Lesson 18: Subtraction in Equivalent Expressions | Unit 6: Expressions, Equations, and Inequalities

Multiple Choice

For the expression $$20-9+8-7$$ , which of the following is an equivalent expression that uses only addition?

• 20 + (-9) + 8 + (-7)
• 20 - 9 + 8 + 7
• 20 + 9 - 8 - 7
• 20 + 9 + 8 - 7

Multiple Choice

For the expression $$4x-7y-5z+6$$ , which of the following is an equivalent expression that uses only addition?

• -4x + 7y + 5z - 6
• 4x - 7y - 5z + 6
• 4x + 7y + 5z + 6
• 4x + (-7y) + (-5z) + 6

Multiple Choice

For the expression $$-3x-8y-4-\frac87z$$ , which of the following is an equivalent expression that uses only addition?

• -1(3x + 8y + 4 - rac{8}{7}z)
• -1(3x + 8y + 4 + \frac{8}{7}z)
• -3(x + 8y + 4 + rac{8}{7}z)
• -1(3x + 8y + 4 + 7z)

Multiple Choice

Use the distributive property to write an expression that is equivalent to $$9(4x-3y-\frac23)$$ .

• 36x - 27y - 6
• 36x - 27y - 3
• 9(4x) - 9(3y) - 3
• 36x - 27y + 6

Multiple Choice

Use the distributive property to write an expression that is equivalent to $$-2(-6x+3y-1)$$ .

• -12x + 6y - 2
• -12x + 6y + 2
• 12x + 6y - 2
• 12x - 6y + 2

Multiple Choice

Use the distributive property to write an expression that is equivalent to $$\frac15(20y-4x-13)$$ .

• rac{1}{5}(20y-4x-10)
• 4y - 4x - 13
• 4y - \frac{4}{5}x - \frac{13}{5}
• rac{1}{5}(20y-4x+13)

Multiple Choice

Use the distributive property to write an expression that is equivalent to $$8(-x-\frac12)$$ . If you get stuck, consider drawing boxes to help organize your work.

• 8x + 4
• -8x + 4
• -4x - 8
• -8x - 4

Multiple Choice

Use the distributive property to write an expression that is equivalent to $$-8(-x-\frac34y+\frac72)$$ .

• -8x + 6y - 28
• 8x + 6y - 28
• -8x - 6y + 28
• 8x - 6y + 28

Multiple Choice

Kiran wrote the expression $$x-10$$ to represent this number puzzle: “Pick a number, add -2, and multiply by 5.” Lin thinks Kiran made a mistake. What is the correct expression?

• 5 * x - 10
• 5 * (x + 2)
• 5 * (x - 2)
• (x - 10) * 5

Multiple Choice

Kiran wrote the expression $$x-10$$ to represent this number puzzle: “Pick a number, add -2, and multiply by 5.” What would be a correct expression for this number puzzle?

• (x - 10) * 5
• 5 * (x - 2)
• 5 * (x + 2)
• 5 * x - 10