Solving Equations with Distributing and Combining Like Terms
Flashcard
•
Mathematics
•
7th - 8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of distributing in algebra?
Back
Distributing involves multiplying a single term by each term inside a set of parentheses. For example, in 3(2x + 4), you would multiply 3 by 2x and 3 by 4, resulting in 6x + 12.
Tags
CCSS.6.EE.A.3
2.
FLASHCARD QUESTION
Front
What are like terms in algebra?
Back
Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.
Tags
CCSS.6.EE.A.2B
3.
FLASHCARD QUESTION
Front
How do you combine like terms?
Back
To combine like terms, you add or subtract the coefficients of the terms that are alike. For example, 2x + 3x = 5x.
Tags
CCSS.7.EE.A.1
4.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 7x - 4x = 27?
Back
The first step is to combine like terms on the left side: 7x - 4x = 3x, so the equation becomes 3x = 27.
Tags
CCSS.7.EE.B.4A
5.
FLASHCARD QUESTION
Front
What is the solution to the equation 6 - 3a = 21?
Back
To solve for a, first subtract 6 from both sides to get -3a = 15, then divide by -3 to find a = -5.
Tags
CCSS.7.EE.B.4A
6.
FLASHCARD QUESTION
Front
How do you solve the equation 7(4x + 3) + 5 = -58?
Back
First, distribute 7: 28x + 21 + 5 = -58. Then combine like terms: 28x + 26 = -58. Subtract 26 from both sides to get 28x = -84, and divide by 28 to find x = -3.
Tags
CCSS.8.EE.C.7B
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 6x - 5 + 7x = 34?
Back
Combine like terms: 6x + 7x = 13x, so the equation becomes 13x - 5 = 34. Add 5 to both sides to get 13x = 39, then divide by 13 to find x = 3.
Tags
CCSS.8.EE.C.7B
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