Generating Equivalent Expressions
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
Abby Kaiser
FREE Resource
Student preview
17 questions
Show all answers
1.
FLASHCARD QUESTION
Front
2 (x + 4)
Back
2x + 8
Answer explanation
To simplify 2(x + 4), distribute 2 to both terms inside the parentheses: 2*x + 2*4 = 2x + 8. Thus, the correct answer is 2x + 8.
2.
FLASHCARD QUESTION
Front
-3 (a + 3)
Back
-3a - 9
Answer explanation
To simplify -3(a + 3), distribute -3: -3 * a = -3a and -3 * 3 = -9. Combining these gives -3a - 9, which matches the correct answer.
3.
FLASHCARD QUESTION
Front
Factor out the GCF: 3x+15
Back
3(x+5)
Answer explanation
To factor out the GCF from 3x + 15, identify the common factor, which is 3. Dividing both terms by 3 gives us 3(x + 5). Thus, the correct answer is 3(x + 5).
4.
FLASHCARD QUESTION
Front
(2x + 3) + (x + 5)
Back
3x + 8
Answer explanation
To add the expressions (2x + 3) + (x + 5), combine like terms: 2x + x = 3x and 3 + 5 = 8. Thus, the result is 3x + 8, which is the correct answer.
5.
FLASHCARD QUESTION
Front
(5x + 3) - (2x - 5)
Back
3x + 8
Answer explanation
To solve (5x + 3) - (2x - 5), distribute the negative: 5x + 3 - 2x + 5. Combine like terms: (5x - 2x) + (3 + 5) = 3x + 8. Thus, the correct answer is 3x + 8.
6.
FLASHCARD QUESTION
Front
Simplify the expression: 4(x - 2) + 3(x + 1)
Back
7x - 5
Answer explanation
Distribute: 4(x - 2) = 4x - 8 and 3(x + 1) = 3x + 3. Combine like terms: 4x + 3x - 8 + 3 = 7x - 5. Thus, the simplified expression is 7x - 5.
7.
FLASHCARD QUESTION
Front
Factor out the GCF: 6x + 18
Back
6(x + 3)
Answer explanation
To factor out the GCF of 6x + 18, identify the largest common factor, which is 6. Dividing both terms by 6 gives 6(x + 3). Thus, the correct answer is 6(x + 3).
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