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2nd Quarter Algebra Test Review

Total questions: 103

Worksheet time: 9hrs 27mins

Name
Class
Date
1.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
2.

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

a)

y = x - 3

b)

y = - 3x + 1

c)

y = x + 2

d)

y= - 3x + 4

3.

Write an equation

m = - 1/2 through ( -2, 4 )

a)

y = - 3/2x + 3

b)

y = 3/2x + 3

c)

y = - 1/2x + 3

d)

y = 3x - 3/2

4.

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

a)

y = 3x - 4

b)

y = - 3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

5.

Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )

a)

y = 2x - 5

b)

y = 1/2x - 5

c)

y = 2x + 5

d)

y = 1/2x + 5

6.

Write the slope-intercept form of the equation with the given point and slope.

Through ( 2, 5 ) and m= 1/2

a)

y = 1/2x + 4

b)

y = - 1/2x - 4

c)

y = 4x - 1/2

7.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

8.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

9.

If a line has a slope of -1/7 a line that is perpendicular has a slope of what?

a)

7

b)

-7

c)

-1/7

d)

1/7

10.

If a line has a slope of -5/6 a line that is parallel has a slope of what?

a)

-5/6

b)

6/5

c)

5/6

d)

-6/5

11.

If a line has a slope of 1/23 a line that is perpendicular has a slope of what?

a)

-23

b)

23

c)

1/23

d)

-1/23

12.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

13.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

14.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

15.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

16.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

17.
The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
18.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
19.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
20.
If Gold's Gym is looking to buy 30 TVs, how much will each one cost?
a)
400
b)
750
c)
1250
d)
0
21.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
22.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

23.

Which example shows CAUSATION? (Which one CAUSED the other to happen?)

a)

High social media usage and reduced grades.

b)

Car ran out of gas and being stranded on the side of the road.

c)

Recess time and number of friends.

d)

A person's age and what kind of cereal they eat.

24.

Estimate the correlation coefficient for this scatterplot.

a)

r = 1.2

b)

r = 0.89

c)

r = 0

d)

r = -0.89

25.

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

a)

For each hour of mowing, the mower is predicted to use 2 gallons.

b)

the predicted amount of gas the lawnmower can hold is 2 gallons

c)

For every two hours of mowing, the mower is predicted to use 7 gallons.

d)

The predicted amount of gas remaining after 1 hour is 2 gallons.

26.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y= 10 + 3x

What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

27.
Which scatter plot shows no relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
28.
Estimate the value of r:
a)
0.99
b)
0.05
c)
-0.99
29.

Which scatter plot diagram shows the strongest positive correlation?

a)
b)
c)
d)
30.

Which scatter plot diagram shows the strongest positive correlation?

a)
b)
c)
d)
31.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.07 weak
b)
-0.26 weak
c)
-0.26 moderate
d)
0.07 strong
32.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
33.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
34.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
same lines
35.
Solve by elimination 
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
36.
What is the solution to this system?
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
37.
Solve by elimination:
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
38.
What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 
a)
1
b)
-1
c)
3
d)
4
39.
Solve:
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
40.
Solve:
y = 4x - 10
y = 3x - 5
a)
(7 , -15)
b)
(1, -5)
c)
(5 , 10)
d)
(1, 2)
41.
Solve the system by substitution:

y = x + 5
4x + y = 20
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
42.
Solve each system by substitution.
a)
A
b)
B
c)
C
d)
D
43.
Solve each system by substitution.
a)
A
b)
B
c)
C
d)
D
44.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
45.
What is the solution to the following system of equations?
a)
( 3 , -1 )
b)
( 7 , 7 )
c)
( -1 , 3 )
d)
( 1 , 1 )
46.
Solve by elimination
-12x-4y= -8 
  -6x-2y= -4
a)
no solution 
b)
(0,0)
c)
infinite solutions 
d)
(4,0)
47.
Two equations that produce the same line have _____ solution(s).
a)
no
b)
one
c)
infinitely many
48.
Intersecting lines have _____ solution(s).
a)
No
b)
One
c)
many
49.
Parallel lines have ____ solution(s).
a)
No
b)
One
c)
Many
50.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
51.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
52.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
53.
r=-0.89
a)
Strong positive 
b)
Weak positive 
c)
Strong negative 
d)
Weak negative 
54.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.07 weak
b)
-0.26 weak
c)
-0.26 moderate
d)
0.07 strong
55.
Find the equation of the line of best fit for this table.
a)
y = -0.18x + 6.47
b)
y = 6.47x - 0.18
c)
y = 0.04x - 0.19
d)
y = -0.18x - 0.19
56.
Find the equation of the line of best fit for this table.
a)
y = -2.28x + 51.08
b)
y = 51.08x - 2.28
c)
y = 0.06x - 0.26
d)
y = -2.28x - 0.26
57.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
58.

