Grade 7 · Math

Grade 7 Math questions and answers

Ratios, slope, integers, and the Pythagorean theorem. Written in American English for students, parents, and teachers in the United States.

Full Math quiz All Grade 7 subjects

Topics

Proportions

Cross multiply and unit rates.

 Expressions

Like terms, coefficients, and simplifying.

Practice quiz

Question and answer list

Open a card to see the answer. These are original practice items for US elementary students — not a state test copy.

1. A proportion says two ratios are

Answer: equal

a/b = c/d.

2. To solve 3/4 = x/20, x =

Answer: 15

Cross multiply: 3 × 20 = 4x.

3. A unit rate of 60 miles in 2 hours is

Answer: 30 miles per hour

Divide miles by hours.

4. If 5 apples cost $4, 10 apples cost

Answer: $8

Double the apples, double the cost (same rate).

5. Cross multiplying 2/5 = 6/x gives

Answer: x = 15

2x = 30.

6. A 2 cm drawing represents 8 m. The scale is

Answer: 1 cm : 4 m

Divide both parts by 2.

7. 15 is 25% of what number?

Answer: 60

15 = 0.25x → x = 60.

8. If y varies directly with x and y = 10 when x = 2, y when x = 6 is

Answer: 30

y = 5x.

9. In 7x, the 7 is the

Answer: coefficient

It multiplies the variable.

10. Like terms have the

Answer: same variable part

3x and 5x are like terms.

11. Simplify 4x + 3x

Answer: 7x

Add coefficients: 4 + 3.

12. The constant in 2x + 9 is

Answer: 9

A constant has no variable.

13. 3(x + 4) expands to

Answer: 3x + 12

Distribute 3 to both terms.

14. Evaluate 2x − 5 when x = 6

Answer: 7

2(6) − 5 = 7.

15. An exponent in x³ tells you to

Answer: multiply x by itself 3 times

x · x · x.

16. 2x + 5 and 5 + 2x are

Answer: equivalent expressions

Addition is commutative.

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