Browse Math problems in the Studdy Learning Bank!

Problem 8501

Solve the equation $a^{2} + a + 6 = 6a$ for $a$ .

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Problem 8502

Find the value of the missing number in the equation $375+\square=873$ .

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Problem 8503

Solve the quadratic equation $\frac{6}{7} t^{2} - \frac{7}{6} = 0$ to find the value of $t$ .

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Problem 8504

Simplify $0 \div (y - 1/2)$ where $y \neq 1/2$ . If undefined, enter $\varnothing$ .

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Problem 8505

Evaluate the polynomial $-8x + 7$ when $x=7$ .

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Problem 8506

Solve the system of linear equations $-5x + 8y = 0$ and $-7x - 8y = -96$ .

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Problem 8507

Find the linear equation for moose population $P$ over time $t$ years since 1990. Predict the population in 2003.
$P(t) = 4940 + (6100 - 4940) \cdot \frac{t}{8}$
Predict the moose population in 2003 to be $P(13) = 7260$ .

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Problem 8508

Given $f(x)=\sqrt{x+2}+3$ , choose the correct transformation: left 2, up 3.

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Problem 8509

Solve the quadratic equation $8 x^{2} = 7 x - 5$ and compute its discriminant.

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Problem 8510

Find the range of the function $f$ given by the set of ordered pairs $\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$ .

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Problem 8511

Subtract $(x y-a b-3)-(x y-7 a b-1)$ and simplify the result, using integers or fractions for any numbers.

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Problem 8512

Find the largest possible difference between two numbers with exactly 1 decimal place that round to the same whole number.

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Problem 8513

Estimate the product of $27.7$ and $2.8$ by rounding each number.

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Problem 8514

Find the inverse function of $y=1250-67x$ where $y$ is Thomas' elevation (ft) and $x$ is time (s). Determine which of the following equations could be the inverse: $1: y=67x-1250$ , $2: x=1250-67y$ , $3: y=\frac{x-1250}{67}$ , $4: y=\frac{1250-x}{67}$ .

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Problem 8515

Solve for the missing number in the equation $2 ? = 4$ , where the options are $1$ , $\frac{1}{2}$ , $-2$ , and $2$ .

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Problem 8516

Resolver para $u$ donde $-\frac{5}{4} u=-35$ . Simplificar la respuesta tanto como sea posible.

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Problem 8517

Find the value of $x$ given the equation $c = x - b$ .

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Problem 8518

Convert 80 oz to lb.

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Problem 8519

Solve the quadratic equation $4(1-t)=5t^2$ for $t=x$ and $t=y$ . Find the value of $-xy$ .

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Problem 8520

Solve the following linear equations and round the solutions to two decimal places: a. $4y - 4 = 20 - 2y + 2y$ b. $\frac{23}{5} + \frac{9}{5}x = \frac{266}{35} + \frac{5}{5}x + \frac{7}{7}$ c. $5.3x - 2.4 = 6.4 - 3.6x$

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Problem 8521

Solve the equation $4.9x - 1.9 = 27.5$ to find the value of $x$ .

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Problem 8522

Find the interval of angles for the inverse cosine function $\cos^{-1} x$ .

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Problem 8523

4 people need $\frac{5}{8}$ cups of blue water each. How much blue water is needed in total?

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Problem 8524

Solve for $a$ in $b=\frac{c+a c}{a-2}$ . The rearranged equation is $a=\frac{c+b c}{b-2}$ .

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Problem 8525

Describe the error Clare made when solving the inequality $-4x + 3 < 23$ , which led to the incorrect solution $x < -5$ .

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Problem 8526

Solve for $m$ in the equation $\frac{2}{7} m - t = 9b$ .

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Problem 8527

Solve the quadratic equation $x^{2} - 9x + 18 = 0$ by factoring.

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Problem 8528

Find a linear function $P(x)$ that models the percentage of residents in a large city who regularly used newspapers for news, where $P(x)$ is the percentage $x$ years after 2000, and the percentage decreased by $1.2\%$ per year from an initial $54\%$ in 2000. $P(x) = 54 - 1.2x$

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Problem 8529

Simplify the following expressions: $\frac{1}{6} \times \frac{3}{4}$ and $12 \times \frac{2}{3}$ .

