6 Math Expressions & Equations

Combining Like Terms

100

14m  - 11 - 9m + 1

5m - 10

200

25x - 27x + 9 + 5

-2x + 14

300

3r - 1 + 6x + 9r - 3x + 9

12r + 3x + 8

400

12x + 11s - 8x + 12 - 5s - 12

4x + 6s

500

9 + 4x -12y +2x + 6 - 4y

6x -16y + 15

Equivalent Expressions

100

Are 3x + 3 and 3x(1 + 1) equivalent expressions? 

No, they are not equivalent expressions. 

200

Are 3(2x + 4x) and 10x + 8x equivalent expressions?

Yes, they are equivalent expressions because they both equal 18x

300

Are 2x + x - x + 4x and 7x equivalent expressions?

No, they are not equivalent expressions because 2x + x -x = 2x  and 2x + 4x = 6x

400

Are 4x + 8 and 2(2x + 4) equivalent expressions?

Yes, they are equivalent expressions.

500

Are 8x + 11 and 8(x + 3) equivalent expressions?

No, they are not equivalent expressions because 8(x+3) is equal to 8x + 24

Distributive Property

100

3(6x + 2)

18x + 6

200

9(4 - 2x)

36 - 18x  or -18x + 36

300

6(2x - 6) + 2

12x - 36

400

1/3(9x+15) 

3x + 5

500

1/2(4x + 10x)

7x

Solving equations

100

Find the missing value of the variable:

x + 3 = 7

Include a FULL solution (with variable and equal sign)

 x = 4

200

Find the missing value of the variable:

4w = 48

Include a FULL solution (with variable and equal sign)

w = 12

300

Find the missing value of the variable:

1.5y = 165

Include a FULL solution (with variable and equal sign)

y = 110

400

Find the missing value of the variable:

p - 1.2 = 5

Include a FULL solution (with variable and equal sign)

p = 6.2

500

Find the missing value of the variable:

Include a FULL solution (with variable and equal sign)

w/6 = 12

w = 72

Factor using GCF

100

2x + 2y

2(x + y)

200

3p + 3q

3(p +q)

300

4 + 2x

2(2 + x)

OR

2 (x +2)

400

40c - 12y

4(10c - 3y)

500

18b + 99c

9(2b + 11c)