Title: Math 7 Simplify with Distributive Property
Course: quiz duplicate error

Q: Multiply.

4(y - 4)
- 4y - 16 (correct)
- 4y - 8 (You need to multiply 4*4)
- y - 16 (You need to multiply the 4 times the y as well.)
- 4y - 4 (You need to multiply the 4 times the 4 as well.)
A: 4y - 16

Q: Multiply.

-7(2a + 3)
- -35a (Incorrect. Don't add a's and ones together.)
- -14a - 21 (correct)
- -14a + 3 (Incorrect. You need to multiply the -7 to the 3 as well.)
- -14a + 21 (Incorrect. It was a -7 you were multiplying by.)
A: -14a - 21

Q: Multiply.

9(10x)
- 90 + x (incorrect)
- 90 + 9x (incorrect)
- 19x (incorrect)
- 90x (correct)
A: 90x

Q: Multiply.

6(3x + 4)
- 18x + 24 (correct)
- 9x + 10 (incorrect)
- 9x + 24 (incorrect)
- 42x (The 3x and 4 are added, not multiplied.)
A: 18x + 24

Q: Simplify: -(x + 6)
- -x – 6
- -x + 6 (You need to distribute the negative to the 6 as well. You could multiply both by -1 instead if you like.)
- -6x (You cannot combine x's and constants.)
- -7x (You cannot combine x's and constants.)
A: -x – 6

Q: Simplify: -3(x – 2)
- -3x – 2 (You need to multiply the 2 by -3 as well.)
- -3x + 2 (You need to multiply the 2 by -3 as well.)
- -3x – 6 (Careful! You have a subtract and a multiply by a negative.)
- -3x + 6
A: -3x + 6

Q: Multiply.

7(6 + 2s)
- 42 + 84s (incorrect)
- 42 + 14s (correct)
- 42 + 2s (You need to multiply both the 6 and the 2s by 7.)
- 6 + 14s (You need to multiply both the 6 and the 2s by 7.)
A: 42 + 14s

Q: Simplify:  2(3 – x)
- 6 – x (You need to multiply the x by 2 also.)
- 6 + x (You need to multiply the x by 2 also, and keep the subtraction sign.)
- 6 – 2x
- -6x (The 3 and x were subtracted, not multiplied.)
A: 6 – 2x

Q: Simplify: -2(5 – 3x)
- -10 – 3x (You need to multiply the 3x by -2 as well.)
- -10 + 3x (You need to multiply the 3x by -2 as well.)
- -10 – 6x (Careful! You have a subtract and a multiply by a negative.)
- -10 + 6x
A: -10 + 6x

Q: Multiply.

-3(13z)
- 13z - 3 (incorrect)
- -313 - 3z (incorrect)
- 10z (incorrect)
- -39z (correct)
A: -39z

Q: Simplify: -10(-2x – 7)
- -20x – 70 (You multiplied by +10 when you needed to multiply by -10.)
- -20x + 70 (-10 times -2x should be +20x.)
- 20x – 70 (There is a subtract and a multiply by a negative!)
- 20x + 70
A: 20x + 70

Q: Simplify: -(4x – 1)
- -4x – 1 (Change the subtract to add -1 so you don't have a problem with multiplying by a negative.)
- -4x + 1
- -4x (You need to change the subtract to add -1 and multiply the -1 by the negative as well.)
- 4x (Multiply both the 4x and the -1 by the negative.)
A: -4x + 1

Q: Simplify: -2(-5x + 40)
- 10x – 80
- -10x + 80 (The -5x was multiplied by -2.)
- -10x – 80 (-5x(-2) = +10x)
- 10x + 40 (40 was multiplied by -2)
A: 10x – 80

Q: Multiply.

2(6x + 9y + 5)
- 12x + 18y + 5 (incorrect)
- 12x + 9y + 10 (incorrect)
- 12x + 18y + 10 (correct)
- 12x + 9y + 5 (incorrect)
A: 12x + 18y + 10

Q: Use the distributive property to simplify the expression.

-(-5v - 5r)
- 5v + 5r (correct)
- 5v - 5r (Change the subtract to add a negative so you can see that you are multiplying a negative times a negative.)
- -5v + 5r (You need to multiply both by -1.)
- -5v - 5r (You need to multiply both by -1.)
A: 5v + 5r

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