Factoring
Simplifying Expressions
Solving Equations
Inequalities
Vocabulary
100
Find the GCF of 21 and 49
7
100
What are the constants in the following expression?
2x -7 + 4y - 3x + 8
-7 and 8
100
Solve for a:
a + 10 = -10
a = -20
100
Define each of the following symbols:
\lt \le = \gt \ge
Less than, less than or equal to, equal to, greater than, greater than or equal to.
100
What is a mathemtical "placeholder" that may be assigned any value?
Variable
200
Find the GCF of 4x and 16xy.
4x
200
Simplify:
11x - 4 + 22x + 5
33x + 1
200
Solve for y:
1/2 y + 52 = 52
y = 0
200
Graph the inequality on a number line:
x \le 3
200
What is a mathematical value that never changes?
Constant
300
Find the GCF:
8b - 6b + 10b
2b
300
Simplify:
14x - 7y + xy - 9y + 10xy
14x - 16y + 11xy
300
What are the steps to solving a multi-step equation?
1. Distribute
2. Combine Like Terms
3. Inverse of Addition or Subtraction
4. Inverse of Multiplication or Division
(DCII)
300
Write an inequality to represent the graph:
x \gt -1
300
Give an example of "subtract by" and "subtract from"
subtract 4 by 2: 4 - 2
subtract 3 from 6: 6 - 3
400
Factor:
12w + 18g
6(2w + 3g)
400
Why do we have to use the distributive property first when simplifying the expression 4x + 3(2x - 1)?
We must perform multiplication (the distribute property) before we can add (combine like terms).
400
Solve for x:
4x - (-5x + 18) + 3 = -10.5
x = 1/2
400
Solve and graph the following inequality:
4x - (-10) \ge 18
x \ge 2
400
Define:
Coefficient
A constant placed before a variable. The constant and the variable are being multiplied.
ex.
3x
500
Amanda has 12 jolly ranchers, Albert has 27 jolly ranchers, and Sean has 15 jolly ranchers. What is the largest number of jolly ranchers that they could use to make equal number piles? (each pile must have the same number of jolly ranchers)
3 jolly ranchers in each pile.
500
Find the perimeter of the triangle:
5x + 4y + 3
500
Morgan sells cat toys for (3x - 5) dollars each. If she sold 15 cat toys for $170.25, find the value of x.
(hint: you must write an equation)
x = 5.45
500
Rebecca has $78 and wants to buy candy bars for her birthday party. If candy bars cost $3.25, what is the maximum amount of candy bars that she can buy? (write and solve an inequality).
3.25x \le 78
x \le 24
Rebecca can buy at most 24 candy bars.
500
Define:
Like Terms
Terms that have the same variable and exponent. Constants are also like terms with constants.