Download 1. A weight lifter is training for a competition. Each week he

Name: ______________________________________ Date: _____________________ Period: ___________
Semester Final Review
1. A weight lifter is training for a competition. Each
week he increases the amount of weight he lifts on the
bench press. The amount of weight he lifts each week
is represented on the graph below.
4. Graph the following ordered pairs and label with the
letter.
A. (2,0)
E. (-8,1)
B. (-1,5)
F. (6,-6)
C. (-3,-5)
G. (9,-10)
500
450
Weight (lbs)
400
350
300
H. Origin
D. (0,-4)
250
10
200
150
8
100
6
50
4
0
2
0
1
2
3
4
5
6
7
8
9
10
-10 -8
Weeks
-6
-4
B 375
C 410
D 450
2
4
6
8
10
-2
Predict how much he will lift in week 8
A 350
-2
-4
-6
-8
2. What type of relationship is shown in the graph?
-10
5. Which of the following functions represents a linear
function?
10
9
8
A No correlation
A f(x) = 3x2 + 2x – 4
B f(x) = 3x + 7
B Positive correlation
3
C f(x) =
-5
x
D none of these
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
1 2 3 4 5 6 7 8 9 10
C Negative correlation
-4
-5
-6
-7
-8
D Undefined correlation
6. Which equation best describes the data in the table?
-9
-10
x
-1
1
3
5
3. Sam earns $5 an hour delivering pizzas plus he gets
$20 per week for gas. His weekly pay is represented by
the function y = 5x + 20 where x is the number of hours
he works and y is his total pay for the week. Match the
following for this situation:
_____ dependent quantity
_____ rate of change
_____ y- intercept
_____ independent quantity
7.
y
-8
-6
-4
-2
A y = -x – 7
B y=x+7
C y=x−7
D y = 8x
At Academy Sports, Patrick earns $250 per week
plus 5% commission on his sales. What is the
minimum he would have to sell to earn at least
$500 for the week?
A $20 for gas
A
$50
B
$500
B number of hours he works
C
$5,000
D
$50,000
C total pay for the week
D $5 per hour
Answer the following questions # 12 – 16 using the
graph below
8. A carnival charges a $5 entrance fee and $.50 for
each ride. Which graph best describes this situation?
10
A
B
9
8
9
7
8
8
7
7
6
6
5
5
4
4
4
3
3
3
2
2
2
1
1
1
Cost
Cost
9
10
10
5
1
2
3
4
5
6
7
8
9
10
6
1
2
No. of Rides
3
4
5
6
7
8
9
10
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
No. of Rides
1 2 3 4 5 6 7 8 9 10
-2
-3
-4
10
Cost
C
9
-5
8
-6
7
-7
6
-8
5
-9
4
-10
12. What is the slope?
3
2
1
1
2
3
4
5
6
7
8
9
10
13. What is the y intercept?
No. of Rides
9. Consider the following graph. If the line is translated
3 units down, which equation describes the new line?
14. What is the equation of the line?
10
9
8
7
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1
x–3
2
1
B y= x–4
2
A y=
6
1 2 3 4 5 6 7 8 9 10
15. Write the equation of the line if it has been shifted
up 6 units.
16. Graph the new line from #15 on the graph.
C y = 2x – 3
-2
-3
-4
-5
-6
D y = 2x – 4
-7
-8
-9
-10
10. Find the perimeter of the rectangle.
2(x + 1)
17. Jamal has to do push-ups at tennis practice. The
function h = 2p + 72 represents the relationship between
his heart rate, h, and the number of push-ups
completed, p. Which is the independent quantity in the
function?
A Number of push-ups completed
B Heart rate after doing p push-ups
C Heart rate before beginning
3x
D Amount of time spent doing push-ups
11. Select the equation that best describes this table.
A y = x – 15
B y = -4x – 3
C y = 4x – 15
D y=x–3
18. Find the slope of the line going through the points
( -2, 6) & ( 1, 3).
19. Circle the table that shows a negative correlation.
A
C
x
y
0
B
x
y
0
-1
2
-1
-1
0
4
-2
-2
1
6
-3
-3
2
8
x
y
-1
D
x
y
1
0
-2
-2
0
2
-4
-3
-1
4
-6
-4
-2
6
-8
22.
Solve the following equation:
2x + 5 = 21
23. Which equation below does not represent a linear
function?
A
6x + y = 3
B
y=3
C
y=
6
x
D
y = 2x + 1
24. What is the slope of the line given by the
equation?
–2x + 6y = 24
20. The graph of an equation is shown. What is the
slope?
10
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
1 2 3 4 5 6 7 8 9 10
A
-5
B
3
C
D
1
3
5

2
-9
-10
25. What verbal phrase describes the function graphed
below?
