Quiz about Solving Systems of Equations and Inequalities

Question 1

-4x-2y=-12
4x+8y=-24

Accepted Answer

(6,-6)

Answer

(5,6)

Answer

(6,-2)

Answer

(4,-3)

Question 2

x-y=11
2x+y=19

Accepted Answer

(10,-1)

Answer

(-1,10)

Answer

(3,-4)

Answer

(6,7)

Question 3

Lesly 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 4

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 5

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 6

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

Accepted Answer

(-2, -4)

Answer

(2, -4)

Answer

(-2, 4)

Answer

(2, 4)

Question 7

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

Accepted Answer

(4, 2)

Answer

(-4, 2)

Answer

(2, -4)

Answer

(2, 4)

Question 8

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 9

How many solutions?

Accepted Answer

No solution

Answer

One Solution

Answer

Infinitely Many Solutions

Question 10

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 11

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

Accepted Answer

(-2,2)

Answer

(2,2)

Answer

(-2, -2)

Answer

(2,1)

Question 12

5x + 16y = -16
-9x - 8y = 8

Accepted Answer

(0, -1)

Answer

(3, 1)

Answer

(3, -1)

Answer

(-3, -1)

Question 13

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 14

Select the correct graph for each inequality.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 15

Is (0,0) a solution to the system?

Accepted Answer

Solution

Answer

Not a solution

Question 16

Is (-2,4) a solution to the system?

Accepted Answer

Solution

Answer

Not a solution

Question 17

Which of the following is not a solution to this system of inequalities?

Accepted Answer

(0,-1)

Answer

(0,3)

Answer

(4,0)

Answer

(6,-2)

Question 18

Which system of inequalities matches the graph?

Accepted Answer

y > 2x - 4
y < 2

Answer

y > 2x - 4
y < 2

Answer

y < 2x - 4
y < 2

Answer

y < 2x - 4
y < -2

Question 19

Which point below is NOT part of the solution set?

Accepted Answer

(-1, -3)

Answer

(0, 0)

Answer

(5, 1)

Answer

(20, -5)

Question 20

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

Accepted Answer

35 nachos, 52 sodas

Answer

18 nachos, 69 sodas

Answer

52 nachos, 35 sodas

Answer

61 nachos, 26 sodas

Question 21

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. How many of each type of ticket were sold?

Accepted Answer

10 adults, 11 children

Answer

12 adults , 9 children

Answer

11 adults, 10 children

Answer

9 adults, 12 children

Question 22

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 72 feet. What is the area of the rectangle?

Accepted Answer

243

Answer

36

Answer

9

Answer

24

Question 23

Which of the following is a solution to this system of inequalities?

Accepted Answer

(-5,2)

Answer

(0,0)

Answer

(-3,3)

Answer

(-4,0)

Question 24

Which solution of inequalities matches the graph?

Accepted Answer

y > 2x - 4
y < 2

Answer

y > 2x - 4
y < 2

Answer

y < 2x - 4
y < 2

Answer

y < 2x - 4
y < -2

Question 25

Which system of inequalities matches the graph?

Accepted Answer

x > 2
y <- 4

Answer

x> -2
y < -4

Answer

x< 2<br>y> 4

Answer

x > 2
y < 4

Question 26

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

Accepted Answer

b + t < 15
3b + 6t > 66

Answer

b + t > 15
3b + 6t < 66

Answer

3b + 6t > 15
b + t < 66

Answer

3b + 6t < 15
b + t < 66

Question 27

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

Accepted Answer

3s + 1c = 38
3s + 2c = 52

Answer

1s + 3c = 38
2s + 3c = 52

Answer

s + c = 38
s + c = 52

Answer

3s + 3c = 38
1s + 2c = 52

Question 28

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 29

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 30

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?

Accepted Answer

14

Answer

4

Answer

6

Answer

2

Question 31

Define two variables, write a system of equations, then solve. Sue plans to mix peppermints worth $1.20 per lb with chocolates worth $2.40 per lb to get a 40 lb mix that is worth $1.65 per lb. How much of each should she use?

Accepted Answer

25 lbs peppermints, 15 lbs chocolates

Answer

20 lbs peppermints, 20 lbs chocolates

Answer

15 lbs peppermints, 25 lbs chocolates

Answer

30 lbs peppermints, 10 lbs chocolates

Question 32

Aaliyah is 3 times as old as AJ. 4 years ago, Aaliyah was 7 times as old as AJ. How old is Aaliyah now?

Accepted Answer

18

Answer

21

Answer

21

Answer

31

Answer

16

Question 33

Malcolm is 3 times as old as Anthony and is also 14 years older than Anthony. How old is Malcolm?

Accepted Answer

21

Answer

7

Answer

22

Answer

10

Answer

19

Question 34

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Accepted Answer

$10

Answer

$5

Answer

$15

Answer

$20

Question 35

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 72 feet. What is the area of the rectangle?

Accepted Answer

243

Answer

36

Answer

9

Answer

24

Question 36

Eight times a number increased by 9 is the same as 15 more than 7 times the number.  Find the number.

Accepted Answer

6

Answer

-7

Answer

1

Answer

2

Question 37

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

Accepted Answer

x + y = 15
4x + 2y = 44

Answer

4x + 2y = 15
x + y = 44

Answer

x = 2y + 44
4x = y + 15

Answer

2x - 4y = 44
x - y = 15

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