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WorksheetsAlgebra 1 Final Review
Total questions: 117
Worksheet time: 3hrs 8mins
Name
Class
Date
1.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
2.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
3.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
4.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
5.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures.
Which system represents this situation?
Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
6.
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?
Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
7.
Chase wants to divide $400 between Dylan and Josh. He wants to give Josh 25 more dollars than Dylan how much should each person get?
a)
Dylan $200
Josh $200
Josh $200
b)
Dylan $190
Josh $210
Josh $210
c)
Dylan $195
Josh $205
Josh $205
d)
Dylan $187.50
Josh $212.50
Josh $212.50
8.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
9.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
10.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
11.
Solve the equation:
3(x - 1) = 2x + 9
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
12.
Solve:
8 - 3k < 8(1 - 7k)
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
13.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
14.
Estimate the correlation coefficient.
a)
r=-1
b)
r=-0.5
c)
r=0.5
d)
r=1
15.
Estimate the correlation coefficient.
a)
r=-1
b)
r=-0.5
c)
r=1
d)
r=0.5
16.
Estimate the correlation coefficient.
a)
r=0
b)
r=-1
c)
r=1
d)
r=2
17.
Match the scenario to its corresponding graph:
Ashley increased her speed as she took off from a stoplight until she saw another stoplight. When she saw the next stoplight, she decreased her speed until she came to a complete stop.
a)
A
b)
B
c)
C
18.
Match the scenario to its corresponding graph:
John was going the speed limit for 10 minutes until he saw the speed limit increased. He then started going faster to reach the new speed.
a)
A
b)
B
c)
C
19.
Write the explicit rule for this situation.
a)
f(n) = 35 + 3(n − 1)
b)
f(n) = 35 −3(n − 1)
c)
f(n) = 3 + 35(n − 1)
d)
f(n) = −3 + 35(n − 1)
20.
Select the explicit rule that represents the sequence.
a)
11 - 68(n - 1)
b)
68 - 9(n - 1)
c)
68 - 11(n - 1)
d)
9 + 68(n - 1)
21.
Select the explicit rule that represents the sequence.
a)
6 + 5(n - 1)
b)
4 + 6(n - 1)
c)
6 - 4(n - 1)
22.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
23.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
24.
Evaluate f(x)=-2x+13 for f(10)
a)
-7
b)
1
c)
-8
d)
7
25.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
26.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
27.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
28.
Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?
a)
$6
b)
$8
c)
$10
d)
$12
29.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
30.
Given the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
31.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
32.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
33.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
34.
What type of function?
a)
Absolute Value
b)
Linear
c)
Square Root
d)
Quadratic
35.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
36.
What function family do I belong to?
a)
Linear
b)
Exponential
c)
Quadratic
d)
Linear Absolute Value
37.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Absolute Value
38.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
39.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Absolute Value
40.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
41.
A bacterial colony doubles in size every 6 hours. There are 90 bacteria present initially. Estimate the population size after 80 hours. What is the equation that models this problem?
a)
y= 90(2)6/80
b)
y= 90(6)80/2
c)
y= 2(90)6/80
d)
y= 90(2)80/6
42.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
43.
M=T-R
solve for T
solve for T
a)
T=M+R
b)
T=M-R
c)
T=-R-M
d)
T=RM
44.
Which of the following equations matches vertex form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
45.
a)
y = -2(x - 3)2 + 4
b)
y = 2(x - 3)2 + 4
c)
y = -2(x + 3)2 + 4
d)
y = -2(x - 3)2 - 4
46.
a)
y = 2(x - 2)2 + 4
b)
y = 2(x + 2)2 - 4
c)
y = -2(x + 2)2 - 4
d)
y = 2(x - 2)2 - 4
47.
a)
y = -(x - 1)2 - 2
b)
y = -(x - 1)2 + 2
c)
y = -(x + 1)2 - 2
d)
y = -(x +2)2 - 1
48.
a)
y = 2(x + 1)2 + 1
b)
y = -2(x - 1)2 - 1
c)
y = -2(x + 1)2 + 1
d)
y = -2(x - 1)2 + 1
49.
a)
y = 2(x + 1)2 + 1
b)
y = -2(x - 1)2 - 1
c)
y = -2(x + 1)2 + 1
d)
y = -2(x - 1)2 + 1
50.
a)
y = 2(x + 1)2 + 1
b)
y = -2(x - 1)2 - 1
c)
y = -2(x + 1)2 + 1
d)
y = -2(x - 1)2 + 1
51.
a)
y = 2(x + 1)2 + 1
b)
y = -2(x - 1)2 - 1
c)
y = -2(x + 1)2 + 1
d)
y = -2(x - 1)2 + 1
52.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
53.
Match the correct equation with the given graph.
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
54.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
55.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = -√(x + 3)
c)
y = -√(x - 3)
d)
y = -√(x) + 3
56.
