Foundations of Algebra Final

The lengths of the side of a triangle are 3 consecutive odd integers.  If the perimeter of the triangle is 57, what is the length of the longest side?

• 17
• 21
• 33
• 15

Tags

CCSS.8.EE.C.7B

What is the slope of the line that passes through the points (1, -3) (-1, 9)

• -12
• 6
• 12
• -6

Tags

CCSS.8.EE.B.5

The formula d = rt can be used to calculate the distance d traveled at a speed of r over time t.  Which formula can be used to calculate the speed r?

• r = dt
• r = d/t
• r = t/d
• r = d - t

Tags

CCSS.HSA.CED.A.4

A technician charges $140 for 1 hours and $450 for 6 hours.  Which function models the cost of a job for x hours?

• y = 62x
• y = 78x
• y = 62x + 78
• y = 140x + 70

Tags

CCSS.HSF-BF.A.1A

The equation S = 2k + 2b is equivalent to which of the following when you solve for k?

• k = 2S - 2b
• k = S - 2b - 2
• k = 2 / (S - 2b)
• k = (S - 2b) / 2

Tags

CCSS.HSA.REI.B.3

Which is an equation of a line parallel to the line that passes through (4,-3) and (6, -7)?

• 2x + 4y = 8
• 6x + 2y = 12
• -6x + 3y = 9
• 8x + 4y = 15

An artist charges $35 for each portrait she paints. Her monthly expense for art supplies is $400.  If her profit is the difference between her monthly earnings and her monthly expenses, which inequality represents the number of portraits p that the artist must sale to make a profit of at least $3000?≤≥≥≥

• 35p - 400 ≤ 3000
• 400 - 35p ≥ 3000
• 35p - 400 ≥ 3000
• 3000 - 35p ≥ 400

Tags

CCSS.7.EE.B.4B

Which of the following is equivalent to 
15 - 6m ≤ -33

• m ≤ 8
• m ≥ 8
• m ≤ 3
• m ≥ 3

Tags

CCSS.7.EE.B.4B

f(x) = 7x + 11
g(x) = 6x - 13
What is the value of x when f(x) = g(x)?

• -24
• -2
• 13
• - 2/13

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A student recorded 45 students at hour 8 and 125 at hour 12.  What calculation can be used to find the rate of change from hour 8 to hour 12?

• find the slope between (45, 8) and (125, 12)
• subtract 125 and 45
• find the slope between (8,45) and (12, 125)
• subtract 12 and 8

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6