Vocabulary
Give an example of a variable
Any letter is correct
What is the outside term in 3(x -4)?
3
Which term in this expression could be combined with 3x?
2x + 9y -10 - 8c
2x
What do you undo first?
3x - 4 = 8
-4
What would you do first to solve this?
3(3x + 4) - 9 = 30
Distribute the 3 to the 3x and the +4 to get 9x + 12.
What is the coefficient in 3x?
3
Which operation do you perform when using the Distributive Property?
Multiplication
What does the word combine mean?
to add together
What operation would you use to UNDO 3x
division
Solve:
3x + 5x + 9 = 33
x= 3
Give an example of a constant
Any number
Distribute:
3(x + 4)
3x + 12
Combine 2y and 10y
12y
Solve:
4y + 10 = 26
y = 4
Name one (of several) specific steps that you need to do when solving multistep equations.
1. Distribute what's outside parentheses to what's inside.
2. Combine like terms.
3. Use inverse operations to 'cancel out' variables, constants, and coefficients.
What is the variable in 3x
x
Distribute: 3(x - 4)
3x - 12
Name a pair of like terms in the expression below.
3x - y +12 - 10y + 4x -2
3x and 4x OR -y and -10y OR 12 and -2
Which operation would you undo second, when trying to solve this for x?
5x - 10 = 10
multiplication (division to undo it)
What is the goal of solving a multistep (or any) equation?
To isolate the variable/find a solution that makes the equation true.
What is the invisible operation in the term 4x?
Multiplication
Distribute:
-2(4x + 3)
-8x - 6
Combine:
3x + 12 - 4x + 6
-1x + 18
Solve:
-3x + 4 = 10
x = -2
Solve:
4x - 4 = 2x + 4
x = 4