Algebra - Holiday POW#15
Page 1 of 17
Name: ____________________________________
1.
Which graph does not represent a function of x?
1.
3.
2.
4.
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2.
What is the slope of the graph of the equation y = 2x -
?
1.
2.
2
3.
2x
4.
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3.
If the point (−4, k) is on the graph of the equation 3x + y = −8, find the value of k.
1. −20
2. 0
3. −4
4. 4
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Algebra - Holiday POW#15
Page 2 of 17
4.
In which graph does line L have a negative slope?
1.
3.
2.
4.
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5.
The line whose equation is y = 4x + 2 has a y-intercept whose coordinates are
1. (0, 0)
2. (0, 2)
3. (4, 0)
4. (0, 4)
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6.
What is the slope of the line with the equation y =
x + 4?
1.
2.
x
3. 4
4. 4x
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Algebra - Holiday POW#15
Page 3 of 17
7.
Which equation represents the line whose slope is
1. y =
and whose y-intercept is 5?
x+5
2. y = 5x +
3. y =
x-5
4. y = 5x --------------
8.
What is the slope of line l shown in the accompanying diagram?
1.
2.
3. 4. --------------
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Algebra - Holiday POW#15
Page 4 of 17
9.
Which is an equation of the line that passes through the point (1, 4) and has a slope of 3?
1. y = 3x + 4
2. y =
3.
4.
x+4
y = 3x 1
y = 3x + 1
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10.
What is the y-intercept of the line whose equation is 3y = 6x + 12?
1. 1
2. 2
3. 3
4. 4
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11.
What is the slope of the line whose equation is 3x + y = 4?
1. 3x
2. -3
3. 3
4. 4
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Algebra - Holiday POW#15
Page 5 of 17
12.
What is the slope of line l in the accompanying diagram?
1. 2. 3.
4.
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13.
The accompanying figure shows the graph of the equation x = 5.
What is the slope of the line x = 5?
1. 5
2. -5
3. 0
4. undefined
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Algebra - Holiday POW#15
Page 6 of 17
14.
What is the slope of the line whose equation is 2y = 5x+ 4?
1. 5
2. 2
3.
4.
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15.
If x and y are defined as indicated by the accompanying table, which equation correctly represents the
relationship between x and y?
1.
2.
3.
4.
y=x+2
y = 2x + 2
y = 2x + 3
y = 2x - 3
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16.
What is the slope of the linear equation 5y - 10x = -15?
1. 10
2. 2
3. -10
4. -15
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Algebra - Holiday POW#15
Page 7 of 17
17.
Write the equation for the line shown in the accompanying graph.
y
=
x+
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Algebra - Holiday POW#15
Page 8 of 17
18.
John left his home and walked 3 blocks to his school, as shown in the accompanying graph.
What is one possible interpretation of the section of the graph from point B to point C?
1.
2.
3.
4.
John arrived at school and stayed throughout the day.
John waited before crossing a busy street.
John returned home to get his mathematics homework.
John reached the top of a hill and began walking on level ground.
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19.
The line 3x - 2y = 12 has
1. a slope of
and a y-intercept of -6
2. a slope of -
and a y-intercept of 6
3. a slope of 3 and a y-intercept of -2
4. a slope of -3 and a y-intercept of -6
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20.
If a line is horizontal, its slope is
1. 1 3. undefined
2. 0 4. negative
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21.
The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are
1. (0,2) 3. (0,18)
2. (0,6) 4. (6,0)
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Algebra - Holiday POW#15
Page 9 of 17
22.
Which equation is equivalent to 3x+ 4y = 15?
1.
2.
3. y = 15 - 3x
4. y = 3x - 15
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23.
The graph below represents a highway on a scale drawing. The city of Charlotte plans to construct a
second road that is perpendicular to this highway. What is an equation of this second road that is
perpendicular to the highway?
1.
2.
3.
4.
3x – 2y = 6
3x + 2y = 16
2x – 3y = 4
2x + 3y = 7
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Algebra - Holiday POW#15
Page 10 of 17
24.
Adalberto is saving money to purchase a car. He deposits money into his savings account each
month. The graph below represents how his savings account will grow each month.
If a line were to be drawn through the points, what would be the slope of that line?
1. −1000
2. 800
3. 1000
4. 1600
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Algebra - Holiday POW#15
Page 11 of 17
25.
