UNIT 3

The total cost of purchasing x cups of coffee at each of the two competing coffee shops is represented by the graph and by the equations shown below;

Which statements accurately compare costs for the two coffee shops? Choose ALL that are correct.

• For 10 cups of coffee sold, the total cost at Coffee shop A is $2.50 less than the total cost at Coffee shop B.

• For 8 cups of coffee sold, the total cost at either coffee shop is 20.

• The price of a cup of coffee at each shop is the same.

• Coffee shop A has the most expensive coffee.

• Coffee shop B has the most expensive coffee.

Answer explanation

What is the slope ?

Tags

CCSS.8.EE.B.5

  Alexander and Smith both have part-time jobs where they get paid by the hour. Smith makes more than Alexander.

The number of dollars, d, Alexander makes in h hours can be modeled by the equations d = 7.5h.

Smith created a graph; with the number of hours, he works along the x-axis and the number of dollars he makes along the y-axis. His graph is a line with a slope of 7 and a y-intercept is 0. Which is a true statement?

• Smith’s graph is incorrect because the slope should be greater than 7.5.

• Smith’s graph is incorrect because the y-intercept should be greater than 7.5

• Smith’s graph is correct because the slope should be less than 7.5.

• Smith’s graph is correct, because the y-intercept should be less than 7.5.

Tags

CCSS.8.EE.B.5

Marissa’s dance studio charges a monthly fee, plus a fixed amount per class. The line shows the cost, y, for x classes taken. What is an equation for the line in slope-intercept form?

• y = 20x + 10

• y = 10x + 20

• y = 20x - 10

• y = 10x – 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The growth in earnings for a digital music service is shown in the graph below.

Choose ALL the statements that are true.

• The digital music service initial earnings were 5 million dollars.

•   The digital music service initial earnings were 2.5 million dollars.

• The digital music service increases its earnings by 5 million dollars per quarters of a year.

• The digital music service increases its earnings by 2.5 million dollars per quarters of a year.

• The digital music service earnings, y, in millions of dollars, after x quarters of a year is given by y = 5x + 2.5

Tags

CCSS.HSF.LE.B.5

Solve.

2(19 – c) = 2(6c + 2) + 3c

• 2

• -2

How many solutions does 9x -18 = 3(3x -6) have?

•   Infinitely many solutions

• No solution

• One solution

• Two solutions

Tags

CCSS.8.EE.C.7A

Select ALL equations that DO NOT have infinitely many solutions.

• 5x + 10 = 5x + 20

• 4 (2x – 5) = 8x – 20

• 5x + 8 – x = 20 + 4x – 12

• 15x – (10 + 5x) = 20x – 10

Tags

CCSS.8.EE.C.7A

• z = 0.8

•   z = 0.9

• z = 2.8

• z = 3.6

Tags

CCSS.8.EE.C.7B

Jeremiah and Darren both collect baseball cards. Jeremiah starts with 11 cards and collects 3 cards each week.

Darren starts with 5 cards and collects 4 each week. Which statement about the number of weeks it will take Jeremiah and Darren to collect the same number of cards is true?

• The boys will collect the same number of cards at two different weeks.

• The boys will never collect the same number of cards.

• The boys will collect the same number of cards every week.

• The boys will collect the same number of cards at one week.

Tags

CCSS.5.OA.B.3

• (2, 6)

• (-2, 6)

• (6, 2)

• (-6, -2)