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Alg1 Ch5 Systems of Equations (Big Ideas OK)

Total questions: 71

Worksheet time: 3hrs 46mins

Name
Class
Date
1.
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
2.
7x+4y =12 
x + 2y = -4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
3.
x + 2y = -4
x - 2y = 8
a)
(2,5)
b)
(2,-3)
c)
(2,-2)
d)
(-3,2)
4.
7x - 2y = 6
x - 2y = -6
a)
(2,4)
b)
(3,-2)
c)
(1,2)
d)
(-2,-4)
5.
x-4y = 16
5x + 4y = 8
a)
(4,-3)
b)
(-3,4)
c)
(4,3)
d)
(3,-4)
6.
x + y = 3
3x - y = 1
a)
(2,1)
b)
(-1,2)
c)
(1,2)
d)
(-2,-1)
7.
x -2y = -2
3x - 2y = 6
a)
(4,3)
b)
(-3,4)
c)
(-2,-3)
d)
(-3,-4)
8.
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
9.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
(0, -1.5)
10.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
11.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
12.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
13.
A ________________ is a set of two or more equations that have the same variables.
a)
solution of a system
b)
elimination method
c)
system of equations
d)
table
14.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
15.
Find the solution to the system.
y = x-6
y = -3x + 2
a)
(0, -6)
b)
(6, 0)
c)
(-4, 2)
d)
(2, -4)
16.
What kind of lines have no solution to a system of equations
a)
Parallell Lines
b)
Overlapping lines
c)
Intersecting Lines
d)
Skew Lines
17.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
18.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
19.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
20.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

21.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

22.

Which point is a solution to the system of inequalities?

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

23.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
24.
Which inequality is shown in the graph?
a)
y < 2x + 1
b)
y < -2x + 1
c)
y ≤ 2x + 1
d)
y ≤ -2x + 1
25.
The graph shows which inequality?
a)
y ≤ 3
b)
y ≥ 3
c)
y > 3
d)
x > 3
26.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

27.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
28.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
29.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
30.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 3
d)
y > 3x   and  y < -2x + 4
31.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
32.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
y <  2 
d)
y < 2x - 4
y <   -2
33.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
34.
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
a)
x+y≤300
7.5x+5.5y≥2000
b)
x+y<300
7.5x+5.5y≥2000
c)
x+y≤300
7.5x+5.5y≤2000
d)
x+y>2000
7.5x+5.5y≤300
35.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

36.

What's the difference between systems of equations and systems of inequalities?

a)

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

b)

Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

c)

Systems of equations have a shaded region while systems of inequalities do not.

d)

There is no difference.

37.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
a)
b + t < 15
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
d)
3b + 6t < 15
b + t < 66
38.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

39.
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.
40.
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.
41.
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.
42.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
43.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
44.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
45.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
46.
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
47.

Which ordered pair makes the inequality 2x + 4y > 600 true?

a)

(50, 100)

b)

(150, 100)

c)

(200, 25)

d)

(100, 75)

48.
Which ordered pair is NOT a solution to y ≥ -x + 1?
a)
(2,1)
b)
(0,2)
c)
(-4,4)
d)
(-1,6)
49.
Which ordered pair IS a solution to y < -2x - 5
a)
(-2,1)
b)
(2,6)
c)
(2,-1)
d)
(-4,2)
50.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
51.
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
52.
Will my line be solid?
5 ≥ x
a)
Yes
b)
No
53.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
54.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
55.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
56.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
57.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
58.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
59.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
60.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
61.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
62.

Which of the following equations match the given graph?

a)

y ≥ 25x+1y\ ≥\ \frac{2}{5}x+1

b)

y≥−25x+1y≥-\frac{2}{5}x+1

c)

y≤ 25x+1y≤\ \frac{2}{5}x+1

d)

y≥−25x−1y≥-\frac{2}{5}x-1

63.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
64.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
65.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
66.

Which of the following equations match the given graph?

a)

x≥−1x≥-1

b)

x≤−1x\le-1

c)

x>−1x>-1

d)

x<−1x<-1

67.

Which of the following equations match the given graph?

a)

y≤−54x+3y≤-\frac{5}{4}x+3

b)

y≥−54x+3y\ge-\frac{5}{4}x+3

c)

y<−54x+3y<-\frac{5}{4}x+3

d)

y>−54x+3y>-\frac{5}{4}x+3

68.

When I see ≤\le  or  ≥\ge  , I use a ________ line.

a)

Solid

b)

Dashed

69.

When I see  <<  or  >>  , I use a ____________ line.

a)

Solid

b)

Dashed

70.

When I see  >>  or  ≥\ge  , I shade...

a)

Above

b)

Below

71.

When I see  <<  or  ≤\le  ,  I shade...

a)

Above

b)

Below

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