Linearity

Problem 2701

Solve the equation: $-8 + 4x = 1 - (x - 1)$ .

See Solution

Problem 2702

Solve the equation: $10 x + 3 = 33$ using two steps.

See Solution

Problem 2703

Joe's income grows yearly. It was \$15,000 in year 1 and \$19,400 in year 5. When was it \$26,000?

See Solution

Problem 2704

Solve for $x$ in the equation $10 x + 3 = 33$ .

See Solution

Problem 2705

Solve for $p$ in the equation $p - 1.6 = -13.61$ .

See Solution

Problem 2706

Solve for $x$ : $-5=15-x$

See Solution

Problem 2707

A baker iced 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes. Find the constant of proportionality.

See Solution

Problem 2708

Find the constant of proportionality for a baker who iced 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes.

See Solution

Problem 2709

The number divided by -5 equals 2. What is the number?
$n=$

See Solution

Problem 2710

Choose justifications for each step in solving $6x - 9 = 45$ . Steps include addition, division, and simplification.

See Solution

Problem 2711

Solve the equation $6 x - 9 = 45$ and justify each step using properties of equality.

See Solution

Problem 2712

Solve for $x$ in the equation $6x - 9 = 45$ .

See Solution

Problem 2713

What is the expression for the TV price after the rebate but before tax, given $0.07 x+(x-300)$ ?

See Solution

Problem 2714

Celine is 28, and her age is 4 more than $\frac{1}{3}$ of Drake's age. Find Drake's age using the correct equation.

See Solution

Problem 2715

Celine is 28, and her age is 4 more than $\frac{1}{3}$ of Drake's age. Find Drake's age using the correct equation.

See Solution

Problem 2716

Solve for $r$ in the equation $\frac{r}{3}=7$ .

See Solution

Problem 2717

Solve for $x$ in the equation: $10 x + 20 = -50$ .

See Solution

Problem 2718

Solve for $x$ in the equation $\frac{1}{4} x + 4 = -7$ .

See Solution

Problem 2719

Solve for $x$ in the equation $-3(x+4)=-15$ .

See Solution

Problem 2720

Solve the equation $7(m+3)=84$ for the variable $m$ .

See Solution

Problem 2721

Solve the equation: $-4x - 4 - 3x = 24$

See Solution

Problem 2722

Fill in the missing number for each equation: a) $2x = 24$ , b) $2x = 4$ , c) $2x = 12$ .

See Solution

Problem 2723

Find the point of intersection or graph the lines $y=2x-7$ and $y=2x+13$ . What should be done?

See Solution

Problem 2724

Solve for $k$ in the equation: $6k - 2z = 12$ .

See Solution

Problem 2725

Solve for $w$ in the equation: $w - 11 = 3.8$ .

See Solution

Problem 2726

An NFL kicker misses 2 out of every 5 field goals. If he missed 8, how many did he attempt? Use $x$ for attempts.

See Solution

Problem 2727

Find two consecutive integers whose sum is 183. What are the integers?

See Solution

Problem 2728

Ali paid an \$8 fee plus 6 cents per minute, totaling \$15.26. How many minutes did he ride the scooter?

See Solution

Problem 2729

Alonso has \$21, buys eggs for \$2.50, and avocados cost \$5 per bag of 3.
1) Which inequality fits? (A) $2.50+5B \leq 21$ (B) $2.50+5B \geq 21$ (C) $2.50+3B \leq 21$ (D) $2.50+3B \geq 21$
2) What's the max number of avocados he can buy?

See Solution

Problem 2730

Katie has 34 seashells and finds 12 daily. Write an inequality for days $d$ to collect over 100 seashells.

See Solution

Problem 2731

Rebekah's yoga studio charges a \$35 fee plus \$12 per class. Find the inequality and minimum classes for total \$100 spent.
1) Which inequality describes this? (A) $35+C \leq 100$ (B) $35+C \geq 100$ (C) $35+12 C \leq 100$ (D) $35+12 C \geq 100$
2) Minimum classes needed? classes

See Solution

Problem 2732

Anand can hire a plumber with a \$65 fee and \$28/hour. How many hours can he afford under \$250?
1) Which inequality fits? (A) $28 + 65H \leq 250$ (B) $28 + 65H \geq 250$ (C) $65 + 28H \leq 250$ (D) $65 + 28H \geq 250$
2) What is the max whole hours he can afford?

