Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 10 Retake

Total questions: 89

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

Parallel Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

2.

Which image shows a system of linear equations with infinitely many solutions?

a)
b)
c)
d)
3.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
4.
Solve the system of equations.
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
5.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
6.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
7.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
8.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.
a)
a + c = 21
6a + 4c = 104
b)
a + c = 104
6a + 4c = 21
c)
a + c = 21
6c + 4a = 104
d)
a + c = 104
6c + 4a = 21
9.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
10.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
11.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
12.
What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
13.

How many solutions are in the following systems of equations?  2x+ 4y=82x+\ 4y=8  
  x+2y=4 x+2y=4\  

a)

no solution

b)

one solution

c)

two solutions

d)

infinitely many solutions

14.

1. The equation of line P shown in the graph is 5x + 4y = −22 and the equation of line Q is 2x − 3y = 5.

What is the solution of the system of equations?


5x + 4y = −22

2x − 3y = 5

a)

(−6, 2)

b)

(7, 3)

c)

(−2, −3)

d)

(2, −8)

15.

Solve this equation.

3𝑛 − 5 = −8(6 + 5𝑛)

a)

n=−1n=-1

b)

n=1n=1

16.

Solve this equation.

−10𝑥 − 20 = −4𝑥 − 6𝑥

a)

x=-20

b)

x= 20

c)

no solution

d)

x=10

17.

What is the cost to purchase 6 additional movies using the Julu Plus viewing plan?

a)

$30 extra, since 6x5= 30

b)

$11 extra, since 6+5 =11

c)

$42.50 since, 8.50 x 5= 42.50

d)

$5

18.

Heidi claims that the Prime viewing plan is the most expensive without purchasing additional movies . Do you agree with Heidi's claim. Justify your decision.

4 lines
19.

Determine the number of additional movies for the cable and the Prime plan costs to be equal.

a)

System of Equations 3x+8.33=x+45.00 Solution is x= 19

b)

Systems of equation is 2x+8.33+x+45.00 Solution is x= 16

c)

System of Equation is 3x+8.33+x+45.00 Solution is x= 17

20.

Kyler claims that solving the equation 50 = 2x + 10 will determine the number of

additional movies (per month) that the family can purchase using the Metflix

viewing plan. Do you agree or disagree with Kyler’s claim? Justify your decision.

a)

I disagreee with Kyler, you can't set up the equation using a random number that fits into your personal budget.

b)

I agree with Kyler, the total cost you can spend equal to an equation representing the cost of each movie; 50=2x+10 will give you the number of additional movies you can purchase using the Metflix plan.

21.

Write a recommendation for Heidi and her family.

Which viewing plan should they purchase?

How many additional movies can they purchase each month?

Justify why you think this is the best viewing plan for family.

a)

The family should purchase Prime, since it is only $8.33 per month, and each additional movie is only $3. The monthly fee is cheaper than the Metflix $10 monthly fee.

b)

The Metflix plan is the viewing plan that Heidi and her family should purchase, since they can rent 20 additional movies on their budget.

22.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
23.
Solve the system of equations.
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
24.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
25.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
26.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
27.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
28.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
29.
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
30.
Solve for x and y:
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
31.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
32.
What is a solution of a linear system?
a)
the slope of the line
b)
the y-intercept
c)
the point where the systems intersect
d)
the rise over tun
33.
Solve:
x + y = 4
-5x - 6y = -18
a)
(6, -2)
b)
(-6, 10)
c)
(2, 2)
d)
(-2, 6)
34.
Solve:
-2x + 5y = -1
4x - 2y = -6
a)
(-2, -1)
b)
(2, 7)
c)
(3, 1)
d)
(-1, -2)
35.

Lines that cross over each other at one point are called?

a)

Parallel Lines

b)

Intersecting Lines

c)

Coincident Lines

d)

Checkout Lines

36.

Parallel Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

37.

Solve using substitution.

a)

(1,3)

b)

(3,-1)

c)

(7,3)

38.

Solve using elimination.

a)

(4,5)

b)

(3,4)

c)

(5,4)

39.

Solve using the most efficient method.

a)

(2,1)

b)

(1,-2)

c)

(2,-1)

40.

Solve using your preferred method.

a)

(3,7)

b)

(5,7)

c)

(6,6)

41.

