Vocabulary
Angle Relationships
Two Step Equations Vocab
Two Step Equation Practice
Multi-Step Equations Steps
Multi-Step Equations
Algebra and Transversals
100
This word refers to angles being Inside a shape or Inside parallel Lines
Interior
100
According to Triangle Sum Theorem, the three angles inside a triangle always add up to what?
180
100
What we call the number next to the Variable in a Two Step Equation. In the example below it would be the 4
4x - 9 = 11
Coefficient
100
The First Step in Solving the following Two Step Equation
8x + 19 = 99
Subtract 19 on BOTH SIDES (remove the constant by doing the Opposite Operation)
8x = 80
100
The First Step of Multi-Step Equations is to check for this
Distribution
100
After Step 1: Distribution, What is the new equation for the following
8(x-7)=3x+4
8x-56=3x+4
100
If two vertical angles are expressed as 4x and 7x−18, set up the equation to solve for x. (Given Vertical Angles are Congruent)
What is 4x = 7x - 18
200
This word refers to angles outside the shape or outside the parallel lines
What is Exterior
200
Angles 1 and 8 are This Relationship
Alternate Exterior Angles/congruent
200
What we call the number WITHOUT a variable attached. its the -9 below.
4x - 9 = 11
Constant
200
After the First Step. It's the Second Step to solve the Two Step Equation
8x = 80
Divide both sides by 8
x = 10
200
Which of the following shows the correct way to distribute?
4 + (x - 7) = 4x - 28
4(x - 8) = 4x - 32
4 - (x + 9) = -4x + 13
4(x + 10) = 4x + 10
4(x-8) = 4x-32
200
After Step 2: Simplifying both side, what is the new equation
5x+2x-9=28-4x+3
7x-9=31-4x
200
For angles 5x+2 and 87 in the same position on two parallel lines crossed by a transversal, find x.
What is 17?
300
This word refers to angles on Opposite sides of the transversal and parallel lines
Alternate
300
Angles 3 and 5 are this relationship
Same Side Interior/Supplementary
300
Its what separates the equation into two sides
Equal Sign
300
Solves the following two step Equation for x
4x - 27 = 73
x = 25
300
The Second Step of Multi-Step Equations is to check for what?
Simplifying on both sides
300
After Step 3: Isolating the Variable, What is the new equation
9x + 9=4x - 5
5x + 9 = -5
OR
9=-5x-5
300
Given x+20 and 3x−40 are alternate interior angles, calculate x. (First Determine are they Congruent or Supplementary)
What is 30°?
400
This word is the geometry way of stating two things are equal
Congruent
400
Angles 2 and 6 are these type of angles
Corresponding Angles/Congruent
400
The First Step in a Two-Step Equation is to do this, as shown in this example.
Remove the Constant with Opposite Operations ON BOTH SIDES
400
Solves the following two step equation for x
7x - 24.7 = 83.8
x=15.5
400
Which of the following is the correct Simplification of 4x + 3 - 5x = 79 + 3x - 1
4x + 3 - 5x = 78 + 3x
-1x + 3 = 78 + 3x
9x + 3 = 80 + 3x
2x + 81 = 0
-1x + 3 = 78 + 3x
400
After Step 4 (Step 1 of the two-step equation), What is the new equation
-7x + 14 = 21
-7x = 7
400
The measure of angle 1 is 4x and angle 8 is 2x+40 Find the value of x. First Determine if they are Congruent or Supplementary
What is 20?
500
This word means that the angles will add up to 180 degrees
Supplementary
500
According to Exterior Angle Theorem, What is our missing angle? (Use your Book)
What is 130?
500
It's the second step of the two step equation, shown in the example below.
Diving BOTH SIDES by the COEFFICIENT
500
Solve the following two step equation for x
2/3x+13=43
x=45
500
The Third Step in our Multistep Equations is to do what?
Isolate the Variable (Get the Variable to one side)
500
After Step 5 (2nd step of the two-step equation), what is the equation.
12x = 96
x = 8
500
If Same Side interior angles formed by a transversal are 2x+10 and 3x−5 , write and solve for x.
What is 35?