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Problem 8530

Find two numbers with a difference of 13 and minimum product.

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Problem 8531

Rewrite the expression $(\sqrt[5]{-53})^{4}$ in rational exponent form.

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Problem 8532

The company retires cars based on miles, purpose, and style. The car fleet's service duration follows a normal distribution with $\mu=62$ months and $\sigma=5$ months. What is the approximate percentage of cars in service between 47 and 57 months?

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Problem 8533

Write $\frac{3}{10}$ as a decimal value in proper medical notation for milligrams.

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Problem 8534

Determine if JKLM is a parallelogram. Find lengths of JK, LM, JM, KL. Conclude if JKLM is a parallelogram based on side congruence.
$J(1,-7), K(-4,-5), L(-1,3), M(4,1)$ Length of $JK$ : Length of $LM$ : Length of $JM$ : Length of $KL$ : Is JKLM a parallelogram?

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Problem 8535

Find the base of the expression $5^{6}$ .

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Problem 8536

Find the value of $0^{9}$ .

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Problem 8537

Find $q$ when $s=2, r=6$ , and $t=-3$ if $q$ varies directly with $s$ and inversely with $r$ and $t$ , and when $s=6, r=9$ , and $t=6$ , $q=-1$ .

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Problem 8538

Find the sum and difference of the polynomials $h(x)=-7 x^{5}-4 x-2$ and $k(x)=-6 x^{5}+4 x^{2}+8 x+6$ .

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Problem 8539

Find $\mathrm{DE}$ given $\mathrm{DF}=78, \mathrm{DE}=5 \mathrm{x}-9, \mathrm{EF}=2 \mathrm{x}+10$ .

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Problem 8540

Solve for the value of $t$ given the equation $81 = t^2$ .

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Problem 8541

Determine if any two natural numbers have at least one common factor. True or False?

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Problem 8542

Solve the equations and check the solutions. a) $11-x=4x-4$ b) $-(x+3)=4 \cdot(2x-3)$ c) $7 \cdot(0.2+x)=-0.6-x$ d) $\frac{1}{3} \cdot(9x-18)=\frac{3}{4} \cdot(8-4x)$

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Problem 8543

Write the standard form of a circle given the center $(-3,2)$ and a point $(3,-2)$ on the circle.

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Problem 8544

Round $6,347.8$ and select the numbers that match.
(A) $6,347.751$ (B) $6,347.809$ (C) $6,347.823$ (D) $6,347.852$ (E) $6,347.902$

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Problem 8545

Convert exponential equation $y=2.2(3.74)^x$ to $y=a e^{b x}$ . Round $a$ to 2.20 and $b$ to 1.32.

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Problem 8546

Solve the linear equation $4x + 1 = 9$ for the unknown variable $x$ .

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Problem 8547

Determine if $y=-2x^2+1$ is a function.

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Problem 8548

Find the restrictions on the variables in the following expressions: $3 \sqrt{3 y^{3}}$ , $\sqrt{6 x^{2}}$ , $\sqrt{x-4}$ , $\sqrt{8 x+4}$ .

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Problem 8549

Simplify the expression $\frac{x}{3 x+9}+\frac{8}{x^{2}+3 x}$ .

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Problem 8550

Solve a system of equations using substitution: word problems. Leo and Nancy sell cookie dough, with Leo selling $4$ tubs/day and Nancy selling $6$ tubs/day. Find the number of days and tubs each will sell when they sell the same amount.

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Problem 8551

Find the value of $-8 \times 0$ .

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Problem 8552

Solve the linear equation $4(x+19)=752$ for the value of $x$ .

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Problem 8553

Solve the inequality: $z+1<-1$ OR $z-5>7$

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Problem 8554

Solve an equation with a final step of $18=18$ and no variables. What is this type of equation called? Identity.

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Problem 8555

Find the range of values for $w$ that satisfy the inequality $7w < -56$ .

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Problem 8556

Identify the parent function of $f(x) = -x^2 + 2$ . Choose from Constant, Linear, Quadratic, Cubic, Square Root, Absolute Value.

