Multiplying and Dividing Integers Test – Grade 7 Math (Printable PDF)

Question 1 Multiplying Integers (2 points)

Find each product.

1. (−9)(8) (1 point)
2. (−6)(−12) (1 point)

Question 2 Dividing Integers (2 points)

Find each quotient.

1. −84 ÷ 7 (1 point)
2. −90 ÷ (−15) (1 point)

Question 3 Decimals and Fractions (3 points)

Find each value in simplest form.

1. (−1.6)(0.45) (1 point)
2. (−35)(−109) (1 point)
3. 78 ÷ (−72) (1 point)

Question 4 Number Line Jumps (3 points)

The number line shows four equal jumps starting at 0.

1. Write a multiplication equation for the picture. (1 point)
2. Write a division equation that follows from it. (1 point)
3. Without drawing, give the sign and value of (−4)(−5), and explain. (1 point)

Question 5 Pattern of Products (3 points)

The table lists products of a whole number and −6, with the first factor shrinking each row.

1. Fill in the three blank results. (1 point)
2. State how each result relates to the one above it. (1 point)
3. What conclusion about multiplying two negative numbers does this support? (1 point)

Question 6 Retreating Glacier (3 points)

A glacier’s edge changes position by −2.5 meters each month.

1. Find the change after 8 months. (1 point)
2. Find the change 6 months ago compared with today, using −6 months. (1 point)
3. A different glacier changed by −35 meters in 14 months. Find its mean monthly change. (1 point)

Question 7 Zero and Division (2 points)

(a) Evaluate 0 ÷ (−13). (1 point)

(b) Explain why 9 ÷ 0 is undefined. (1 point)

Question 8 Distributive Property (2 points)

Evaluate −6 × (5 − 9) in two different ways.