Solve using the most efficient method.

a)

(3,4)

b)

(4,12)

c)

(14,17)

42.

Solve using your preferred method

a)

(14,10)

b)

(2,10)

c)

(4,14)

43.

Solve using the most efficient method.

a)

(9,11)

b)

(-2,3)

c)

(3,-2)

44.

Solve using the most efficient method.

a)

(7,-9)

b)

(9,7)

c)

(1,7)

45.

Solve using the most efficient method.

a)

(-6,5)

b)

(5,-6)

c)

(4,-6)

46.

Solve using your preferred method.

a)

(6,1)

b)

(-1,9)

c)

(-7,13)

47.

Solve using your preferred method.

a)

(2,-4)

b)

(-2,-4)

c)

(-2,4)

48.

Solve using the most efficient method.

a)

(4,-6)

b)

(2,10)

c)

(4,2)

49.

Find the solution of the system of equations below using the substitution method:


y = 2x - 4


7x - 2y = 5

a)

(-1, -6)

b)

(-1, -8)

c)

(-2, 6)

d)

(1, -8),

50.
a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

51.
a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

52.
a)

(3, -6)

b)

(3, -8)

c)

Infinite number of solutions

d)

(3, 6)

53.
a)

(4, -3)

b)

(-1, -3)

c)

(-4, -3)

d)

(-4, 3)

54.
a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

55.
a)

(-3, -8)

b)

(-8, 3)

c)

(2, 3)

d)

(-8, -6)

56.
a)

(2, -3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

57.
Solve this system of equations. 
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
58.

Solve the following system:

−7x−2y=−13-7x-2y=-13  

x=2y+11x=2y+11  

a)

(3, −4)\left(3,\ -4\right)  

b)

(3, 4)\left(3,\ 4\right)  

c)

(−3, −4)\left(-3,\ -4\right)  

d)

(−3, 4)\left(-3,\ 4\right)  

59.

2 Lines in the same plane that do not intersect are called?

a)

Parallel Lines

b)

Intersecting Lines

c)

Coincident Lines

d)

Checkout Lines

60.

Lines that cross over each other at one point are called?

a)

Parallel Lines

b)

Intersecting Lines

c)

Coincident Lines

d)

Checkout Lines

61.

Lines that every point in common and are right on top of each other when they are graphed are called?

a)

Parallel Lines

b)

Intersecting Lines

c)

Coincident Lines

d)

Checkout Lines

62.

Parallel Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

63.

Intersecting Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

64.

Coincident Lines have how many solutions?

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

d)

As many solutions as you want

65.

Parallel Lines in a system of linear equations have which of the following characteristics?

a)

Same Slope but Different Y-Intercepts

b)

Different Slopes but Y-Intercepts doesn't matter

c)

Same Slope Same Y-Intercept

d)

No Slopes and X-Intercepts

66.

Intersecting Lines in a system of linear equations have which of the following characteristics?

a)

Same Slope but Different Y-Intercepts

b)

Different Slopes but Y-Intercepts doesn't matter

c)

Same Slope Same Y-Intercept

d)

No Slopes and X-Intercepts

67.

Coincident Lines in a system of linear equations have which of the following characteristics?

a)

Same Slope but Different Y-Intercepts

b)

Different Slopes but Y-Intercepts doesn't matter

c)

Same Slope Same Y-Intercept

d)

No Slopes and X-Intercepts

68.

Which of the following systems of linear equations represent parallel lines?

a)

y = 2x - 3

2y = 4x + 6

b)

y = x + 2

y = 2x + 1

c)

y = -3

x = -4

d)

y = 2x + 4

y = 2x + 4

69.

Which of the following systems of linear equations represent intersecting lines?

a)

y = 2x - 3

2y = 4x + 6

b)

y = x + 2

y = 2x + 1

c)

x = -3

x = -4

d)

y = 2x + 4

y = 2x + 4

70.

Which of the following systems of linear equations represent coincidental lines?

a)

y = 2x - 3

2y = 4x + 6

b)

y = x + 2

y = 2x + 1

c)

y = -3

x = -4

d)

y = 2x + 4

y = 2x + 4

71.

Which image shows intersecting lines in a system of linear equations?

a)
b)
c)
d)
72.

Which image shows parallel lines in a system of linear equations?

a)
b)
c)
d)
73.

