Math Equations, Inequalities and Functions Quiz

A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips. Each bag of chips costs $2.95. Which inequality represents the number of bags of chips, x, the teacher can purchase?

• 2.95x > 36

• 2.95 ≥ 36

• 2.95 < 36

• 2.95x ≤ 36

The cost of renting a moving van is $25 a day, plus $0.35 per mile driven. Which function can be used to find the total cost C(x) in dollars of renting a van for a day and driving x miles?

• C(x) = 25x - 0.35

• C(x) = 25x + 0.35

• C(x) = 0.35x - 25

• C(x) = 25 + 0.35x

The lateral area of a cylinder is L = 2πrh. What is this equation solved in terms of r?

• r = 2πL/h

• r = Lh/2π

• r = 2πh/L

• r = L/2πh

The volume of a cylinder can be expressed as $ V = \pi r^2 h $, where $ r $ is the radius, and $ h $ is the height of the cylinder. Which formula can be used to determine the radius of the cylinder?

• $ r = \frac{V}{\pi h} $

• $ r = \frac{2V}{\pi h} $

• $ r = \left( \frac{V}{\pi h} \right)^2 $

• $ r = \sqrt{\frac{V}{\pi h}} $

Solve for $ h $. $ f = 8g + 4h $

• $ h = 2g + \frac{f}{4} $

• $ h = 2g - \frac{f}{4} $

• $ h = -2g + \frac{f}{4} $

• $ h = -2g - \frac{f}{4} $

The equation $ (y - y_1) = m (x - x_1) $ represents the point-slope form of a linear equation. Which equation can be used to find $ y_1 $?

• $ y_1 = m(x - x_1) + y $

• $ y_1 = -mx + mx_1 - y $

• $ y_1 = y - mx + mx_1 $

• $ y_1 = -mx - mx_1 + y $

Which could be the first step in solving the equation \( \frac{1}{2} (2 + 4x) = x + 5 \)? Select ALL that apply.

• Multiply both sides of the equation by 2, resulting in \( 2 + 4x = x + 5 \).

• Multiply both sides of the equation by 2, resulting in \( 2 + 4x = 2x + 10 \).

• Distribute the \( \frac{1}{2} \) to remove the parentheses, resulting in \( 1 + 2x = x + 5 \).

• Subtract \( x \) from both sides of the equation, resulting in \( \frac{1}{2} (2 + 3x) = 5 \).

• Subtract \( 4x \) from both sides of the equation, resulting in \( \frac{1}{2} (2) = x + 5 \).

Emma solved an inequality using the steps shown. Given \( 3x - 4(x + 8) - 6 > 30 \) Step 1 \( 3x - 4(x + 8) - 6 > 30 \) Step 2 \( -1x - 38 > 30 \) Step 3 \( -1x > 68 \) Step 4 \( x > -68 \) Which step contains Emma's first mistake?

• Step 1

• Step 2

• Step 3

• Step 4

Enter the answer in the space provided. What value of \( x \) is the solution to the equation \( \frac{4}{5} x - 8 = 12 \)?

• 25

• 20

• 15

• 10

Tags

CCSS.7.EE.B.4A

What is the solution to the inequality $4x + 10 > 28 - 2x$?

• A. $x < -9$

• B. $x < -3$

• C. $x > 3$

• D. $x > 9$