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WorksheetsAlgebra 1 Semester 1 Review
Total questions: 160
Worksheet time: 7hrs 46mins
Which of the following graphs best describes a system with no solution?
In which step does a mistake first appear?
Step 1
Step 2
Step 3
Step 4
Which inequality is equivalent to 7x - 2y > 8 ?
Which coordinate pair is in the solution set for y < -6x + 1?
(1, 0)
(1, -1)
(0, 1)
(-1, 1)
An architect is designing an office building with n floors that will have an FM radio antenna 15.85 meters tall on its roof. Each floor of the building will be 3.9 meters high. Which function can be used to find the total height of the building in meters, including the FM antenna?
h(n) = 15.85n + 3.9
h(n) = 3.9n + 15.85
h(n) = 3.9n - 15.85
h(n) = 19.75n
What is the range of the function shown?
{-7, -2, 0, 5}
{-9, -4, -1}
{-9, -7, -4, -2, -1, 0, 5}
{-1}
Solve.
3
5
1/3
1/5
Which of the following is equivalent to 3x - 4y = 6?
y = -6/7x
y = -3/4x
y = 4/3x + 2
y = 3/4x - 3/2
Which graph represents -3x + 5y = -15
Which inequality describes all of the solutions to the given inequality?
x < -9
x > 3
x < -3
x > 7
A furnace repair person charges an initial fee of $80 plus $30 per hour to do repairs. After how many hours would the cost of the repair be at least $320?
6 hours
7 hours
8 hours
9 hours
Solve the equation.
z = 1
z = -1, z = -5
z = 1, z = - 5
z = -5
Which compound inequality is represented by the graph?
-1 < x - 1 < 4
-1 < x + 1 < 4
-2 < x - 1 < 3
-2 < 2x < 3
Solve the equation. 10 (x -1) = -2x + 62
6
-6
12
4
Write an equation in slope intercept form.
y = -3x + 3
y = 3x - 3
y = -3/2x + 3
y = 3/2x + 3
Describe the transformations for this graph compared to the parent graph.
flipped, 1 unit down, stretched
flipped, 1 unit right, stretched
flipped, 1 unit left, stretched
flipped, 1 unit up, stretched
Determine the number of solutions to the equation.
x = -6
y = 6
no solution
infinitely many solutions
-6x + 5 = -6x + 5
no solution
two solutions
one solution
infinitely many solutions
Which linear function f has the values f(0) = 2 and f (-1) = 0?
f(x) = -2x + 2
f(x) = 2x + 2
f(x) = 1/2x - 2
f(x) = -1/2x - 2
Which of the following is the equation of the line that passes through the point (1, 2) and has a slope of 2?
y + 2 = 2 (x + 1)
y - 2 = 2 (x + 1)
y - 2 = 2 (x - 1)
y - 1 = 2 (x - 1)
Which of the following lines are parallel to y = -1/2x + 4?
y = 2x + 4
y = 1/2x + 2
y = 1/2x + 4
y = -1/2x + 7
y = -1/2x
Your work truck can haul at most 1000 pounds. The inequality 10x + 50y < 1000 represents the number x of bags of potting soil and the number y of bags of mulch your truck can haul. Can you haul 20 bags of potting soil and 20 bags of mulch?
yes
no
Solve:
3(x - 6) = 4x - (8 + 6x)
x = 2
x = 0
No Solution
Infinitely Many Solutions
x = -1/2
If f(x) = 27 - 15x - 3x2, find f (-6).
9
-124
-96
-3
24
What is the domain of the function shown on the graph?
-2 < x ≤ 2
-2 ≤ x < 2
-4 ≤ f(x) < 4
-4 < f(x) ≤ 4
What is the range of the function shown on the graph?
-2 < x ≤ 2
-2 ≤ x < 2
-4 ≤ f(x) < 4
-4 < f(x) ≤ 4
Which situation best represents causation?
If you exercise, the calories burned per minute increases.
As the outdoor temperature increases, the number of movie tickets increases.
Which situation best represents causation?
The number of fireman fighting a fire increases as the size of the fire increases.
The decrease in the number of pirates lead to global warming.
Which of the following groups pf points are a solution set of the following inequality?
3x + 12y < -36
(0, 3) and (4, -6)
(1, 2) and (0, 4)
(0, -4) and (-2, -5)
What equation is parallel to the y-axis and passes through the point (-4, 5)?
x = -4
y = -4
x = 5
y = 5
Determine the rate of change shown in the graph.
