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Q2:W8 Algebra Quiz 21-22

Total questions: 160

Worksheet time: 13hrs 56mins

Name
Class
Date
1.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
2.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
3.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
4.

Write the equation of the graph

a)

y=1y=1

b)

x=1x=1

c)

y=x+1y=x+1

d)

y=xy=x

5.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
6.

Convert Point-Slope y - 5 = - 2( x + 3) to slope-intercept form

a)

y = -2x - 11

b)

y = -2x - 1

c)

y = -2x + 8

d)

y = -2x - 2

7.

Convert Point-Slope y - 3 = 2( x - 5) to slope-intercept form

a)

y = 2x - 8

b)

y = 2x - 13

c)

y = 2x - 2

d)

y = 2x - 7

8.

What equation represents point-slope form?

a)

y = mx + b

b)

y - y1 = m ( x - x1 )

c)

y = mx - b

d)

y + y1 = m ( x + x1 )

9.

Convert Point-Slope y - 4 = 3( x + 1) to slope-intercept form

a)

y = 3x + 7

b)

y = 3x -- 1

c)

y = 3x + 5

d)

y = 3x - 3

10.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

11.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

12.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

13.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

14.
For the equation
y - 3 = 2(x + 4),
which of the following is true?
a)
The line has m = 2 passing through the point (4, -3)
b)
The line has m = 2 passing through the point (3, -4)
c)
The line has m = 2 passing through the point (-4, 3)
d)
The line has m = 2 passing through the point (-3, 4)
15.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

16.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
17.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
18.

What is the point slope form equation for the given line?(Use blue point for formula)

a)

y + 3 = 3 (x + 4)

b)

y + 4 = -3 (x + 3)

c)

y - 4 = 3 (x - 3)

d)

y + 4 = 3 (x + 3)

19.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

20.

give the point slope equation for the given graph (use the point in the formula)

a)

y + 2 = 32-\frac{3}{2}  (x + 2)

b)

y + 2 = 3 (x + 2)

c)

y  - 2 = 3 (x - 2)

d)

y - 2 = 32-\frac{3}{2}  (x - 2)

21.

Given the table, what is the equation of the line in point slope form?

a)

y - 12 = ½(x - 6)

b)

y - 4 = ½(x - 8)

c)

y + 2 = ½(x + 4)

d)

y + 6 = ½(x +12)

22.
Which is NOT a correct point-slope equation for the line in #14?
a)
y - 0 = 1/2(x + 2)
b)
y - 1 = 1/2(x - 0)
c)
y + 2 = 1/2(x + 2) 
d)
y - 2 = 1/2(x - 2)
23.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
24.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
25.
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
26.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
27.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(-5, 0)
d)
(0, -3)
28.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
29.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
30.
What is the equation of the line graphed?
a)
x = -1
b)
y = -1
c)
y = -1x
d)
y = x - 1
31.
What is the equation of the graphed line?
a)
y = 3
b)
y = 3x
c)
x = 3
d)
x = 3y
32.

Identify the x-intercept.

 2xy=82x-y=8  

a)

(4, 0)

b)

(0, 4)

c)

( -8, 0)

d)

(0, -8)

33.

Identify the x-intercept.

 2x4y=82x-4y=8  

a)

(4, 0)

b)

(0, 4)

c)

(-2, 0)

d)

(0, -2)

34.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

35.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
36.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
37.

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

a)

12x + 14y = 708

b)

14x + 12y = 708

c)

708x + 14y = 12

d)

12x + 708y = 14

38.

What is the slope intercept form of the equation using integers

4x - 8y = 72

a)

y = -4x + 72

b)

y = -4x - 9

c)

y = 1/2x - 9

d)

y = 4x + 9

39.

What is the equation of the line that passes through (-2, 3) and has a slope of 4?

a)

y = -2x + 3

b)

y = 4x - 2

c)

y = 4x + 3

d)

y = 4x + 11

40.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

41.

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

a)

y = 2x - 5

b)

y = -2x - 5

c)

y = 2x - 1

d)

y = 2x - 7

42.

