Illustrative Mathematics Algebra I Unit 6

Which equation could be used to find the number (n) for the expression, 5 less than n is equal to 16?

• 16 - 5 = n

• 16 - n = 5

• 5 - n = 16

• n - 5 = 16

What is the value of b in the equation: 34 + b = 85

• 51

• 119

• 15

• 34

If x = 9 and y = 4, which expression has the greatest value?

• (x - y) + 8

• (x ∙y) - 20

• (x + y) + 4

• (x - y) ∙ 2

Four students were asked to factor the expression 45x - 15. Here are there responses:

Kate = 5 ( 9x - 3)

Eli= 45 ( x - 15)

Jan = 15 ( 3x - 1)

Robert = x (45 - 15)

Which two students are correct?

• Eli and Robert

• Kate and Jan

• Jan and Eli

• Robert and Kate

Which expression is equivalent to 5⁴?

• 125

• 3,125

• 625

• 20

Which equation represents the Distributive Property of Multiplication?

• 9 x ( 3 + 4) = (4 + 3) x 9

• 5 x (3 + 10) = 5 x 3 + 5 x 10

• 5 x 4 = 4 x 5

• 8 x 1 = 8

Which correctly illustrates the Distributive Property of Multiplication to find the product of 54 ∙ 8?

• (50 ∙ 8) ∙ 4

• (50 + 8) ∙ (4 + 8)

• (50 ∙ 8) + (4 ∙ 8)

• ( 50 ∙ 8) ∙ ( 4 ∙ 8)

Smith House Painting charges $75 to drop off painting supplies and $50 per hour (x) to paint a house. Which expressions shows how much it will cost to get a house painted?

• 75 + 50

• x ∙ (50 + 75)

• 75 + (50 ∙ x)

• 50 + (75 ∙ x)

Jack wants to simplify the expression 9 + (10 - 2) -3² . Which is equivalent to his expression?

• 8

• 12

• 11

• 9

Andrea earned $18 for mowing the yard on Saturday. She had x amount of money before she mowed the yard. Which expression represents how much money she has now?

• 18 = x

• x + 18

• 18 - x

• x ∙ 18