40
-20/3
-3/20
20/3
Write the equation of the line of the best fit for the data.
y = 3x + 1
y = x + 3
y = x + 1
y = 3x
Oceanside Bike Rental Shop charges 16 dollars plus $8.36 an hour for renting a bike. Write the equation that represents the total cost, C, in terms of the number of bike rental hours, h, purchased.
C = 8.36h + 16
h = 8.36C + 16
C = 16h + 8.36
h = 8.36C + 16
Describe the correlation coefficient r = -.86.
CHECK ALL THAT APPLY!
Postive
Negative
Weak
Strong
Describe the correlation coefficient r = .09.
CHECK ALL THAT APPLY!
Postive
Negative
Weak
Strong
Describe the correlation coefficient r = -.39.
CHECK ALL THAT APPLY!
Postive
Negative
Weak
Strong
Describe the correlation coefficient r = .89.
CHECK ALL THAT APPLY!
Postive
Negative
Weak
Strong
y = 5x - 4
Find the equation of the line in slope-intercept form.
y = - 1/4x - 3
y = 1/3x + 3
y = - 1/4x + 2
y = 1/3x - 3
Write equation of the line containing (4,2) and (3,5)
y = -3x + 14
y = 3x - 4
y = -3x - 4
y = -3x + 10
y = -1/3x + 9
Write the equation of the line that passes through the point (1, -1) and has a slope of -4.
y = -4x + 3
y = -4x - 3
y = -4x + 5
y = -4x - 5
Give the equation for the graph in slope-intercept form.
y = 5x - 3
y = 4x + 2
y = -2x + 5
y = -2x + 4
Write an equation in point-slope form for the line that passes through the given point with the slope provided.
(2, -1), m = -3
y - 1 = -3 (x + 2)
y + 1 = -3 (x - 2)
y - 2 = -3 (x + 1)
y + 2 = -3 (x - 1)
Write the equation in slope-intercept form.
y + 1 = 2(x - 2)
y = 2x - 2
y = 2x - 3
y = 2x - 4
y = 2x - 5
7x - 3x - 8 = 24
2(a + 4) = 2a - 8 + 4a
x = -6
x = -12
x = -12
Which set of ordered pairs is a function?
{(9,5), (10,5), (9,-5), (10,-5)}
{(3,4), (4,-3), (7,4), (3, 8)}
{(6,-5), (7, -3), (8, -1), (9, 1)}
{(2, -2), (5, 9), (5, -7), (1, 4)}
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
y=−|x+4|
A
B
C
D
4x+9y=28
-4x-y=-28
7x-9y=29
7x+2y=-15
Which equations below would be parallel to the graphed line?
y = 3x - 3
y = 1/3x + 3
y = -1/3x + 4
y = 1/3x - 11
y = -3x
Which equations below would be perpendicular to the line graphed?
y = 21x +5
y = -2x - 9
y = 2x + 2
y = -2x + 4
y = −21x+8
Perpendicular lines have _________________ slopes.
equal
opposite reciprocal
opposite
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
Which coordinates below are included in the solution set to the system graphed?
(-100, 2)
(2, -30)
(1, 12)
(-4, 1)
(0, 0)
What is f(-1) ?
(a)
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
A
B
A
B
A
B
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Which graph represents a function?
Which of the following is a function?
Select all the true statements about the line graphed.
f(2) = 0
f(4) = -3
3/2 is the slope of the line.
-2/3 is the slope of the line.
The y-intercept is (0, 3).
Select all the true statements about the line graphed.
f(4) = -2
3/4 is the slope of the line.
f(0) = 6.5
4/3 is the slope of the line.
What is the equation of the graph below?
y = 6x + 5
y = -2/3 x + 5
y = 3x + 5
y = - x + 3
What is the equation of the inequality below?
y≥2x −3
y≤23x −3
y > 2x −3
y < 2 3x −3
What is the equation of the inequality below?
y > 21x + 4
y < 1x +4
y ≥ 21x +4
y ≤5x −1
Given the function f(x) = 3x + 1 what is f(-2)?
-2
7
-5
-6
Given the function f(x) = -5x - 6 , what is f(-3)?
21
9
15
-15
What is the domain of the graph below?
