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Math  /  Algebra

QuestionApply the Distributive Property to determine the missing number.
7. 3(4+5)=3⋅4+33(4+5)=3 \cdot 4+3. \qquad 8. 5(7−9)=5(7)−5(7-9)=5(7)- \qquad (9)
9. −4(8+y)=−4(-4(8+y)=-4( \qquad ) −4y-4 y
10. −7(x−6)=-7(x-6)= \qquad (x)−(x)- \qquad
11. 5(37)=5⋅30+55(37)=5 \cdot 30+5. \qquad 12. 5(37)=5⋅40−55(37)=5 \cdot 40-5. \qquad Which expression(s) are not equivalent to the given expression?
13. 3(x+4)3(x+4)
14. −4(3+5)-4(3+5) A. 3⋅x+3⋅43 \cdot x+3 \cdot 4 A. −4(3)+(−4)5-4(3)+(-4) 5 B. 3x+43 x+4 B. −12+(−20)-12+(-20) C. 3x+123 x+12 C. −4(3)−(−4)5-4(3)-(-4) 5 D. 3x+73 x+7 D. -32
Jse the Distributive Property to write an equivalent expression.
15. 4(x−2)4(x-2)
16. 3(a+7)3(a+7)
17. −5(b+9)-5(b+9)
18. −8(m−4)-8(m-4)
19. 2(10−2)2(10-2)
20. −3(20+3)-3(20+3) Exercises

Studdy Solution
Use the Distributive Property to write equivalent expressions:
15. 4(x−2)=4x−8 4(x-2) = 4x - 8
16. 3(a+7)=3a+21 3(a+7) = 3a + 21
17. −5(b+9)=−5b−45 -5(b+9) = -5b - 45
18. −8(m−4)=−8m+32 -8(m-4) = -8m + 32
19. 2(10−2)=20−4=16 2(10-2) = 20 - 4 = 16
20. −3(20+3)=−60−9=−69 -3(20+3) = -60 - 9 = -69

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