Pre-Algebra Math Jeopardy

Properties of Numbers

100

Which property is shown?

7 + 6 + 8 = 6 + 8 + 7

Commutative Property of Addition

200

Which property is shown?

(6x)y = 6(xy)

Associative Property of Multiplication

300

Which property is shown?

5(b + 0) = 5(b) 

Additive Identity

400

Bob used mental math to simplify 4 x 9 x 50. Which properties did he use and what is his answer?

4 x 5 x 9                  Commutative Property of                                        Multiplication

(4 x 5) x 9                Associative Property of                                            Multiplication

20 x 9 = 180

500

Which property is shown?

12 + 3a = 3(4 + a)

Distributive Property

The Distributive Property

100

Simplify using the distributive property:

30 x 104

30(100) + 30(4) = 3,120

200

Simplify using the distributive property:

12(52) - 12(62)

12(52-62) 

12(10)

120

300

Simplify using the distributive property:

(5y + 8)(-3)

-15y - 24

400

Simplify using the distributive property:

3(9) - 3(5) + 3(6)

3(9 - 5 + 6)

3(4 + 6)

3(10)

30

500

Solve using mental math:

The trip from Roberto's house to his aunt's house is 896 miles. How long is the round trip?

2(900-4)

2(900) - 2(4)

1800 - 8

1,792 miles

Simplifying Variable Expressions

100

List the coefficients, the variables, and the constants:

5x - 3y + z - 2

Coefficients: 5, -3, 1

Variables: x, y, z

Constants: -2

200

List the coefficients, the variables, the constants, and the like terms:

2b + 3ab - b

Coefficients: 2, 3, -1

Variables: a, b

Constants: none

Like terms: 2b, b

300

Simplify: 

2r - 5 + 6r

8r - 5

400

Simplify. Justify each step:

6(2x + y) + 2y - 12x

12x + 6y + 2y - 12x        Distributive Property

12x - 12x + 6y + 2y        Commutative Property of                                              Addition

0 + 8y                            Associative Property of                                                  Addition

8y                                  Additive Identity

500

Simplify:

3(2n + 4) - 2(3n + 6)

6n + 12 - 6n - 12

6n - 6n + 12 - 12

0 + 0

0

Variables and Equations

100

State whether each equation is true, false or an open sentence:

1. 3 x 9 = 28

2. -24(-2) = 18(4 + 2)

3. 4[2 + (-6)] = 2[x - (-12)]

1. 27 = 28; false

2. 48 = 108; false

3. open sentence

200

A veterinarian weights 140 lbs. When she steps on a scale while holding a dog, the scale shows 192 lbs. Let d represent the weight of the dog. Does the dog weigh 52 lbs? Write an equation and then solve for d.

 140 + d = 192                                                 -140         -140

d = 52; yes

300

Solve:

-27 = w - 14

   -27 = w - 14                                                        +14         +14

-13 = w

400

Solve:

x - 366 = -415

x - 366 = -415                                                         +366    +366

x = -49

500

Solve:

-215 + e + (-43) = -145

-215 - 43 + e = -145

  -258 + e = -145                                             +258          +258

e = 113

Solving Equations by Multiplying or Dividing

100

Solve:

4x = 84

4x/4 = 84/4

x = 21

200

Solve:

x/-9 = -3

(-9)x/-9 = -3(-9)                                                      

x = 27

300

Raul saves $15 each month. At this rate, how many months will he take to save $135? Write an equation, then solve.

15m = 135

15m/15 = 135/15                                                       

m = 9 months

400

Solve:

-2 = d/8

(8)-2 = d/8(8)     

-16 = d

500

Without solving, state whether the solution will be positive or negative:

x/-2 = -4                                     

Positive