Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Expressions, Equations, and Relationships

Solve equations and inequalities and reason about geometric relationships and measurement.

Questions

125

Skill type

expressions and-equations

Study mode

Practice + review

Sample questions

Question

What value of x makes the equation true?

–6x + 8 = 2(x – 12)

Open full-size question

A.
B.
C.
D.

Question

Line segment LN is shown on the coordinate grid.

Which measurement is closest to the length of line segment LN in units?

Open full-size question

A.
B.
C.
D.

Question

A right triangle has a leg with a length of 12 feet and a hypotenuse of 13.6 feet. What is the length of the other leg of the triangle in feet?

Open full-size question

A.
B.
C.
D.

Question

Open full-size question

A.
B.
C.
D.

Question

The measures of two angles are and . The angle measures are equal.

What is the value of x?

Open full-size question

A.
B.
C.
D.

Question

Squares X, Y, and Z are joined at two vertices each to create the right triangle shown in the diagram.

The area of Square X is 441 square centimeters, and the area of Square Y is 400 square centimeters. Which measurement is closest to the side length of Square Z in centimeters?

Open full-size question

A.
B.
C.
D.

Question

The volume of a cone is approximately 1,647 cubic centimeters. The height of the cone is 13 centimeters.

Which measurement is closest to the diameter of the base of the cone in centimeters?

Open full-size question

A.
B.
C.
D.

Question

The dimensions of a rectangular prism are shown in the diagram.

What is the total surface area of the rectangular prism in square inches?

Open full-size question

A.
B.
C.
D.

Question

A right triangle is shown with its side lengths in meters.

What is the value of x in meters?

Open full-size question

A.
B.
C.
D.

Question

A spherical soap bubble has a diameter of 9 millimeters. Which measurement is closest to the volume of the soap bubble in cubic millimeters?

Open full-size question

A.
B.
C.
D.

Question

The total surface area of a rectangular prism is 362 square centimeters. The base of the prism has a length of 8 centimeters and a width of 6 centimeters.

Which measurement is closest to the height of the rectangular prism in centimeters?

Open full-size question

A.
B.
C.
D.

Question

Genevieve is offered two sales jobs. At Company P, she would earn $1,462.50 per month plus 4% of her total sales. At Company Q, she would earn $871.20 per month plus 6.5% of her total sales.

For what amount of total sales would the monthly earnings be equal?

Open full-size question

A.
B.
C.
D.

Question

Points P and Q are shown on the coordinate grid.

Which measurement is closest to the distance between the points in units?

Open full-size question

A.
B.
C.
D.

Question

Which situation can be represented by this inequality?

Open full-size question

A.
B.
C.
D.

Question

Three squares are joined to create a right triangle. The side length of Square 3 is shown in centimeters.

Which values could represent the areas of Square 1 and Square 2 in square centimeters?

Open full-size question

A.
B.
C.
D.

Question

The width of a calculator screen is 8.5 centimeters, and the length of the screen is 6.35 centimeters. Which measurement is closest to the length of the diagonal of the screen?

Open full-size question

A.
B.
C.
D.

Question

Open full-size question

A.
B.
C.
D.

Question

Two linear equations are graphed on the coordinate grid.

What is the y‑coordinate of the ordered pair that represents the solution to both equations?

Open full-size question

A.
B.
C.
D.

Question

A cylinder and its dimensions in inches are shown.

Which measurement is closest to the lateral surface area of the cylinder in square inches?

Open full-size question

A.
B.
C.
D.

Question

Solve for x: 3x + 7 = 22.

A.
x = 3
B.
x = 5
C.
x = 6
D.
x = 7