See Solution

Problem 2733

A helicopter flies at $150 \mathrm{mi/h}$ from noon, overtaking a train that left at 9:00 am. Find the train's average speed.

See Solution

Problem 2734

Solve for $t$ in the equation: $-9 t + 2 = 56$ .

See Solution

Problem 2735

Solve for $v$ in the equation $-69=7 v-6$ .

See Solution

Problem 2736

If there are 240 non-fiction books and the ratio of non-fiction to fiction is 3:7, how many total books are there?

See Solution

Problem 2737

Bruno's Burgers has a 2:5 cook to server ratio with 42 total staff. Find how many more servers than cooks are employed.

See Solution

Problem 2738

Solve the equations: $35 = -2x - 15$ and $\frac{50}{2} = 25$ .

See Solution

Problem 2739

What scores does Harold need on his fourth test to average between 70 and 79? Use interval notation for your answer.

See Solution

Problem 2740

Calculate the slope of the line through points $(4,7)$ and $(8,10)$ . State if it's vertical or horizontal if applicable.

See Solution

Problem 2741

1. Write the equation: $\frac{24}{x} = 14 - 2x$ .
2. Write the equation: $85 - 9y = 7(4 + y)$ .
3. Write an equation for Lily's walk: $2 + 3h = 6$ .

See Solution

Problem 2742

Graph the line $-3y = x - 3$ by plotting at least two points on the axes. Use technology to assist you.

See Solution

Problem 2743

Problem 7: Out of 107 athletes, find those who don't play basketball if 48 play baseball and 33 don't.
Problem 9: Write an equation: $2a + a^3 = b$ .
Problem 11: Write an equation: $x + x^2 = yz$ .

See Solution

Problem 2744

Solve for $x$ : $-45 < -5x - 5$ or $-65 \geq -5x - 5$ . Graph the solutions on a number line.

See Solution

Problem 2745

Translate these sentences into equations:
1. "Perimeter of a rectangle: $P = 2l + 2w$ ."
2. "Simple interest: $I = p \cdot r \cdot t$ ."
Also, describe: "The sum of $j$ and 16 equals 35."

See Solution

Problem 2746

Elbert has 9 coins (quarters and dimes) worth \$1.80. How many of each coin does he have?

See Solution

Problem 2747

Solve the inequality $3x + 2 \leq -10$ and graph the solution on the number line provided.

See Solution

Problem 2748

Create a sentence for each equation: 21. $7(p+23)=102$ , 22. $r^{2}-15=t+19$ , 23. $\frac{2}{5} v+\frac{3}{4}=\frac{2}{3} x^{2}$ , 24. $\frac{1}{3}-\frac{4}{5} z=\frac{4}{3} y^{3}$ , 25. $g+10=3 g$ .

See Solution

Problem 2749

Solve for $u$ : $6u + 7u - 16 = -81$ . Simplify your answer. $u =$

See Solution

Problem 2750

Which equation is equivalent to $5 x - 4 y = -20$ ? A) $y = -9 x$ B) $y = \frac{5}{4} x - 4$ C) $y = -4 + 0.8 x$ D) $y = \frac{5}{4} x + 5$

See Solution

Problem 2751

Find $v$ in the equation $206 - v = 86$ . What is $v$ ?

See Solution

Problem 2752

A car goes 348 km in 7 hours. How long to travel 396 km at the same speed?

See Solution

Problem 2753

What does the equation $c=1.19 p$ mean? If a cantaloupe weighs 2 pounds, what is its cost?

See Solution

Problem 2754

Your paycheck is 15% less than your coworker's. Together, you earn \$690. Find each paycheck amount.

See Solution

Problem 2755

Identify the mistake in these steps leading to the conclusion that if $x=1$ , then $2=1$ .

See Solution

Problem 2756

Solve the equation: $\frac{-x}{6}+1=18$ .

See Solution

Problem 2757

Solve the equation: $\frac{x-4}{2}=\frac{5}{2}$ .

See Solution

Problem 2758

Frank's hot dogs increased by \$2, then halved to \$2.50. What was the original price?

See Solution

Problem 2759

Solve for $x$ in the equation: $\frac{1}{2} x - 1 = -\frac{1}{3}$ .

See Solution

Problem 2760

Solve for $x$ in the equation: $-3.2 - x = -19.4$ .

