Equivalent Expressions Test – Grade 7 Math (Printable PDF)

Question 1 Expand Two Expressions (2 points)

1. 7(3x − 4) (1 point)
2. −2.5(4x + 6) (1 point)

Question 2 Combine Like Terms (2 points)

Simplify 5x − 8 − 3x + 14 + 2x.

Question 3 Factor Out the GCF (2 points)

Factor each expression completely.

1. 28x + 42 (1 point)
2. −9x − 15 (1 point)

Question 4 Simplify and Verify (3 points)

Consider 2(5x − 3) − 4(x − 2.5).

1. Write an equivalent expression with no parentheses and no like terms. (2 points)
2. Show that your answer is correct by evaluating both expressions at x = 3. (1 point)

Question 5 Rectangle Perimeter (3 points)

A rectangle has the dimensions shown.

1. Write a simplified expression for the perimeter. (2 points)
2. Find the perimeter when x = 6. (1 point)

Question 6 Fraction Coefficients (2 points)

Simplify 34(12x − 8) + 12(6x + 10).

Question 7 Price Increase (3 points)

A store raises the price of every item by 12%. An item cost p dollars before the increase.

1. Write the new price as a single product of p. (1 point)
2. Find the new price of a skateboard that cost $75. (1 point)
3. Explain what the number in your product means. (1 point)

Question 8 Error Analysis (3 points)

A student wrote −3(2x − 7) = −6x − 21.

1. Identify the error. (1 point)
2. Write the correct expansion. (1 point)
3. Show with x = 2 that the student’s answer is not equivalent to the original. (1 point)