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Dees Fall Semester Review

Total questions: 70

Worksheet time: 2hrs 8mins

Name
Class
Date
1.
Solve for y:
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
2.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
3.
10x - 2y = 6
a)
y = 5x - 3
b)
y = -5x + 3
c)
-2y = -10x + 6
d)
y = 1/5x - 1/3
4.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
5.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
6.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
7.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
8.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
9.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
10.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
11.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
12.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
13.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
14.
Solve for k. 

7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
15.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
16.
Simplify the following expression:
x + 4 - 7(x - 5)
a)
-33x + 19
b)
-47x2 +  21
c)
33x - 19
d)
-6x + 39
17.
Bob has $150 in his savings account and saves $40 per month.
a)
150 + 40
b)
40x + 150
c)
150x + 40
18.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
19.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
20.
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
a)
6x + 8 ≥ 42
b)
8x + 6 ≤ 42
c)
6x + 8 > 42
d)
8x + 6 < 42
21.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
22.
Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?
a)
3.5h + 1.5d ≤ 30
b)
3.5d + 1.5h ≤ 30
c)
3.5h + 1.5d ≥ 30
d)
3.5h + 1.5d < 30
23.
 y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
24.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
25.

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5) and (105, 6). What is the domain for this situation?

a)

52 ≤ x ≤ 105

b)

{3, 4, 5, 6}

c)

{52, 72, 86, 105}

d)

3 ≤ y ≤ 6

26.

The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20. If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function for this situation?

a)

The set of all real numbers greater than or equal to 5,000.

b)

The set of all integers from 0 to 5,000

c)

The set of all real numbers from 0 to 250

d)

The set of all integers from 0 to 250

27.

A set of weights includes a 4lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by

f(x) = 20x+ 4.

What is the range of the function for this situation?

a)

0 ≤ x ≤ 6

b)

{4, 24, 44, 64, 84, 104, 124}

c)

{0, 2, 4, 6}

d)

4 ≤ f(x) ≤ 124

28.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the team, what is the domain of the function for this situation?

a)

0 < u ≤ 12

b)

0 < c ≤ 425.65

c)

{8, 9, 10, 11, 12}

d)

{285.85, 320.80, 355.75, 390.70, 425.65}

29.
What is the slope of the line with the equation y - 5x = 11?
a)
-5
b)
11
c)
5
d)
-11/5
30.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
31.
Change the following to slope-intercept form:
5x - 5y = 25
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
32.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
33.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
34.
-4x-2y=-12
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
35.
4x+8y=20
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
36.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
37.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
38.
Solve the following system by graphing.  What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
39.

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

a)

(-2,-1)

b)

(-1,-2)

c)

(1,2)

d)

(2,1)

40.
Solve this system of equations by graphing. 
y = 1/2x + 2
y = -3x + 9
a)
(2,3)
b)
(-2,-3)
c)
(3, 2)
d)
(-3,2)
41.
Which ordered pair is a solution to the system? 
a)
(2, 5)
b)
(8, 12)
c)
(6, 4)
d)
(2, 6)
42.
Which ordered pair is a solution to the system? 
a)
(7, -3)
b)
(0, 2) 
c)
(2, 0) 
d)
No Solution 
43.
Which runner was faster?
a)
Runner A
b)
Runner B
44.
Leslie cleans the barns for the horses.  Her time spent cleaning can be modeled by the equation y = 15 x + 30, where x represents the number of stalls that contains horses.  What is the meaning of the y-intercept?
a)
The time it takes to clean one horse
b)
the time it takes to clean one stall
c)
the time it takes to clean an empty barn
d)
the times it takes to clean each of the stalls with a horse
45.
Johnny has to pay $15 for a large pizza and 1.50 for each topping.  What is the meaning of the y-intercept?
a)
It cost 1.50 per topping
b)
It cost 1.50 for unlimited toppings
c)
It cost $15 for a large pizza
d)
It cost $15 for a large pizza with no toppings
46.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
47.
What is the slope
a)
2
b)
2/3
c)
-2/3
d)
3/2
48.
What is the slope?
a)
2
b)
-1/2
c)
-2
d)
10
49.
What is the slope?
a)
5
b)
-5
c)
1/5
d)
-1/5
50.

What is the equation of the line graphed above?

a)

y=3

b)

x=3

c)

y=3x

d)

x= -3

51.

What is the equation of the line graphed above?

a)

x= -4

b)

y= -4x

c)

y= -4

d)

y=x

52.

y=4

Does the equation represent a horizontal or vertical line?

a)

Horizontal

b)

Vertical

53.

x= -9

Does the equation represent a horizontal or vertical line?

a)

Horizontal

b)

Vertical

54.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
55.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
56.
The product of 4 and the sum of a number and 12 is at most 16.
a)
4(x + 12) ≥ 16
b)
4(x + 12) ≤ 16
c)
4x + 12 ≤ 16
d)
4x + 12 ≥ 16
57.
Ten less than a number is greater than 32.
a)
10 - x > 32
b)
x - 10 ≥ 32
c)
x - 10 > 32
d)
10 - x ≥ 32
58.
3 times the difference of a number and 4 is no more than 22.
a)
3(x - 4) ≥ 22
b)
3(4 - x) ≤ 22
c)
3(4 - x) ≥ 22
d)
3(x - 4) ≤ 22
59.
A number increased by 6 is no more than 4.
a)
x + 6 ≥ 4
b)
6x ≤ 4
c)
x + 6 ≤ 4
d)
6x ≥ 4
60.
What is the type of correlation?
a)
Negative 
b)
no correlation
c)
positive 
61.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
62.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
63.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

64.
Which sentence describes the relationship shown on this scatter plot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
65.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
66.

Does this sign make the line dotted or solid ? ≤

a)

dotted

b)

solid

67.

Does this sign make the shading above or below the line? ≥

a)

below

b)

above

68.

Does this sign make the shading above or below the line? <

a)

below

b)

above

69.

Consider the function y>-3x+7. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

70.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D

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