Equations/Inequalities
1.5x = 3
x = 2
Jordan wants to spend at most $45 on her friend’s birthday gifts. She already bought her a $15 yoga ball. Write an inequality to show how much she can still spend on her friend, then solve the inequality.
x = 30
Graph x < -7
open circle going left
Factor 24ab – 40b
8a(3 - 5b)
-2x + 6 > 20
x < -7
Bill wants to spend no more than $40 on office supplies. She wants to spend $5.50 on post-it notes, and $2 per notebook. Write and solve an inequality to find how many notebooks he can buy.
x is less than or equal to 17.25
graph -2x > 22
x < -22
open circle going left
What is n + n – 0.18n equal to?
1.82n
96 > 4(5x - 6)
x < 6
At a yard sale Henry spends $140. He buys two board games for $40, and the rest on 3 pieces of lawn equipment. Write and solve an equation to find out how much was spent on equipment.
x = $33.33
Graph 3x is greater than or equal to 9
x > 3, closed circle going right
A scientist is recording temperatures outside for an experiment. At night the coldest temperature reached was 12 Degrees. During the day the warmest temperature reached was 67 Degrees. What was the Range of the Temperatures?
55 Degrees
25.68 = 2x - 6.32
x = 16
Julia is buying records online. Each record costs $25, while shipping costs an additional $7 for the entire order. Write, and solve the inequality that can be used to find the total number of records, r, Julia can order if she spends no more than $128.
25r + 7 = 128
r is less than or equal to 4.84 records - so she can only buy 4
one half x is greater than 1
x > 2
open circle going to the right
Ms. Graves gave her class 12 minutes to read. Carrie read 5 pages in that time. At what rate, in pages per hour, did Carrie read?
27.5 pages per hour
(2/3)(x + 19) < 4
x < -13
A summer camp rewards campers and counselors with badges. The camp orders 200 badges. They plan to give 25 badges to counselors. They ordered at least 3 badges for each camper. How many campers could be at the camp? Show your work.
3c + 25 = 200
c = 91.6 campers so 92 when rounded up
Graph: one third x plus 2 is less than or equal to 7
x is less than or equal to 15
closed circle going left
A house has a length of 2x - 3 ft, and a width of 5x + 10 ft, what is the total perimeter?
14x + 14 ft