Inequalities
Equations
Adding/Subtracting Linear Expressions
Factoring and GCF
Equations and Inequalities in Context
100
Write an inequality for the graph.
x > -1
100
Solve the following equation for the unknown value.
9x + 4 = 40
x = 4
100
Find the sum:
(5y + 3) +(y-4)
6y -1
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:
7a - 2 >= 5
a >= 1
200
Solve the equation for the unknown value:
-13.1 = w +5.7
-18.8 = w
200
Find the sum:
2(9z + 6) + 4(5 + z)
22z + 26
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
Solve and graph the following inequality:
-3x - 8 >= -2
x<=-2
300
Solve the equation for the unknown value:
-5.1 = 4(d + 1.85)
d = -3.125
300
Find the difference:
(8w +4) - (6 - 2w)
10w - 2
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:
-5(x+6)<-15
x> -3
400
Solve the following equation for the unknown value:
3t-4t = 11
x = -11
400
Find the difference:
-4(-1/2b-8)-2(8+5b)
-8b+16
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:
(-x +3)/5 > -25
x < 128
500
Solve the following equation for the unknown value:
4/5(-2x-3x+45) = 4
x = 8
500
Find the difference:
-4/3(3+9a)-3/4(-a-4)
-45/4a-1
500
Factor out the gcf:
5x^2+10x^3+20x
5x(x + 2x^2+4)
500
A cooking class spends 12 minutes preparing the ingredients and at least 35 minutes cooking the dish. The rest of the time is spent researching the dish. Class is an hour long. Write an inequality to represent the amount of time to research the dish.
No more than 13 minutes
35<=60-12-x
13>=x