A _____ represents an unknown amount/quantity or value.
A variable represents an unknown amount/quantity or value.
-5x + 9x -15 = 1
4
x - 14 - 2x = 4
-18
3(2x - 9) = 3
x = 5
Mia won 77 pieces of gum playing hoops at her school's game night. Later, she gave 3 to each of her friends. She only has 5 remaining. How many friends does Mia have?
24 friends
___ ___ have the same variable or exponent. We combine these together
like terms
- 2x - 10 + 4p = 14
12
5x - 2x - 31 = 11
14
3x + 4 + x + 2 = -30
x = -9
Devin paid $30 to be a part of the Fox Lake Gym. When he takes the boxing class, it costs him $2. Jared is not a member of the gym, so it costs him $5 for the same class. How many classes would it take for Devin and Jared's totals to be equal?
10 classes
Define combining like terms
adding or subtracting terms that have the same variable
2( n + 5) = -2
-6
4a + 5 - 8a = 25
-5
2 +9(x-1) = 2
x = 1
A wise woman once said "400 reduced by twice my age is 262." What is her age?
69 years old
What is the first thing to do when solving multi-step equations with parentheses ( ) ?
The Distributive Property is the first step to follow when solving multi-step equations
6x - (3x + 8) = 16
8
3x + 4 - 2x - 10x =31
-3
2(x + 3) + 1 = 31
x = 12
For a field trip, 11 students rode in cars and the rest filled 8 buses. How many students were in each bus if there were a total of 315 students?
38 students
The five steps to solving multi-equations are 1. ___ 2. ___ 3.____ 4._____ 5.______
The four steps to solving multi-equations are 1. Distribute 2. Combine Like Terms 3. Move the variables to one side 4. Inverse any addition/subtraction 5. Inverse any multiplication/division
4(2x -7) + 5 = -39
-2
3x + 12x - 20 = 25
3
2x - 1 +2(x - 1) = - 7
x = -1
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