Quiz about Solving Systems of Linear Equations

Question 1

^{A system of linear equations is shown. What is the solution to the system?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 2

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 3

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

Accepted Answer

TRUE

Answer

FALSE

Question 4

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

Accepted Answer

(-3,-8)

Answer

(-8,-3)

Answer

(3,-8)

Answer

(8,3)

Question 5

What is the solution to this system?

Accepted Answer

(-2,2)

Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Question 6

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 7

When you graph two linear equations and they form the same line,

Accepted Answer

you will have infinite solutions.

Answer

you will have no solution.

Answer

you will have one solution.

Answer

you will graph a giraffe.

Question 8

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

Accepted Answer

(3, 19)

Answer

(1, 12)

Answer

(5, 25)

Answer

(0, 10)

Question 9

Parallel Lines have how many solutions?

Accepted Answer

No Solutions

Answer

One Solution

Answer

Infinitely Many Solutions

Answer

As many solutions as you want

Question 10

Intersecting Lines have how many solutions?

Accepted Answer

One Solution

Answer

Infinitely Many Solutions

Answer

No Solutions

Answer

As many solutions as you want

Question 11

A system of linear equations with NO SOLUTIONS will have which of the following characteristics?

Accepted Answer

Same Slope but Different Y-Intercepts

Answer

Different Slopes but Y-Intercepts doesn't matter

Answer

Same Slope Same Y-Intercept

Answer

No Slopes and X-Intercepts

Question 12

A system of linear equations that has ONE SOLUTION will have which of the following characteristics?

Accepted Answer

Different Slopes

Answer

Same Slope but Different Y-Intercepts

Answer

Same Slope Same Y-Intercept

Answer

No Slopes and X-Intercepts

Question 13

Coincident Lines, two linear equations that form the same line, have how many solutions?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No Solutions

Answer

As many solutions as you want

Question 14

A system of equations with infinite solutions have which of the following characteristics?

Accepted Answer

Same Slope and Same Y-Intercept

Answer

Same Slope but Different Y-Intercepts

Answer

Different Slopes but Y-Intercepts doesn't matter

Answer

No Slopes and X-Intercepts

Question 15

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

Accepted Answer

y = 2x - 3

2y = 4x + 6

Answer

y = x + 2

y = 2x + 1

Answer

y = -3

x = -4

Answer

y = 2x + 4

Question 16

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

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 17

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 18

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 19

Solve the following system by graphing.  What is the solution?

Accepted Answer

(3, 3)

Answer

Infinite number of solutions

Answer

(3, -3)

Answer

(-3, 3)

Question 20

How many solutions does this system of equations have?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

Two Solutions

Question 21

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 22

If a system of equations has infinitely many solutions, what does the graph look like?

Accepted Answer

the same line (coinciding lines)

Answer

intersecting lines

Answer

parallel lines

Answer

skew lines

Question 23

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

the same line (coinciding lines)

Question 24

Is (1,10) a solution to

y=7x+5

y=x+9

Accepted Answer

no

Answer

yes

Question 25

Is (1,7) a solution for

y=3x+4

y=x+6

Accepted Answer

yes

Answer

no

Question 26

This system has _____ solutions

Accepted Answer

1

Answer

0

Answer

2

Answer

Infinitely many

Question 27

Without graphing, decide if the system, y = x - 4 and y = x - 3 has one solution, infinitely many solutions, or no solution.

Accepted Answer

no solution, the slopes are the same and the y-intercepts are different

Answer

one solution, equations have the different slopes

Answer

two solution, the lines intersect at two points

Answer

infinitely many solutions, the slope and the y-intercept are the same

Question 28

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has ONE SOLUTION.

Accepted Answer

y = 1/2x + 2

Answer

y = 2x + 4

Answer

-2x + y = -3

Answer

2y = 4x - 6

Question 29

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has NO SOLUTIONS.

Accepted Answer

y = 2x + 4

Answer

y = 1/2x + 2

Answer

-2x + y = -3

Answer

2y = 4x - 6

Question 30

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has INFINITELY MANY SOLUTIONS.