In the accompanying diagram, x represents the length of a ladder that is leaning against a wall of a
building, and y represents the distance from the foot of the ladder to the base of the wall. The ladder
makes a 60° angle with the ground and reaches a point on the wall 17 feet above the ground. Find the
number of feet in x and y. Round your answers to the nearest tenth of a foot.
x
=
y=
feet
feet
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Algebra - Holiday POW#15
Page 12 of 17
26.
As seen in the accompanying diagram, a person can travel from New York City to Buffalo by going
north 170 miles to Albany and then west 280 miles to Buffalo.
a
If an engineer wants to design a highway to connect New York City directly to Buffalo, at what
angle, x, would she need to build the highway? Find the angle to the nearest degree.
°
b
To the nearest mile, how many miles would be saved by traveling directly from New York City to
Buffalo rather than by traveling first to Albany and then to Buffalo?
miles
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27.
Given A = {1,3,5,7,9} and B = {1,2,3,4,5}. Find A ∩ B.
1. {1,3,5}
3. {7,9}
2. {1,2,3,4,5,7,9} 4. {2,4}
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28.
Given A = {1,3,5,7,9} and B = {1,2,3,4,5}. Find A
1. {1,3,5}
3. {7,9}
2. {1,2,3,4,5,7,9} 4. {2,4}
B.
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Algebra - Holiday POW#15
Page 13 of 17
29.
Which of the following relations is a function?
1. {(0, 6), (5, 6), (1, -3), (0, 4)}
2. {(1, 6), (2, 6), (4, 8), (-7, -2)}
3. {(9, 0), (8, -4), (8, 6), (-3, 0)}
4. {(-11, 2), (2, -11), (9,-12), (2, -1)}
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30.
The diagram below represents a relation.
List the ordered pairs in the relation and tell whether or not the relation is also a function.
1. {(10, 0), (10, 2), (10, 9)}; the relation is not a function
2. {(0, 10), (2, 10), (9, 10)}; the relation is not a function
3. {(0, 10), (2, 10), (9, 10)}; the relation is a function
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31.
Which interval describes the solution set shown in the number line below?
1.
2.
3.
4.
(2,5)
{x|2 ≤ x ≤ 5}
(2,5]
[2,5]
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Algebra - Holiday POW#15
Page 14 of 17
32.
Which statement is true about the relation shown on the graph below?
1.
2.
3.
4.
It is a function because there exists one x-coordinate for each y-coordinate.
It is a function because there exists one y-coordinate for each x-coordinate.
It is not a function because there are multiple y-values for a given x-value.
It is not a function because there are multiple x-values for a given y-value.
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33.
Given:
A = {All even integers from 2 to 20, inclusive}
B = {10, 12, 14, 16, 18}
What is the complement of set B within the universe of set A?
1. {4, 6, 8}
3. {4, 6, 8, 20}
2. {2, 4, 6, 8} 4. {2, 4, 6, 8, 20}
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Algebra - Holiday POW#15
Page 15 of 17
34.
Which graph represents a function?
1.
3.
2.
4.
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35.
Which interval notation represents the set of all numbers greater than or equal to 5 and less than 12?
1. [5, 12)
2. (5, 12]
3. (5, 12)
4. [5, 12]
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36.
Given:
U = {1, 2, 3, 4, 5, 6, 7, 8}
B = {2, 3, 5, 6}
Set B is a subset of set U. What is the complement of set B?
1. { }
3. {1, 4, 7, 8}
2. {2, 3, 5, 6} 4. {1, 2, 3, 4, 5, 6, 7, 8}
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Algebra - Holiday POW#15
Page 16 of 17
37.
Which set-builder notation describes {−3, −2, −1, 0, 1, 2}?
1.
2.
3.
4.
{x | −3 ≤ x < 2, where x is an integer}
{x | −3 < x ≤ 2, where x is an integer}
{x | −3 < x < 2, where x is an integer}
{x | −3 ≤ x ≤ 2, where x is an integer}
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38.
The graph below is the graph of what type of function?
1. Linear
2. Exponential
3. Absolute value
4. Quadratic
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39.
The graph below is the graph of what type of function?
1. Linear
2. Exponential
3. Absolute value
4. Quadratic
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40.
The graph below is represented best by which of the equations?
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Algebra - Holiday POW#15
Page 17 of 17
1.
2.
3.
4.
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