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Alg. 2 CP - Chapter 2 Test Practice

Total questions: 82

Worksheet time: 6hrs 44mins

Name
Class
Date
1.
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
2.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
3.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
4.
Which point is a solution of
-2x + y  ≤ -2
a)
(0, 0)
b)
(1, -1)
c)
(1, 2)
d)
(-3, 1)
5.
What is the slope between the points
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
6.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
7.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
8.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

9.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
10.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
11.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
12.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

13.
Which system of linear inequalities is represented by the graph?
a)
y≤2x-1
y>-2x+3
b)
y>2x-1
y≤-2x+3
c)
y<2x-1
y≥-2x+3
d)
y≤2x-1
y>2x+3
14.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
15.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
16.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
17.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 
a)
y = 6.80 + .65x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
18.
The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y? 
a)
14
b)
4
c)
6
d)
2
19.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
20.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 
a)
10c + 5d = 14.25
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
21.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
22.

4x - 2y = 7

x + 2y = 3

If I had to solve using substitution, which variable should I solve for?

a)

y in the first equation

b)

y in the second equation

c)

x in the second equation

d)

x in the first equation

23.

4x+8y=20

-4x+2y=-30

Which method would be easiest way to solve this system of equations?

a)

graphing

b)

linear programming

c)

substitution

d)

elimination

24.

Solve using elimination:

6x - 4y = 28

2x + 2y = 6,

a)

x = 1, y = 2

b)

x = 2, y = 1

c)

x = -4, y = 1

d)

x = 4, y = -1

25.

Solve the system of equations by graphing.

a)

(2, 1)

b)

No Solution

c)

Infinitely Many Solutions

d)

(1, 2)

26.
What are systems of linear equations?
a)
a set of two or more linear equations in the same variables
b)
a polynomial with three terms
c)
set of two or more linear inequalities in the same variables
27.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
28.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
29.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
30.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
31.

Solve the following system of equations using the elimination method:

a)

(-2, 1)

b)

no solutions

c)

(-2, 0)

d)

(-1, -3)

32.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
33.
Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
34.
How can you tell if a point is a solution to a system?
a)
It makes the first equation true.
b)
The (x,y) coordinates satisfy both equations
c)
It makes logical sense
d)
It makes neither equation negative
35.
Solve by graphing:
y = 2x -6
y = 2x +3
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
36.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
37.
What is the
slope-intercept form
of the equation
-8x+2y=4
a)
none
b)
y=2-4x
c)
y=4x+2
d)
y=4x-8y
38.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
39.
Solve by elimination:
7x+y=-9

-3x-y=5
a)
No solution
b)
(1,8)
c)
(-2,-3)
d)
(-1,-2)
40.

If you where to graph the equation y = 2x - 3, how would you begin?

a)

By going up 2 and over 1

b)

By placing a point at -3 on the y-axis

c)

By going down 2 and over 3

d)

By going up 2 and over 3

41.
a)

(-5, -9)

b)

(9, 5)

c)

(5, 9)

d)

(-9, -5)

42.

Solve the following system:

 y=6x−11y=6x-11  

 −2x−3y=−7-2x-3y=-7  

a)

 (2, 1)\left(2,\ 1\right)  

b)

 (1, 3)\left(1,\ 3\right)  

c)

 (2, 5)\left(2,\ 5\right)  

d)

 (3, 2)\left(3,\ 2\right)  

43.
5x + y = 9
10x − 7y = −18
a)
(4, -11)
b)
(1, 4)
c)
(-1, 14)
d)
(-4, 29)
44.
a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

45.
a)

(-1, -6)

b)

(-6, 1)

c)

(-3, -6)

d)

(1, -6)

46.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
47.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
48.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
49.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
50.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
51.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
52.
Graph. y = -4
a)
a
b)
b
c)
c
d)
d
53.
Graph. x = 1
a)
a
b)
b
c)
c
d)
d
54.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
55.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
56.

Which graph represents 2x−5y=−102x-5y=-10  

a)
b)
c)
d)
57.

Which graph represents  y=12x+2y=\frac{1}{2}x+2  

a)
b)
c)
d)
58.

What is the x-intercept of  5x−10y=305x-10y=30  

a)

x = -10

b)

x = -6

c)

x = 6

d)

x = 3

59.

What is the y-intercept of  8x+4y=−488x+4y=-48  

a)

y = 6

b)

y = -6

c)

y = 12

d)

y = - 12

60.
Find the slope of the line that passes through 
(17, 2) and (17, -3)
a)
0
b)
undefined
c)
5
d)
-5
61.
Which is the equation of the line with slope 3 and y-intercept 5.
a)
y = 3x + 5
b)
y = 5x + 3
c)
y = 3/5x
d)
y = 5/3x
62.
Write the equation of the line with slope 4 through the point (-2, 5).
a)
y = 4x - 13
b)
y = 4x + 13
c)
y = 4x - 3
d)
y = 4x + 3
63.
Write the equation of the line with slope -2 through the point (7, -1).
a)
y = -2x + 15
b)
y = -2x -15
c)
y = -2x + 13
d)
y = -2x - 13
64.
Write the equation of the line through the points (4, 5) and (12, 9).
a)
y = 2x - 3
b)
y = 1/2x + 3
c)
y = 1/2x +7
d)
y = 2x - 15
65.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

66.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
67.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
68.
Write equation of the line containing (6,3) and (4,1)
a)
y = -1x + 5
b)
y = 1x - 3
c)
y = 1x + 5
d)
y = -1x + 3
69.
Identify the slope and y intercept in the equation of the line: y = -1/3x + 1
a)
Slope: 1/3
y-intercept: 1
b)
Slope: 1/3
y-intercept: -1
c)
Slope: -1/3
y-intercept: 1
d)
Slope: -1/3
y-intercept: 0
70.
What does 'b" represent in
y = mx + b
a)
y-intercept
b)
x-intercept
c)
nothing
d)
slope
71.
Which line is perpendicular to this line:
y=1/3x+7
a)
y=-3x+8
b)
y=1/3x+2
c)
y= 3x+1
d)
y=-1/3x
72.
What equation is parallel to this equation: 
y=2x+4
a)
y=1/2x+4
b)
y=2x+1
c)
y=-2x+4
d)
y=-1/2x+1
73.
Write an equation that is parallel to the line
y = x - 5 through (1, -2)
a)
y = -3x +1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x +1 
74.

Select all that apply. (May have more than one correct answer)


f(x) = |x - 6| + 2

a)

Horizontal translation right 6 units

b)

Horizontal translation left 6 units

c)

Vertical translation up 2 units

d)

Vertical translation down 2 units

75.

Which of the graphs given is

y=|x+1|−4 ?

(Click on the picture to enlarge it so you can see)

a)

A

b)

B

c)

C

d)

y=D

76.

What function best describes this graph? (Click the picture to zoom in)

a)

f(x)= -|x+4| + 1

b)

f(x)= |x-1| + 4

c)

f(x)= |x+1| + 4

d)

f(x)= -|x+1| + 4

77.

What is the equation of the graph below? You can click the picture to zoom in!

a)

y = - | x + 2| + 4

b)

y = - | x - 2| + 4

c)

y = | x - 2 | + 4

d)

y = | x - 2| - 4

78.

What is the graph of the equation y=|x+2|+1?

(Click the picture to see all the graphs up close)

a)

A

b)

B

c)

C

d)

D

79.

What is the transformation shown below:


y = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

80.

Describe the transformation of the equation below:


y = I x |+ 3

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

81.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
82.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4

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