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WorksheetsAlgebra 1st Semester Review
Total questions: 100
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
2.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
3.
Set up and the following.
Jackie makes a monthly salary of $1500 plus a 25% commission on her sales. How much does she need to sell in order to make $9000 for the month.
Jackie makes a monthly salary of $1500 plus a 25% commission on her sales. How much does she need to sell in order to make $9000 for the month.
a)
1500 + .25x = 9000
b)
1500x + 25 = 9000
c)
1500 + 25x = 9000
d)
1500x + .25 = 9000
4.
Solve and Graph
77 ≤ 5 + 8n
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
5.
Solve:
-18 - 6x = 6(1 + 3x)
-18 - 6x = 6(1 + 3x)
a)
-1
b)
1
c)
No Solution
d)
All real numbers
6.
Which of the following is a solution to -4 + 2x < 28?
a)
17
b)
16
c)
15
d)
20
7.
Joaquin has a $50 gift card from Pizza Palace. All pizzas at Pizza Palace cost $7 each. Joaquin wants to give the driver a $5 tip for delivering the pizza. Which inequality could be used to determine the possible number of pizzas, p, he could order with his gift card, including the tip?
a)
7p + 5 ≤ 50
b)
(7 + 5)p ≤50
c)
7p + 5 ≥ 50
d)
7p + 5 < 50
8.
8 - 9t = 21t - 17
a)
t = 6/5
b)
t = 5/6
c)
t = 1
9.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
10.
Select the explicit rule that represents the sequence.
a)
f(n) = 11 - 68(n - 1)
b)
f(n) = 68 - 9(n - 1)
c)
f(n) = 68 - 11(n - 1)
d)
f(n) = 9 + 68(n - 1)
11.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
12.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
13.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
14.
Select the explicit rule that represents the sequence.
a)
6 + 5(n - 1)
b)
4 + 6(n - 1)
c)
6 - 4(n - 1)
15.
Write the recursive formula of 13, 9, 5...
a)
an=an-1-4
b)
an=an-1+3
c)
an=an-1-5
d)
an=an-1+4
16.
If a4=20 and d=3. What is the value of a1 ?
a)
a1 = 60
b)
a1 = 23
c)
a1 = 14
d)
a1 = 11
17.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
18.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
19.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
20.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
21.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
22.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
23.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
24.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
25.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
26.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
27.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
28.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
29.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
30.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
31.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
32.
Find the slope of the line that passes through
(10, -8) and (1, 12).
(10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
33.
What is the slope of y = 1/3x?
a)
3
b)
1/3
c)
4
d)
9
34.
What is a synonym for slope?
a)
Length
b)
Width
c)
Steepness
d)
Area
35.
What is a synonym for slope?
a)
Rate of Change
b)
Linear
c)
Equation
d)
y-intercept
36.
What is the slope ratio?
a)
run/rise
b)
rise/run
37.
What is the slope formula?
a)
(y2-y1) / (x2-x1)
b)
(x2-x1) / (y2-y1)
c)
(x1-y1) / (x2-y2)
d)
(x2-y1) / (x1-y2)
38.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
39.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
41.
Calculate the slope!
a)
m=5/6
b)
m=-5/6
c)
m=6/5
d)
m=-6/5
42.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -2x + 2
d)
Cannot be Determined
43.
Is this a linear equation?
a)
Yes
b)
No
44.
Is this a linear equation?
a)
Yes
b)
No
45.
What is the y-intercept in the equation x + 2y = 4
a)
0
b)
2
c)
4
d)
KC Royals
46.
Definition: the ratio of a vertical change (rise) over a horizontal change (run)
a)
Function
b)
Relation
c)
Slope
d)
Quadrant
47.
What is the range of the function?
a)
R:{y is less than or equal to 3}
b)
R:{y is greater than or equal to 3}
c)
R:{all real numbers}
d)
R:{y is between and including -6 and 3}
48.
What is the domain and range?
a)
D: {–3, 0, 7, 21}
R: {–2, 0, 3, 10}
R: {–2, 0, 3, 10}
b)
D: {–2, 0, 3, 10}
R: {–3, 0, 7, 21}
R: {–3, 0, 7, 21}
c)
D: {–2, 3, 10}
R: {–3, 7, 21}
R: {–3, 7, 21}
d)
D: {3, 10, –2, 7, 21, –3}
R: {0}
R: {0}
49.
Order functions E, F, G, and H from least to greatest rate of change.
a)
E F G H
b)
F H G E
c)
G E F H
d)
H G E F
50.
Find the 2 missing y values.
a)
-8 & -12
b)
8 & 12
c)
-8 & 12
d)
8 & -12
51.
Find the range of the function y=7x-1 when the domain is {-1, 0, 1}
a)
{1, 6, 8}
b)
{-8, -1, 6}
c)
{-8, -6, 0}
52.
What is the slope?
y=mx+b
y=mx+b
a)
m
b)
x
c)
y
d)
b
53.
What is the y-intercept?
y=-2x
y=-2x
a)
-2
b)
2
c)
-2x
d)
0
54.
which equation produces the line on the graph
a)
y = x + 3
b)
y = 3x - 3
c)
y = -x - 3
d)
y = -3x + 3
55.