Taxi Ride Cost
5
4.5
4
3.5
Cost ($)
9
8
3
2.5
2
1.5
1
21. What is the inequality represented by the graph?
0.5
1
2
3
4
5
6
7
8
9
10
Miles
A The cost of riding a taxi is $2 plus $.50 per mile.
B The cost of riding a taxi is $2.00.
C The cost of riding a taxi is $.50 per mile.
D The cost of riding a taxi is $.50 plus $2 per mile
26. Solve and graph the following inequality:
6x + 4 < 28
32. Amy's Ice Cream charges $2 for a scoop of ice
cream plus $0.75 for each topping. If Joe's total charge
for a scoop of ice cream is $3.50, which equation below
can be used to find out how many toppings he bought?
A
2 + 75x = 3.50
B
2x + 0.75 = 3.50
C
(2 + 0.75)x = 3.50
D
2 + 0.75x = 3.50
27. Which function below has a slope of 4 and passes
through the point (-2, -7)?
33. If 2x + 9 = x + 6, what is the value of x?
28.
A
f(x) = -2x – 7
B
f(x) = 4x – 7
C
f(x) = 4x + 1
D
f(x) = -2x + 4
Solve the equation:
2x + 4 = 3x - 1
34. Find the slope of the line passing through points
( 6, 8) and ( 1, -2).
29. Graph the following inequality.10
8
y – 2x ≥ 4
6
35. Which of the following statements correctly
translates into the equation y = 5x+11 ?
4
2
-10 -8
-6
-4
-2
2
4
6
8
10
A
Renting a surfboard at Bob’s Surf Shack
costs $5 per hour.
B
Renting a surfboard at Bob’s Surf Shack
costs $11 per hour plus an initial fee of
$5.
C
Renting a surfboard at Bob’s Surf Shack
costs $11 for the first hour and $5 for
ever additional hour.
D
Renting a surfboard at Bob’s Surf Shack
costs $5 per hour plus an initial fee of
$11.
-2
-4
-6
-8
-10
30.
Roses-R-Red charges the school a flat fee of
$100 plus 20¢for each carnation that is ordered. The
final bill was $200. How many carnations were
ordered?
31. Find the perimeter of the figure below?
36. What is the domain and range for the walk graphed
below.
2a + b
Domain
3a – 2b
4a + b
_______________
Range
- a+2b
a + 3b
_______________
37. Karen is buying pizza for her friends. A plain large
pizza costs $7.50. Each topping costs $0.75. She only
has $10 to spend on the pizza. What is the maximum
number of toppings that she can get?
41. Which of the following is not a function?
A
B
A
2 toppings
B
3 toppings
C
4 toppings
D
5 toppings
{(2,3), (3,5), (2,4), (1,6)}
60
50
40
30
20
10
1
2
3
4
5
C
38. Choose the domain and range for the walk graphed
below.
D
2
-3
4
7
1
-5
42. Solve the equation:
A 0 < x < 10
20 < y < 20
C x >0
y > 20
B
D x < 10
y < 30
0 < x < 10
20 < y < 30
39. Which of the following ordered pairs is a solution to
the inequality?
6x + y < 24
A (0, -3)
B (-1, 30)
C
(6, 24)
D
(5, -5)
40. Greg's Auto Repairs charges $75 per hour for
labor plus the cost of the broken parts. Mary's fan belt
broke, and the parts for the new fan belt cost $50.
When she got her bill, she owed them $275 for parts
and labor. How many hours did Greg work on her car?
1
(4x + 8) = 4x
2
43. Which situation best describes a linear function?
A The number of students enrolled in school, when
the enrollment doubles every 5 years.
B The area of a square compared to the length of
its side.
C The number of bacteria when the total count
triples every hour.
D The monthly cost of a cell phone when the
charge is $25 plus $.10 per minute.
44. What is the rate of change of the line given by the
equation 10x + 5y = 15?
45. Maria is exercising to lose weight. The more she
exercises the more weight she loses. What is the
dependent variable?
48. Which verbal phrase describes the function graphed
below?
10
A
The length of her arms.
B
The amount of time she exercises.
The weight she loses.
D
Her height.
No. of Cups of Flour
C
9
46. What equation represents the data in the table?
x
y
-2
0
-7
3
1
3
8
18
6
5
4
3
1
1
2
3
4
5
6
7
8
9
10
No. of Batches
A
y = 4x + 3
B
y = 5x + 3
C
y = 5x – 7
D
y = 10x – 7
A
It takes 4 cups of flour to make 2 batches of
cookies.
B
There are 2 cookies in 1 batch.
C
It takes 2 cups of flour to make 4 batches of
cookies.
