8th Grade Math EOG (A - Multiple Choice)

#1. How is the decimal below expressed as a fraction? 0.4444…

• 4/11

• 1/4

• 44/9

• 4/9

Answer explanation

To convert 0.4444... to a fraction, let x = 0.4444... Then, 10x = 4.4444... Subtracting these gives 9x = 4, so x = 4/9. Thus, 0.4444... is expressed as the fraction 4/9.

Answer explanation

To simplify (f^9 · f^3) / f^2, first combine the exponents in the numerator: f^(9+3) = f^{12}. Then, apply the division rule: f^{12} / f^2 = f^{12-2} = f^{10}. Thus, the correct answer is f^{10}.

#3. Georgia is reading at a rate of 2 pages every 5 minutes. Which graph below shows the same unit rate?

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#4. Mario is solving the equation shown. Which value of x will make the equation true?

• -15

• 22.5

• 25

• 10

Answer explanation

To solve the equation, substitute each answer choice for x. Only when x = 25 does the equation hold true, confirming that 25 is the correct value for x.

#5. Eddie is helping his friend understand how to identify functions from sets of ordered pairs. Which set of ordered pairs could he show his friend as an example of a set that represents y as a function of x?

• {(2, 4), (2, 6), (2, 8), (2, 10)}

• {(1, 9), (3, 9), (5, 9), (7, 9)}

• {(-1, 7), (2, 6), (-3, 9), (2, 8)}

• {(0, 0), (3, 9), (5, 25), (3, -9)}

Answer explanation

The set {(1, 9), (3, 9), (5, 9), (7, 9)} represents y as a function of x because each x-value (1, 3, 5, 7) is unique, ensuring that for every x, there is exactly one corresponding y.

#6. Clark transformed a geometric shape on a graph by using a rigid transformation. Which of the following could not have been the transformation that Clark used?

• Dilation

• Rotation

• Translation

• Reflection

Answer explanation

Dilation changes the size of a shape, while rigid transformations (rotation, translation, reflection) preserve size and shape. Therefore, dilation could not have been the transformation Clark used.

#7. Three squares are joined below at their vertices to form a right triangle. Find x, the side length of the square marked in the diagram.

• 48 feet

• 12 feet

• 144 feet

• 17.5 feet

Answer explanation

To find x, apply the Pythagorean theorem. The squares' side lengths correspond to the triangle's legs. If the other sides are 48 feet and 144 feet, then x = 12 feet satisfies the equation, making it the correct choice.

#8. Which scatter plot below shows both linear association and negative association between the two variables?

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#9. Jacobi is painting a square tabletop with an area of 52 square feet. Which point below best represents the side length of one side of the tabletop?

• Point A

• Point B

• Point C

• Point D

Answer explanation

To find the side length of a square with an area of 52 square feet, use the formula: side length = √area. Thus, side length = √52 ≈ 7.21 feet. Point B best represents this value.

#10. Callan is buying a square shaped platter with an area of 169 square inches. Which shows the correct step he should take if he wants to find out the side length of the platter?

• 169 ÷ 2

• 169 ÷ 4

• √169

• ³√169

Answer explanation

To find the side length of a square platter, Callan should take the square root of the area. Since the area is 169 square inches, he should calculate √169, which equals 13 inches, the side length of the platter.