What is the equation of the line that passes through (1, 4) and (2, 1)

a)

y = -3x + 1

b)

y = -3x + 4

c)

y = -3x - 7

d)

y = -3x + 7

43.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

44.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
45.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

46.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

47.
Which of these following is not a type of slope
a)
positive
b)
negative
c)
undefined
d)
all of these are types of slope
48.
What is the slope of the table?
a)
-3/5
b)
-5/3
c)
3/5
d)
5/3
49.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
50.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
51.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
52.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
53.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
54.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
55.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
56.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
57.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
58.
Find the rate of change.
a)
4 burgers per person
b)
6 burgers per person
c)
2 burgers per person
d)
2 people per burger
59.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

60.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
61.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
62.
Solve for x
l x−6 l + 4= 10
a)
x = 12 and x = 0
b)
x = 3 and x = -3
c)
x = -12 and x = 0
d)
No Solution
63.
Solve for x
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
64.
Solve for x
2 lx−4l+8=18
a)
x = 9 and x =-1
b)
x = 1 and x = -9
c)
x= 4 and x = -2
d)
No Solution
65.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
66.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
67.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
68.

2 < 3x - 12 < 5

a)

143 < x < 173\frac{14}{3}\ <\ x\ <\ \frac{17}{3}

b)

314 < x < 317\frac{3}{14}\ <\ x\ <\ \frac{3}{17}

c)

4 < x <34\ <\ x\ <3

d)

42 < x < 5142\ <\ x\ <\ 51

69.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

70.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
71.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

72.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

73.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

74.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

75.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

76.
Solve.
a)
x ≤ 14
b)
x < 14
c)
x ≥ 14
d)
x = 14
77.
Solve.
a)
x > -28
b)
x > 28
c)
x > -14
d)
x > 14
78.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

79.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
80.
Solve
a)
p ≤ -12
b)
p ≥ -12
c)
p ≤ 20
d)
p ≥ 20
81.
a)
e ≥ -4
b)
e ≥ 28
c)
e ≥ -12
d)
e ≥ 24
82.
a)
n < 7
b)
n > 13
c)
n < 8
d)
n > 15
83.

Graph the solution set of the inequality.


–4a ≤ –28

a)
b)
c)
d)
84.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
85.
What is 20% of 75?
a)
15
b)
60
c)
6
d)
1.5
86.
34% of what number is 51?
a)
69
b)
71
c)
150
d)
196
87.
What is 40% of 230?
a)
92
b)
9200
c)
9.20
d)
575
88.
What percent of 29 is 3?
a)
10.3%
b)
26.1%
c)
11.5%
d)
9.8%
89.
34% of what number is 51?
a)
69
b)
17
c)
150
d)
196
90.
The romantic couple went out for dinner. They spent $78.89 for dinner. Tax was 8% and the tip was 20%. What was the total bill?
a)
$6.31
b)
$15.78
c)
$78.89
d)
$100.90
91.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
92.
A pair of sandals costs $10.50.  There is a  7% sales tax.  What is the total cost of the sandals?
a)
$.74
b)
$10.50
c)
$12.78
d)
$11.24
93.
You are shopping for a new shirt, and you have narrowed your decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?
a)
Shirt A
b)
Shirt B
c)
The discount is the same.
d)
Well, it really depends on which one she likes more.
94.
Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
a)
20%
b)
40%
c)
60%
d)
80%
95.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
96.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
97.
a)
4 ft
b)
15 ft
c)
18 ft
d)
2 ft
98.
a)
8
b)
10
c)
14
d)
12
99.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
d)
8 feet
100.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
101.
Solve the proportion below:
a)
3
b)
24
c)
21
d)
12
102.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
103.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
104.
Solve the proportion:
a)
4
b)
21
c)
24
d)
3
105.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
106.
Solve for c
a)
-7/2
b)
-2
c)
-1
d)
-13/2
107.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
108.
Solve for w
a)
10/3
b)
50/9
c)
46/9
d)
22/3
109.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
110.
Round to the nearest tenth if necessary.

660 ft/min = ____________ ft/s 
a)
1.1
b)
11
c)
.11
d)
111
111.
Mrs. Solomon jogs at a rate of 7.5 miles per hour. How many miles per minute does Mrs. Solomon jog? 
a)
0.125 mi/min
b)
12.5 mi/min
c)
0.125 mi/h
d)
125 mi/h
112.
Round to the nearest tenth if necessary.

8 mi/h = ____________ ft/min 
a)
70.4
b)
660
c)
704
d)
6.6
113.
Round to the nearest tenth if necessary.

 60 ft/s ≈ ____________ mi/min
a)
3600
b)
.7
c)
60
d)
1
114.
Round to the nearest hundredth if necessary.

