Quiz about system of equations

Question 1

What is the solution to the system of equations graphed below?

Accepted Answer

One Solution: (3, 1)

Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution: (1, 3)

Question 2

What is the solution to the system of equations graphed below?

Accepted Answer

One Solution: (-2, 1)

Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution: (1, -2)

Question 3

What is the solution to the system of equations graphed below?

Accepted Answer

One Solution: (4, 2)

Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution: (2, 4)

Question 4

What is the solution to the system of equations graphed below?

Accepted Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution: (0, 4)

Answer

One Solution: (0, 6)

Question 5

What is the solution to the system of equations graphed below?

Accepted Answer

Infinite Solutions

Answer

No Solution

Answer

One Solution: (0, 2)

Answer

One Solution: (2, 6)

Question 6

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 7

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 8

How many solutions does the system of equations below have?

Accepted Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution

Question 9

A system of equations with one solution will have lines that...

Accepted Answer

cross in one place

Answer

are the same

Answer

are parallel and never touch

Question 10

A system of equations with no solution will have lines that...

Accepted Answer

are parallel and never touch

Answer

are the same

Answer

cross in one place

Question 11

A system of equations with infinitely many solutions will have lines that...

Accepted Answer

are the same

Answer

cross in one place

Answer

are parallel and never touch

Question 12

Parallel Lines never intersect because...

Accepted Answer

they have the same slopes.

Answer

they have the same y-intercept.

Answer

they have different slopes.

Answer

they have different y-intercepts.

Question 13

Solve:
y = -1x - 5
4x - 8y = 4

Accepted Answer

(-3, -2)

Answer

(5, -7)

Answer

(3, 9)

Answer

(-5, 4)

Question 14

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

a hoppy hippo

Question 15

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

Accepted Answer

(1, 9)

Answer

(4, 14)

Answer

(0, 1)

Answer

(2, 4)

Question 16

Solve:
y = 4x - 10
y = 3x - 5

Accepted Answer

(5 , 10)

Answer

(7 , -15)

Answer

(1, -5)

Answer

(1, 2)

Question 17

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 18

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 19

Solve:
y= 4x + 9
y = 5x + 10

Accepted Answer

(-1, 5)

Answer

(9, 19)

Answer

(-1, -1)

Answer

(9, 1)

Question 20

What is the solution to the system?

Accepted Answer

(6, 8)

Answer

(8, 6)

Answer

(-6, 8)

Answer

No solution

Question 21

What is the solution?

Accepted Answer

No solution

Answer

(0, 2)

Answer

(0, -4)

Answer

(3, -3)

Question 22

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

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

same lines

Question 23

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 24

Solve by elimination:
4x+9y=28
-4x-y=-28

Accepted Answer

(7,0)

Answer

(-7,0)

Answer

(6,0)

Answer

(-6,0)

Question 25

Solve by elimination:
3x+7y=23

-3x-7y=-17

Accepted Answer

No solution

Answer

ARN

Answer

(-3,3)

Answer

(3,3)

Question 26

Solve for x and y
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 27

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

Accepted Answer

x + y = 12
45x+52y=561

Answer

x + y = 561
45x+52y=12

Answer

x + y = 12
52x+45y=561

Answer

x + y = 561
52x+45y=12

Question 28

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 29

Question 29.

Accepted Answer

(2, 2)

Answer

(2, -2)

Answer

(-2, 2)

Answer

(-2, -2)

Question 30

Question 30.

Accepted Answer

No Solution

Answer

Infinitely Many Solutions

Question 31

The solution (x, y) to a system of equations is the point where they...?

Accepted Answer

Intersect

Answer

Run off the graph

Answer

Don't touch

Answer

Exist

Question 32

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

Accepted Answer

1

Answer

0

Answer

Undefined

Answer

-1

Question 33

When does a system of equations have no solutions?

Accepted Answer

When the slopes are the same

Answer

When the lines cross

Answer

When slopes of the lines are different

Answer

There is ALWAYS a solution sir!

Question 34

Which of these is NOT one of the methods I showed you for solving systems of linear equations?

Accepted Answer

Frustration

Answer

Elimination

Answer

Substitution

Answer

Graphing

Question 35

Parallel lines have ____ solution(s).

Accepted Answer

No

Answer

One

Answer

Many

Question 36

Intersecting lines have _____ solution(s).

Accepted Answer

One

Answer

No

Answer

many

Question 37

Two equations that produce the same line have _____ solution(s).

Accepted Answer

infinitely many

Answer

no

Answer

one

Question 38

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 39

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 40

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 41

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 42

Which graph represents a system of equations with no solution?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

None of the above

Question 43

A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.

Accepted Answer

r + 4m = 370
r + 6m = 530

Answer

r - 4m = 370
r - 6m = 530

Answer

m + 4r = 370
m + 6r = 530

Answer

m - 4r = 370
m - 6r = 530

Question 44

Chase wants to divide $400 between Dylan and Josh.  He wants to give Josh 25 more dollars than Dylan how much should each person get?

Accepted Answer

Dylan $187.50
Josh $212.50

Answer

Dylan $200
Josh $200

Answer

Dylan $190
Josh $210

Answer

Dylan $195
Josh $205

Question 45

What is the solution to this system of linear equations?

y - 3x = 0 and

y = 3x

Accepted Answer

There are infinitely many solutions.

Answer

The only solution is (0, 3).

Answer

There is no solution.

Answer

The only solution is (0, 0).

Question 46

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

(0, -1.5)

Question 47

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

Accepted Answer

(3,1)

Answer

(1,3)

Answer

(-3,1)

Answer

(3,-1)

Question 48

A ________________ is a set of two or more equations that have the same variables.

Accepted Answer

system of equations

Answer

solution of a system

Answer

elimination method

Answer

table

Question 49

The ordered pair that satisfies all equations in the system.

Accepted Answer

solution of a system

Answer

system of equations

Answer

function

Answer

graph

Question 50

What kind of lines have no solution to a system of equations

Accepted Answer

Parallell Lines

Answer

Overlapping lines

Answer

Intersecting Lines

Answer

Skew Lines

Question 51

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

Accepted Answer

(2, 3)

Answer

(-2, -3)

Answer

(3, 2)

Answer

(-3, 2)

Question 52

What is the solution to this system?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 53

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

Question 54

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 55

Graph both equations. What point do they intersect at?
y = 2x
y = 3x + 1

Accepted Answer

(-1, -2)

Answer

(2, 1)

Answer

(2, 4)

Answer

(-2, -3)

Question 56

Graph both equations. What point do they intersect at?
y = x + 3
y = -x - 1

Accepted Answer

(-2, 1)

Answer

(1, 3)

Answer

(-1, 0)

Answer

(3, -1)

Question 57

Graph both equations. What point do they intersect at?
y = x
y = -x

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

(2, 2)

Answer

(1, -1)

Question 58

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 59

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 60

What are systems of linear equations?

Accepted Answer

a set of two or more linear equations in the same variables

Answer

a polynomial with three terms

Answer

set of two or more linear inequalities in the same variables

Question 61

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 62

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

Question 63

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

system of equations

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