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

The diagram shows Squares D, E, and F joined at vertices to form a right triangle.

Which statement is true?

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Question

A rectangular prism is shown. Figures are not drawn to scale.

Which rectangular prism has the same total surface area?

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What is the value of x in the equation represented by the tiles?

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The two lines graphed on the coordinate grid represent a system of equations.

Which ordered pair is the solution of the system of equations?

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The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere.

Which measurement is closest to the volume of the figure in cubic centimeters?

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Parallelogram PQRT is shown.

Which statement proves that parallelogram PQRT is a rectangle?

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A box is in the shape of a square prism. The height of the box is 8 inches, and the area of the square base is 16 square inches.

What is the total surface area in square inches of the box?

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Question

The diagram shows a cone and its dimensions.

Which measurement is closest to the volume of the cone in cubic centimeters?

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Question

The volume of a cylinder is 87.35 cubic inches, and the radius is 5.17 inches. Which equation can be used to find h, the height of the cylinder in inches?

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Question

Jessica baked 72 cookies and sold x cookies. Max baked 36 cookies and sold half as many cookies as Jessica did.

How many cookies did Jessica sell if they each had the same number of cookies left over?

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Question

Four pairs of similar triangles are shown.

Based on the triangles shown, which similarity statement about the fourth pair of triangles is true and can be used to complete the table?

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Question

A marble is in the shape of a sphere with a diameter of 13 millimeters.

Which measurement is closest to the volume of the marble in cubic millimeters?

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Question

A triangular prism and its dimensions in feet are shown.

What is the total surface area of the prism in square feet?

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Question

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour.

Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

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Question

A cylindrical swimming pool has a radius of 9 feet and a height of 4 ft. Which equation can be used to find V, the volume of the swimming pool in cubic feet?

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A model representing a linear equation is shown.

Based on the model, what is the value of x?

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The diagram represents a side view of a roof in the shape of a right triangle.

Which measurement is closest to the length of the roof in feet?

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Two points are shown on a coordinate grid.

Which measurement is closest to the distance between points K and L?

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A cone has a radius of 12 centimeters and a height of 18 centimeters. What is the volume of the cone in cubic centimeters?

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Question

What value of x makes this equation true?

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