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WorksheetsAlgebra 1 Finals Review
Total questions: 150
Worksheet time: 6hrs 26mins
y = -3x + 7
5x - 3y = -9
-3x + 4y = 12
y=-3x
Which graph represents y=−23x+4
Which graph represents the equation y=4x−1
Which graph represents y=21x+2
The y-intercept is where a graphed line crosses the ________
x axis
y axis
origin
quadrant
identify the y-intercept.
Graph 2x + 4y = 4
-x + 2y = 3
2x - 5y = 1
y = 4 + 2x
x - y = -3
Select the slope-intercept form of a linear equation.
y−y1=m(x−x1)
Ax+By=C
Select the standard form of a linear equation.
y−y1=m(x−x1)
Ax+By=C
Select the point-slope form of a linear equation.
y−y1=m(x−x1)
Ax+By=C
Select the slope of the following line:
21
−2
5
Select the slope of the following line:
−1
−6
3
Select the slope of the following line:
−1
1
7
Select the slope of the following line:
−10
−4
−2
Select a point on the following line:
(2,10)
(-2,-10)
(10,2)
(-10,-2)
Select a point on the following line:
(-2,1)
(2,-1)
(-1,2)
(1,-2)
Select a point on the following line:
(4,-2)
(-4,2)
(2,-4)
(-2,4)
Select a point on the following line:
(7,3)
(-7,-3)
(-3,-7)
(3,7)
Select a point on the following line:
(-1,-5)
(1,5)
(5,1)
(-5,-1)
Select the equation of a line that has the following slope and goes through the given point:
m=21, (2,5)
y−5=21(x−2)
y+5=21(x+2)
y−2=21(x−5)
y+2=21(x+5)
Select the equation of a line that has the following slope and goes through the given point:
m=−1, (−3,−6)
y−3=−(x−3)
y+3=−(x+3)
y−6=−(x−3)
y+6=−(x+3)
Select the equation of a line that has the following slope and goes through the given point:
m=5, (2,−8)
y−8=5(x+2)
y+8=5(x−2)
y−2=5(x+8)
y+2=5(x−8)
Two lines that are parallel will have ...
Slope that is opposite reciprocals
No slope
Slope that is the same
none of the above
Two lines that are perpendicular lines have ...
Slope that is opposite reciprocals
No Slope
Slope that is the same
none of the above
Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?
y=1/6x +25/6
y = 1/6x + 4
y = -6x - 2
y = -6x + 4
Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?
9x - 12y = 11
3x = 7 + 4y
-6x + 8y = 3
16y = 13 + 6x
Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?
y = 5x - 2
y = -2x + 7
y = 5(x - 2)
y = -1/5x - 2
Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?
-2x + 3y = 10
2x + y = 6
3x + 2y = -4
-3x - 2y = 2
The total cost of renting a car is $22 per day, plus an initial fee of $55. Which equation best describes this relationship?
c = 55d - 22
c = 55 + 22d
c = 22d - 55
c = 22d + 100
Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?
y = 7/2x + 26
y = 7/2x - 16
y = 7/2x - 26
y = 7/2x + 16
What type of line does the picture represent?
Parallel
Intersecting
Perpendicular
What slope is perpendicular to:
m = 3
-3
-1/3
1/3
3
y = 6x + 2
y = -6x + 2
These lines are...
Parallel
Perpendicular
Neither
y = -2/3x + 2
y = 3/2x + 9
These lines are...
Parallel
Perpendicular
Neither
A line is parallel to y = 2x - 7.
What is it's slope?
-2
1/2
-1/2
2
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
y = 1/5x - 3
y= 5x - 7
y = 5x + 4
y = -5x - 3
Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?
y = 3/2x - 6
y = 2/3x + 3
y = -2/3x - 2
y = -2/3x + 2
Two lines that are parallel will have ...
Slope that is opposite reciprocals
No slope
Slope that is the same
none of the above
Two lines that are perpendicular lines have ...
Slope that is opposite reciprocals
No Slope
Slope that is the same
none of the above
Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?
y=1/6x +25/6
y = 1/6x + 4
y = -6x - 2
y = -6x + 4
Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?
9x - 12y = 11
3x = 7 + 4y
-6x + 8y = 3
16y = 13 + 6x
Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?
y = 5x - 2
y = -2x + 7
y = 5(x - 2)
y = -1/5x - 2
Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?
-2x + 3y = 10
2x + y = 6
3x + 2y = -4
-3x - 2y = 2
The total cost of renting a car is $22 per day, plus an initial fee of $55. Which equation best describes this relationship?
c = 55d - 22
c = 55 + 22d
c = 22d - 55
c = 22d + 100
Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?
y = 7/2x + 26
y = 7/2x - 16
y = 7/2x - 26
y = 7/2x + 16
What type of line does the picture represent?
