Linear Functions EOC review

1. A line is graphed using the equation
y = 2x - 5. A second line is graphed using the equation y=3/2x - 5.  Which describes the second line compared to the first line?

• The second line is less steep.
• The second line is more steep.
• The second line is five units lower.
• The second line has an opposite slope.

2. A function is given as
f(x) = 2x - 6, and the function g(x) is given by the table (on your paper). Which statement is true? 

• The function f(x) has a greater rate of change than the function g(x) 
• The function g(x) has a greater rate of change than the function f(x) 
• The function g(x) has a greater  x-intercept than the function f(x) 
• The function f(x) has a greater y-intercept than the function g(x)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

3. Allison compared the y-intercept of f(x) = 4 - 5x to the y-intercept of the function that fits the value of the table below. Which statement is true?

• The y-intercept of g(x) is half the y-intercept of f(x) 
• The y-intercept of g(x) is twice the y-intercept of f(x) 
• The y-intercept of g(x) is equal to the y-intercept of f(x) 
• The y-intercept of g(x) is the negative value of the y-intercept of f(x) 

4. Juan compared the slope of the function f(x)=-1/4(-8x-28) to the slope of the linear function that fits the  values in the table below. Which best describes the slopes of the two functions?

• Both functions have a positive slope
• Function f(x) has a negative slope, while function g(x) has a positive slope
• Both functions have negative slope
• Function f(x) has a positive slope, while function g(x) has a negative slope

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

5. David rented a small truck for one day. The truck cost $30.00 per day plus $0.40 per mile driven. Which  table represents these costs?

• A
• B
• C
• D

Tags

CCSS.8.EE.B.5

6. Given f(x) = 2x + 4 and the graph of g(x) below, which of the following statements is correct? 

• A
• B
• C
• D

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

7. The table below shows a car dealer’s paycheck based on the number of cars she sold. What is the meaning of the slope of the linear model? 

• The dealer gets $2,500 for every car she sells.
• The dealer gets $2,500 for every 6 cars she sells.
• The dealer gets $1,500 for every car she sells.
• The dealer gets $1,500 for every 6 cars she sells.

Tags

CCSS.HSF.LE.B.5

8. Dayana compared the slope of the following two functions: What is the slope of the function with the larger slope ? 

• 1/2
• 5/6
• 6/5
• 2

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

9. Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

10. The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9