Review for Foundations Exam

Describe the solutions for the given graph.

• One real solution; x = -6.

• Two real solutions; x = -2 and x = 3.

• No real solutions.

• Infinite solutions.

Given the solutions of x = -5 and x = 3, which of the following equations best represent this function?

• f(x) = x² - 2x + 15

• f(x) = x² + 2x + 15

• f(x) = x² - 2x + 8

• f(x) = x² + 2x - 15

Tags

CCSS.HSA.APR.B.3

Find the dimensions of a rectangle with an area of x² +11x + 18.

• (x + 2)(x + 9)

• (x - 2)(x - 9)

• (x + 3)(x + 6)

• (x + 10)(x + 8)

Factor the following binomial using the difference of two squares: 36x² - 49

• (x + 6)(x - 7)

• (6x + 7)(6x - 7)

• (6x + 7)(6x + 7)

• (7x + 6)(7x - 6)

Tags

CCSS.HSA.APR.C.4

Find the domain for the given graph.

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• 
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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this function?

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• 
• 

Tags

CCSS.HSF-IF.C.7A

What is the domain of graph shown?

• -3 ≤ x ≤ 2
• {-3, -2, -1, 0, 1, 2} 
• -5 ≤ y ≤ 2
• {-5, -4, -3, -2, -1, 0, 1, 2}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Is the graph shown a function?

• Yes, passes the vertical line test
• No, passes the vertical line test
• Yes, doesn't pass the vertical line test
• No, doesn't pass the vertical line test

A TV company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function  $y=40+90x$  .

Which statement represents the meaning of EACH part of the function?

• y is the total cost, $90 is the inital fee, and $40 is the rate PER month

• y is the total cost, $40 is the inital fee, and $90 is the rate PER month

• x is the total cost, $90 is the inital fee, and $40 is the rate PER month

• x is the total cost, $40 is the inital fee, and $90 is the rate PER month

Tags

CCSS.HSF.LE.B.5

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• $7x+35=63$

• $7x=63$

• $7x-35=63$

• $35x+7=63$

Tags

CCSS.HSA.CED.A.3