Equality Basics
This is the term for a mathematical sentence that states two expressions are equal.
equation
Solve: x + 3 = 7
4
When graphing the inequality < or >, what type of circle should you place on the number line?
Open circle
Simplify: 2x + 3x
5x
AJ mows lawns, l , for his neighbors on the weekends. He earns $25 per lawn. Identify the independent and dependent variables.
Total earnings, e : Dependent
Number of Lawns, l : Independent
This property states that if you add the same number to both sides of an equation, the sides remain equal.
Addition Property of Equality
Solve: y - 5 = 10
15
Graph the solution for x in the inequality x < 4 on a number line.
Mrs. Taylor will check your answer!
Translate this mathematical phrase into an algebraic expression: "Three more than twice a number."
2x+3
Fill in the blank: The independent variable should be represented on the ___ coordinate.
x
A number that makes an equation true is called this.
solution
Solve: 2z = 16
8
Joe wants to score at least 12 points in the game. Write an inequality to represent this scenario.
p≥12
Simplify: 4(x+2)-3
4x+5
List four of the representations of two variable relationships.
words, equations, tables, and graphs
This property states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.
Division Property of Equality
Solve: x/4 = 20
80
Translate this sentence into an inequality: "A number n is at most 10."
n≤10
Find the GCF of 27 and 54
27
Kari buys a pair of sunglasses while shopping for $22. She will also buy t-shirts, t, for $13 each. Write a two variable equation to represent the total cost, c, of her purchase.
13t+22=c
True or False: 6 is a solution to the equation 2x-5=7
True
Solve: 3x-1=11
4
Solve and graph the inequality: x+7≤10
Solution Set: x≤3
Mrs. Taylor will check your graph!
Simplify: 5(2x-2)+5x2+x
5x2+11x-10
Anika makes beaded bracelets for the community craft fair. The total time it takes her in minutes, m, to string, b , beads is equal to 12 times m. Make a table of values to find the number of minutes it will take Anika to string 48, 78, and 96 beads.
It will take her 4 minutes to string 48 beads, 6.5 minutes to string 78 beads, and 8 minutes to string 96 beads.