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Problem 8557

Find values for the missing numbers in the equation $4x + 10 = \square x + \square$ to create infinitely many solutions.

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Problem 8558

Determine if the y-intercept of the linear equation $y=-2x+7$ is positive or negative.

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Problem 8559

Rewrite the piecewise equation $y = \{\begin{array}{ll} \frac{1}{5}x + 8 & \text{if } x \leq -5\\ -x - 1 & \text{if } -4 \leq x < -2\\ -\frac{5}{4}x + 2 & \text{if } 0 \leq x \end{array}$ . Find the domain and evaluate $f(a)$ for $a = -1, -4, -9, 8$ .

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Problem 8560

Identify the property that justifies the equation: $5(x-3)=5x-15$ . Options: A) multiplication, B) transitive, C) subtraction, D) distributive.

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Problem 8561

Solve for $y$ in the quadratic equation $6y^2 + 24y = 0$ . Enter the solutions separated by commas, or click "No solution" if there are no real solutions.

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Problem 8562

Solve for $x$ given $\vec{u}=[x, 3x]$ and $|\vec{u}|=9$ .

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Problem 8563

Find the value of $x$ such that the sum of the arithmetic sequence $3n+5$ from $n=3$ to $n=x$ equals 711.

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Problem 8564

Solve for $y$ where $\frac{y}{6}=\frac{4}{8}$ . Simplify the solution $y$ .

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Problem 8565

Find the values of $x$ and $y$ that satisfy the linear equation $x + 2 = 3y$ .

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Problem 8566

Determine if $x+8>8$ has $0$ as a solution.

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Problem 8567

Solve for the amount of money left after buying 4 tires that each cost $\$ 41$ plus $\$ 2.25$ tax and weigh 25 pounds, given you have $\$ 269$ to spend. The piece of given information that is not necessary is the weight of the tires.

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Problem 8568

Find the value of $x$ in the equation $5(2x + 8) = 4(3x + 2)$ .

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Problem 8569

Find the value of $x$ that satisfies the equation $8(2.5 x+3.2)=3+(-x+1.6)$ . If $g(x)=f(x)+k$ , what are the possible values of $k$ ?

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Problem 8570

Solve the equation $-2v-18=0$ and express the solution as an integer, simplified fraction, or decimal to 2 decimal places.

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Problem 8571

Solve for $L$ in $P=2L+2W$ . Describe error in classmate's solution that equates $P-W=L$ .

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Problem 8572

Multiply the given equation by the LCD to eliminate denominators. The resulting equation is $(x+2)(x-3) = (x-2)(x-3)$

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Problem 8573

Find the actual length (in km) of a road that measures $12 \mathrm{~cm}$ on a map with a scale of $1 \mathrm{~cm} = 6 \mathrm{~km}$ .

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Problem 8574

Chinedu solves 2 math problems per minute. Find the explicit formula for the sequence $f(n)$ representing the number of problems left to solve at the start of the $n^{\text{th}}$ minute.
$f(n) = 30 - 2n$

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Problem 8575

An arrow is shot upward at 80 ft/s from a 25 ft platform. The path is $h=-16t^{2}+80t+25$ , where $h$ is height and $t$ is time. Find the maximum height.

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Problem 8576

Simplify the expression $3 x^{3} y^{2} \times 5 x^{4} y^{3}$ .

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Problem 8577

Find the value of $x$ using cross-multiplication: $\frac{64}{15} = \frac{40}{x}$ .

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Problem 8578

Solve the equation $-4x-20=0$ and express the answer as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 8579

Find the values of $A$ and $B$ that make the piecewise function $f(x)$ differentiable at $x=0$ , where $f(x) = x^2 + 1$ for $x \geq 0$ , and $f(x) = A \sin x + B \cos x$ for $x < 0$ .

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Problem 8580

Match each expression with its quotient: $(x^2 - 3x - 18) / (x + 3)$ , $(x^3 - x^2 - 5x - 3) / (x^2 + 2x + 1)$ , $x - 6$ , $(x^3 - 4x^2 + 4x - 3) / (x - 3)$ , $x^2 - x + 1$ , $x - 3$ .

