2023-2024 Grade 8 PSSA Item Sampler

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Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

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• Kevin is not correct because the exponents are subtracted when multiplying powers with the same base, and 5 - 4 = 1.

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.

How many cups of sugar does Lily use for 1 cup of butter?

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

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The graph shows a line and triangles A and B.

Which statement about the graph is correct?

• The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

• The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

• The slope of the line is -2/3, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

• The slope of the line is -2/3, and the length of triangle B is 2 times the length of the hypotenuse of triangle A.

The graph shows a line and triangles A and B.

Which statement about the graph is correct?

• The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

• The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

• The slope of the line is -2/3, and the length of the hypotenuse of triangle B is 3/2 times the length of the hypotenuse of triangle A.

• The slope of the line is -2/3, and the length of triangle B is 2 times the length of the hypotenuse of triangle A.