A mathematical sentence that shows that two expressions are equal
Equation
Describe the error
Divided instead of multiplied
7x = 105
15
1, 2, 3, 4, 6, 9, 12, 18, 36
What types of math operations are terms separated by?
Addition and Subtraction
Numbers that have the same variables with the same exponents
Like Terms
The area of the courtyard is 2730 square feet. This is the length of the sidewalk.
42
22 - 1.5 = x - 17.1
37.6
What is the GCF of 24 and 60?
Why does "factoring" refer to division?
Because the factors of a product are the numbers that it is divisible by.
Doing the opposite math of what is shown in order to solve an equation
Inverse Operation
Write and solve the equation

2x + 2 = 12
x = 5
x/2 + 1 = -7
x = -16
Factor out the GCF and rewrite the expression
8x + 2
2(4x + 1)
Why does 3 + x not equal 3x?
3x is multiplication, 3 + x is addition.
They can't be both true at the same time.
The math operation that you would use to solve an equation or inequality that had the quotient of a variable and a constant
Multiplication
Write and solve the equation that represents how much more money you need to spend to receive free shipping if you've already spent $24
x + 24 = 75
x = 51
8x + 2x = 2x + 40
5
Factor out the GCF and rewrite the expression
-1/2x + 6
-1/2(x - 12)
Explain why you can solve 2x = 20 by multiplying each side by the reciprocal of 2
Multiplying by 1/2 is the the same thing as dividing by 2
The number that multiplies a variable
Coefficient
If the area is 24, what is the perimeter?
20
|x + 5| = 18
x = 13 or -23
A square wrestling mat has a perimeter of (12x - 32) feet. What expression represents a side length of the mat?
3x - 8
Explain why multiplying a negative by a negative equals a positive.
Use the distributive property in your answer.
3 + -3 has to equal 0
-5(3 + -3) has to equal the same as -5(0)
Because -5 times 3 equals -15
-5 times -3 has to equal 0