Multi-Step Equations
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multi-step equation?
Back
A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.
Tags
CCSS.8.EE.C.7B
2.
FLASHCARD QUESTION
Front
How do you solve the equation 8v - 4(v + 8) = 8?
Back
First, distribute -4 to (v + 8) to get 8v - 4v - 32 = 8. Then combine like terms: 4v - 32 = 8. Add 32 to both sides: 4v = 40. Finally, divide by 4 to find v = 10.
Tags
CCSS.8.EE.C.7B
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 3x + 2(4x - 4) = 3?
Back
The first step is to distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.
Tags
CCSS.8.EE.C.7B
4.
FLASHCARD QUESTION
Front
What is the solution to the equation -(n - 8) = -2?
Back
To solve, first distribute the negative sign: -n + 8 = -2. Then, subtract 8 from both sides: -n = -10. Finally, multiply by -1 to find n = 10.
Tags
CCSS.7.EE.B.4A
5.
FLASHCARD QUESTION
Front
How do you isolate a variable in a multi-step equation?
Back
To isolate a variable, perform inverse operations in the reverse order of operations: start with addition/subtraction, then multiplication/division.
Tags
CCSS.7.EE.B.4A
6.
FLASHCARD QUESTION
Front
What does it mean to combine like terms in an equation?
Back
Combining like terms means to add or subtract terms that have the same variable raised to the same power to simplify the equation.
Tags
CCSS.7.EE.A.1
7.
FLASHCARD QUESTION
Front
What is the solution to the equation -19 = -8(-4 + a) - (2a + 1)?
Back
First, distribute: -19 = 32 - 8a - 2a - 1. Combine like terms: -19 = 31 - 10a. Subtract 31 from both sides: -50 = -10a. Finally, divide by -10 to find a = 5.
Tags
CCSS.8.EE.C.7B
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