Quiz about Solving System of Equations by Substitution

Question 1

When using substitution to solve a system of equations, you tell when a system has no solution when the resulting equation is always false as in this example 4=5.

Accepted Answer

True

Answer

False

Answer

Both True and False

Answer

I don't have a clue.

Question 2

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1,000 was collected and 150 tickets sold. Use substitution to solve a system of equations to find how many of each kind of ticket were sold?

Accepted Answer

40 student tickets

110 adult tickets

Answer

110 student tickets

40 adult tickets

Answer

50 student tickets

100 adult tickets

Answer

100 student tickets

50 adult tickets

Question 3

Solve this system of equations
y=8x-5
y=2x+19

Accepted Answer

(4,27)

Answer

(1,3)

Answer

(2.4, 23.8)

Answer

(2.5,15)

Question 4

Solve this system of equations
2x+y=9
y=5x+2

Accepted Answer

(1,7)

Answer

(2,5)

Answer

(-1,-3)

Answer

(5,-1)

Question 5

y = -2x + 18
y = 8

Accepted Answer

(5, 8)

Answer

(-5, 8)

Answer

(2, 8)

Answer

(-2, 8)

Question 6

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Accepted Answer

x=3

Answer

x=8

Answer

x=11

Answer

x=5

Question 7

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

Accepted Answer

(-3,-9)

Answer

(3,-9)

Answer

(-3,9)

Answer

(0,1)

Question 8

What is the solution to this system?
x - y = 6
y = 2x - 5

Accepted Answer

(-1,-7)

Answer

(1,3)

Answer

(-1,3)

Answer

(1,-7)

Question 9

What is the solution to this system?
x = 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 10

This system has _____ solutions

Accepted Answer

No

Answer

1

Answer

2

Answer

Infinitely many

Question 11

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 12

If a system of linear equations has one solution, what does this mean about the two lines?

Accepted Answer

Intersecting lines

Answer

Parallel lines

Answer

The same line

Answer

A triangle

Question 13

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 14

How many solutions will this system have?

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

No Clue

Answer

One solution

Question 15

The solution to a system of equations is any ordered pair that makes both equations true.

Accepted Answer

TRUE

Answer

FALSE

Question 16

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 17

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Accepted Answer

Same line

Answer

Intersecting lines

Answer

Parallel lines

Question 18

Solve:
y = 8x + 2
y = -x - 7

Accepted Answer

(-1, -6)

Answer

(1, 10)

Answer

(2, 7)

Answer

(9, 9)

Question 19

Solve the system of equations:
x = 2y
4x + 2y = 15

Accepted Answer

one solution (3, 1.5)

Answer

no solution

Answer

infinitely many solutions

Answer

one solution (3, 6)

Question 20

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 21

Which graph represents a system of equations with infinite solutions?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

None of the above

Question 22

Solve the system of equations.

Accepted Answer

(6, 3)

Answer

(10, 3)

Answer

(15, 3)

Answer

No solution

Answer

Infinite Solution

Question 23

Solve the system of equations.

Accepted Answer

(-2, 10)

Answer

(-6, 30)

Answer

(44, 39)

Answer

No solution

Answer

Infinite solutions

Question 24

Solve:
y = 7x + 9
2y + 2x = -18

Accepted Answer

(-2, -5)

Answer

(5, 0)

Answer

(9, 18)

Answer

(1, 16)

Question 25

What is the solution to this system?
x= 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 26

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

a hoppy hippo

Question 27

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 28

Solve:
y=8x+1
y=6x+3

Accepted Answer

(1, 9)

Answer

(4, 14)

Answer

(0, 1)

Answer

(2, 4)

Question 29

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

Accepted Answer

(5,-2)

Answer

(5, 2)

Answer

(2,3)

Answer

(3,2)

Question 30

Solve the system of equations:
y=2x
x + y = 9

Accepted Answer

(3, 6)

Answer

(6, 3)

Answer

(-3, -6)

Answer

no solution

Question 31

Solve the system of equations using substitution:
y = 4
-x + 3y =8

Accepted Answer

(4, 4)

Answer

(4, -4)

Answer

(-4, 4)

Answer

(-20, 4)

Question 32

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

Accepted Answer

(-1, 3)

Answer

(1, 7)

Answer

(7, 1)

Answer

(2, 9)

Question 33

Solve each system of equations.
y = 3x - 11
2x + 3y = 0

Accepted Answer

(3,-2)

Answer

(-2,3)

Answer

(-3,2)

Answer

(2,-3)

Question 34

-2x - 2y = 16
y = -8

Accepted Answer

(0, -8)

Answer

(-16, -8)

Answer

(-8, 0)

Answer

(-16, -8)

Question 35

Complete the first step ONLY of the following problem

y=2x-3

2x-5y=-8

Accepted Answer

2x-5(2x-3)= -8

Answer

2(2x-3)-5y= -8

Answer

2x-5y(2x-3)= -8

Answer

2(y=2x-3)-5y = -8

Question 36

Complete the first step ONLY of the following problem

2x-3y=-1

x= -3x +2

Accepted Answer

2(-3x+2)-3y = -1

Answer

-3(2x-3y) +2 = -1

Answer

2x(-3x+2)-3y = -1

Answer

2x-3(-3x+2)= -1

Question 37

Complete the first step only

7y - 8x = 10

y= 4x-3

Accepted Answer

7(4x-3) - 8x = 10

Answer

7y(4x-3)-8x = 10

Answer

7y - 8(4x-3)=10

Answer

7y-8x(4x-3) = 10

Question 38

Simplify the expressions (that means use the distributive property)

-2(3x - 5)

Accepted Answer

-6x + 10

Answer

6x - 10

Answer

x - 7

Answer

-6x - 10

Question 39

Simplify the expressions (that means use the distributive property)

4(x + 12)

Accepted Answer

4x + 48

Answer

x + 48

Answer

4 + 48

Answer

4x + 16

Question 40

Solve:
x = -3y - 17
2x + 3y = -7

Accepted Answer

(10 , -9)

Answer

(1, -20)

Answer

(3, 0)

Answer

(-5, -2)

Question 41

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

Accepted Answer

(-4, -2)

Answer

(12, -34)

Answer

(4, -18)

Answer

(-2, -6)

Question 42

Solve the system of equations using substitution:
2x + 3y = -5
x = y + 5

Accepted Answer

(2, -3)

Answer

(-4, 1)

Answer

(6, 1)

Answer

(8, 3)

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