Solving Equations
Solving Inequalities
Equations from Story Problems
Inequalities from Story Problems
100

2x = 4

x=2

100

3x<9

x < 3

100

Switch Gears Activity Boxes sends a new building activity in the mail each month. Derek prepaid an 8-month subscription for his daughter. He signed up during their holiday sale and received $15 off the total cost. Derek paid $81 in all. Which equation can Derek use to find x, the regular cost per month? 

8x - 15 = 81

x = 12

100

The difference between a number and 7 is greater than -23

x-7 > -23


x>-16

200

-1 + 6x + 30 = 53

x=4

200

-x+5 < -10

x > 15

200

Riley and her friends went to the Color Splat paint-tag course last weekend. The course charges $40 for an hour of group tag plus a rental fee for each paint marker. Riley's group played for one hour, rented 6 paint markers, and paid a total of $94.Which equation can you use to find the rental fee, x, for each paint marker? 

6x+40=94

x = 9

200

Eight more than the quotient of a number and -5 is less than or equal to 6.

(x/-5) + 8≤ 6

x ≥ 10


 

300

-7 - x = -5

x = -2

300

(m/-6)+16  > 19

m <-18

300

Mr. Mosley ordered pizzas for the volunteers at Highland School's fundraiser event. He ordered 12 large pizzas from the Roman Rounds pizzeria. Since this was a bulk order, Roman Rounds reduced the price of each large pizza by $2. The total came to $192.Which equation can you use to find the amount of money, p, Roman Rounds normally charges for a large pizza? 

12(p-2) = 192


p = 18

300

14 more than twice a number is at most 50.

2x - 14 ≤ 50


x ≤ 32

400

4(2x-9) = -12

x= 3

400

(x/7) -13  ≥ -11

x ≥ 14

400

Brandon's parents are planning a trip to the Whimsy Escape resort. They plan to get an 8-day Fun Pass, which will give Brandon access to all the slides and pools at the resort during their stay. His parents also plan to get him a $25 arcade pass. Altogether, Brandon's parents will spend $121 on passes.Which equation can Brandon use to find d, the daily cost of a Fun Pass? 

8d + 25 =121

d = 12

400

Sally is going furniture shopping using her credit card. If her credit card has a limit of $2,000 and she is currently holding a balance of $763, how much can she afford to spend on furniture?

763 + x ≤ 2,000


x ≤ 1237

500

31 = n - 3(n-7) 

n = -5

500

11- 4p ≤ -9

p ≥ 5

500

Jade's Gem Shop is having its annual spring sale, when every item in the store gets marked down. During the sale, charm bracelets sell for $4 less than full price. Kristen purchases 5 identical charm bracelets: one for each of her friends. She pays a total of $45.Which equation can Kristen use to find how much money, c, each charm bracelet costs at full price? Solve for c

5(c-4) = 45

c=13

500

Vera is saving up to buy a $426 laptop. She already has $75 saved from her birthday. If she works part time at the grocery store making $9 per hour, how many hours must she work to purchase the laptop?

75 + 9x ≥ 426


x ≥ 39