Topic 4 Expression Review

Factoring Expressions

100

Simplify the following expression by factoring: 18x + 72

9 (2x + 8) 

200

Simplify the following expression by factoring: -14x + 42

-14(x - 3) 

300

Simplify the following expression by factoring: -45x - 25

-5 (9x + 5) 

400

Simplify the following expression by factoring: 

10x + 8y 

2 (5x + 4y) 

500

Simplify the following expression by factoring: -36x + 60y - 48

-12( 3x - 5y + 4) 

Adding Expressions

100

Simplify the following expresion by adding the expression: (4x + 8) + (3x - 9) 

7x - 1

200

Simplify the expression by adding the expressions: 

(-5x +7) + (3x + 3)

-2x + 10 

300

Simplify the expression by adding the expressions: (8x+ 4) + (3y + 2) 

8x + 3y + 6

400

Simplify the expression by adding the expressions: 

(-3x + 8y + 4) + (8x + 4y +7) 

5x +12y + 11

500

Simplify the expression by adding the expressions: 

(-7x + 6y + 8) + (4x + 7y + 2) 

-3x + 13y + 10

Subtracting Expressions

100

Simplify the expression by subtracting the expressions: (3x +8) - (2x -5) 

x +3

200

Simplify the expression by subtracting the expressions: (7x + 8) - (4x + 3) 

3x + 5

300

Simplify the expression by subtracting the expressions: - (3x - 7) -10x 

-13x +7

400

Simplify the expression by subtracting the expressions: 4x  -(4x + 10) 

-10 

500

Simplify the expression by subtracting the expressions:  -(3x -8) - (8 + 7x)

4x

Distributive Property

100

Simplify the following expression by distributing and adding/subtracting the following expressions: 4(3x + 3) + (9x + 3) 

21x + 15

200

Simplify the following expression by distributing and adding/subtracting the following expressions: 

5(3x + 8) 

15x +40

300

Simplify the following expression by distributing and adding/subtracting the following expressions: 

3(2x +4) - 5 

6x + 7

400

Simplify the following expression by distributing and adding/subtracting the following expressions: 

5(3x+4) + 8x + 7 

23x + 48

500

Simplify the following expression by distributing and adding/subtracting the following expressions:3(2x + 5) +2 (3x + 6) 

12x + 27

Constructing and solving equations

100

I think of a number and add 3. The answer is15

12

200

I think of a number and subtract 4. The answer is78

82

300

I think of a number and multiply it by 4. The answer is 36

9

400

I think of a number and divide it by 6. The answer is 10

60

500

I think of a number, multiply it by 4 and then add 2. The answer is 20

5