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Worksheets

Alg cumulative

Total questions: 153

Worksheet time: 12hrs 34mins

Name
Class
Date
1.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

2.
Compare:  -9  __ -1
a)
>
b)
<
c)
=
3.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
4.
5-19
a)
14
b)
24
c)
-14
d)
-24
5.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

6.

5×(6)=....5\times\left(-6\right)=....  

a)

-11

b)

-15

c)

-30

d)

30

7.

4+5×26=....-4+5\times2-6=....  

a)

3

b)

2

c)

1

d)

0

8.

12(8)=.....12-\left(-8\right)=.....  

a)

-20

b)

-4

c)

4

d)

20

9.

12÷(4)×5=....12\div\left(-4\right)\times5=....  

a)

-20

b)

-15

c)

15

d)

20

10.

A submarine descends below the surface of the water at a rate of 250 feet each minute. What is the depth of the submarine after 4 minutes?

a)

-62.5 feet

b)

-1,000 feet

c)

-246 feet

d)

-254 feet

11.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
12.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
13.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
14.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
15.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
16.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
17.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
18.
Solve for t.
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
19.
a)
s = -Dn + C
b)
s = Dn - C
c)
s = Dn/C
20.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
21.
Solve the following equation,
x + 7 = 28
a)
x = 35
b)
x = 4
c)
x = 196
d)
x = 21
22.
Solve the following equation,
3x + 6 = 21
a)
x = 9
b)
x = 5
c)
x = 15
d)
x = 27
23.
5(2x - 7) = 80
a)
x = 11.5
b)
x = 115
c)
x = 12
d)
x = 16
24.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
25.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
26.
Solve for x.
a)
55
b)
60
c)
15
d)
35
27.

Which equation below would give you the answer no solution?

a)

3x + 3 = 3x + 3

b)

3x + 3 = 6x + 6

c)

3x + 3 = 3x + 2

d)

3x + 3 = 0

28.
a)
-49
b)
153/5
c)
49
d)
85
29.

3y = 2g(x+h)  solve for x3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x  

a)

x = 3y+h2gx\ =\ \frac{3y+h}{2g}  

b)

x = 3yh2gx\ =\ \frac{3y-h}{2g}  

c)

x = 3y2g+hx\ =\ \frac{3y}{2g}+h  

d)

x = 3y2ghx\ =\ \frac{3y}{2g}-h  

30.

Solve the following equation:

x+102=15\frac{x+10}{2}=15  
You only need to write the number.



(a)  

31.

Solve the following equation for the indicated variable:

t=14v  ,  for vt=\frac{1}{4}v\ \ ,\ \ for\ v  

a)

v=4tv=4t  

b)

v=t4v=t-4  

c)

v=t+14v=t+\frac{1}{4}  

d)

v=t4v=\frac{t}{4}  

32.
When graphing an inequality, what does a closed circle mean?
a)
The number is not included in the list of answers.
b)
The number is included in the list of answers.
33.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
34.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
35.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
36.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
37.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
38.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
39.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
40.
Which graph matches the inequality
 ½ ≤ a?
a)
A
b)
B
c)
C
d)
D
41.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
42.
 Match the graph with the given solution.
a)
A
b)
B
c)
C
d)
D
43.
Solve:
x + 5 > 10
a)
x < 15
b)
x < 5
c)
x > 15
d)
x > 5
44.
Solve:
5 - 3x < -4
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
45.
Solve:
5 < x + 3
a)
x < 2
b)
x > 2
c)
x > 8
d)
x < 8
46.
Solve:
2x + 5 <  3x - 6
a)
x < 11
b)
x > 11
c)
x > -11
d)
x < -11
47.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
48.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
49.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
50.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
51.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
52.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
53.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
54.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
55.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

56.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

57.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
58.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
59.
a)
Function
b)
Not a Function
60.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
61.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
62.

Which equation is in Slope Intercept Form

a)

m=x-b

b)

y=b+x

c)

y=mx+b

d)

y=bx+m

63.

X is the ______ part of the equation

a)

Input

b)

Output

64.

Which value is the y-intercept in the equation:

y= 2x -2

a)

2

b)

-2

c)

1

65.

What is the slope intercept form of the function graphed below?

a)

y = 1/3 x +2

b)

y = - 1/3 x + 3

c)

y = 2 x + 1/3

66.

The graph of a linear function has a slope of 1/4 and passes through the point (1, 3). What is the y-intercept of the function?

a)

b = 4

b)

b = 11/4

67.

What is the y-intercept of the function that was used to generate the t-chart shown?


Hint: Y-intercept is the y value when x=0.

a)

b = 3

b)

b=4

c)

b=2

68.

What is the y-intercept of the graph below?

a)

b = 3

b)

b = -3

c)

b = 3/2

69.

"m" or "Slope" is the ___________ of the line

a)

rate of change (Slope)

b)

positive part

c)

negative part

70.

Y or f(x) is the ________ part of the equation

a)

Output

b)

Input

71.

b stands for the _____________ in the equation

a)

y-intercept

b)

Slope

c)

x-intercept

72.

What is the y-intercept of the function that was used to generate the t-chart shown?


