Combining Like Terms
Distributive Property
Equations
Inequalities
Word Problems to Equation/Inequlity
100

-12x  + 2x

-10x

100

4(2x + 7)

8x + 28

100

2x = 68

x = 34

100

6x > 36

How will it look on a number line?

100

A school has 10 clubs with an equal number of students. If there are currently 60 students, how many students are there in each club? Don't solve the problem, write an equation that represents this.

A. 10x = 60                         B. 60x = 10

C. 6x = 60                           D. 6x = 10

A. 10x = 60

200

6x + 7 + x - 8

7x - 1

200

(-5 + 2x ) (-11)

55 - 22x

200

x/9 = 4

x = 36

200

Write the inequality for this number line.

x ≤ -4

200

Last summer, Emma's family rented an RV. The rental fee allowed them to use the RV for 8 days. Emma's parents paid an additional $55 for the Great Outdoors upgrade, which included a grill to use for the duration of their trip. Emma's family paid $895 in all. Which equation can you use to find the rental cost, d, of each day they used the RV?

A. 55d + 8 = 895                 B. 8d + 55 = 895

C. 895d + 8 = 55                 D. 8d + 895 = 55

B. 8d + 55 = 895

300

2x2 + 2x - x  + 2x2

4x2 + x

300

1/4 (16x - 32)

4x - 8

300

4x - 23 = 37

x = 15

300

2x - 15 ≤ -5

x ≤ 5

300

When Edna's phone is fully charged, it can be used for up to 18 hours before running out of battery. It has been 6 hours since Edna's phone was fully charged. Let x represent how many more hours Edna's phone can be used before running out of battery. Write an inequality for this problem.

A. x + 6 > 18                    B. x + 6 < 18

C. x + 6 ≥ 18                    D. x + 6 ≤ 18

D. x + 6 ≤ 18

400

2x + 2y + x2 - x + x2

2x2 + x + 2y

400

17s - 2( -5 + 9s)

-s +10

400

x/-7 +10 = 19

x = -63

400

x/-3 + 12 < 18

x > -18

400

An airport has enough space for 16 planes to park. There are 9 planes parked at the airport right now. Let x represent how many more planes can park at the airport. Write an inequality that represents this story.

x + 9 < 16

500

2a + 3b - 5a + 9b - 4a - 5c - 3b + 16a - 2b

9a + 7b - 5c

500

-(3a + 2) -3(5a + 7)

-18a - 23

500

3/-2 x + 20 = 50

x = -20

500

-1/3(9x - 15) ≥ 17

x ≤ -4

500

Monica bought 3 pineapples to cut up and serve on a fruit platter. The pineapples each cost the same amount, and they cost less than $12 in all. Let x represent how much each pineapple cost. Write an inequality that represents this word problem.

3x < 12