See Solution

Problem 2761

Solve the equation $\frac{1}{2}\left(x+\frac{2}{3}\right)=\frac{5}{4}$ .

See Solution

Problem 2762

Determine if the function represented by the points $(-10, -79)$ , $(-9, -72)$ , $(-8, -65)$ , $(-7, -58)$ , and $(-6, -51)$ is linear, quadratic, cubic, or exponential.

See Solution

Problem 2763

Determine if the function represented by the points (1, 5), (2, 9), (3, 13), (4, 17), (5, 21) is linear, quadratic, cubic, or exponential.

See Solution

Problem 2764

Solve these equations for $x$ : $-\frac{3}{5}+x=\frac{12}{5}$ , $x-5=-2$ , $-6+x=-9$ , $\frac{x}{4}=\frac{6}{8}$ , $-14x=-42$ , $\frac{x}{3}=9$ . Place in table under $x=3$ or $x \neq 3$ .

See Solution

Problem 2765

The library had $x$ books last year. After adding 46 books, it now has 1,191. Find the equation for $x$ .

See Solution

Problem 2766

Solve for $x$ : $3x - 9 = -33$ . Options: $-16$ , $-9$ , $-14$ , $-8$ .

See Solution

Problem 2767

Complete the statements based on the steps of solving $\frac{3}{4} x - 6 = -9$ . What property was applied in steps 2 and 4?

See Solution

Problem 2768

What is the first step to solve $4x - 0.2 = 1.9$ for $x$ ? Choose the correct option.

See Solution

Problem 2769

Identify the property of equality used to solve $9x=88$ to get $x=9 \frac{7}{9}$ . Options: A, B, C, D.

See Solution

Problem 2770

What value of $x$ satisfies the equation $-6x + 3 = 45$ ?

See Solution

Problem 2771

Complete the statements using the table: In step 2, the property of equality was applied. In step 4, the property of equality was applied. The equation is $3 x-10=-16$ .

See Solution

Problem 2772

Find the equation for Teri's race time $m$ if Julie ran it in 28 minutes, 2 minutes faster than Teri. Choices: A. $m+2=28$ B. $m-2=28$ C. $2 m=28$ D. $\frac{1}{2} m=28$

See Solution

Problem 2773

Solve for $m$ in the equation: $3 m=5(m+3)-3$ .

See Solution

Problem 2774

Find the value of $y$ that satisfies the equation: $-2y - 9 = -11$ . A. -10 B. -1 C. 1 D. 10

See Solution

Problem 2775

Maximize $P=3x+2y$ with constraints: $5x+y \leq 16$ , $2x+3y \leq 22$ , $x \geq 0$ , $y \geq 0$ . What is $P$ ?

See Solution

Problem 2776

Maximize $P=3x + 2y$ with constraints: $5x + y \leq 16$ , $2x + 3y \leq 22$ , $x \geq 0$ , $y \geq 0$ .

See Solution

Problem 2777

Simplify the expression $\frac{3}{2}(n+40)-10$ .

See Solution

Problem 2778

Simplify the expression: $6(-5n + 7)$ .

See Solution

Problem 2779

Stretch the function $f(x)=3x+9$ horizontally by a factor of 4.

See Solution

Problem 2780

Reflect the function $f(x)=\frac{1}{5} x+6$ in the $y$ -axis. What is the new function?

See Solution

Problem 2781

Tony has \ $20 for at least 4 snacks: Hot dogs$ (x) $are \$3, peanuts$ (y) $are \$2. Find inequalities:$ x+y \geq 4 $,$ 3x + 2y \leq 20$.

See Solution

Problem 2782

Cody has \ $7 to buy at least 4 snacks. Hot dogs$ (x) $cost \$2 each, peanuts$ (y) $\$1 each. Find valid$ (x,y) $pairs:$ $\begin{array}{r} x+y \geq 4 \\ 2x+y \leq 7 \end{array}$ $Options:$ (5,2) $,$ (0,7)$

See Solution

Problem 2783

Find the line equation through points (1,2) and (5,10). Use $y = mx + b$ to determine $m$ and $b$ .

See Solution

Problem 2784

Cody has \ $7 and wants at least 4 snacks. Hot dogs (x) cost \$2 each, peanuts (y) cost \$1. Find valid pairs$ (x,y)$:
$\begin{array}{r} x+y \geq 4 \\ 2x+y \leq 7 \end{array}$ Options: (2,3), (3,2)

See Solution

Problem 2785

Find the line equation through points $(-3,0)$ and $(0,3)$ .

