Parts of an Expression, Equation, or Inequality

1.Which expressions represent rational numbers? Select all that apply.

• (√49) + (√24)²

• (√7)² + (√27)³

• (√9)² + (√24)²

• (√27)² + (√4)³

• (√9/25)^.5 + (√0.56)

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.B.3

The graph represents the change in distance traveled by a moving car over a period of time within a single minute.

Which unit would be appropriate for the rate of change in the graph?

• meters/minutes

• meters/seconds

• seconds/meters

• minutes/meters

Tags

CCSS.HSS.ID.C.7

Rachel biked 5 miles to the park. At the park, she ran 7 miles every hour for x hours.

Which equation models the total distance she biked and ran in miles, y, for x hours of running?

• y = 5x + 7

• y = 5x - 7

• y = 7x + 5

• y = 7x - 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Stanley's total distance traveled includes the 8 miles driven to the park where he is going for a walk, as well as 3 miles for every hour of walking. Which equation models the distance traveled in miles, y, for x hours of walking?

• y = 3x - 8

• y = 8x - 3

• y = 3x - 8

• y = 3x + 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Jerry is preparing to donate 156 books to a local charity. He is packing the books into boxes that can hold a maximum of 15 books each.

Which inequality could be used to determine how many boxes, b, will be required to transport all of the books?

• 156/b ≥ 15

• b/156 ≥ 15

• 156/b ≤ 15

• b/156 ≤ 15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

A certain rectangle has area = 60 ft², length = p/2 ft, and width = 2p − 8 ft.

What is the length of the rectangle?

• The length is 5 feet.

• The length is 6 feet.

• The length is 10 feet.

• The length is 12 feet.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Isaac attempted to solve the equation 5b + 8 = 3(b - 4) .

His work is shown below.

Step 1: 5b + 8 = 3b - 12

Step 2: 2b + 8 = -12

Step 3: 2b = -4

Step 4: b = -2

In which step did Isaac make the mistake that led to his incorrect solution?

• Step 1

• Step 2

• Step 3

• Step 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which ordered pairs are solutions to the inequality graphed in the coordinate plane?

Select all that apply.

• (5, 1)

• (-3, 6)

• (6, -3)

• (-7, 7)

• (5, 5)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Alan must write down the algebraic terms of the expression written below.

20x³y² + 32x²y - 15x + 11

What is the correct answer?

• 20, 32, -15

• 11

• 20x³y² , 32x²y, 15x, 11

• 20x³y² , 32x²y, 15x

Molly's family is going to a water park for the day. The entrance fee is $5 per vehicle for parking and $12 per person in the car.

Which expression represents the charge for n vehicles with p people per vehicle?

• 5n + 12p

• 12n + 5p

• n(12 + 5p)

• 12(5n + p)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1