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Problem 8581

Solve for $x$ in the equation $(a^{2x})^{x-8} = a^{-4} \cdot a^{22}$ .

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Problem 8582

Find the roots of the quadratic function $y=4x^2+2x-30$ by factoring the equation $0=4x^2+2x-30$ .

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Problem 8583

Solve for the value of $x$ in the equation $x-10=12$ .

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Problem 8584

Solve the differential equation $3 y y' = 5 x$ .

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Problem 8585

Determine if the piecewise function $y = \begin{cases} x^2 & x < 2 \\ 4 & x \geq 2 \end{cases}$ is continuous or discontinuous.

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Problem 8586

Evaluate $2|-x|$ when $x=10$ . Options: $210$ , $-20$ , $-210$ , $20$ .

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Problem 8587

Solve the linear equation $-12=117x-45$ for the value of $x$ .

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Problem 8588

Solve the quadratic equation $-4x^2 - 4x + 8 = 0$ to find the value of $x$ .

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Problem 8589

Is $4x - 9 = 2x - 3$ true when $x = 3$ ? Yes or No

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Problem 8590

Find the range of values for $x$ that satisfy the inequality $-21 < 8x + 3$ . Choose the correct response.

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Problem 8591

Find the value of $c$ in the proportion $\frac{65}{75} = \frac{39}{c}$ .

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Problem 8592

Evaluate the integral $\int \frac{9}{8+9 x} d x$ for $x \neq -\frac{8}{9}$ . Type the exact answer.

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Problem 8593

Solve $5-\frac{8}{3}=\frac{y}{3}$ ; multiply both sides by $3$ to get $15-8=y$ .

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Problem 8594

Solve the quadratic equation $x^{2} - x = 1$ for real values of $x$ .

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Problem 8595

To find the value that completes the square on $x^{2} - \frac{2}{7} x$ , add $\left(\frac{2}{7}\right)^{2} = \frac{4}{49}$ .

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Problem 8596

Determine if $f(x) = 5 \tan x$ is even, odd, or neither. Verify algebraically.

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Problem 8597

Find the positive values of $x$ that satisfy the equation $2xy + 4 = 34$ , where $y = 3$ .

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Problem 8598

Solve for $x$ in the equation $64+31=54x+48-68x$ . Express the answer as an integer, simplified fraction, or decimal rounded to two places.

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Problem 8599

Simplify the expression $\frac{\sec x-\csc x}{\sec x+\csc x}$ and show it is equal to $\frac{\tan x-1}{\tan x+1}$ .

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Problem 8600

Find the roots of the polynomial equation $9x^3 + 13x^2 = 8x + 15$ by factoring or using other methods.

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Math

Problem 8501

Solve the equation a2+a+6=6aa^{2} + a + 6 = 6aa2+a+6=6a for aaa.

Problem 8502

Find the value of the missing number in the equation 375+□=873375+\square=873375+□=873.

Problem 8503

Solve the quadratic equation 67t2−76=0\frac{6}{7} t^{2} - \frac{7}{6} = 076​t2−67​=0 to find the value of ttt.

Problem 8504

Simplify 0÷(y−1/2)0 \div (y - 1/2)0÷(y−1/2) where y≠1/2y \neq 1/2y=1/2. If undefined, enter ∅\varnothing∅.

Problem 8505

Evaluate the polynomial −8x+7-8x + 7−8x+7 when x=7x=7x=7.

Problem 8506

Solve the system of linear equations −5x+8y=0-5x + 8y = 0−5x+8y=0 and −7x−8y=−96-7x - 8y = -96−7x−8y=−96.

Problem 8507

Find the linear equation for moose population PPP over time ttt years since 1990. Predict the population in 2003.P(t)=4940+(6100−4940)⋅t8P(t) = 4940 + (6100 - 4940) \cdot \frac{t}{8}P(t)=4940+(6100−4940)⋅8t​Predict the moose population in 2003 to be P(13)=7260P(13) = 7260P(13)=7260.