See Solution

Problem 2786

Determine the line equation through points $(-3,-1)$ and $(2,4)$ .

See Solution

Problem 2787

Maximize $P=9x+8y$ with constraints: find $y$ -intercept of $8x+6y \leq 48$ and $7x+7y \leq 49$ , $x,y \geq 0$ .

See Solution

Problem 2788

Solve for $x$ in the equation $g=6 x$ .

See Solution

Problem 2789

The temperature dropped $18^{\circ} \mathrm{F}$ to $-7^{\circ} \mathrm{F}$ . What was the starting temperature?

See Solution

Problem 2790

A company laid off 1,150 and $2,235$ employees, leaving 7,285. How many employees were there initially?

See Solution

Problem 2791

Solve for $b$ in the equation: $b - 3.9 = 2.8$ .

See Solution

Problem 2792

Solve for $r$ in the equation $r + 1 = 10$ .

See Solution

Problem 2793

Solve for $d$ in the equation $d+5=19$ .

See Solution

Problem 2794

Solve for $r$ in the equation $12 = r + 1$ .

See Solution

Problem 2795

Solve for $x$ : $a x + b x = c$

See Solution

Problem 2796

Frank invirtió 12,000 USD, parte al $4,5 \%$ y el resto al $4 \%$ . El interés total es \$525. ¿Cuánto invirtió en el banco A?

See Solution

Problem 2797

Solve for $x$ in the equation $x - 13 = 5$ .

See Solution

Problem 2798

Solve for $x$ in the equation $-\frac{x}{2}=21$ .

See Solution

Problem 2799

Solve for $k$ in the equation: $8k - 2z = 16$ .

See Solution

Problem 2800

Solve for $q$ in the equation $3 + 9q = 7 + 8q$ and verify your answer.

See Solution

1 ...25 26 27 28 29 30 31 ...77

Linearity

Problem 2701

Solve the equation: −8+4x=1−(x−1)-8 + 4x = 1 - (x - 1)−8+4x=1−(x−1).

Problem 2702

Solve the equation: 10x+3=3310 x + 3 = 3310x+3=33 using two steps.

Problem 2703

Joe's income grows yearly. It was \$15,000 in year 1 and \$19,400 in year 5. When was it \$26,000?

Problem 2704

Solve for xxx in the equation 10x+3=3310 x + 3 = 3310x+3=33.

Problem 2705

Solve for ppp in the equation p−1.6=−13.61p - 1.6 = -13.61p−1.6=−13.61.

Problem 2706

Solve for xxx: −5=15−x-5=15-x−5=15−x

Problem 2707

A baker iced 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes. Find the constant of proportionality.

Problem 2708

Find the constant of proportionality for a baker who iced 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes.

Problem 2709

The number divided by -5 equals 2. What is the number? n= n= n=

Problem 2710

Choose justifications for each step in solving 6x−9=456x - 9 = 456x−9=45. Steps include addition, division, and simplification.

Problem 2711

Solve the equation 6x−9=456 x - 9 = 456x−9=45 and justify each step using properties of equality.

Problem 2712

Solve for xxx in the equation 6x−9=456x - 9 = 456x−9=45.

Problem 2713

What is the expression for the TV price after the rebate but before tax, given 0.07x+(x−300)0.07 x+(x-300)0.07x+(x−300)?

Problem 2714

Celine is 28, and her age is 4 more than 13\frac{1}{3}31​ of Drake's age. Find Drake's age using the correct equation.

Problem 2715

Celine is 28, and her age is 4 more than 13\frac{1}{3}31​ of Drake's age. Find Drake's age using the correct equation.

Problem 2716

Solve for rrr in the equation r3=7\frac{r}{3}=73r​=7.

Problem 2717

Solve for xxx in the equation: 10x+20=−5010 x + 20 = -5010x+20=−50.

Problem 2718

Solve for xxx in the equation 14x+4=−7\frac{1}{4} x + 4 = -741​x+4=−7.

Problem 2719

Solve for xxx in the equation −3(x+4)=−15-3(x+4)=-15−3(x+4)=−15.

Problem 2720

Solve the equation 7(m+3)=847(m+3)=847(m+3)=84 for the variable mmm.