What type of correlation does this scatter plot represent?
a)
positive linear correlation
b)
negative linear correlation
c)
no correlation
d)
nonlinear correlation
56.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
57.
As the age of the car increases, its value decreases. Which scatter plot represents this relationship?
a)
A
b)
B
c)
C
d)
D
58.
equations written in y = mx + b form
a)
rate of change
b)
slope
c)
slope-intercept form
d)
standard form
59.
a)
440 turtles
b)
40 turtles
c)
150 turtles
d)
90 turtles
60.
f(x) = 2x - 4 find f(x+1)
a)
2x+4
b)
2x+2
c)
2x-6
d)
2x-2
61.
True or false:
The root, x-intercept, and zero are all the same thing
The root, x-intercept, and zero 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
62.
Name the x- and y-intercepts for the equation:
5x - 3y = 15
5x - 3y = 15
a)
(3, 0) and (0, -5)
b)
(0, 3) and (-5, 0)
c)
(5, 15) and (15, 3)
d)
(0, -3) and (5, 0)
63.
Which of the following is in slope-intercept form?
a)
y=10x-7
b)
y-5=3(x-1)
c)
5x-y=12
d)
6x+2y-15=0
64.
Convert to slope intercept
a)
y = 1/ 3 x − 2
b)
y = -1/ 3 x − 2
c)
y=2x -6
d)
y=2x+6
65.
Write the equation of the line.
Slope = -4, passing through (-1, 5)
Slope = -4, passing through (-1, 5)
a)
y+5 = -4(x-1)
b)
y-5 = -4(x+1)
c)
y-5 = 4 (x-1)
d)
y = -4x - 9
66.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
67.
What would the graph of the equation x = -4 look like?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
68.
What would the graph of y = 8 look like?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
69.
If a line goes through the points (4, 5) and (4, 7), what type of line is it?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
70.
Which type of line runs parallel to the y-axis?
a)
Horizontal line
b)
Vertical line
c)
Both
d)
Neither
71.
Slopes of perpendicular lines are...
a)
opposite (sign) reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
72.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
73.
A line is perpendicular to
y = 2x - 7.
What is the slope of this line?
y = 2x - 7.
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
74.
Write an equation that is parallel to the line
y = x - 5 through (1, -2)
y = x - 5 through (1, -2)
a)
y = -3x +1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x +1
75.
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?
a)
y=2x+7
b)
y=7-2x
c)
y=2-7x
d)
y=7x+2
76.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -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)
77.
Write a linear function with the given values:
f(0) = 2
f(5) = -3
f(0) = 2
f(5) = -3
a)
f(x) = x + 2
b)
f(x) = x - 3
c)
f(x) = -x - 2
d)
f(x) = -x + 2
78.
Given the three equations, decide which answer describes them.
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
a)
A is parallel to C
b)
B is parallel to A
c)
C is perpendicular to A
d)
B is perpendicular to C
79.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
80.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
81.
What is another name for k?
a)
y- intercept
b)
x
c)
slope
d)
x- intercept
82.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
83.
Is this proportional?
a)
yes
b)
no
84.
Estimate the correlation coefficient.
a)
r=0
b)
r=-1
c)
r=1
d)
r=2
85.
Describe the relationship between the variables.
a)
Strong positive correlation
b)
Strong negative correlation
c)
Weak negative correlation
d)
Weak positive correlation
86.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
87.
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
88.
r=-0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
89.
The correlation coefficient is a number "r" such that:
a)
-1<r<1
b)
-1>r>1
c)
-1≤r≤1
d)
-1≥r≤1
90.
Which with is the line of best fit?
a)
Black
b)
Orange
c)
Red
d)
Blue
91.
Estimate the correlation coefficient.
a)
r=-1
b)
r=-0.5
c)
r=1
d)
r=0.5
92.
A trend line that shows the most accurate relationship between x and y describes...
a)
linear regression
b)
no correlation
c)
trend line
d)
line of best fit
93.
Which sentence describes the relationship shown on this scatterplot?
a)
As the temperature decreases, the visitors increase.
b)
As the temperature increases, the number of visitors increases.
c)
As the visitors increase, the temperature decreases.
d)
No correlation
94.
The linear regression equation is y = 61.93x - 1.79. According to the equation, the y-intercept can be interpreted as:
a)
After 0 hours of driving, they went -1.79 miles.
b)
They are driving -1.79 miles per hour.
c)
They drove 1.79 miles total.
d)
They drive 1.79 hours total.
95.
Find the equation of the line of best fit for the given data
a)
y = 4.19 + 163.41x
b)
y = 4.19 - 163.41x
c)
y =163.41 - 4.19x
d)
y = -163.41+ 4.19x
96.
Wild turkeys can run at speeds of up to ____
a)
15 mph
b)
25 mph
c)
30 mph
d)
40 mph
97.
Turkeys can drown if they look up in the rain.
a)
True
b)
False
98.
What is a female turkey called?
a)
hen
b)
chick
c)
cuckoo
d)
genius
99.
What is a male turkey called?
a)
larry
b)
harry
c)
tom
d)
bob
100.
Bonus question: What are you most thankful for?
a)
health
b)
family
c)
friends
d)
all of the above
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