Quiz about Systems of Equations and Inequalities

Question 1

An inequality using a > or a < has a ___________ line

Accepted Answer

dashed

Answer

invisible

Answer

solid

Question 2

Is (3,-4) a solution to this system?

Accepted Answer

no

Answer

yes

Question 3

Pick the ordered pair that is NOT a solution

Accepted Answer

(0,0)

Answer

(1,-1)

Answer

(2,0)

Answer

(4,-4)

Question 4

Solve the following system of equations:
2x+3y=17
y=4x+1

Accepted Answer

(1,5)

Answer

(-1,-3)

Answer

(1,3)

Answer

(2,4)

Question 5

Solve using any method:
2x+3y=10
-2x+y=14

Accepted Answer

(-4,6)

Answer

(6,-4)

Answer

(4,6)

Answer

(6,4)

Question 6

When you come across a solution that reads 3=4, your answer would be.....

Accepted Answer

no solution

Answer

all real numbers

Answer

3 pizzas = 4 hungry hungry hippos

Answer

one solution

Question 7

When you come across a solution that reads 4=4, your answer is...

Accepted Answer

all real numbers

Answer

no solution

Answer

4

Question 8

The sum of 2 numbers is 33. The smaller number is 8 less than 7 times lager number.
Let x= the smaller number and y=the larger number.
Pick which system of equations follows this problem.

Accepted Answer

x=7y-8
x+y=33

Answer

x=8-7y
x+y=33

Answer

7x+8y=33
x+y=n

Answer

2+x=33
x=8y-7

Question 9

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

Accepted Answer

n+d=17
.05n+.10d=1.35

Answer

.05n+.10d=17
n+d=1.35

Answer

.25n+.10d=1.35
n+d=17

Question 10

Are the points on the boundary line part of the solution set or not?

Accepted Answer

Yes, they are part of the solution set

Answer

No, they are NOT part of the solution set

Question 11

How can I tell if an inequality will have a solid line?

Accepted Answer

The symbol has "or equal to."

Answer

It has an equal sign.

Answer

The symbol is greater than.

Answer

You just guess.

Question 12

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 13

Select the correct graph for each inequality.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

Which would be correct describing the solution for this graph of two inequalities?

Accepted Answer

There is no point that is a solution to this system.

Answer

Any point that is NOT in the pink or blue is a solution to this system.

Answer

Any point that falls in either the pink or blue is a solution to the system.

Answer

Only a point that is on either boundary line is a solution to this system.

Question 15

Which points are solutions to the system shown?

Accepted Answer

(5, 3) (6, -3)

Answer

(3, 3) (5, -3)

Answer

(-2, 2) (-4, 4)

Answer

(1, 2) (1, 5)

Question 16

An exam worth 145 points contains 50 questions.  Some questions are worth two points and some are worth five points.  How many five point questions are on the test?

Accepted Answer

15

Answer

20

Answer

35

Answer

25

Question 17

What type of solution does the system below have?
8x - 4y = 12
y = 2x - 3

Accepted Answer

Infinite solutions

Answer

One solution

Answer

No solution

Question 18

What type of solution does this system have?
2y - 30x = -6
-3y + 45x = 15

Accepted Answer

No solution

Answer

One solution

Answer

Infinite solutions

Question 19

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

Accepted Answer

Solution

Answer

Not a solution

Question 20

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 21

Find the solution to the system.

Accepted Answer

(0, -1)

Answer

(6, 0)

Answer

(1, -1)

Answer

No Solution

Question 22

Graph the system.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 23

What is the value of the y-coordinate of the solution to the system of equations

x - 2y = 2

x + 4y = 8

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 24

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 25

Write the inequalities represented in the picture.

Accepted Answer

4x + 5y > -5 and y < 2/3x + 3

Answer

4x + 5y > 5 and y < 2/3x + 3

Answer

4x - 5y > 5 and y < 2/3x + 3

Answer

4x - 5y > 5 and y < 2/3x + 3

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

Systems of Equations and Inequalities

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