110 mi/h = _____________ mi/day    
a)
5620
b)
26.4
c)
9556
d)
2,640
115.
Solve the equation for w.  
x = w / a
a)
w = a / x
b)
w = x / a
c)
w = ax
d)
x = wa
116.
Solve the equation for d. 
d / t = r
a)
d = r / t
b)
d = t / r
c)
d = rt
d)
d = r - t
117.

Solve for h
V = lwhV\ =\ lwh

a)

V lw = hV\ -l-w\ =\ h

b)

Vlw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

Vlw=hV-\frac{l}{w}=h

118.

  u = bak \ u\ =\ bak\      Solve for  a

a)

 a=ubka=\frac{u}{bk}  

b)

 a = bkua\ =\ \frac{bk}{u}  

c)

 a = bkua\ =\ -\frac{bk}{u}  

d)

 a=ubka=-\frac{u}{bk}  

119.

Solve for a:            12am = 4

a)

 a =13ma\ =\frac{1}{3m}  

b)

a = 4 -12m

c)

 a = 12m4a\ =\ \frac{12m}{4}  

d)

 a = 12m  4a\ =\ 12m\ -\ 4  

120.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
121.
Solve for d:
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
122.
Solve for n:
n+2=-14-n
a)
6
b)
8
c)
-8
d)
-6
123.
Solve for p
a)
3
b)
48
c)
16
d)
12
124.
Solve for w
a)
-8
b)
8
c)
-32
d)
32
125.
Solve for r
a)
3
b)
-3
c)
3.3
d)
10
126.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
127.
Solve: x + 3x - 2x = 12
a)
2
b)
6
c)
-2
d)
-6
128.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
129.
Solve:
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
130.
a)
1/7
b)
47/36
c)
7
d)
23
131.
a)
19
b)
-9
c)
-100
d)
-50
132.
Solve the equation: 
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
133.
3(x-6)+2x=22
a)
x=8
b)
x=2
c)
x=18
d)
x=3
134.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
135.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
136.

Classify -7

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

137.

Classify 35\frac{3}{5}  

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

138.

 62\frac{6}{2}  Classify

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

139.

Classify 0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

140.

Evaluate x² - 2x + 1 when x = -3

a)

16

b)

-23

c)

-1

d)

none of these

141.

2 3/8 - 1 5/8 =

(2 and 3 eights - 1 and 5 eights)

a)

3/4

b)

7 /8

c)

4

d)

2 /3

142.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

143.
4× 1012 =
a)
4050
b)
13
c)
5048
d)
23
144.
41× 32=
a)
1212
b)
332
c)
13
d)
16
145.
3÷ 412 =
a)
278
b)
366
c)
16
d)
6
146.
2 + (9- 4)
a)
16
b)
77
c)
79
147.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
148.

 3×10+8423\times10+8-4^2  



(a)  

149.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
150.
Evaluate the following expression:
-3x2 - 5x + 7 when x = -2
a)
5
b)
10
c)
12
d)
7
151.
Evaluate the following expression:
x2 + 5 - x when x = 5
a)
25
b)
33
c)
20
d)
35
152.

Evaluate the expression when a = 3 b = 4

 7a +8b 237a\ +8b\ -2^3  


a)

149

b)

47

c)

60

d)

45

153.

 3yz\left|3y\right|-z  

Evaluate if y = 2 and z = 5

a)

1

b)

-1

c)

-11

d)

11

154.
Simplify the expression by combining like terms:
6p3 + m2 + h - p3 + m2 + 5h
a)
6p3 + 2m2 + 5h - p3
b)
7p3 + 2m2 + 5h + p3 
c)
5p3 + 2m2 + 6h - p3 
d)
4p3 + 2m2 + 6h + p3 
155.
Simplify the expression by combining like terms:
k3 + m + m - k3 + k2 + k2
a)
2k3 + 2m + 2k2
b)
2m + 2k2
c)
2k2 + 2m
d)
k3 + m + m - k3 + k2 + k2
156.
Simplify the expression by combining like terms:
4h3 + h + 3h - 6h3 + 2h2
a)
h3 + 3h + 2h2
b)
4h3 + 2h2
c)
-4h3 + h + 2h2
d)
-2h3 + 4h + 2h2
157.

Evaluate 4n - n2 for n = -3.

a)

-21

b)

-3

c)

8

d)

-7

158.

Evaluate (2y - 5)2 for y = -2.

a)

-25

b)

25

c)

-81

d)

81

159.
Which expression below shows:
8 less than a number (n)
a)
8 - n
b)
n - 8
c)
8n
d)
n + 8
160.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5