multi step equations

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+3
Standards-aligned
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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 solve. It often involves combining like terms, using the distributive property, and isolating the variable.
Tags
CCSS.8.EE.C.7B
2.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 2x - 3 + 4x = 27?
Back
Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27.
Tags
CCSS.8.EE.C.7B
3.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation 7k − 1 − 6k = −6?
Back
Combine like terms: 7k - 6k = k, so the equation becomes k - 1 = -6. Then add 1 to both sides to get k = -5.
Tags
CCSS.7.EE.B.4A
4.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.
Tags
CCSS.6.EE.A.3
5.
FLASHCARD QUESTION
Front
Solve the equation 8v - 4(v + 8) = 8.
Back
First, distribute: 8v - 4v - 32 = 8. Combine like terms: 4v - 32 = 8. Then add 32 to both sides: 4v = 40, so v = 10.
Tags
CCSS.8.EE.C.7B
6.
FLASHCARD QUESTION
Front
What does it mean to combine like terms?
Back
Combining like terms means to add or subtract terms that have the same variable raised to the same power.
Tags
CCSS.7.EE.A.1
7.
FLASHCARD QUESTION
Front
How do you solve the equation 2x + 3(5x - 7) = 47?
Back
Distribute: 2x + 15x - 21 = 47. Combine like terms: 17x - 21 = 47. Add 21 to both sides: 17x = 68, so x = 4.
Tags
CCSS.8.EE.C.7B
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