Problem 8508

Given f(x)=x+2+3f(x)=\sqrt{x+2}+3f(x)=x+2​+3, choose the correct transformation: left 2, up 3.

Problem 8509

Solve the quadratic equation 8x2=7x−58 x^{2} = 7 x - 58x2=7x−5 and compute its discriminant.

Problem 8510

Find the range of the function fff given by the set of ordered pairs {(4,2),(5,1),(6,2),(7,3),(8,6)}\{(4,2),(5,1),(6,2),(7,3),(8,6)\}{(4,2),(5,1),(6,2),(7,3),(8,6)}.

Problem 8511

Subtract (xy−ab−3)−(xy−7ab−1)(x y-a b-3)-(x y-7 a b-1)(xy−ab−3)−(xy−7ab−1) and simplify the result, using integers or fractions for any numbers.

Problem 8512

Find the largest possible difference between two numbers with exactly 1 decimal place that round to the same whole number.

Problem 8513

Estimate the product of 27.727.727.7 and 2.82.82.8 by rounding each number.

Problem 8514

Problem 8515

Solve for the missing number in the equation 2?=42 ? = 42?=4, where the options are 111, 12\frac{1}{2}21​, −2-2−2, and 222.

Problem 8516

Resolver para uuu donde −54u=−35-\frac{5}{4} u=-35−45​u=−35. Simplificar la respuesta tanto como sea posible.

Problem 8517

Find the value of xxx given the equation c=x−bc = x - bc=x−b.

Problem 8518

Convert 80 oz to lb.

Problem 8519

Solve the quadratic equation 4(1−t)=5t24(1-t)=5t^24(1−t)=5t2 for t=xt=xt=x and t=yt=yt=y. Find the value of −xy-xy−xy.

Problem 8520

Problem 8521

Solve the equation 4.9x−1.9=27.54.9x - 1.9 = 27.54.9x−1.9=27.5 to find the value of xxx.

Problem 8522

Find the interval of angles for the inverse cosine function cos⁡−1x\cos^{-1} xcos−1x.

Problem 8523

4 people need 58\frac{5}{8}85​ cups of blue water each. How much blue water is needed in total?

Problem 8524

Solve for aaa in b=c+aca−2b=\frac{c+a c}{a-2}b=a−2c+ac​. The rearranged equation is a=c+bcb−2a=\frac{c+b c}{b-2}a=b−2c+bc​.

Problem 8525

Describe the error Clare made when solving the inequality −4x+3<23-4x + 3 < 23−4x+3<23, which led to the incorrect solution x<−5x < -5x<−5.

Problem 8526

Solve for mmm in the equation 27m−t=9b\frac{2}{7} m - t = 9b72​m−t=9b.

Problem 8527

Solve the quadratic equation x2−9x+18=0x^{2} - 9x + 18 = 0x2−9x+18=0 by factoring.

Problem 8528

Problem 8529

Simplify the following expressions: 16×34\frac{1}{6} \times \frac{3}{4}61​×43​ and 12×2312 \times \frac{2}{3}12×32​.

Problem 8530

Find two numbers with a difference of 13 and minimum product.

Problem 8531

Rewrite the expression (−535)4(\sqrt[5]{-53})^{4}(5−53​)4 in rational exponent form.

Problem 8532

The company retires cars based on miles, purpose, and style. The car fleet's service duration follows a normal distribution with μ=62\mu=62μ=62 months and σ=5\sigma=5σ=5 months. What is the approximate percentage of cars in service between 47 and 57 months?

Problem 8533

Write 310\frac{3}{10}103​ as a decimal value in proper medical notation for milligrams.

Problem 8534

Problem 8535

Find the base of the expression 565^{6}56.

Problem 8536

Find the value of 090^{9}09.

Problem 8537

Find qqq when s=2,r=6s=2, r=6s=2,r=6, and t=−3t=-3t=−3 if qqq varies directly with sss and inversely with rrr and ttt, and when s=6,r=9s=6, r=9s=6,r=9, and t=6t=6t=6, q=−1q=-1q=−1.