Parallel
Intersecting
Perpendicular
What slope is perpendicular to:
m = 3
-3
-1/3
1/3
3
y = 6x + 2
y = -6x + 2
These lines are...
Parallel
Perpendicular
Neither
y = -2/3x + 2
y = 3/2x + 9
These lines are...
Parallel
Perpendicular
Neither
A line is parallel to y = 2x - 7.
What is it's slope?
-2
1/2
-1/2
2
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
y = 1/5x - 3
y= 5x - 7
y = 5x + 4
y = -5x - 3
Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?
y = 3/2x - 6
y = 2/3x + 3
y = -2/3x - 2
y = -2/3x + 2
What is the domain of a relation?
the set of all x-values
the set of all y-values
Which is the set of all y-values or the outputs?
Domain
Range
Relation
Function
What is the range of the mapping?
{1, 2, 4}
{0, 1, 2, 3}
{0, 3}
{1, 4}
What is the domain of the relation shown in the table?
{12}
{6, 18}
{3, 9, 15, 16}
{13}
What is the range of the table?
{-4, 0, 1, 3}
{-2, 0, 2, 3}
{-4, -2, 0, 1, 2, 3}
{ (0, 0), (2, -4), (3, 3), (-2, 1) }
What is the domain of the graph?
-7 ≤ x < 5
-3 ≤ x < 1
-3 ≤ y < 1
-7 ≤ y < 5
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
What is the Domain?
-3 < x ≤ 3
-4 ≤ x < 5
-4 ≤ y ≤ 5
-3 < y ≤ 3
What is the Domain of this linear function?
-6 ≤ x ≤ 6, real numbers
0 ≤ x ≤ 7, integers
2 ≤ x ≤ 7, real numbers
No Solution
What is the Range of this linear function?
-6 ≤ y ≤ 6, integers
0 ≤ y ≤ 6, real numbers
0 ≤ y ≤ 6, integers
4 ≤ y ≤ 3, real numbers
What is the domain in inequality notation?
[ -2 , 2 ]
[ 4 , -4 ]
-2 ≤ x ≤ 2
4 ≥ y ≥ -4
What is the DOMAIN of the above graph?
−5<x<4
−5<y<−2
−5≤x≤4
−5≤y≤−2
What is the RANGE of the above graph?
−5<x<4
−5<y<−2
−5≤x≤4
−5≤y≤−2
What is the correct DOMAIN and RANGE for the above graph?
x≥−2
y≥−3
x≤−2
y≤−3
x≤−2
y≥−3
x≥−2
y≤−3
Which one of the below is correct about the above graph?
−2<y≤4
−2<y≤3
−3<x≤4
−3≤x≤4
What is the correct DOMAIN and RANGE of the above graph?
All real numbers
y≥−3
All real numbers
y≤−3
−4≤x≤2
y≥−3
−4≤x≤2
y≤−3
What is the correct DOMAIN of the above graph?
All real numbers
−6≤x≤6
−6<x<6
x≥1
x≤−1
What is the correct RANGE of the above graph?
All real numbers
−6<y≤6
−6<y<6
−6≤y<6
−6≤y≤6
What is the solution to the system of equations below?
2x+y=7
3x+2y=16
(2,5)
(2,11)
(-2,-11)
(-2,11)
What are the solutions to the system of equations below?
7x−5y=38
2x+10y=−12
x = 4 and y = -2
x = 4 and y = 2
x = -4 and y = 2
x = -4 and y = -2
y = -x + 5
y = 2x - 7
3x + 2y = 315
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
x-2y=1
x+4y=7
Solve the system of equations.
(-6, 30)
(-2, 10)
(44, 39)
No solution
Infinite solutions
When solving a system of equations algebraically, which statement results in infinite solutions?
4 = 7
2 = 2
-3 = 3
all of the above
−4x − 4y = 0
4x + 4y = 0
What is the solution?
What is the first step?
2x - 3y = 14
x + 3y = -11
solve each equation for y
add the equations to eliminate the y's
subtract the equations to eliminate the y's
f(t) = -2|t - 15| + 50
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?
f(t) = -2|t - 15| + 50
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?
y= 4|x|+1
y= -4|x+2|+5
Choose the correct equation for the graph.
y=∣x+2∣
y=∣x−2∣
y=∣x∣+2
y=∣x∣−2
Choose the correct equation for the graph.
y=∣x+3∣−4
y=∣x−3∣−4
y=∣x+3∣+4
y=∣x−3∣+4
-17
-13
13
17
Which graph matches:
-x+4 if x < 2
2x-6 if x ≥ 2
A
B
C
D
-3
0.5
3
-3.5
How many "pieces" are graphed in this function?
1
2
3
4
When x is less than or equal to 2, what equation is shown in the graph?
f(x) = 3
f(x) = x
f(x) = | x |
f(x) = | x - 1 |
Find f(0)
-3
18
4
0
