Substitution Method - Step by Step
Authored by Richard Crompton
Mathematics
8th Grade
CCSS covered
Used 4+ times
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12 questions
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1.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
Solve this equation
4x + 6(2) = 36
(a)
Answer explanation
4x + 6(2) = 36
4x + 12 = 36
Subtract 12 from both sides
4x = 24
Divide both sides by 4
x = 6
Tags
CCSS.7.EE.B.4A
2.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
Solve this equation
10(2) + 5y = 35
(a)
Answer explanation
10(2) + 5y = 35
20 + 5y = 35
Subtract 20 from both sides
5y = 15
Divide both sides by 5
y = 3
Tags
CCSS.7.EE.B.4A
3.
FILL IN THE BLANKS QUESTION
2 mins • 1 pt
Solve the following equation
3x + 4(x + 3) = 47
(a)
Answer explanation
3x + 4(x + 3) = 47
Distribute first
3x + 4x + 12 = 47
Combine like terms
7x + 12 = 47
Subtract 12 from both sides
7x = 35
Divide both sides by 7
x=5
Tags
CCSS.8.EE.C.7B
4.
LABELLING QUESTION
1 min • 1 pt
Place the correct numbers in the boxes.
6
30
21
1
Tags
CCSS.7.EE.B.4A
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What does it mean to substitute?
To graph and find the intersection
To replace the value of a variable with an equivalent expression
To solve an equation
To substitute an answer with another answer
Tags
CCSS.6.EE.A.2C
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which of the following shows a correct substitution for the following system?
x = 4 and -3x + 6y = 18
-34 + 6y = 18
-3(4) + 6(4) = 18
-3x + 6(4) = 18
-3(4) + 6y = 18
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
After substitution, what solution did you find?
-3(4) + 6y = 18
y = 1
y = 5
x = 1
x = 5
Answer explanation
-3(4) + 6y = 18
-12 + 6y = 18
+12 +12
6y = 30
6 6
y=5
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