Simplify Expressions
Distribute
3(4x + 2)
What is:
12x + 6
Solving Equations
Solve for x.
x + 3 = 7
What is:
x = 4
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c < 33
We use inverse operations to solve equations and inequalities?
True
Christina has been busy planning a barbecue for her older brother's high school graduation. She invited 13 relatives from her mother's side of the family. The rest of the relatives she invited are from her father's side of the family. She invited a total of 58 relatives.
Let
f
represent the number of relatives Christina invited from her father's side. Which equation models the problem?
f+13=58
Combine like terms
15j + 5j - 7j
What is:
13j
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What are two possible solutions for x?
2x < 4
x: 0,1
Addition is the inverse of division?
False
Evelyn's favorite class is woodworking. For her last project, Evelyn glued together 7 strips of wood side-by-side to make a decorative sign. Each strip of wood had the same width. Her finished sign was 14 inches wide.
Let s represent the width of each strip of wood. What is the equation
7s=14
Combine like terms
12y + 5 - 2y + 3
What is:
10y + 8
Solving Equations
Solve for x.
5x = 25
What is:
x = 5
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
Molly is helping her younger sister run a lemonade stand. They earn
$
2
for each cup of lemonade they sell.Write an equation that shows how their total earnings,
y, depend on the number of cups sold, x
y =2x
Distribute, Then Combine like Terms
5(x + 4) +3x
What is:
8x +20
Solve for v.
v + 14 = 30
v = 16
Write an Inequality
J is below 8
J < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
Reagan jarred 10 liters of jam after 5 days. How many days does Reagan need to spend making jam if she wants to jar 16 liters of jam in all?
8
Factor
3x + 6
What is:
3(x + 2)
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
Modeling and Solving Inequalities
Create an inequality to represent the scenario and solve the inequality
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
What is:
7c > 56
Given c + 4 > 14
We use the inverse operation of subtraction to solve the inequality.
TRUE
Krysta earned a total of $6 by selling 2 cups of lemonade. After selling a total of 6 cups of lemonade, how much money will Krysta have made in all? Assume the relationship is directly proportional.
18