Intro Two Step Equations
Authored by Anthony Clark
Mathematics
7th Grade
CCSS covered
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14 questions
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1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Simplify the equation. Solve for x
2x + 3x - 5 + 7 = 10x + 3 - 6x - 4
Answer explanation
First we simplify both sides of the equation.
2x + 3x - 5 + 7 = 10x + 3 - 6x - 4 Original problem
2x + 3x - 5 + 7 = 10x + 3 - 6x - 4
5x + 2 = 4x - 1 Combine like terms on each side of the equation
Next we want all terms with a variable one one side of the equation and all numbers on the other side.
5x - 4x + 2 = 4x - 1 - 4x Subtract 4x from both sides
x + 2 - 2 = - 1 - 2 Subtract 2 from both sides to get x alone
x = - 3 Combine like terms
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Simplify the equation. Solve for x.
6(2x - 1) - (11x +6) = 7
Answer explanation
Use the distributive property
6(2x) + 6(- 1) - 1(11x) - 1(6) = 7 Apply the distributive property (multiply)
12x - 6 - 11x - 6 = 7
x - 12 = 7 Combine like terms
x - 12 + 12 = 7 + 12 Add 12 to both sides
x = 19 Simplify
Tags
CCSS.8.EE.C.7B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Step 1: Add 45
Step 2: Multiply by 5
Step 1: Subtract 3
Step 2: Divide by 5
Step 1: Subtract 3
Step 2: Multiply by 5
Step 1: Multiply by 5
Step 2: Subtract 3
Tags
CCSS.HSA.REI.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Step 1: Divide by 9
Step 2: Add 8
Step 1: Divide by -9
Step 2: Add 8
Step 1: Add 8
Step 2: Divide by 3
Step 1: Add 8
Step 2: Divide by -9
Tags
CCSS.7.EE.B.4A
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Step 1: Subtract 20
Step 2: Multiply by 7
Step 1: Multiply by 7
Step 2: Add 4
Step 1: Multiply by 7
Step 2: Subtract 20
Tags
CCSS.HSA.REI.A.1
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
In this equation, which numbers do you need to get rid of in order to isolate the variable?
2
9
15
p
Tags
CCSS.7.EE.B.4A
7.
MULTIPLE SELECT QUESTION
1 min • 1 pt
What operation will "undo" the 2 in this equation?
Adding
Subtracting
Multiplying
Dividing
Tags
CCSS.HSA.REI.A.1
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