Chapter 6 Review

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 Property

100

3(6x + 2)

18x + 6

200

9(4 - 2x)

36 - 18x  or -18x + 36

300

6(2x - 6) + 2

12x - 34

400

5(2x+1) 

10x + 5

500

8(4x + 3x)

56x

Order of Operations

100

23 + 9 - (4⋅8)

0

200

(9⋅2) ÷ 3 + 14

20

300

36 ÷ 3⋅ 2

24

400

13 + (17 - 5) ⋅ 8 / 2

61

500

38 ⋅ 3 - 20 ÷ 2 + 6

110

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

Misc

100

a²+(6÷2x4)

a²+12

200

The P in PEMDAS stands for this

Parenthesis (Grouping)

300

(¼)³ as repeat multiplication

¼ x ¼ x ¼

400

This property tells us that the order of terms in addition and multiplication don't matter.

The Commutative Property

500

GCF of 9 and 48

3