Inequalities
Equations
Distributive Property and Combining Like Terms
Factoring and GCF
Equations and Inequalities in Context
100
Write an inequality for the graph.
x > -1
100
Solve the equation for the unknown value:
-13.1 = w +5.7
-18.8 = w
100
Distribute the expression:
5(4x -3)
20x - 15
100
What is the GCF of (36, 81)
9
100
Write an equation. Then solve.
The temperature is -6 degrees. A cold front decreases the temperature to -13 degrees. By how many degrees did the temperature decrease?
-6 - x = -13
x = 7
200
Solve and graph the following inequality:
7+a>= 8
a >= 1
200
Solve the following equation for the unknown value.
9x + 4 = 40
x = 4
200
Distribute the expression:
-2(7x - 4)
-14x + 8
200
Write the expression in factored form. (Factor out the gcf)
3y + 12
3(y + 4)
200
Write an equation. Then solve.
A pack of pens costs $3 and a pack of pencils costs $1.50. You buy the same number of each pack and spend $18. How many packs of each did you buy?
4 packs of each
300
4 + x/2 >= 5
300
Solve the equation for the unknown value:
-5.1 = 4(d + 1.85)
d = -3.125
300
Combine like terms:
4m + 1 - 6 - 8m
-4m - 5
300
Factor out the gcf:
8b + 22
2(4b + 11)
300
Write and solve an inequality to represent this situation.
Katie wants to collect over 100 seashells. She has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. How many days will it take her to collect over 100 seashells?
100<34+12x
5.5<x
400
Solve and graph the following inequality:
-3x - 8 >= -2
x<=-2
400
Solve the following equation for the unknown value:
-5 = -4 + y/31
x = -31
400
Combine like terms:
8x - 3(6x + 10)
-10x - 30
400
Factor out the gcf:
72x - 18
18(4x -1)
400
Write and solve an inequality for Keith's situation.
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Keith withdraw money from his account?
200<=500-25x
12>=x
500
Solve and graph the following inequality:
-5(x+6)<-15
x> -3
500
Solve the following equation for the unknown value:
4 = (b+2)/12
b = 46
500
Simplify the expression:
7x + 3 -(2x - 10)
5x + 13
500
Factor out the gcf:
-14x - 14
-14(x + 1)
500
Allison practices her violin for at least 12 hours per week. She practiced for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
At least 12 sessions.
12 or more sessions
x>=12