LIKE TERMS
SUBSTITUTING
MULTIPLYING AND DIVIDING
SOLVING EQUATIONS
WORD PROBLEMS
100

Simplify 3x + 4x.

7x

100

If x = 4, calculate x + 3.

7

100

Calculate 4 × 3x.

12x

100

Solve x + 4 = 9.

x = 5

100

Sam has x apples. She buys 5 more. Write an expression for how many apples she has now.

x + 5

200

Simplify 5a + 3b + 2a.

7a + 3b

200

If a = 5, calculate 3a.

15

200

Simplify 18x ÷ 3.

6x

200

Solve 3x = 21.

x = 7

200

A number is multiplied by 4 and the answer is 28. Write the expression.  

4x = 28 

300

8x − 3x + 6.

5x + 6

300

If x = 3, calculate 2x + 5.

11

300

Expand 5(2x + 3).

10x + 15

300

Solve 2x + 5 = 17.

x = 6

300

A movie ticket costs $x. Three friends each buy a ticket and spend $36 altogether. How much does one ticket cost?

3x = 36; x = $12

400

Simplify 4a + 3b − 2a + 5b.

2a + 8b

400

If a = 4 and b = 2, calculate 3a² − 2b.

44

400

Simplify 24x² ÷ 6x.

4x

400

Solve 4(x − 2) = 20.

x = 7

400

A rectangle has a length of x + 3 cm and a width of 4 cm. Its perimeter is 30 cm. Find the length.

2(x + 3) + 8 = 30; length = 10 cm

500

Simplify 7x + 4 − 3x + 2 − 5x.


−x + 6

500

If x = 2 and y = 5, calculate 2(x + y)²− 10

88

500

Expand and simplify 3(2x − 4) + 2(x + 5).

8x − 2

500

Solve 3x + 7 = 2x + 15

x = 8

500

A mobile phone plan costs $15 per month plus $4 per gigabyte of data. If the total bill is $47, how many gigabytes were used?

15 + 4x = 47; x = 8 GB

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