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
a)
y=25x
b)
y=20x+5
c)
y=5x+20
d)
y=5x
57.
In an equation or expression, the number that is being multiplied by the variable is better known as what?
a)
Coefficient
b)
Term
c)
Variable
d)
Expression
58.
Define constant.
a)
The unknown value
b)
The number that does not change; stands by itself.
c)
Parts of the expression
d)
Equation
59.
This does not contain an equal sign...
a)
Constant
b)
Variable
c)
Equation
d)
Expression
60.
How many students take the bus to school?
a)
35
b)
20
c)
10
d)
15
61.
How many mountain bikes were sold?
a)
22
b)
28
c)
16
d)
6
62.
How many people voted for red as their favorite color?
a)
100
b)
2
c)
4
d)
9
63.
How many votes did reading and social studies receive together?
a)
9
b)
11
c)
13
d)
15
64.
About what percent of the people live in Friendship? (Rounded to the nearest whole number)
a)
46%
b)
100%
c)
25%
d)
34%
65.
Which city is the least popular?
a)
Bently
b)
Greatville
c)
Rivertop
d)
Friendship
66.
About what percent of the population live in the least popular town?
a)
2%
b)
18%
c)
41%
d)
22%
67.
What is the first step to solve this equation:
-3x + 11 = 44
-3x + 11 = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
68.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
69.
Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
70.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
71.
Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x
5 - 2(x - 7) = x + 1 + 3x
a)
Distributing -2 to (x - 7)
b)
Combining x and 3x
c)
Subtracting 1 from both sides
d)
5 - 2
72.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
73.
(g + 4)(g + 5)
a)
g2 + 9g + 20
b)
g2 + 20
c)
g2 + 9g + 9
d)
g2 + 11g + 20
74.
(p - 3)(p - 7)
a)
p2 - 10p + 21
b)
p2 + 21
c)
p2 - 4p + 21
d)
p2 -10p - 21
75.
(2c - 7)(c + 4)
a)
2c2 + c - 28
b)
2c2 + 15c - 28
c)
2c2 - c - 28
d)
c2 - 3c - 28
76.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
77.
Find the product:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
78.
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
79.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
80.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
81.
Solve for the values of x:
(x + 2)(x - 3) = 0
(x + 2)(x - 3) = 0
a)
{ 2, 3 }
b)
{ -2, -3 }
c)
{ 2, 3 }
d)
{ -2, 3 }
82.
a)
A
b)
B
c)
C
d)
D
83.
a)
A
b)
B
c)
C
d)
D
84.
a)
A
b)
B
c)
C
d)
D
85.
What is the DOMAIN?
a)
(-∞, ∞)
b)
(-2, ∞)
c)
[-2, ∞)
d)
(-∞, 0) U (0, ∞)
86.
What is the RANGE?
a)
(-∞, ∞)
b)
(-2, ∞)
c)
[-2, ∞)
d)
(-∞, 0) U (0, ∞)
87.
What is the range of the function?
a)
(-∞, -2.5]
b)
(-∞, -2.5)
c)
(2.5, ∞)
d)
(-∞, ∞)
88.
Is -2 a range value in the relation graphed?
a)
Yes
b)
No
89.
True or False:
10 is in the domain of the function graphed.
10 is in the domain of the function graphed.
a)
True
b)
False
90.
What type of function is given in the table?
a)
linear
b)
quadratic
c)
absolute value
d)
exponential
91.
What type of function is given in the table?
a)
linear
b)
quadratic
c)
absolute value
d)
exponential
92.
What type of function is given in the table?
a)
linear
b)
quadratic
c)
absolute value
d)
exponential
93.
What type of function is given in the table?
a)
linear
b)
quadratic
c)
absolute value
d)
exponential
94.
Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.
a)
-18x2 + 2.11x + 4.21
b)
-.06x2 +1.06x + 7.9
c)
-6x2 +1.06x + 79
d)
-.12x2 + 2.11x + 4.22
95.
Find the best fitting Quadratic model for the data
a)
-.26x2-17.3x+222.8
b)
-.26x2+22.59x+23.02
c)
2.6x2+22.9x+20.03
d)
2.6x2+2.3x+23.02
96.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
97.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
98.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
99.
Does the equation open or or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
100.
What form is this equation in?
2x2+4x-3=0
2x2+4x-3=0
a)
general form
b)
vertex form
c)
factored form
d)
none of these
101.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
102.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
103.
a)
A
b)
B
c)
C
d)
D
104.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
105.
Use the graph of f(x) to determine the real solutions to f(x)=0.
a)
-10
b)
2, 5
c)
0, 7
d)
no real solution
106.
Use the graph of f(x) to find the real solutions of f(x)=0.
a)
0, 5
b)
-2
c)
0, -4
d)
no real solution
107.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
108.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
109.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
110.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
111.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
112.
a)
Function
b)
Not a Function
113.
a)
Function
b)
Not a Function
114.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
115.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
116.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
117.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
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