Quiz about System of Equations Inspection

Question 1

What is the solution to this system?

Accepted Answer

(-2,2)

Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Question 2

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 3

What is the solution to the system?

Accepted Answer

No solution

Answer

(0, 2)

Answer

(0, -4)

Answer

(3, -3)

Question 4

What is the solution to the system?

Accepted Answer

(6, 8)

Answer

(8, 6)

Answer

(-6, 8)

Answer

No solution

Question 5

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 6

Solve using substitution.
x - 2y = 2
3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 7

Solve using substitution.
2x - 2y = 2
5x + y =14

Accepted Answer

(2.5, 1.5)

Answer

(4, 5)

Answer

(1.5, 5)

Answer

(1, 2.25)

Question 8

Solve using elimination.
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 9

Solve the system of equations:

Accepted Answer

(3,-4)

Answer

(3,4)

Answer

(-3,-4)

Answer

(-3,4)

Question 10

Solve the system of equations:

Accepted Answer

(0,-3)

Answer

(0,3)

Answer

(0,3)

Answer

(3,0)

Question 11

Solve the system of equations.
-8x + 7y = 9
x = -2

Accepted Answer

(-2, -1)

Answer

(-2, 3)

Answer

(-1, -2)

Answer

(-2, 5)

Question 12

Solve the system of equations.
x + 3y = -17
2x + 3y = -7

Accepted Answer

(10 , -9)

Answer

(1, -20)

Answer

(3, 0)

Answer

(-5, -2)

Question 13

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 14

Solve for x and y using elimination:

3x + 2y = 16

7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 15

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 16

Solve the system given:
3x - y = 7
2x + y = 3

Accepted Answer

(2,-1)

Answer

(-1,2)

Answer

(5,4)

Answer

(4,5)

Question 17

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 18

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 19

x - y = -2
y = -2

Accepted Answer

(-4,-2)

Answer

(1,-2)

Answer

(-1,-2)

Answer

(4,-2)

Question 20

When you graph the exact same equation twice,

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 21

What are the three methods we have learned to solve Systems of Equations?

Accepted Answer

Graphing, Substitution, and Elimination

Answer

Drawing, Consolidation, and Emancipation

Answer

Reading, Revocation, and Fluctuation

Answer

Radicalizing, Reformation, and Graduation

Question 22

How many solutions will this system have?

Accepted Answer

One

Answer

Two

Answer

No Solution

Answer

Infinitely Many Solutions

Question 23

Find the solution:
2x-5y=15
3x+y=31

Accepted Answer

(10,1)

Answer

(13, -8)

Answer

(-10,-7)

Answer

No Solution

Question 24

2x + y = 10
y = -2x + 13

Accepted Answer

no solution

Answer

(-2, 17)

Answer

(2, 6)

Answer

all solutions

Question 25

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

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

perpendicular lines

Answer

coinciding lines

Question 26

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

coinciding lines

Question 27

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Accepted Answer

yes

Answer

no

Question 28

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

Accepted Answer

(5, -8)

Answer

(5, 8)

Answer

(-5, -18)

Answer

(-5, 8)

Question 29

John and Vicki are training for a 5km race.  John has already run 20 kilometers and plans to run 10 kilometers each day.  Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?

Accepted Answer

John: y = 10x + 20  Vicki: y = 5x + 30

Answer

John: y = 20x + 10    Vicki: y = 30x + 5

Answer

John: y = 10x + 20    Vicki: y = 30x + 5

Answer

John: y = -10x + 20  Vicki: y = 5x + 30

Question 30

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 31

Two numbers have a sum of 25.

One number is five more than the other number.

Find the numbers. Solve using any method.

Accepted Answer

The two numbers are 10 and 15.

Answer

The two numbers are 10 and 5.

Answer

The two numbers are 20 and 5.

Answer

The two numbers are 15 and 20.

Question 32

Angelina spent $16 for a total of 12 pieces of candy, chocolate bars and lollipops. Each chocolate bar costs $2 and each lollipop costs $1.

How many chocolate bars and lollipops did Angelina buy?

Accepted Answer

4 chocolate bars and 8 lollipops

Answer

8 chocolate bars and 4 lollipops

Answer

2 chocolate bars and 10 lollipops

Answer

5 chocolate bars and 7 lollipops

Question 33

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 34

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

Accepted Answer

x + y = -10
x - y = -2

Answer

x - y = -10
x + y = -2

Answer

x = -2
y = 5

Answer

x + y = -2
x - y = -10

Question 35

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

Accepted Answer

x + y = 49
20x + 50y = 1430

Answer

x + y = 1430
20x + 50y = 49

Answer

x + y = 49
10x + 5y = 1430

Answer

x + y = 49
x + y = 1430

Question 36

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

Accepted Answer

(29, 26)

Answer

(26, 23)

Answer

(26, 29)

Answer

(29, 32)

Question 37

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

Accepted Answer

x + y = 1550
y = 4x

Answer

x + y = 1550
y = x + 4

Answer

y - x = 1550
y = 4x

Answer

y = 1550 + x
y = x + 4

Question 38

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 39

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Accepted Answer

Van 14
Bus 43

Answer

Van 43
Bus 14

Answer

Van 11
Bus 21

Answer

Van 17
Bus 45

Question 40

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Accepted Answer

Adult $12
Child $13

Answer

Adult $13
Child $5

Answer

Adult $10
Child $6

Answer

Adult $8
Child $16

Question 41

Two small pitchers and one large pitcher can hold 8 cups of water.  One large pitcher minus one small pitcher constitutes 2 cups of water.  How many cups of water can each pitcher hold?

Accepted Answer

4 large, 2 small

Answer

8 large, 2 small

Answer

6 large, 4 small

Answer

2 large, 2 small

Question 42

A test has twenty questions worth 100 points.  The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each.  How many multiple choice questions are on the test?

Accepted Answer

5 multiple choice

Answer

20 Multiple Choice

Answer

10 Multiple CHoice

Answer

15 Multiple Choice

Question 43

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

Accepted Answer

4x + 7y = 3365
x + y = 578

Answer

4x + 7y = 578
x + y = 3365

Answer

4y + 7x = 578
x + y = 3365

Answer

4y + 7x = 3365
x + y = 578

Question 44

What Are These Called?

Accepted Answer

Minions

Answer

Penguins

Answer

Gru

Answer

Animated Children

Question 45

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

Accepted Answer

x + y = 33
x = 2y - 3

Answer

x + y = 33
y = 2x - 3

Answer

x + y = 33
x = 3 - 2y

Answer

x + y = 3
x = 33 - 2y

Question 46

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

Accepted Answer

x + y = -10
x - y = -2

Answer

x - y = -10
x + y = -2

Answer

x = -2
y = 5

Answer

x + y = -2
x - y = -10

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