−2<x<5
−2 ≤x<5
−3 < x < 1
−3 ≤ x <1
What is the domain of the graph below?
-2 < x < 3
-2 < y < 3
−5< x ≤4
4 < x < −5
What is the range of the graph below?
2 ≤ y ≤4
2 < y < 4
-2 < x < 4
−2 ≤ x ≤4
What is the range of the function below?
-2 < y < 3
-5 < y < 3
-5 < y < 4
−2 < y ≤ 3
Simplify.
21(8x−6y+10z) − (4x−3y+5z)0
4x−6y+10z
4x−9y+15z
Cannot be simplified.
Write as an algebraic expression: Five less than three times a number
5−3x
3x−5
3−5x
5x−3
−2
0
2
316
Which equation represents the following sentence: Two pounds of sour candies which cost x dollars a pound, and 5 pounds of sour candies which cost $3 a pound costs $27.
7x+3=27
3x(5)=27
2x+15=27
2(x+5)=27
Solve for x.
153= (x−2)2-2
0
2
12
Solve for a.
4abc=M
a=M−4bc
a=4bcM
a=4Mbc
a=M−bc4
−2≤3x+4≤7
Describe the graph of the solution for the following inequality:
There are closed circles on -2 and 1 and it is shaded between the two points.
There are open circles on -2 and 1 and it is shaded between the two points.
There are closed circles on -2 and 1 and it is shaded outside the two points.
There are open circles on -2 and 1 and it is shaded outside the two points.
Check whether the following relation is a function. If it is a function, mark which is the correct domain.
{(2,3), (0, 3), (4, 2), (5, 6)}
Yes, it is a function.
No, it is not a function.
D: {2, 3, 0, 4, 5, 6}
D: {0, 2, 4, 5}
D: {0, 3, 4, 5, 6}
If a relation is a function, which of the following MUST be true? Check ALL that apply.
The graph must be a line.
The graph must pass the vertical line test.
The x values must be positive.
The y values cannot repeat.
The x values cannot repeat.
Find f(−3), when f(x)=4−2x
-2
1
10
12
y=3−x
Which ordered pair is a solution to the equation above?
(3, 3)
(3, 1)
(6, -3)
(0, 0)
Find the slope of a line through (0, 2) and (2, -2)
0
2
-2
Undefined
What type of line has an undefined slope? Check all that apply.
Horizontal Lines
Vertical Lines
Straight Lines
When using the slope formula and get a 0 in the numerator.
When using the slope formula and get a 0 in the denominator.
2x+5y=20
What are the x and y intercepts of this equation?
(10, 0) and (0, 4)
(10, 4)
(2, 0) and (0, 5)
(-10, 0) and (0, -4)
3x−4y=36
Identify the slope and y-intercept of this line by putting the equation into slope-intercept form.
m=3, b=−4
m=34, b=12
m=−43, b=−9
m=43, b=9
y=32x+1
Which lines below are PERPENDICULAR to the given line? Check all that apply.
y=−32x−3
y=−23x−3
3x+2y=8
y−4=−23(x+6)
∣2x+2∣=8
Solve for x.
x=3
x=4
x=−5
x=1
x=−3
What is the equation of the line, in point-slope form, with a slope of -4 and which contains the point (-4, 9)?
y−9=−4(x−4)
y+9=−4(x+4)
y−9=4(x+4)
y−9=−4(x+4)
The amount of time it takes Darwin to read a book is a constant rate based on the number of pages in the book. If it takes him 11 hours to read a 132 page book, how long will it take him to read two 144 page books?
12 hours
22 hours
24 hours
48 hours
The graph shows point R and a line. Which equation best represents the slope-intercept form of the line that passes through the point R and is parallel to the line on the graph?
y=3x−2
y=−31x−2
y=3x+2
y=−31x+2
What is the equation in slope-intercept form of the line that passes through the point (2,-9) and is perpendicular to the line represented by the equation y=52x+6 ?
y=25x−14
y=25x+249
y=−25x+241
y=−25x−4
The function f(x)=x was transformed to form g(x)=f(x)+14 . Which statement is true about the graphs of f and g?
The graphs of f and g are not parallel, and the graph of f is translated 14 units down to create the graph of g.
The graphs of f and g are not parallel, and the graph of f is translated 14 units up to create the graph of g.
The graphs of f and g are parallel, and the graph of f is translated 14 units down to create the graph of g.
