Name: _____________________Period:______________________ SFA Review, 2011-2012

1. The graph at the right shows the various saving amounts for several students. Using the graph, answer the following questions.

a. If a person saves for 10 months, how much money will they have saved? __750___

b. If a person has $1200 in their account, for how many months have they saved? ____16______

c. What does the point (6, 450) represent? In 6 months they should save about $450

2. The table below shows ordered pairs from the graph of a linear function. Using the table and the graph (if necessary), answer the following questions.

a. What is the x intercept? _____ -2______

b. What is the y intercept? _____4_______

c. What is the rate of change? __4/2 or 8/4 or 2___

d. What is the equation? _y=2x +4__________

e. What would be the equation if you tripled the rate of change? ___________ y=6x +4____________________

3. If the ordered pair (x, 2) represents a point on the graph of the function 1

52

y x= − + , what is the

value for x? x = _6_

4. If the ordered pair (-6, y) represents a point on the graph of the function 2

63

y x= − , what is the value

for y? y = _ -10__

5. In the equation 4x + 3y = 20, what is the value of x when y is 4? x = __2__

6. In the equation 2x + 1.5y = 30, what is the value of y when x is 12? y =___4___

7. If (k, 4k) and (3k, 6k) are two points on the graph of a line and k is not equal to 0, what is the slope of

the line? (Hint: make a table and/or y

x

∆∆

) Slope = _(6k-4k)/(3k-k) = 2k/(2k) = 1__

x y-5 -6-3 -21 62 8

8. If (-6m, -m) and (3m, 2m) are two points on the graph of a line and m is not equal to 0, what is the slope

of the line? (Hint: make a table and/or y

x

∆∆

) Slope = __3m/(9m) = 1/3___

9. Nina is buying a new wardrobe. She has estimated that her new wardrobe will cost her $400. She already has $50 saved, and plans on saving $15 each week. Write an equation Nina could use to determine the number of weeks, w, it will take Nina to save for her new wardrobe.

________15x+50 = 400______________________________

10. Mike is going to buy some movie tickets. The website that he is buying from charges a $1.50 service charge, plus $9 for each ticket. Write an expression Mike can use if he plans to purchase 7 tickets.

______7= 9x +1.5____________________________________

11. Given the pattern below, determine which expression best represents n, the number of squares in each figure? (Hint: make a table)

a. n + 7 b. 3n + 5 c. 2n + 6 d. 4n + 4

12. The cost of talking on the pay phone is $1.75 plus $0.25 for each minute you talk. Use the equation

8 = 1.75 + 0.25m to determine the number minutes, m, the person talked if they paid $8.

_________25_____ minutes

13. A rectangle has a width represented by the expression 3x + 4 and a length of 8x. Which expression does not represent the perimeter of the rectangle?

a. 2(3x + 4) + 2(8x) b. 2(11x + 4) c. 2(3x + 4) d. 3x + 4 + 3x + 4 + 8x + 8x

14. Complete the following statements to correctly describe the function y = 3 – 12x.

a. The graph of the function has a slope of __ -12_.

b. The graph of the function has a x-intercept of ___1/4____.

c. The graph of the function has a y-intercept of ____3____.

figure #

# of squares

1 82 123 16figure 1 figure2

figure3

15. If (-4, y) is a point on the graph of the line -3x + 2y = 8, what is the value of y?

a. 4 b.3

2c. 2 d. -2

16. Determine the slope for each set of ordered pairs listed below: (Hint: make a table)

a. (4, -5) and (7, -2) b. (3, -4) and (1, 4) c. (3m, 6m) and (2m, 3m)

slope = __1___ slope = ___-4___ slope = ___3__

17. Which of the following represents a linear relationship?

a. b. c. d.

18. Write the function that would produce the following ordered pairs shown below.

{(1, 6), (2, 10), (3, 14)}

f(x) = __4x+2_______

19. Write the domain and the range of the function shown on the graph to the right.

Domain ______[-7,4]_______________

Range ______[-1,1]_______________

20. James says there is a pattern for finding the perimeter of a regular polygon so he drew the figures below. James asked his friends to help find the pattern for finding the perimeter of a regular polygon using the number of sides and the length of a side. Whose response is correct and why?

Mike says “add the # of sides and length of a side to find the perimeter”.Fred says “multiply the # of sides and length of a side to find the perimeter”.Larry says “subtract the # of sides and length of a side to find the perimeter”.

x y4 236 377 44

10 65

3 cm

3 sidesperimeter = 9

3 cm

4 sidesperimeter = 12

3 cm

5 sidesperimeter = 15

3 cm

6 sidesperimeter = 18