3.1-3.3 Review Jeopardy!

3.1 3.2 3.3

100 100 100200 200 200300 300 300400 400 400

500 500 500

3.1 $100 Name the property that is illustrated in each equation.

(–4) 9 = 9 (–4)

3.1 $100 answer(Order changed)

Commutative Property of Multiplication

3.1 $200 Simplify each expression. Justify

each step.

29 + 37 + 1

3.1 $200, answer29 + 37 + 1

=29 + 1 + 37 Commutative Property of Addition

= (29 + 1) + 37

= 30 + 37

Associative Property of Addition

= 67Add.

3.1 $300Simplify each expression. Justify each

step.

7 2 9

1 7

Current, 300, answer

7 Commutative Property of Multiplication

Associative Property of Multiplication

Multiply.

= (7 ) 2 9

1 7

=2 9= 1 2

9

1 7

2 9

3.1 $400

Write the product using the Distributive Property. Then solve.

5(58)

3.1 $400, answer5(58)

(5 60) - (5 2)

Rewrite 58 as a difference

300 - 10 = 290

Distributive Property and multiply

Subtract

5(60 - 2)

3.1 $500Write the product using the Distributive

Property. Then solve.

9(34)

3.1 $500, answer

9(34)

(9 30) + (9 4)

Rewrite 34 as a sum.

270 + 36 = 306

Distributive Property and multiply

Add.

9(30 + 4)

3.2 $100

Combine like terms:2x - 5x – 4y + 3

3.2 $100, answer

Identify like terms.

Combine coefficients:

2-5

2 + -5 = -3

2x - 5x – 4y + 3

-3x – 4y + 3

2x - 5x – 4y + 3

3.2 $200

Use the distributive property to simplify.

6(5 + n) – 2n

3.2 $200, answer

Distributive Property

Multiply.

6(5 + n) – 2n

30 + 6n – 2n

6(5) + 6(n) – 2n

30 + 4n Combine coefficients: 6 – 2 = 4.

Identify like terms.30 + 6n – 2n

3.2 $300

Simplify: 3(c - 7) – c

3.2 $300,answer

Distributive Property

Multiply.

3(c - 7) – c

3c - 21 – c

3(c) - 3(7) – c

2c - 21 Combine coefficients: 3 – 1 = 2.

Identify like terms.3c - 21 – c

3.2 $400

9d -7c – 4d – 2c

3.2 $400, answer

Identify like terms.

Combine coefficients: 9 – 4 = 5

-7 – 2 = -7 + (-2) = -9

9d - 7c – 4d – 2c

5d -9c

3.2 $500

Simplify: -9(r - 4) + r

3.2 $500, answer

-9(r - 4) + r-9r + 36 +r-8r +36

Distributive property

Combine like terms

3.3 $100

8x + 3x + 6 – 2 = 37

3.2 $100, answer

11x + 4 = 37 Combine like terms.

– 4 – 4 Since 4 is added to 11x, subtract 4 from both sides.11x = 33

x = 3

Since x is multiplied by 11, divide both sides by 11.

3311

11x11

=

8x + 3x + 6 – 2 = 37 Commutative Property of Addition

3.3 $200

-9x - 5 + 4x – 2 = 43

3.3 $200, answer-9x - 5 + 4x – 2 = 43

-9x +4x -5 -2=43-5x -7 =43

-5x=50

X= -10

Commutative Property

Combine like terms

Inverse operations

3.3 $300

3.3 $300, answer74

5n4

Change denominators to 1. Multiply both sides by 4.

74

–3 4

5n4

4 + = 4 ( ) ( )5n + 7 = –35n = -10

n=(-2)

Simplify using inverse operations to isolate the variable.

SAD MEG

+ = -3/4

3.3 $400

x 2

7x9

17 9

+ – =

3.3 $400, answer

23x = 46 x = 2

3.3 $500x 3

5x9

13 9 + - =1/3

3.3 $500, Answer

8x =16

X = 2