The graphs of f and g are parallel, and the graph of f is translated 14 units up to create the graph of g.
Which graph best represents the solution set of y≤2x−3 ?
What is the increasing interval on the function shown?
x<−3
x<−4
x>−4
x>−3
Identify where the function is increasing and where it is decreasing.
increasing x > -1 and decreasing x<-1
increasing x < -1 and decreasing x > -1
increasing ꓣ and decreasing nowhere
increasing -1 < x < 4 and decreasing -3 < x < 1
What is the increasing interval on the function shown?
x > -3
x < 2
x > 2
x < -3
What is the decreasing interval on the function shown?
x < 1
x > 3
x > 2
x < 2
x < 3
Find the function's x- and y-intercepts.
x-int (0,-3) and (0,1)
y-int (-4,0)
x-int (-3,0) and (1,0)
y-int (0,-4)
x-int (-4, 1)
y-int (-4, ∞)
x-int (-3,0) and (1,0)
y-int (0,-3)
Describe the function's end behavior.
As x→−∞, y→−∞
As x→∞, y→−∞
As x→−∞, y→−∞
As x→∞, y→∞
As x→−∞, y→∞
As x→∞, y→−∞
As x→−∞, y→∞
As x→∞, y→∞
Identify the function's x- and y-intercepts.
x-int (3,0) and y-int (0,1)
x-int (0,3) and y-int (1,0)
x-int (1,3) and y-int (3,1)
x-int (3,0) and y-int none
Where is the function positive and where is it negative?
positive: x < 3
negative: x > 3
positive: x < 1
negative: x > 1
positive: x > 1
negative: x < 1
positive: x > 3
negative: x < 3
Where is this function decreasing?
always
never
increasing: x < 3
decreasing: x > 3
increasing: x > 3
decreasing: x < 3
Where is the function positive and where is it negative?
positive: x > 1
negative: x < 1
positive: x < 1
negative: x > 1
positive: x > -1
negative: x < -1
positive: x < -1
negative: x > -1
Describe the function's end behavior.
As x→−∞, y→−∞
As x→∞, y→−∞
As x→−∞, y→−∞
As x→∞, y→∞
As x→−∞, y→∞
As x→∞, y→−∞
As x→−∞, y→∞
As x→∞, y→∞
Describe the function's end behavior.
As x→−∞, y→−∞
As x→∞, y→−∞
As x→−∞, y→−∞
As x→∞, y→∞
As x→−∞, y→∞
As x→∞, y→−∞
As x→−∞, y→∞
As x→∞, y→∞
Identify where the function is increasing and where it is decreasing.
increasing x > -1 and decreasing x<-1
increasing x < -1 and decreasing x > -1
increasing ꓣ and decreasing nowhere
increasing -1 < x < 4 and decreasing -3 < x < 1
What is the maximum height?
200
50
3
0
Identify the y-intercept
(0, -3)
(3, 0)
(0, 3)
(2, 1)
DOMAIN is found by reading the ends of a graph from ___ to ___.
Right to left
Left to right
Bottom to top
Top to bottom
Which value represents the strongest negative correlation?
-0.7
-0.8
-0.83
-0.084
Which graph depicts the strongest positive correlation?
Which with is the line of best fit?
A) Black
B) Orange
C) Red
D) Blue
Which function has the greater maximum value?
f(x)
g(x)
What is the range of the function?
all real numbers
y≥3
y≥−4
y≥0
y≥7
What is the range of the absolute value function?
all real numbers
y≥3
y≥0
y<0
Select all the true statements about the graph.
The equation of the graph is
f(x ) = I x + 4 I + 2
The range is y≤2
f(-3) = 1
This relation is a function.
Its vertex is a maximum.
Where is the vertex of the function?
f(x) = IxI -5
(5, 0)
cannot be determined
(0, 5)
(0, -5)
(-5, 0)
What is the vertex of the graph of this equation?
y=8∣x−3∣+7
(3, 7)
(8, 7)
(-3, 7)
(-3, 8)
What is the range of the graph of this equation?
y=8∣x−3∣+7
y≥7
y≥3
y≥0
y≤−3
What is the vertex of the graph of this equation?
y=−∣x+6∣
(-1, 6)
(-6, 1)
(-6, 0)
(6, 0)
What is the range of the graph of this equation?
y=−∣x+6∣
y≤−6
y≥−6
y≤0
y≥0