Which image shows coincidental lines in a system of linear equations?

a)
b)
c)
d)
74.

Which image shows a system of linear equations with one solution?

a)
b)
c)
d)
75.

Which image shows a system of linear equations with no solutions?

a)
b)
c)
d)
76.

Which image shows a system of linear equations with infinitely many solutions?

a)
b)
c)
d)
77.

Which image shows a system of equations with two solutions?

a)
b)
c)
d)
78.

Solve the system of equations by substitution.


2x + 6y = 18

x - 4y = -5

a)

(4, 5)

b)

(2, 3)

c)

(3, 2)

d)

(5, 4)

79.

Solve the system of equations by substitution.


2x - 8 = 4y

2y + 19 = 4x

a)

(4, 8)

b)

(2, 1/4)

c)

(5, 1/2)

d)

(1/3, 2)

80.

Solve the system of equations by elimination.


24x - 6y = 12

-24x + 6y = -12

a)

(3, 1)

b)

(-1, -3)

c)

No solution

d)

Infinitely many solutions

81.

Solve the system of equations using any method.


2x - y = -4

x - y = 1

a)

(-5, -6)

b)

(5, 6)

c)

(2, 1)

d)

(4, 3)

82.

Solve the system of equations using any method.


3x + 2y = 6

2x + 3y = 5

a)

(9, 9)

b)

(3, 4)

c)

(1.6, 0.6)

d)

(5.2, -1.8)

83.

Solve the system of equations using any method.


1.50x + 0.50y = 78.50

x + y = 87

a)

(35, 52)

b)

(-35, -52)

c)

(40, 50)

d)

(20, 15)

84.

Solve the system of equations using linear elimination.


2x + 10y = -22

8x + 5y = 17

a)

(-4, 3)

b)

(4, 3)

c)

(-3, -4)

d)

(4, -3)

85.

What is the solution to the system of equations below?


-5x - y = 3

2y - 14x = 13

a)

No solution

b)

Infinitely many solutions

c)

(-19/24 , 23/24 )

d)

(1/3 , 16/24 )

86.

What is the solution to the system of equations below?


4x + 6y = 8

10x + 12y = 14

a)

(-1, 2)

b)

(0, 2)

c)

(4, 3)

d)

(5, -2)

87.

Andrew and Adrian are selling soap to make a little extra cash. People can either buy bars of soap or bath bombs. Andrew sold 3 bars of soap and 2 bath bombs for a total of $44.00, and Adrian sold 8 bars of soap and 2 bath bombs for a total of $84.00. What is the cost of one bar of soap and one bath bomb?

a)

bar of soap = $ 4.00

bath bomb = $11.00

b)

bar of soap = $ 8.00

bath bomb = $10.00

c)

bar of soap = $10.00

bath bomb = $ 8.00

d)

bar of soap = $ 4.00

bath bomb = $ 4.00

88.

Solve the system of equations below by graphing:

6x - 3y = 3

2x - y = 4

a)

(6, 2)

b)

(9, 1)

c)

No solution

d)

Infinitely many solutions

89.

Solve the system of equations by graphing.

y = 1/4 x + 2

y = 7/4 x - 4

a)

(3, 4)

b)

(-3, 4)

c)

(4, 3)

d)

(-4, -3)

Similar Resources on Wayground

2025 3rd Quarter Review

85 questions

2025 3rd Quarter Review

quiz

Worksheet

•

9th Grade

Algebra EOC practice

90 questions

Algebra EOC practice

quiz

Worksheet

•

9th - 12th Grade

Tecnologia

92 questions

Tecnologia

quiz

Worksheet

•

8th Grade

Algebra 1 Semester 1 Exam Review

90 questions

Algebra 1 Semester 1 Exam Review

quiz

Worksheet

•

9th - 12th Grade

Percent/Ratio/Proportion

85 questions

Percent/Ratio/Proportion

quiz

Worksheet

•

9th - 12th Grade

MP Recovery

85 questions

MP Recovery

quiz

Worksheet

•

9th - 12th Grade

Chapter 4 Review - Triangle Relationships

86 questions

Chapter 4 Review - Triangle Relationships

quiz

Worksheet

•

9th - 11th Grade

3rd Nine Weeks Exam

85 questions

3rd Nine Weeks Exam

quiz

Worksheet

•

9th Grade