

Substitution Practice Step By Step
Presentation
•
Mathematics
•
9th - 11th Grade
•
Hard
Sarah Harman
Used 3+ times
FREE Resource
3 Slides • 14 Questions
1
Substitution Practice Step By Step

2
Write this problem on paper or a whiteboard
We will go through each individual step in the following questions all together
3
Multiple Choice
Step 1: Rewrite one of the equations that has a variable with no number in front of it as x= or y=
y=−3x−1
y=3x−1
y=34x+45
x=31y+31
4
Multiple Choice
Step 2: Substitute the right half of the equation you just found in place of that variable of the other equation (y=3x−1)
6x−8y(3x−1)=−10
6(3x−1)−8y=−10
6x−8(3x−1)=−10
6x−8(3x−1)
5
Multiple Choice
6x−8(3x−1)=−10 Step 3: Distribute
6x−24x+8=−10
−6x+2=−10
6x−24+8=−10
6x+24x−8=−10
6
Multiple Choice
6x−24x+8=−10
Step 4: Combine Like Terms
30x=−18
18x+8=−10
−30x=−2
−18x+8=−10
7
Multiple Choice
−18x+8=−10
Step 5: Solve for x
−18x=−18, x=1
−18x=−18, x=−1
−18x=−2, x=182
−18x==18, x=0
8
Multiple Choice
Step 6: Plug your answer back into an original equation. Any equation is correct, but one is the easiest. Choose the easiest here. x=1
6(1)−8y=−10, y=2
−3(1)+y=−1, y=2
y=3(1)−1, y=2
y=3x(1)−1, y=2x
9
Poll
How did you feel about that?
Great!
It helped me figure out the steps
I don't get it
Please help me!
Oh look a squirrel!
10
Write down this problem on whiteboard/paper
We are going to do it step by step together again. Write down each step on your paper as we go. Correct any of the mistakes you make.
11
Multiple Choice
Step 1: Rewrite one of the equations that has a variable with no number in front of it as x= or y=
y=−41x−411
y=76x+74
x=4y−11
x=−4y−11
12
Multiple Choice
x=−4y−11
Step 2: Substitute the right half of the equation you just found in place of that variable of the other equation
−6(−4y−11)+7y=4
−6x+7(−4y−11)=4
−6x(−4y−11)+7y=4
−6(−4y−11)=4
13
Multiple Choice
−6(−4y−11)+7y=4
Step 3: Distribute
24y+66+7y=4
−24y−66+7y=4
−10y−17+7y=4
−4y−66+7y=4
14
Multiple Choice
24y+66+7y=4
Step 4: Combine Like Terms
17x+66=4
31y=70
31y=62
31y+66=4
15
Multiple Choice
31y+66=4
Step 5: Solve for y
31y=−62, y=−2
31y=−62, y=2
31y=−62, y=−21
31y=−70. y=31−70
16
Multiple Choice
Step 6: Plug your answer back into an original equation. Any equation is correct, but one is the easiest. Choose the easiest here. y=-2
−6x+7(−2)=4, x=−3
x+4(−2)=−11, x=−3
x=−4(−2)−11, y=−3
x=−4y(−2)−11, x=−3y
17
Poll
How did you feel about that?
We good
It helped me figure out the steps
I don't get it
Please help me!
Is ice a rock?
Substitution Practice Step By Step

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