Problem 8538

Find the sum and difference of the polynomials h(x)=−7x5−4x−2h(x)=-7 x^{5}-4 x-2h(x)=−7x5−4x−2 and k(x)=−6x5+4x2+8x+6k(x)=-6 x^{5}+4 x^{2}+8 x+6k(x)=−6x5+4x2+8x+6.

Problem 8539

Find DE\mathrm{DE}DE given DF=78,DE=5x−9,EF=2x+10\mathrm{DF}=78, \mathrm{DE}=5 \mathrm{x}-9, \mathrm{EF}=2 \mathrm{x}+10DF=78,DE=5x−9,EF=2x+10.

Problem 8540

Solve for the value of ttt given the equation 81=t281 = t^281=t2.

Problem 8541

Determine if any two natural numbers have at least one common factor. True or False?

Problem 8542

Solve the equation $a^{2} + a + 6 = 6a$ for $a$ .

Find the value of the missing number in the equation $375+\square=873$ .

Solve the quadratic equation $\frac{6}{7} t^{2} - \frac{7}{6} = 0$ to find the value of $t$ .

Simplify $0 \div (y - 1/2)$ where $y \neq 1/2$ . If undefined, enter $\varnothing$ .

Evaluate the polynomial $-8x + 7$ when $x=7$ .

Solve the system of linear equations $-5x + 8y = 0$ and $-7x - 8y = -96$ .

Find the linear equation for moose population $P$ over time $t$ years since 1990. Predict the population in 2003.
$P(t) = 4940 + (6100 - 4940) \cdot \frac{t}{8}$
Predict the moose population in 2003 to be $P(13) = 7260$ .

Given $f(x)=\sqrt{x+2}+3$ , choose the correct transformation: left 2, up 3.

Solve the quadratic equation $8 x^{2} = 7 x - 5$ and compute its discriminant.

Find the range of the function $f$ given by the set of ordered pairs $\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$ .

Subtract $(x y-a b-3)-(x y-7 a b-1)$ and simplify the result, using integers or fractions for any numbers.

Estimate the product of $27.7$ and $2.8$ by rounding each number.

Solve for the missing number in the equation $2 ? = 4$ , where the options are $1$ , $\frac{1}{2}$ , $-2$ , and $2$ .

Resolver para $u$ donde $-\frac{5}{4} u=-35$ . Simplificar la respuesta tanto como sea posible.

Find the value of $x$ given the equation $c = x - b$ .

Solve the quadratic equation $4(1-t)=5t^2$ for $t=x$ and $t=y$ . Find the value of $-xy$ .

Solve the equation $4.9x - 1.9 = 27.5$ to find the value of $x$ .

Find the interval of angles for the inverse cosine function $\cos^{-1} x$ .

4 people need $\frac{5}{8}$ cups of blue water each. How much blue water is needed in total?

Solve for $a$ in $b=\frac{c+a c}{a-2}$ . The rearranged equation is $a=\frac{c+b c}{b-2}$ .

Describe the error Clare made when solving the inequality $-4x + 3 < 23$ , which led to the incorrect solution $x < -5$ .

Solve for $m$ in the equation $\frac{2}{7} m - t = 9b$ .

Solve the quadratic equation $x^{2} - 9x + 18 = 0$ by factoring.

Simplify the following expressions: $\frac{1}{6} \times \frac{3}{4}$ and $12 \times \frac{2}{3}$ .

Rewrite the expression $(\sqrt[5]{-53})^{4}$ in rational exponent form.

The company retires cars based on miles, purpose, and style. The car fleet's service duration follows a normal distribution with $\mu=62$ months and $\sigma=5$ months. What is the approximate percentage of cars in service between 47 and 57 months?

Write $\frac{3}{10}$ as a decimal value in proper medical notation for milligrams.

Find the base of the expression $5^{6}$ .

Find the value of $0^{9}$ .

Find $q$ when $s=2, r=6$ , and $t=-3$ if $q$ varies directly with $s$ and inversely with $r$ and $t$ , and when $s=6, r=9$ , and $t=6$ , $q=-1$ .

Find the sum and difference of the polynomials $h(x)=-7 x^{5}-4 x-2$ and $k(x)=-6 x^{5}+4 x^{2}+8 x+6$ .