What is the range of values that r can be between?

a)

Only negative values

b)

Only positive values

c)

Between -1 and 1

59.

If r=0, there is a strong correlation.

a)

True

b)

False

60.

If r is positive, then there is...

a)

Negative association

b)

No correlation

c)

Positive association

61.

If r is negative, then there is...

a)

Negative association

b)

No correlation

c)

Positive association

62.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
63.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
64.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
65.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
66.
a)
a
b)
b
67.
Simplify (8y3)6
a)
8y18
b)
86y18
c)
48y18
d)
8y9
68.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
69.
(22y3)5
a)
27y8
b)
256y8
c)
1024y15
d)
None
70.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
71.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
72.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
73.
a)

a-3

b)

a3

c)

3a

d)

1/a-3

74.
a)
b)
c)
d)
75.
a)

0

b)

1

c)

3

d)

31

76.
a)
b)
c)

2x4y4

d)

2

77.
Simplify
a)
A
b)
B
c)
C
78.
Simplify
a)
A
b)
B
c)
C
79.
Simplify
a)
A
b)
B
c)
C
80.
Simplify
a)
A
b)
B
c)
C
81.
Simplify
a)
A
b)
B
c)
C
82.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
83.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
84.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
85.
Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6
a)
Yes
b)
No
86.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
87.

Williamsville North is selling tickets for their spring musical. On the first day of sales, they sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, they sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

a)

An adult ticket costs $4 and a student ticket costs $7.

b)

An adult ticket costs $7 and a student ticket costs $4.

c)

An adult ticket costs $6 and a student ticket costs $3.

d)

An adult ticket costs $3 and a student ticket costs $6.

88.

Williamsville North is selling tickets for their spring musical. On the first day of sales, they sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, they sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

a)

An adult ticket costs $4 and a student ticket costs $7.

b)

An adult ticket costs $7 and a student ticket costs $4.

c)

An adult ticket costs $6 and a student ticket costs $3.

d)

An adult ticket costs $3 and a student ticket costs $6.

89.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

$1.50N + $0.50S = $78.50

N + S = 87

b)

$1.50N + $0.50S = $78.50

$1.50N + $0.50S = 87

c)

N + S = $78.50

$1.50N + $0.50S = 87

d)

N + S = $78.50

N + S = 87

90.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office. It cost $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations models this scenario?

a)

10c + 5d = $14.25

5c + 10d = $16.50

b)

10c + 5d = $16.50

5c + 10d = $14.25

c)

c + d = 10

5c + 10d = $16.50

d)

c + d = 5

5c + 10d = $16.50

91.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
92.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
93.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
94.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
95.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
96.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
97.
Simplify: (3x4 + 2x - 4x2) + (5x2 - 8x + 6x4)
a)
 9x4 + 10x + 9x2
b)
9x4 + x2 - 6x
c)
 3x4 + 9x2 + 6x
d)
3x4 - 6x + x2
98.
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
99.
(-2x2 + 4x + 4)(3x - 5)?
a)
 -6x3 + 12x2 + 15x – 5
b)
 -6x3 + 22x2 + 32x – 20
c)
. -6x3 + 2x2 – 8x – 5
d)
 -6x33 + 22x2 - 8x – 20
100.
What is the area for the given rectangle:
a)
6x3 - 9x2 + 10x - 15
b)
6x2 + 1x - 15
c)
6x2 + 4x + 4
d)
6x3 + 1x2 - 15x
101.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
102.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
103.
Write a polynomial expression for the area of the triangle: 
a)
18x2 - 54x
b)
9x2 + 9
c)
36x2 + 108x
d)
9x2 + 27x

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