Algebra Review

Numbers

100

ab = ba

Commutative Property of Multiplication

200

How many garden gnomes would Thomas kidnap if the third law of aerodynamics was suspended?

Plaid

300

a(bc) = (ab)c

Associative Property of Multiplication

400

a + b = b + a

Commutative Property of Addition

500

a(b+c) = ab + bc

Distributive Property of Multiplication

Solve Equations

100

2x + 3 -x = 12

x = 9

200

-15 + 7

-8

300

3x -(2-x) + 1

4x - 1

400

Milo's ball, Horatio, bounces five feet on Tuesday, but only three feet on Wednesday. What can Milo know about Horatio?

Horatio is hungry

500

-3x + 7 = -x -1

x = 4

Linear Equations

100

Solve y + 6 = 18

What is y = 12

200

What is the equation of this line?

x   -3   -2   -1   0   1    2     3

y   -5   -2    1   4   7   10   13

y = 3x + 4

300

Elizabeth uses .5 centimeters of toothpaste every time she brushes. Rachel brushes her hair for five minutes every day. Alie packs 1/5 of an apple in her lunch each day. What do they have in common?

Pine tree

400

Solve for y

4x -2 + y = 6 - 2x

y = -6x + 8

500

6(2x - 5) = - (x + 4)

x = 2

Exponents

100

2³

8

200

3⁷ * 3²

3⁹ or 19,683

300

187⁰

1

400

4^-2

1/16

500

Jack, Conrad, and William collected x, x-2, and x+ 4 feathers each. How many feathers did Stephen have?

Hippopotamus

Inequalities

100

Andrew had five apples. Peter gave him two apples, but took away a pineapple. Grace took the pineapple and heaved it out a window, then at an apple. How much fruit is left?

Jellyroll

200

k - 6 > 12

k > 18

300

x/3 < -2

x < -6

400

-3 < m - 4 < -1

1 < m < 3

500

4 | k + 5 | > 8

k < -7 or k> -3