Hint: b= 2 & m=1/3

a)

y=1/3 x + 2

b)

y=2 x + 1/3

73.

Evaluate f(-2) if f(x) = x+3


Hint: Remember your order of operations. Careful with Negatives.

a)

-1

b)

1

c)

5

74.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

75.

Given h(x) = 5 - 9x, find h(8).


Hint: Remember your order of operations.

a)

h(8) = -360

b)

h(8) = -67

76.

What is the slope of the function that was used to generate the t-chart shown?


Hint: Slope is the m = change in y/change in x = ( y2-y1) / (x2-x1)

a)

b = 3

b)

b=1

c)

b=1/3

77.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
78.
Which of the following are ways to solve systems of equations? 
a)
Graphing
b)
Substitution
c)
Elimination
d)
All of the above
79.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
80.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
81.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
82.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
83.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
84.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
85.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
86.
Parallel lines have the same slope with a different y-intercept and how many solutions?
a)
One
b)
No
c)
Infinite
87.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 
a)
Intersecting lines
b)
Same line
c)
Parallel lines
88.
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. 
89.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
90.
The solution to this system is...
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
(-4, -2)
91.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
92.
When a the same line is graphed twice on a coordinate plane, has how many solutions?
a)
One solution
b)
Infinite solutions
c)
No solution
93.
Intersecting lines have how many solutions?
a)
One solution
b)
No solutions
c)
Infinite solutions
94.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

95.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

a)

(0, 2)

b)

(2, 0)

c)

(2, -2)

d)

(-2, -2)

e)

(-2, 2)

96.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(0, 3)

b)

(3, 0)

c)

(0, -3)

d)

(-3, 3)

e)

(-3, 0)

97.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
98.
What is the solution to the system?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
99.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
100.
Which of the following are ways to solve systems of equations? 
a)
Graphing
b)
Substitution
c)
Elimination
d)
All of the above
101.
Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
102.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
103.
y = -6x + 5
-2x + y = 5
a)
(-3, -6)
b)
(-6, 3)
c)
(0, 5)
d)
(-3, 5)
104.
A system of linear equations is... 
a)
Math Magic
b)
One Equation
c)
Always more than 2 equations
d)
A set of 2 or more equations
105.
a)
y < 5x + 1 
b)
y > 5x + 1 
c)
y ≤ 5x + 1 
d)
y ≥ 5x + 1  
106.
a)
y < -2x + 3 
b)
y > -2x + 3 
c)
y ≤ -2x + 3 
d)
y ≥ -2x + 3 
107.
a)
y < -x - 5
b)
y > -x - 5
c)
y ≤ -x - 5
d)
y ≥ -x - 5
108.
a)
y < -4 
b)
y > -4
c)
y ≤ -4 
d)
y ≥ -4 
109.
a)
y < 2x - 5
b)
y > 2x - 5
c)
y ≤ 2x - 5
d)
y ≥ 2x - 5
110.
a)
x < - 5
b)
x > - 5 
c)
x ≤ - 5
d)
x ≥ - 5
111.
a)
y < 4/3x - 4
b)
y > 4/3x - 4
c)
y ≤ 4/3x - 4
d)
y ≥ 4/3x - 4
112.
a)
y < 4
b)
y > 4
c)
y ≤ 4
d)
y ≥ 4
113.
a)
y  < -2/5x - 4 
b)
y  > -2/5x - 4 
c)
y  ≤ -2/5x - 4 
d)
y  ≥ -2/5x - 4 
114.
a)
y < -3/4x - 2 
b)
y > -3/4x - 2 
c)
y ≤ -3/4x - 2 
d)
y ≥ -3/4x - 2 
115.
a)
x < 4
b)
x > 4
c)
x ≤ 4
d)
x ≥ 4
116.
a)
y < 3/5x - 5
b)
y > 3/5x - 5
c)
y ≤ 3/5x - 5
d)
y ≥ 3/5x - 5
117.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
118.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
119.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
120.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
121.
Consider the function y<2x+3. 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.
122.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
123.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
124.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
125.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
126.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

127.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
128.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
129.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 3
d)
y > 3x   and  y < -2x + 4
130.
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)
131.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
132.
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
133.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
134.
8+5∙4+(7-3)
a)
32
b)
23
c)
25
d)
12
135.
75 ÷ 5 × 9 – 9
a)
126
b)
226
c)
711
d)
300
136.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
137.
91 + 27 ÷ (72 ÷ 24)
a)
100
b)
96
c)
90
d)
127
138.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
139.
Solve the following:  
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
140.
True or False?
2 + (4 x 5 - 2) + 8 = 28
a)
True
b)
False
141.
Solve the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
142.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
143.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
144.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
145.
2 + (9- 4)
a)
16
b)
77
c)
79
146.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
147.
What does the E in PEMDAS stand for?
a)
Exceptional
b)
Egg
c)
Exponent
148.
2 + (9- 4)
a)
16
b)
77
c)
79
149.
7(32)=
a)
63
b)
62
c)
50
d)
27
150.
In PEMDAS, what does the M stand for?
a)
Masterful
b)
Mad
c)
Math
d)
Multiplication
151.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
152.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
153.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents