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WorksheetsAlgebra 1 State Test Review
Total questions: 100
Worksheet time: 4hrs 18mins
Name
Class
Date
1.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
2.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
3.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
4.
Find the x-intercept and y-intercept for this graph.
a)
(0,3) (0,6)
b)
(3,0) (0,6)
c)
(3,0) (6,0)
d)
(6,0) (0, 3)
5.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
6.
Which of the following best describes causation?
a)
The temperate gets warmer and more student pass their math test.
b)
The more a person exercises the more calories they burn.
c)
Eating bread and higher death rates
d)
Day light saving time and more people wear blue socks
7.
Find the line of best fit for the data given above.
a)
y = 2.4x + 128
b)
y = -2.4x + 128
c)
y = -2.4x - 128
d)
y = 2.4x - 128
8.
Find the key features for the linear equation
2x + 3y = 12
2x + 3y = 12
a)
slope (2/3), y-intercept: 6, zero: 4
b)
slope (2/3), y-intercept: 4, zero: 6
c)
slope -(2/3), y-intercept: 4, zero: 6
d)
slope -(2/3), y-intercept: 6, zero: 4
9.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
10.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
11.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
12.
Add. (3x + 8) + (4x2 - 8)
a)
4x2 + 16
b)
4x + 3x
c)
4x2 + 3x
d)
4x2 +3x -16
13.
Multiply. (x - 5)2
a)
x2 - 25
b)
x2 - 10x + 25
c)
x2 + 10x - 25
d)
x2 + 25
14.
Simplify. (x2y ) (x5y3)
a)
xy
b)
x7y3
c)
x10y3
d)
x7y4
15.
Which equation best represents the relationship between x and y in the table shown?
a)
y=-3x-10
b)
y=-1/3x-10
c)
y=-10x+10
d)
y=-4x-10
16.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
17.
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
a)
C = 25+40h
b)
C = 65+h
c)
C = 65h
d)
C = 25h +40
18.
You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model?
a)
y=13x - 7.5
b)
y=13x + 7.5
c)
y=20.5x
d)
y=7.5x + 13
19.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 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.
20.
What is the solution to the system.
a)
(-6, 7)
b)
(5, 5)
c)
(-3, 5)
d)
(-9, -7)
21.
What is the slope of the line that passes through the points
(21, 40) and (-7, -8)
(21, 40) and (-7, -8)
a)
7/12
b)
12/7
c)
-12
d)
-1/12
22.
The length of spring can be modeled by the graph of the linear function shown. What is the rate of change of length of the spring with respect to the weight?
a)
3 inches per pound
b)
2 inches per pound
c)
0.5 inches per pound
d)
8 inches per pound
23.
Which function best models the data?
a)
y=4x
b)
y=x+4
c)
y=4x+1
d)
x=4y
24.
Which expression is equivalent to
12m + 18n ?
Select all that apply.
a)
4(3m + 5n)
b)
3m(4 + 6n)
c)
3(4m + 6n)
d)
6(2m + 3n)
25.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
26.
Factor
r2 -16r + 60
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
27.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
28.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
29.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
30.
Solve
2x² - 3x - 2 = 0
2x² - 3x - 2 = 0
a)
x = 1, x = -1
b)
x = -1/2, x = 2
c)
x = 1/2, x = 2
d)
x = 1/2, x = 1
31.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
32.
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)
33.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
34.
a)
Function
b)
Not a Function
35.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
36.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
37.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
38.
Identify the function shown shown
.
.
a)
Linear
b)
Quadratic
c)
Exponential
d)
Not answering
39.
Is the graph linear, exponential, quadratic, or other?
a)
Linear
b)
Exponential
c)
Quadratic
d)
Other
40.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
41.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
42.
Consider the first six terms of this sequence: 1, 3, 9, 27, 81, 243, . . .
What is a1 ? What is a3 ?
a)
a1 is 1 and a3 is 9
b)
a1 is 3 and a3 is 9
c)
a1 is 27 and a3 is 9
43.
Which equation is equivalent to 6x – 3y = 12?
a)
y = 2x + 4
b)
y = 2x - 4
c)
y = -2x + 4
d)
y = -2x - 4
44.
What is the value of the y-intercept of the function graphed?
a)
2
b)
-2
c)
6
d)
0
45.
The graph shows the distance to be traveled by a car from the time the driver leaves home, to the time he reaches his destination. Which of the following best describes the rate of change of the segment?
a)
The car is traveling at 60 km/hr
b)
The car is traveling at 40 km/hr
c)
The car is traveling at 30 km/hr
d)
The car is traveling at 20 km/hr
46.
Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b, on her gift card after n lattes. What is the meaning of the x-intercept?
a)
Nevaeh’s card is empty after 10 lattes
b)
Nevaeh has $25 on her gift card
c)
Each latte is $2.50
d)
Nevaeh has no money left on her card after 25 lattes
47.
What is the domain of the function?
a)
-4 < x < 4
b)
-4 ≤ x < 4
c)
-4 < x ≤ 4
d)
-4 ≤ x ≤ 4
48.
a)
F
b)
G
c)
H
d)
J
49.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
50.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
51.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
52.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
53.
What was the average rate of change in the population from 1900 to 1990?
a)
175 million people/year
b)
1.94 million people/year
c)
2.13 million people/year
d)
-1 million people/year
54.
Evaluate f(x)=-2t2+ 1 for f(2)
a)
9
b)
17
c)
-17
d)
-7
55.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
56.
Solve the inequality
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
57.
Solve:
8m - 9 > 71
8m - 9 > 71
a)
m > 10
b)
m > 1
c)
m < 1
d)
m > -48
58.
Solve:
2x + 3 ≤ 15
a)
x ≤ 6
b)
x ≥ -6
c)
x ≤ 9
d)
x ≤ -9
59.
Solve the inequality:
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
60.
What is the solution to the system of equations provided?
a)
The system has no solution
b)
There are many solutions
c)
(2,2)
d)
(2,-2)
61.
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
62.
Sandra sells necklaces at a school craft fair . She uses the equation P = 7 .5n – (2 .25n + 15) to determine her total profit at the fair . Based on this equation, how much does she charge for each necklace?
a)
$2.25
b)
$7.50
c)
$15.00
d)
$17.25
63.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
64.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
65.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
66.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
67.
Solve using the quadratic formula
a)
A
b)
B
c)
C
d)
D
68.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
69.
a)
F
b)
G
c)
H
d)
J
70.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
71.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
72.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
73.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
74.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
75.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds.
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.
76.
What are the zeros for the quadratic function?
a)
(-6, 0) and (14, 0)
b)
(-50, 0) and (14, 0)
c)
(-6, 0) and (-50, 0)
d)
(-50, 0) and (-60, 0)
77.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?
a)
10 feet
b)
19 feet
c)
13 feet
d)
16 feet
78.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
79.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
80.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
81.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
82.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
83.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
84.
The expression 1350(1.05)t models the average wages, in dollars, in the US as a function of the number of years since 1930. What does 1.05 represent in this expression?
a)
The average wages in the US were about $1.05 in 1930.
b)
The averages wages in the US increase by about 5% each year.
c)
The average wages double every 1.05 years.
85.
Does the function: f(x) = 200(.13)x show growth or decay?
a)
Growth
b)
Decay
c)
It stays constant
d)
Bananas
86.
What is the percentage of decay for the following function f(x) = 200(.67)x?
a)
200%
b)
67%
c)
33%
d)
x
87.
What is the percentage of growth for the following function f(x) = 200(1.67)x?
a)
200%
b)
67%
c)
33%
d)
x
88.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the population in 1990?
a)
0 people
b)
It doesn't say
c)
I don't know
d)
6191
89.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
90.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
91.
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
92.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
93.
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
94.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
a)
7x + 13y < 81
b)
7x + 13y ≥ 81
c)
7x + 13y ≤ 81
d)
7x + 13y > 81
95.
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
96.
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)
97.
Match
a)
y ≥ x - 1 and y < -x + 4
b)
y < -x - 1 and y ≥ x + 4
c)
y > -x - 1 and y ≥ x + 4
d)
y > x - 1 and y ≥ -x + 4
98.
Match
a)
y > -5x - 1/2 and y ≥ -1/2x - 4
b)
y > -1/5x - 1/2 and y ≤ -2x - 4
c)
y ≥ -5x - 1/2 and y ≤ -1/2x - 4
d)
y < -1/5x - 1/2 and y ≥ -2x - 4
99.
Match
a)
y < x−2
y < 3
y < 3
b)
y > -x+2
y > 3
y > 3
c)
y < -x+2
y < 3
y < 3
d)
y < -x+2
y > 3
y > 3
100.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
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