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Point Slope and Standard Form CFA Review

Total questions: 16

Worksheet time: 31mins

Name
Class
Date
1.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
2.

The y-intercept of the graph f(x) is ________________  the y-intercept of the graph g(x).

a)

greater than

b)

less than

c)

the same as

3.

The slope of the graph f(x) is ________________  the y-intercept of the graph g(x).

a)

greater than

b)

less than

c)

the same as

4.

Which graph represents the equation y - 9.2 = 3.2(x - 6)?

a)

b)

c)

d)

5.

Sofia and Liam each started with different amounts of money in their savings accounts. Every week, they each add the same amount of money to their accounts.

The total savings, in dollars, y, that Sofia has after x weeks is given by the equation:

y=2x+30

Liam’s total savings, in dollars, y, after x months, is shown in the graph below.

Who started with more money?

a)

Sofia

b)

Liam

c)

Neither

d)

They had the same

6.

Sofia and Liam each started with different amounts of money in their savings accounts. Every week, they each add the same amount of money to their accounts.

The total savings, in dollars, y, that Sofia has after x weeks is given by the equation:

y=2x+30

Liam’s total savings, in dollars, y, after x months, is shown in the graph below.

Who saved more money each month?

a)

Sofia

b)

Liam

c)

Neither

d)

They had the same

7.

Sofia and Liam each started with different amounts of money in their savings accounts. Every week, they each add the same amount of money to their accounts.

The total savings, in dollars, y, that Sofia has after x weeks is given by the equation:

y=2x+30

Liam’s total savings, in dollars, y, after x months, is shown in the graph below.

Who had more money at the end of week 5?

a)

Sofia

b)

Liam

c)

Neither

d)

They had the same

8.

Which function has a greater rate of change than the function y = 5.7x + 10?

a)

b)

c)

d)

9.

Martin and Aiden are selling lemonade to raise money for a school trip. The information below shows how many cups of lemonade each boy sold per hour.

Martin: y=4x+6 Aiden: (0, 10) and (2, 20)

Which boy sold fewer cups of lemonade initially?

a)

Martin

b)

Aiden

c)

They had they same

10.

Martin and Aiden are selling lemonade to raise money for a school trip. The information below shows how many cups of lemonade each boy sold per hour.

Martin: y=4x+6 Aiden: (0, 10) and (2, 20)

What is the difference in their starting amounts?

a)

6

b)

4

c)

2

11.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.


Which coordinator charges the least fee per guest?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

12.

Consider the information given below.

The equation of a linear function that passes through the point (-2, 6) and has a slope of 5 can be written in point slope for as y - 6 = 5(x + 2).

Which equation can be used to BEST identify the y-intercept of the linear function?

a)

y = 5x + 16

b)

5x - y = -16

c)

y = 5x + 4

d)

5x - 7y = 3

13.

The graph shows the distance a plane travels. What does the point (2, 10) on the graph represent?

a)

The plane travels 2 miles in 10 minutes.

b)

The plane travels 10 miles in 1 minute.

c)

The plane travels 10 miles in 2 minutes.

d)

The plane does not travel at a constant rate.

14.

Write the equation in slope intercept form.

a)

y=-5/2x+1

b)

y=-5/2x-6

c)

y=-5/2x + 4/5

d)

y=-5/2x+14

15.

What is the equation in slope intercept?  

a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
y = 7x
16.

Solve this standard form equation so that it is in slope intercept form 6x+12y = 48

a)

48= 6x+12y

b)

y =12x −4y\ =\frac{1}{2}x\ -4

c)

y = −2x+4y\ =\ -2x+4

d)

y = −12x+4y\ =\ -\frac{1}{2}x+4