8th-Math-Prepost-ELSummer24

Which of these is an irrational number?

• 4.25 × 10^−2

• 0.73

• √5

• 456/5

Solve: 7x − 3(4 + x) = 28

• x = 4

• x = 5

• x = 7

• x = 10

A weather balloon is released from a height of 10,000 meters. It rises at a constant rate. What is the rate of change of the balloon’s height in meters per minute?

• 400

• 2,000

• 2,400

• 10,400

Square PQRS is congruent to square EFGH. Which series of transformations to square PQRS will result in square EFGH?

• translation down by 3 units followed by reflection across the y-axis

• reflection across the y-axis followed by translation down by 5 units

• reflection across the x-axis followed by 45° clockwise rotation about the origin

• translation to the left by 4 units followed by 90° counterclockwise rotation about the origin

What is the value of 6^2 × 6^3?

• 216

• 7,776

• 46,656

• 248,832

A right triangle has sides measuring 6 units, 8 units, and 10 units. Which of the following shows the Pythagorean relationship of the area of the squares drawn along each side?

• 12 + 16 = 28

• 18 + 24 = 42

• 24 + 76 = 100

• 36 + 64 = 100

Harry constructed two scatter plots to represent the relationship between x and y in two experiments. Which statement BEST compares the two graphs?

• Graph 1 shows a linear positive association, and Graph 2 shows a nonlinear negative association.

• Graph 1 shows a linear negative association, and Graph 2 shows a nonlinear positive association.

• Graph 1 shows a nonlinear positive association, and Graph 2 shows a linear negative association.

• Graph 1 shows a nonlinear negative association, and Graph 2 shows a linear positive association.

Greg wants to compare two different relations. He drew a graph for one relation and created a table of values for the other relation. Which statement about this graph and the values in this table is true?

• Both do not represent functions because they do not pass through the origin.

• Both represent functions because they are graphically represented as straight lines.

• The graph represents a function because it is a horizontal line, but the values in the table do not represent a function because there are multiple values for y for a single value of x.

• The graph does not represent a function because it is not a vertical line, but the values in the table represent a function because there are multiple values for y for a single value of x.

How many solutions does the equation 2(p + 5) = 4 – 10p have? Explain how you found your answer. Write your answer on the lines.

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