8th Grade Milestones Review

Sandra makes necklaces and sells them at a school craft fair. She uses the equation P = 7.5n – (2.25n + 15) to determine her total profit, in dollars, at the fair when n necklaces are sold. Based on this equation, how much does she charge for each necklace?

• $2.25

• $7.50

• $15.00

• $17.25

Tags

CCSS.8.EE.C.7B

An equation is shown. 3x – 7 = 2(x + 3) What value of x makes the equation true?

• -4

• -1

• 10

• 13

A home repair company charges a flat fee of $125 plus an additional $35 per hour, h, a home repair job takes. The company expects to make at least $500 for one such home repair job. Which inequality gives all the possible numbers of hours, rounded to the nearest tenth, the company expects the job to take so that the company makes at least $500?

• h ≤ 10.7

• h ≥ 10.7

• h ≤ 17.9

• h ≥ 17.9

The formula V = πr²h can be used to find the volume, V, of a cylinder with a radius of r and a height of h. What equation will give the height, h, of a cylinder that has a known volume and radius?

• h = πr²√V

• h = Vπt / r²

• h = Vr² / π

• h = V / πr²

Tags

CCSS.HSA.CED.A.4

The total daily expenses to operate Sheila's pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each employee a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila's bakery to make x pies. 4(75) + $0.50x What does the term 4(75) represent?

• the amount of money Sheila must pay her employees each day

• the number of pies Sheila makes in a day

• the total cost of expenses for a day

• the amount of money customers pay per pie

Tags

CCSS.HSA-SSE.A.1A

The graph of the linear equation y = 3x – 9 is shifted 2 units up. Which equation correctly describes the graph of the new line?

• y = 6x – 9

• y = 3(x + 2) – 9

• y = 3x – 7

• y = 6x – 18

Which equation represents a nonlinear function?

• y = 3x^3

• 3x + 2y = 10

• y = 15.3

• y = 1/4x - 2

Tags

CCSS.8.F.A.3

Select the THREE equations whose graphs are straight lines.

• y = x^2 - 2

• y = 7

• y = 1/2x

• y = 1/x

• 3x + y = 10

The equation of a linear function that passes through the point (3, −1) and has a slope of −2 can be written in point-slope form as y + 1 = −2(x − 3). Which equation can be used to BEST identify the y-intercept of the linear function?

• y = −2x − 7

• y = −2x + 5

• 2x + 2y = 7

• 2x + 2y = −5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A local fair charges an entry fee as well as a fee for each ride ticket purchased at the fair. The equation y = 3x + 15 can be used to determine the amount of money a person will spend at the fair. What do the numbers 3 and 15 represent in terms of the money spent at the local fair?

• The 3 represents the cost per ticket, and the 15 represents the entry fee.

• The 3 represent the entry fee, and the 15 represents the cost per ticket.

• The 3 represents the entry fee, and the 15 represents the total amount paid.

• The 3 represents the cost per ticket, and the 15 represents the total amount paid.

Tags

CCSS.HSF.LE.B.5