Problem 2721

Solve the equation: −4x−4−3x=24-4x - 4 - 3x = 24−4x−4−3x=24

Problem 2722

Fill in the missing number for each equation: a) 2x=242x = 242x=24, b) 2x=42x = 42x=4, c) 2x=122x = 122x=12.

Problem 2723

Find the point of intersection or graph the lines y=2x−7y=2x-7y=2x−7 and y=2x+13y=2x+13y=2x+13. What should be done?

Problem 2724

Solve for kkk in the equation: 6k−2z=126k - 2z = 126k−2z=12.

Problem 2725

Solve for www in the equation: w−11=3.8w - 11 = 3.8w−11=3.8.

Problem 2726

An NFL kicker misses 2 out of every 5 field goals. If he missed 8, how many did he attempt? Use xxx for attempts.

Problem 2727

Find two consecutive integers whose sum is 183. What are the integers?

Problem 2728

Ali paid an \$8 fee plus 6 cents per minute, totaling \$15.26. How many minutes did he ride the scooter?

Problem 2729

Problem 2730

Katie has 34 seashells and finds 12 daily. Write an inequality for days ddd to collect over 100 seashells.

Problem 2731

Problem 2732

Problem 2733

A helicopter flies at 150mi/h150 \mathrm{mi/h}150mi/h from noon, overtaking a train that left at 9:00 am. Find the train's average speed.

Problem 2734

Solve for ttt in the equation: −9t+2=56-9 t + 2 = 56−9t+2=56.

Problem 2735

Solve for vvv in the equation −69=7v−6-69=7 v-6−69=7v−6.

Problem 2736

If there are 240 non-fiction books and the ratio of non-fiction to fiction is 3:7, how many total books are there?

Problem 2737

Bruno's Burgers has a 2:5 cook to server ratio with 42 total staff. Find how many more servers than cooks are employed.

Problem 2738

Solve the equations: 35=−2x−1535 = -2x - 1535=−2x−15 and 502=25\frac{50}{2} = 25250​=25.

Problem 2739

What scores does Harold need on his fourth test to average between 70 and 79? Use interval notation for your answer.

Problem 2740

Calculate the slope of the line through points (4,7)(4,7)(4,7) and (8,10)(8,10)(8,10). State if it's vertical or horizontal if applicable.

Problem 2741

1. Write the equation: 24x=14−2x\frac{24}{x} = 14 - 2xx24​=14−2x.2. Write the equation: 85−9y=7(4+y)85 - 9y = 7(4 + y)85−9y=7(4+y).3. Write an equation for Lily's walk: 2+3h=62 + 3h = 62+3h=6.

Solve the equation: $-8 + 4x = 1 - (x - 1)$ .

Solve the equation: $10 x + 3 = 33$ using two steps.

Solve for $x$ in the equation $10 x + 3 = 33$ .

Solve for $p$ in the equation $p - 1.6 = -13.61$ .

Solve for $x$ : $-5=15-x$

The number divided by -5 equals 2. What is the number?
$n=$

Choose justifications for each step in solving $6x - 9 = 45$ . Steps include addition, division, and simplification.

Solve the equation $6 x - 9 = 45$ and justify each step using properties of equality.

Solve for $x$ in the equation $6x - 9 = 45$ .

What is the expression for the TV price after the rebate but before tax, given $0.07 x+(x-300)$ ?

Celine is 28, and her age is 4 more than $\frac{1}{3}$ of Drake's age. Find Drake's age using the correct equation.

Celine is 28, and her age is 4 more than $\frac{1}{3}$ of Drake's age. Find Drake's age using the correct equation.

Solve for $r$ in the equation $\frac{r}{3}=7$ .

Solve for $x$ in the equation: $10 x + 20 = -50$ .

Solve for $x$ in the equation $\frac{1}{4} x + 4 = -7$ .

Solve for $x$ in the equation $-3(x+4)=-15$ .

Solve the equation $7(m+3)=84$ for the variable $m$ .

Solve the equation: $-4x - 4 - 3x = 24$

Fill in the missing number for each equation: a) $2x = 24$ , b) $2x = 4$ , c) $2x = 12$ .

Find the point of intersection or graph the lines $y=2x-7$ and $y=2x+13$ . What should be done?

Solve for $k$ in the equation: $6k - 2z = 12$ .