D
It takes 1 cup of flour to make 2 batches of
cookies.
49. The graph of the equation −2x + 3y = −15 is shown.
10
B
10
9
8
8
7
7
9
6
6
8
Cost
9
5
10
7
5
4
4
3
3
2
2
1
1
6
5
4
3
1
2
3
4
5
6
7
8
9
2
1
1
10
2
3
4
5
6
7
No. of Tickets
No. of Tickets
8
9
10
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1 2 3 4 5 6 7 8 9 10
-2
-3
-4
-5
C
-6
10
-7
9
-8
8
-9
7
-10
6
Cost
Cost
7
2
47. Gilbert wants to buy concert tickets. Each ticket
costs $4. Which graph can be used to describe the
cost, y, of x tickets?
A
8
5
50. Translate the following into a math sentence. Do
not solve.
A. Twelve more than a double a number is
twenty.______________________
4
3
2
1
1
2
3
4
5
6
7
8
9
10
No. of Tickets
B. Sixteen less than a twice a number is
four.________________________
51. Identify the set of points plotted on the graph.
56. Which equation describes a line parallel to the line
graphed?
A y = − 3x + 2
B y = 3x +4
52. Evaluate the expression -2w² - 3y when w = -3
C y= 
and y = -6.
D y=
1
x+8
3
57. Solve 6x – 5 = -23
53. Translate three less than a number is twelve.
54.
1
x+6
3
Write the equation of the line that goes through the
points (-3, -3) and (1, 5)?
58. Find the missing step in solving the equation
9x – 18 = 27
x=5
55. Graph the equation10
y = 2x + 1?
8
6
A
x – 2 = 27
B
9x = 9
C
x – 18 = 3
D
9x = 45
4
2
-10 -8
-6
-4
-2
2
-2
4
6
8
10
59. Simplify the following expressions.
A. 11y + 6 + 8x – 9y + 1y + 3x -4
-4
-6
-8
-10
B.
– (2x -5) + 3(5x + 4)
63. Clyde’s Carpet Cleaners charged your parents a flat
rate of $25 plus a fee of $75 for each room cleaned.
Their bill was $325, how many room did they have
cleaned.
60. Solve the following equations.
A. 8x + 6x = -70
B. 2( 2s - 3) = 6(s + 2)
64. Your mom placed $100 in a savings account for
you to use a spending money. She allows you to
withdraw $8 a week, but reminds you that you must
have a balance of at least $10. What inequality
represents this situation?
C. 3(-2x – 5) = -6x -15
D. 4x -3= 4x
A
100 + 8x > 10
B
100 + 8x > 10
C
100 – 8x > 10
D
100 – 8x > 10
65. Write the equation of the line passes through
(2, -13) and has a slope of –8?
61.
What does this equation look like after using the
distributive property:
-2 (x – 4) = 4 (2x + 3)
62. Which verbal phrase describes the function
graphed below?
66. The squares below show a pattern.
10
9
8
7
Cost
6
5
Write a function rule that can be used to determine
the number of squares at stage n?
4
3
2
1
1
2
3
4
5
6
7
8
9
10
No. of Tickets
A Tickets cost $4.00 each
B There is a $4.00 flat fee and each ticket costs $2
C There is a flat fee of $1 and tickets cost $4.00
D There is a flat fee of $4.00 and tickets cost $1.00
each
67. Give an example of each of the following.
Distributive Property
______________________
Associative Property
______________________
Commutative Property
______________________
68. What is the rate of change for
the given table?
x
y
4
2
5
0
6
-2
73. What is the slope of the line parallel to y = 5x + 6?
7
–4
74. What is the slope of the line perpendicular to
y = 5x + 6?
69. Which of the following is a solution of the
inequality?
5x - 3(x - 4) < 10
A
5
B
0
C
-1
D
-6
75. Which ordered pair would be a solution to the
inequality graphed?
70. Graph the equation
y = -4.
10
A
(0, 4)
B
(-2, 5)
C
(1, 3)
D
(4, -2)
8
6
4
2
-10 -8
-6
-4
-2
2
4
6
8
10
-2
76. What is the effect on the equation y = -3x+2 if the
y-intercept is changed to -7?
-4
-6
-8
-10
71. Graph the equation
x = 2.
10
8
6
4
2
-10 -8
-6
-4
-2
2
4
6
8
10
-2
77. Which point is not a solution to the inequality
y ≤ -3x + 2?
-4
-6
A. (-1, 2)
-8
-10
72. Graph the equation
5x – 4y = 8.
B. (1, -1)
C. (3, -2)
D. (2, -5)
10
8
6
4
2
-10 -8
-6
-4
-2
2
-2
-4
-6
-8
-10
4
6
8
10