Accepted Answer

2y = 4x - 6

Answer

y = 2x + 4

Answer

y = 1/2x + 2

Answer

2x + y = -3

Question 31

Solve the following system by graphing.  What is the solution?

Accepted Answer

(4, 2)

Answer

(-4, 2)

Answer

(2, -4)

Answer

(2, 4)

Question 32

Solve the system by graphing:
y = 6x - 4
y = -x + 3

Accepted Answer

(1, 2)

Answer

(2, 1)

Answer

(4, 5)

Answer

(2, 4)

Question 33

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 34

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

Accepted Answer

y = 9.65x + 43
y = 8.40x + 58

Answer

y = 9.65 + x
y = 8.40 + x

Answer

y =9.65x
y = 8.40x

Answer

y = 9.65x - 43
y = 8.40x - 58

Question 35

What is the solution to this system of linear equations?
Use substitution.

y = -2x - 6
-2x + y = 6

Accepted Answer

(-3, 0)

Answer

(0, -3)

Answer

(-3, -12)

Answer

(3, -12)

Question 36

Match a sentence with this equation: $C\ =\ 7.50p\ +\ 3.00$

Accepted Answer

Pizza Planet charges $7.50 per pizza with a $3.00 delivery fee

Answer

JB's Deli charges $ 0.75 for each pizza and $3.00 per topping

Answer

Sally's Pizza charges $3.00 per pizza with a $7.50 delivery fee

Answer

Pizza Time charges $7.50 for each pizza and $.30 for the delivery fee

Question 37

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee.

Accepted Answer

y = 5x + 30

Answer

y = 30x + 5

Question 38

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

Accepted Answer

y = 30x + 20

Answer

y = 20x + 30

Answer

y = 50x

Answer

y = 60x

Question 39

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 40

Is the function represented by the table linear or nonlinear?

Accepted Answer

Linear

Answer

Nonlinear

Question 41

Is this function linear or nonlinear?

Accepted Answer

Linear

Answer

Nonlinear

Question 42

Is the graph pictured a linear or nonlinear function?

Accepted Answer

Nonlinear

Answer

Linear

Question 43

Is the table linear or nonlinear?

Accepted Answer

Nonlinear

Answer

Linear

Question 44

Is this function linear or nonlinear?

Accepted Answer

Nonlinear function

Answer

Linear function

Question 45

Which graph is linear?

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph B

Answer

Graph C

Question 46

Which equation(s) represent nonlinear functions?

Accepted Answer

Equation 1, only

Answer

Equations 1 and 3, only

Answer

Equations 1, 2, and 3, only

Answer

Equations 1, 2, 3, and 4

Question 47

Which equations represent linear functions?

Accepted Answer

Equations 1 and 4, only

Answer

Equations 1 and 2, only

Answer

Equations 2 and 3, only

Answer

Equations 1, 3, and 4, only

Question 48

Is the following equation linear or nonlinear?

HINT: use your calculator to graph the equation to look at the graph

Accepted Answer

Nonlinear

Answer

Linear

Question 49

Is the following equation linear or nonlinear?

HINT: use your calculator to graph the equation to look at the graph

Accepted Answer

Linear

Answer

Nonlinear

Question 50

Between 4 and 8 seconds the helicopter's speed is .....................

Accepted Answer

Increasing

Answer

Decreasing

Answer

Stationary

Question 51

According to the graph how far does the person travel in the first 5 seconds?

Accepted Answer

5 m

Answer

2 m

Answer

10 m

Answer

0 m

Question 52

What is the rate of the bicycle from 9am to 11 am?

Accepted Answer

15 miles/hour

Answer

20 miles/hour

Answer

30 miles/hour

Answer

60 miles/hour

Question 53

Between which seconds is the line INCREASING?

Accepted Answer

Between 1 and 5 seconds

Answer

Between 7 and 12 seconds

Answer

Between 0 and 1 seconds

Answer

Between 12 and 13.5 seconds

Question 54

Between which seconds is the line DECREASING?

Accepted Answer

Between 12 and 13.5 seconds

Answer

Between 7 and 12 seconds

Answer

Between 0 and 1 seconds

Answer

Between 1 and 5 seconds

Solving Systems of Linear Equations

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics