\frac{b}{3}=59$

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Problem 2572

REVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER
A car is traveling at $112 \mathrm{~km} / \mathrm{h}$ when the driver sees an accident 80 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup? (Round your answer to two decimal places.)

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Problem 2573

$-4.65=3.5 x-0.1$

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Problem 2574

2) $-6+\frac{x}{4}=-5$

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Problem 2575

Unit 6 Day 10 6.3: Writing Systems from Situations
3. A car rental company charges $\$ 30$ per day for a compact car and $\$ 45$ per day for a SUV. Last week, the company rented out a total of 15 cars and made a total of $\$ 600$ in revenue. Write a system of equations that can be used to find $c$ , the amount of compact cars and $s$ , the amount of SUVs the company rented out last. week.
Equation 1: $\square$ Equation 2: $\square$

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Problem 2576

5. A coffee shop sells small cups of coffee for $\$ 2.50$ each and large cups of coffee for $\$ 3.75$ each. The coffee shop sells a total of 150 cups of coffee fir a total revenue of $\$ 500$ . Write a system of equations that can be used to find $I$ , the number of large cups of coffee, and $s$ , the number of small cups of coffee sold.
Equation 1: $\square$ Equation 2: $\square$

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Problem 2577

A taxi service charges passengers a $\$ 2$ flat fee plus $\$ 0.75$ per mile. Which equation shows the relationship between $n$ , the number of miles that a passenger travels, and $t$ , the total cost of the ride? (A) $t=0.75+2 n$ (B) $t=0.75 n$ (C) $t=0.75 n+2 n$ (D) $t=0.75 n+2$

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Problem 2578

The line of best fit is $\hat{y}=142.2 x-11,156$ . This line shows the comparison of house size in comparison to the cost of the house. If the size of the house, 1,800 square feet, gives the cost of $\$ 250,000$ , what is the $\hat{y}$ value given the line of best fit? (1 point) \ $250,000 \$244,804 \$267,116$ \ $2,855,489,760$

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Problem 2579

$4 t-2+t^{2}=6+t^{2}$

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Problem 2580

The equation of line $a$ is $y=\frac{-8}{3} x+\frac{9}{8}$ . Line $b$ is perpendicular to $a$ . What is the slope of line $b$ ?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Problem 2581

Line $q$ passes through points $(3,1)$ and $(10,10)$ . Line $r$ is parallel to line $q$ . What is the slope of line $r$ ?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Problem 2582

[d] $\left\{\begin{array}{c}2 y+4 x=10 \\ y=-2 x+5\end{array}\right.$

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Problem 2583

he equation of line $c$ is $y=\frac{1}{8} x+10$ . Line $d$ is perpendicular to line $c$ and passes through $-1,1)$ . What is the equation of line $d$ ? rite the equation in slope-intercept form. Write the numbers in the equation as simplified oper fractions, improper fractions, or integers.

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Problem 2584

Solve $4(x+9)=6 x+14$

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Problem 2585

Write the letter for the correct answer in the blank at the right of each question. For Questions 1-7, solve each inequality.
1. $x-7>3$
A $\{x \mid x>10\}$ B $\{x \mid x>-4\}$ C $\{x \mid x<10\}$ D $\{x \mid x<-4\}$
1. $\qquad$
2. $3 \geq t+1$ F $\{t \mid t \leq 4\}$
G $\{t \mid t \geq 2\}$ $\mathbf{H}\{t \mid t \leq 2\}$ $\mathbf{J}\{t \mid t \geq 4\}$
3. $1 \geq \frac{-y}{4}$
A $\left\{y \left\lvert\, y \geq-\frac{1}{4}\right.\right\}$ B $\{y \mid y \geq-4\}$ C $\{y \mid y \leq 4\}$ D $\{y \mid y \leq 3\}$ $\qquad$ 3.
2. $\qquad$
4. $5 m<-25$
F $\{m \mid m<125\} \quad \mathbf{G}\{m \mid m<-125\} \quad \mathbf{H}\{m \mid m>-5\} \quad \mathbf{J}\{m \mid m<-5\}$
4. $\qquad$

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Problem 2586

16. Which inequality has the solution set shown in the graph?
F $y<1$ G $y \leq 1$ $\mathbf{H} y>1$ J $y \geq 1$
16. $\qquad$ 17.
18. Determine which of the ordered pairs are a part of the solution set for the inequality graphed at the right. F $(2,1)$ G $(1,3)$ $\mathrm{J}(-2,-3)$
A $y<-x+2$ B $y>-x+2$ A $y<-x+2$ B $y>-x+2$
17. Which inequality has the solution set shown in the graph? C $y<-x+1$ D $y>-x+1$
18. $\qquad$
19. Which inequality has a solution set of $\{x \mid x>3$ or $x<-3\}$ ?
A $|2 x|>6$ B $|2 x|<6$ C $|2 x| \geq 6$ D $|2 x| \leq 6$
19. $\qquad$

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Problem 2587

$3 b+4 b$

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Problem 2588

7) $\begin{aligned}-6 x+6 y & =6 \\ -6 x+3 y & =-12\end{aligned}$

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Problem 2589

Lauren graphs the system of equations to determine its solution. $\begin{array}{l} y=2 x \\ y=-x+6 \end{array}$
What is the correct solution? Enter your answer by filling in the boxes. $\square$ $\square$

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Problem 2590

Francis graphs the system of equations to determine its solution. $\begin{array}{l} 3 x+2 y=12 \\ 3 x-y=3 \end{array}$
What is the correct solution? Enter your answer by filling in the boxes.

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Problem 2591

Choose the point-slope form of the equation below that represents the line that passes through the points $(-3,2)$ and $(2,1)$ . (2 points) 1) $y+3=-5(x-2)$ 2) $y-2=-5(x+3)$ 3) $y+3=-\frac{1}{5}(x-2)$ 4) $y-2=-\frac{1}{5}(x+3)$

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Problem 2592

The following system of linear equations is solved by graphing them on the coordinate plane. $\begin{array}{l} y=2 x+2 \\ y=-\frac{3}{5} x-1 \end{array}$
Which ordered pair is the best approximation of the solution to the system? $(-1,-1)$ $(0,-1)$ $(-1,0)$ $(11$ )

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Problem 2593

14. A jar contains equal numbers of nickels and dimes. The total value of the coins is $\$ 4.05$ . How many coins are in the jar?

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Problem 2594

13. $\begin{array}{r}3 y-z=-6 \\ -3 y-z=6\end{array}$

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Problem 2595

Solve for $r$ and simplify your answer. $5=-\frac{5}{4} r$
Answer Attempt 1 out of 2

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Problem 2596

5. Graph the line $y=3 x-5$

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Problem 2597

$n+3>4$

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Problem 2598

a) Factorise $n x+17 x$ b) Use your answer to part a) to make $x$ the subject of $n x+17 x=p$

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Problem 2599

Make $a$ the subject of $k=a m+a t$

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Problem 2600

$-10 x+3>x-19$

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Linearity

Problem 2501

Pat is 20 years older than his son James. In two years Pat will be twice as old as James. How old are they now?

Problem 2502

The ratio of guitar players to drummers who tried out for a band is 35:2135: 2135:21. If there are 140 guitar players, how many drummers are there? label required

Problem 2503

6) Daquan makes a weekly salary of $450\$ 450$450, plus $10\$ 10$10 for every hour that he works. If his goal this week is to make at least \$600, write an inequality can be used to determine how many hours he will need to work.

Problem 2504

Problem 2505

Problem 2506

Problem 2507

Problem 2508

x=6x=6x=6 бол x+x−11+8+9x=?x+x-11+8+9 x=?x+x−11+8+9x=?

Problem 2509

how many blueberry muffins she has left.

Problem 2510

13. {6x−3y=−214x=3y−9\left\{\begin{array}{l}6 x-3 y=-21 \\ 4 x=3 y-9\end{array}\right.{6x−3y=−214x=3y−9​

Problem 2511

Problem 2512

10. {6x−3y=124x−3y=24\left\{\begin{array}{l}6 x-3 y=12 \\ 4 x-3 y=24\end{array}\right.{6x−3y=124x−3y=24​

Problem 2513

Problem 2514

17 Write an equation of the line below in slope intercept form: y=mx+by=m x+by=mx+b

Problem 2515

хәдән л айраг байсан бэ? 248424+60=8424 \quad 84 \quad 24+60=84248424+60=84 Хоёр тооны нийлбэр 2024 ба их тоог бага тоонд хуваахад 7 ноогдож 16 үлдэнэ. Эдгээр тоог ол.

Problem 2516

Problem 2517

Problem 2518

4) 5x−2y+8=05 x-2 y+8=05x−2y+8=0 Rewrite in slope-intercept form. 5) State the domain and range of the function y=2x+8y=2 x+8y=2x+8Domain: Range: \qquad

Problem 2519

Problem 2520

Solve each problem. 1) At a camival it costs $91.59\$ 91.59$91.59 for 71 tickets. Write an equation that can be used to express the relationship between the total cost (t)(t)(t) and the number of tickets( nnn ) you buy.

Problem 2521

Problem 2522

6. What are the xxx-and yyy-intercepts of the graph of 9x−7y=−639 x-7 y=-639x−7y=−63 ? Graph the equation. (2pts) xxx-intercept: □\square□ yyy-intercept:

Problem 2523

AAA and BBB shown below, find −16A+B-\frac{1}{6} A+B−61​A+B A=[−24−36]B=[−8−2]A=\left[\begin{array}{l} -24 \\ -36 \end{array}\right] \quad B=\left[\begin{array}{l} -8 \\ -2 \end{array}\right]A=[−24−36​]B=[−8−2​]

Problem 2524

Problem 2525

Problem 2526

Problem 2527

Problem 2528

Ex: solve the system x1−2x2+3x2=b1−x1+x2−2x3=b22x1−x2+3x3=b3\begin{aligned} x_{1}-2 x_{2}+3 x_{2} & =b_{1} \\ -x_{1}+x_{2}-2 x_{3} & =b_{2} \\ 2 x_{1}-x_{2}+3 x_{3} & =b_{3} \end{aligned}x1​−2x2​+3x2​−x1​+x2​−2x3​2x1​−x2​+3x3​​=b1​=b2​=b3​​

Problem 2529

a boat going with the current travels 110 miles over 5 hours. When it was traveling back against the current it took II hours. rate of boat in still water \qquad rate of current. \qquad

Problem 2530

A system of equations with no solution will have lines that... cross in one place are the same are parallel ard never touch

Problem 2531

Problem 2532

Solve for uuu. u−216=2712u-2 \frac{1}{6}=2 \frac{7}{12}u−261​=2127​

Problem 2533

Solve the system of equations by graph 2x+y=−4x+4y=12\begin{array}{l} 2 x+y=-4 \\ x+4 y=12 \end{array}2x+y=−4x+4y=12​

Problem 2534

Solve for uuu. 81−4u=5u81-4 u=5 u81−4u=5uSimplify your answer as much as possible.

Problem 2535

5. Using the integers from -9 to 9 only one time each, create a system of two equations sucn that the solution is (2,2)(2,2)(2,2). y=□□x+y=□□\begin{array}{l} y=\frac{\square}{\square} x+ \\ y=\frac{\square}{\square} \end{array}y=□□​x+y=□□​​

Problem 2536

{x−3y≥122x−y≥−6\left\{\begin{array}{l}x-3 y \geq 12 \\ 2 x-y \geq-6\end{array}\right.{x−3y≥122x−y≥−6​

Problem 2537

Problem 2538

−2=x−4+6-2=x-4+6−2=x−4+6

Problem 2539

76(x+6)=248100=−5(8x+4)\begin{array}{l} 76(x+6)=24 \\ 8100=-5(8 x+4) \end{array}76(x+6)=248100=−5(8x+4)​ −152=−8x−7(8−8x)-152=-8 x-7(8-8 x)−152=−8x−7(8−8x)

Problem 2540

Example 1 Solve each equation. Check1. 7x+8(x−3)=12−3x7 x+8(x-3)=12-3 x7x+8(x−3)=12−3x

Problem 2541

−4=3+7(x−1)-4=3+7(x-1)−4=3+7(x−1)

Problem 2542

Problem 2543

Write an equation for line LLL in point-slop LLL is perpendicular to y=3xy=3 xy=3x.

Problem 2544

5. −x+y=3-x+y=3−x+y=3 −3x−y=1-3 x-y=1−3x−y=1

Problem 2545

Problem 2546

What is the slope of a line that is perpendicular to the line whose equation is Ax+By+C=0,A≠0A x+B y+C=0, A \neq 0Ax+By+C=0,A=0 and B≠0B \neq 0B=0 ?The slope of the line perpendicular to the line Ax+By+C=0A x+B y+C=0Ax+By+C=0 is □\square□

Problem 2547

9. What is the slope of a line that is perpendicular to the graph of y=25x−13y=\frac{2}{5} x-\frac{1}{3}y=52​x−31​ ?

Problem 2548

27. Хоёр оронтой тоог нэг тоонд хуваахад үлдэгдэл гарав. Хэрэв үлдэгдэл ноогдвороос 3 дахин бага, ноогдвор нь хуваагчаас 4 дахин бага бол хуваагдагчийг ол.

Problem 2549

The ratio of guitar players to drummers who tried out for a band is $35: 21$ . If there are 140 guitar players, how many drummers are there? label required

6) Daquan makes a weekly salary of $\$ 450$ , plus $\$ 10$ for every hour that he works. If his goal this week is to make at least \$600, write an inequality can be used to determine how many hours he will need to work.

$x=6$ бол $x+x-11+8+9 x=?$

13. $\left\{\begin{array}{l}6 x-3 y=-21 \\ 4 x=3 y-9\end{array}\right.$

10. $\left\{\begin{array}{l}6 x-3 y=12 \\ 4 x-3 y=24\end{array}\right.$

17 Write an equation of the line below in slope intercept form: $y=m x+b$

хәдән л айраг байсан бэ? $24 \quad 84 \quad 24+60=84$ Хоёр тооны нийлбэр 2024 ба их тоог бага тоонд хуваахад 7 ноогдож 16 үлдэнэ. Эдгээр тоог ол.

4) $5 x-2 y+8=0$ Rewrite in slope-intercept form. 5) State the domain and range of the function $y=2 x+8$
Domain: Range: $\qquad$

Solve each problem. 1) At a camival it costs $\$ 91.59$ for 71 tickets. Write an equation that can be used to express the relationship between the total cost $(t)$ and the number of tickets( $n$ ) you buy.

6. What are the $x$ -and $y$ -intercepts of the graph of $9 x-7 y=-63$ ? Graph the equation. (2pts) $x$ -intercept: $\square$ $y$ -intercept:

$A$ and $B$ shown below, find $-\frac{1}{6} A+B$ $A=\left[\begin{array}{l} -24 \\ -36 \end{array}\right] \quad B=\left[\begin{array}{l} -8 \\ -2 \end{array}\right]$

Ex: solve the system $\begin{aligned} x_{1}-2 x_{2}+3 x_{2} & =b_{1} \\ -x_{1}+x_{2}-2 x_{3} & =b_{2} \\ 2 x_{1}-x_{2}+3 x_{3} & =b_{3} \end{aligned}$

a boat going with the current travels 110 miles over 5 hours. When it was traveling back against the current it took II hours. rate of boat in still water $\qquad$ rate of current. $\qquad$

Solve for $u$ . $u-2 \frac{1}{6}=2 \frac{7}{12}$

Solve the system of equations by graph $\begin{array}{l} 2 x+y=-4 \\ x+4 y=12 \end{array}$

Solve for $u$ . $81-4 u=5 u$
Simplify your answer as much as possible.

5. Using the integers from -9 to 9 only one time each, create a system of two equations sucn that the solution is $(2,2)$ . $\begin{array}{l} y=\frac{\square}{\square} x+ \\ y=\frac{\square}{\square} \end{array}$

$\left\{\begin{array}{l}x-3 y \geq 12 \\ 2 x-y \geq-6\end{array}\right.$

$-2=x-4+6$

$\begin{array}{l} 76(x+6)=24 \\ 8100=-5(8 x+4) \end{array}$ $-152=-8 x-7(8-8 x)$

Example 1 Solve each equation. Check
1. $7 x+8(x-3)=12-3 x$

$-4=3+7(x-1)$

Write an equation for line $L$ in point-slop $L$ is perpendicular to $y=3 x$ .

5. $-x+y=3$ $-3 x-y=1$

What is the slope of a line that is perpendicular to the line whose equation is $A x+B y+C=0, A \neq 0$ and $B \neq 0$ ?
The slope of the line perpendicular to the line $A x+B y+C=0$ is $\square$

9. What is the slope of a line that is perpendicular to the graph of $y=\frac{2}{5} x-\frac{1}{3}$ ?

10. Write the equation of a line parallel to the given line that contains point C . a) $C(-2,1) ; y=2 x-8$ b) $C(2,-5) ; y=-x+4$

$\begin{array}{l}y=7 x-45 \\ y=2 x\end{array}$

Find the slope of the line that passes through $(7,6)$ and $(5,3)$ . Simplify your answer and write it as a proper fraction, improper fraction, or intes $\square$ In Submit

Alina bought an ice cream cone for $\$ 3$ . Her 4-ounce scope of ice cream is melting at a rate of 0.5 ounces per minute. Write an equation to represent the amount of ice cream left after $\times$ minutes.

Write the equation of the line that passes through the point $(-4,-9)$ and has a slope of $\frac{1}{2}$

$5 x+5 y=3$
1 of 2: Determine the missing coordinate in the ordered pair $(-5, ?)$ so that it will satisfy the given equation.
How to enter your answer (opens in new window) 2 Points $(-5,$ $\square$

$43-\frac{b}{3}=59$

$-4.65=3.5 x-0.1$

2) $-6+\frac{x}{4}=-5$