Equivalent Expressions

Combining Like Terms

100

14m + 6r - 11 - 9m + 1

5m +6r - 10

200

25x + 16s - 3x + 9 + 2s + 5

22x + 18s + 14

300

3r - 1 + 6s + 9r - 3s + 9

12r + 3s + 8

400

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

4x + 6s

500

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

6x -16s + 15

Equivalent Expressions

100

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

No, they are not equivalent expressions. 

200

Are 3x(2 + 4) and 18x equivalent expressions?

Yes, they are equivalent expressions because 3x * 2 is 6x and 3x * 4 is 12x. 6x + 12x = 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 is 8x and 8*3 = 24.

Distributive Prop/Factoring

100

3(6x + 2)

18x + 6

200

9(4 - 2x)

36 - 18x  or -18x + 36

300

6(2x - 6) + 2

12x - 34

400

Factor:

36x + 12y + 24

12 ( 3x + y + 2)

500

Factor:

-12x + 24 -18y

-6 (2x - 4 + 3y) OR

6 (-2x + 4 - 3y)

Evaluating Expressions

100

Evaluate 4(y-5) 

if y=9

16

200

Evaluate  5 + (t ⋅ n) 

if t = 9  n = 4

41

300

Evaluate  7(x+3)     if x = 6  

63

400

Evaluate    12b + 45   if  b= 2

69

500

Evaluate    16x + 2y    if x = 2,  y = 8

48

Adding/Subtracting Expressions

100

add:

(-3/5n - 2 - 3t) + (n + 4 -1/2t)

2/5n + 2 - 3 1/2t

200

add: 

1/3n + 2/3 and -1/6n + 1/6m

1/6n + 1/6m +2/3

300

Find the sum:

(-3.5t - 4s +4.5) + (-7.1- 0.3s + 4.1t)

0.6t - 4.3s - 2.6

400

Subtract: 

(21x) - (-16 +17x)

4x + 16

500

subtract:

(6x - 2y - 5) - (-5 + 9y - 8x)

14x - 11y