Grade 7 Basic Math Review

Proportions/%

100

Convert 0.06 to a percent

6%

200

Solve the proportion.

2/5 = x/6

2.4

300

What is 25% of 144?

36

400

One package of blueberries costs $3. How many packages of blueberries can you buy for $9?

3 packages of blueberries

500

Fred buys a video game disk for $4. There was a discount of 20%.What is the sales price?

$3.20

Decimals

100

3.2 + .91 + 6

10.11

200

32.1 - 0.8

31.3

300

2.36 x 100

236

400

7.82 x 5

39.1

500

93 divided by 1000

0.093

Number Theory

100

List the factors of the number 8.  (Hint, these are the numbers that divide into 8 and remain a whole number.)

1, 2, 4, 8

200

Is the number 81 a prime of composite number?

Composite. 9 x 9 = 81. 

81 has the factors: 1, 9, 81.

A prime number only has factors of 1 and itself.

300

Evaluate   8³

512

400

Find the square root of 81

9

500

What is the least common multiple of 

8 and 12

Hint: List the multiples of 8 and 12 and choose the smallest common one.

24

Multiples of 8: 8, 16, 24

Multiples of 12: 12, 24

24 is the first and smallest common number.

Fractions

100

Simplify the improper fraction 15/2 into a mixed number.

7 1/2

Divide 15 by 2.

200

Turn the mixed number into an improper fraction

4 1/3

13/3

Multiply the denominator by the whole number and add the numerator. All over the existing denominator 3.

300

Multiply   6/11 x 2/3

4/11

400

Subtract 4/5 - 1/3 and simplify

7/15

500

4/15 divided by 4/5

1/3

Algebra

100

Distribute.  3(x + 4)

3x + 12

200

-3(6 - 2) + (-4)(2)

-20

300

True or false:

4x - 3 = 15 when x = 2

false

400

Solve

x - 14 = 22

x = 36

500

Solve:

2(x + 3) - 4(x - 5)

-2x + 26