Solve for $w$ in the equation: $w - 11 = 3.8$ .

An NFL kicker misses 2 out of every 5 field goals. If he missed 8, how many did he attempt? Use $x$ for attempts.

Katie has 34 seashells and finds 12 daily. Write an inequality for days $d$ to collect over 100 seashells.

A helicopter flies at $150 \mathrm{mi/h}$ from noon, overtaking a train that left at 9:00 am. Find the train's average speed.

Solve for $t$ in the equation: $-9 t + 2 = 56$ .

Solve for $v$ in the equation $-69=7 v-6$ .

Solve the equations: $35 = -2x - 15$ and $\frac{50}{2} = 25$ .

Calculate the slope of the line through points $(4,7)$ and $(8,10)$ . State if it's vertical or horizontal if applicable.

1. Write the equation: $\frac{24}{x} = 14 - 2x$ .
2. Write the equation: $85 - 9y = 7(4 + y)$ .
3. Write an equation for Lily's walk: $2 + 3h = 6$ .

Graph the line $-3y = x - 3$ by plotting at least two points on the axes. Use technology to assist you.

Problem 7: Out of 107 athletes, find those who don't play basketball if 48 play baseball and 33 don't.
Problem 9: Write an equation: $2a + a^3 = b$ .
Problem 11: Write an equation: $x + x^2 = yz$ .

Solve for $x$ : $-45 < -5x - 5$ or $-65 \geq -5x - 5$ . Graph the solutions on a number line.

Translate these sentences into equations:
1. "Perimeter of a rectangle: $P = 2l + 2w$ ."
2. "Simple interest: $I = p \cdot r \cdot t$ ."
Also, describe: "The sum of $j$ and 16 equals 35."

Solve the inequality $3x + 2 \leq -10$ and graph the solution on the number line provided.

Solve for $u$ : $6u + 7u - 16 = -81$ . Simplify your answer. $u =$

Which equation is equivalent to $5 x - 4 y = -20$ ? A) $y = -9 x$ B) $y = \frac{5}{4} x - 4$ C) $y = -4 + 0.8 x$ D) $y = \frac{5}{4} x + 5$

Find $v$ in the equation $206 - v = 86$ . What is $v$ ?

What does the equation $c=1.19 p$ mean? If a cantaloupe weighs 2 pounds, what is its cost?

Identify the mistake in these steps leading to the conclusion that if $x=1$ , then $2=1$ .

Solve the equation: $\frac{-x}{6}+1=18$ .

Solve the equation: $\frac{x-4}{2}=\frac{5}{2}$ .

Solve for $x$ in the equation: $\frac{1}{2} x - 1 = -\frac{1}{3}$ .

Solve for $x$ in the equation: $-3.2 - x = -19.4$ .

Solve the equation $\frac{1}{2}\left(x+\frac{2}{3}\right)=\frac{5}{4}$ .

Determine if the function represented by the points $(-10, -79)$ , $(-9, -72)$ , $(-8, -65)$ , $(-7, -58)$ , and $(-6, -51)$ is linear, quadratic, cubic, or exponential.

The library had $x$ books last year. After adding 46 books, it now has 1,191. Find the equation for $x$ .

Solve for $x$ : $3x - 9 = -33$ . Options: $-16$ , $-9$ , $-14$ , $-8$ .

Complete the statements based on the steps of solving $\frac{3}{4} x - 6 = -9$ . What property was applied in steps 2 and 4?

What is the first step to solve $4x - 0.2 = 1.9$ for $x$ ? Choose the correct option.

Identify the property of equality used to solve $9x=88$ to get $x=9 \frac{7}{9}$ . Options: A, B, C, D.

What value of $x$ satisfies the equation $-6x + 3 = 45$ ?

Complete the statements using the table: In step 2, the property of equality was applied. In step 4, the property of equality was applied. The equation is $3 x-10=-16$ .

Find the equation for Teri's race time $m$ if Julie ran it in 28 minutes, 2 minutes faster than Teri. Choices: A. $m+2=28$ B. $m-2=28$ C. $2 m=28$ D. $\frac{1}{2} m=28$

Solve for $m$ in the equation: $3 m=5(m+3)-3$ .

Find the value of $y$ that satisfies the equation: $-2y - 9 = -11$ . A. -10 B. -1 C. 1 D. 10