Find $\mathrm{DE}$ given $\mathrm{DF}=78, \mathrm{DE}=5 \mathrm{x}-9, \mathrm{EF}=2 \mathrm{x}+10$ .

Solve for the value of $t$ given the equation $81 = t^2$ .

Write the standard form of a circle given the center $(-3,2)$ and a point $(3,-2)$ on the circle.

Round $6,347.8$ and select the numbers that match.
(A) $6,347.751$ (B) $6,347.809$ (C) $6,347.823$ (D) $6,347.852$ (E) $6,347.902$

Convert exponential equation $y=2.2(3.74)^x$ to $y=a e^{b x}$ . Round $a$ to 2.20 and $b$ to 1.32.

Solve the linear equation $4x + 1 = 9$ for the unknown variable $x$ .

Determine if $y=-2x^2+1$ is a function.

Find the restrictions on the variables in the following expressions: $3 \sqrt{3 y^{3}}$ , $\sqrt{6 x^{2}}$ , $\sqrt{x-4}$ , $\sqrt{8 x+4}$ .

Simplify the expression $\frac{x}{3 x+9}+\frac{8}{x^{2}+3 x}$ .

Solve a system of equations using substitution: word problems. Leo and Nancy sell cookie dough, with Leo selling $4$ tubs/day and Nancy selling $6$ tubs/day. Find the number of days and tubs each will sell when they sell the same amount.

Find the value of $-8 \times 0$ .

Solve the linear equation $4(x+19)=752$ for the value of $x$ .

Solve the inequality: $z+1<-1$ OR $z-5>7$

Solve an equation with a final step of $18=18$ and no variables. What is this type of equation called? Identity.

Find the range of values for $w$ that satisfy the inequality $7w < -56$ .

Identify the parent function of $f(x) = -x^2 + 2$ . Choose from Constant, Linear, Quadratic, Cubic, Square Root, Absolute Value.

Find values for the missing numbers in the equation $4x + 10 = \square x + \square$ to create infinitely many solutions.

Determine if the y-intercept of the linear equation $y=-2x+7$ is positive or negative.

Identify the property that justifies the equation: $5(x-3)=5x-15$ . Options: A) multiplication, B) transitive, C) subtraction, D) distributive.

Solve for $y$ in the quadratic equation $6y^2 + 24y = 0$ . Enter the solutions separated by commas, or click "No solution" if there are no real solutions.

Solve for $x$ given $\vec{u}=[x, 3x]$ and $|\vec{u}|=9$ .

Find the value of $x$ such that the sum of the arithmetic sequence $3n+5$ from $n=3$ to $n=x$ equals 711.

Solve for $y$ where $\frac{y}{6}=\frac{4}{8}$ . Simplify the solution $y$ .

Find the values of $x$ and $y$ that satisfy the linear equation $x + 2 = 3y$ .

Determine if $x+8>8$ has $0$ as a solution.

Solve for the amount of money left after buying 4 tires that each cost $\$ 41$ plus $\$ 2.25$ tax and weigh 25 pounds, given you have $\$ 269$ to spend. The piece of given information that is not necessary is the weight of the tires.

Find the value of $x$ in the equation $5(2x + 8) = 4(3x + 2)$ .

Find the value of $x$ that satisfies the equation $8(2.5 x+3.2)=3+(-x+1.6)$ . If $g(x)=f(x)+k$ , what are the possible values of $k$ ?

Solve the equation $-2v-18=0$ and express the solution as an integer, simplified fraction, or decimal to 2 decimal places.

Solve for $L$ in $P=2L+2W$ . Describe error in classmate's solution that equates $P-W=L$ .

Multiply the given equation by the LCD to eliminate denominators. The resulting equation is $(x+2)(x-3) = (x-2)(x-3)$

Find the actual length (in km) of a road that measures $12 \mathrm{~cm}$ on a map with a scale of $1 \mathrm{~cm} = 6 \mathrm{~km}$ .

Chinedu solves 2 math problems per minute. Find the explicit formula for the sequence $f(n)$ representing the number of problems left to solve at the start of the $n^{\text{th}}$ minute.
$f(n) = 30 - 2n$