Equations, Expressions, Inequalities

Combine Like Terms

100

Simplify:  5x + 1 + 1

5x + 2

200

Simplify:  2w + 3 + 4w

6w + 3

300

Simplify:  -10x + 6 + 5x

-5x + 6

400

-3r - 7r - 4r + 2

-14r + 2

500

4x + 17 + 3c - 8x - 10

-4x + 7 + 3c

Factoring

100

Factor: 2x + 4

2(x + 2)

200

Factor: 4k + 16

4(k + 4)

300

Factor: 10m + 45 

5(2m + 9)

400

Factor: -8v + -16

-8(v + 2) or 8(-v + -2)

500

-55m + -60

-5(11m + 12) or 5(-11m + -12)

2 and Multi-Step Equations

100

Solve for x:  2x + 3 = 9

x = 3

200

Solve for x:   8x - 10 = 14

x = 3

300

Solve for x:   -3x + 6 = 33

x = -9

400

Solve for x:   2(5x - 13) = -66

x = -4

500

Solve for t:  -5(-2t + 9) = -25

t = 2

Inequalities

100

Which inequality sign would you use for  the phrase "no more than"?

≤

200

What sign would you use for the words "at least"?

≥

300

Write and graph an inequality that represents the scenario:

You need at least $70 to buy a new pair of shoes

x ≥ 70

●-------------->

70 

400

Solve for x:  3x + 7 > 22

x > 5

500

-5x < 20

x > -4

Misc.

100

There are 130 flowers in a garden which are either red or orange.  There are 50 red flowers, how many orange flowers are there?  (write and solve a 7th grade equation)

x + 50 = 130

x = 80  There are 80 orange flowers

200

You want to buy a video game for $60.  You have $30 saved up already and can save $5 each week.  How many weeks do you have to save up before having enough money to buy the game?

5x + 30 = 60

x = 6

300

When do you use an open circle when graphing an inequality?

When the sign is either < or >

400

Solve for x:  9(x + 1) = 27

9x + 9 = 27

9x = 18

x = 2

500

Write and graph the inequality:

You can spend at most $50 on shoes

x ≤ 50

<------------●50