Quiz about Review of System of Equations and Inequalities

Question 1

Check to see if (-2,1) is a solution to the following system:
x+2y=0
4x+3y=1

Accepted Answer

no

Answer

yes

Question 2

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

Accepted Answer

dashed

Answer

invisible

Answer

solid

Question 3

A system of equations that looks like this has ....

Accepted Answer

infinite solutions

Answer

no solution

Answer

one solution

Question 4

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

Accepted Answer

no

Answer

yes

Question 5

Pick the ordered pair that is NOT a solution

Accepted Answer

(0,0)

Answer

(1,-1)

Answer

(2,0)

Answer

(4,-4)

Question 6

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 7

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

Accepted Answer

(-4,6)

Answer

(6,-4)

Answer

(4,6)

Answer

(6,4)

Question 8

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 9

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

Accepted Answer

all real numbers

Answer

no solution

Answer

4

Question 10

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 11

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 12

For the inequality:
y>3x-5
Would you shade (0,0) or shade the other side?

Accepted Answer

shade (0,0)--it is a solution

Answer

Shade the other side--(0,0) is not a solution

Question 13

A point that is on a dashed line is.....

Accepted Answer

not a solution

Answer

a solution

Question 14

Solve the following system:
A farmer is in his field and knows he has 13 animals. His animals are made up of chickens and cows. The farmer can see that he has 34 legs in all but needs to know how many of each animal he has.

Accepted Answer

4 cows, 9 chickens

Answer

4 cows, 2 chickens

Answer

9 cows, 4 chickens

Answer

9 cows, 2 chickens

Question 15

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

Accepted Answer

5,6

Answer

6,5

Answer

4,4

Answer

2,4

Question 16

What is the value of z in the system of equations below?

$$2x-y+z=10$$
$$4x+2y-5z=10$$
$$x-3y+5z=8$$

Accepted Answer

Answer

Answer

Answer

Question 17

What is the solution to the system of three equations?
$$x-y+z=6$$
$$2x+3y+2z=2$$
$$3x+5y+4z=4$$

Accepted Answer

$$\left(2,\ -2,\ 2\right)$$

Answer

$$\left(4,\ -4,\ 4\right)$$

Answer

$$\left(2,\ 2,\ 2\right)$$

Answer

No solution

Question 18

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes. Which system of three equations represents how much food you bought?

Accepted Answer

$$x+y+z=13.5$$
$$6x+3y+z=48.5$$
$$z=2y$$

Answer

$$x-y+z=13.5$$
$$6x-y+z=48.5$$
$$x-y+z=6$$

Answer

$$x+y+z=48.5$$
$$6x+3y+z=13.5$$
$$z=2y$$

Answer

$$x+y+z=13.5$$
$$6x+3y+z=48.5$$
$$z+y=2$$

Question 19

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes. How much of each ingredient did you buy?

Accepted Answer

6 lb meat, 2.5 lb potatoes, 5 lb carrots

Answer

2.5 lb meat, 5 lb potatoes, 6 lb carrots

Answer

0 lb meat, 2.5 lb potatoes, 5 lb carrots

Answer

5 lb meat, 2 lb potatoes, 5 lb carrots

Question 20

The sum of three numbers is 16. The largest number is equal to the sum of the other two, and 3 times the smallest number is 1 more than the largest. What are the three numbers?

Accepted Answer

The numbers are 3, 5, and 8

Answer

The numbers are -4, 5, and 6

Answer

The numbers are 3, 10, and 6

Answer

The numbers are 2, 6, and 8

Question 21

A doctor needs at least 60 adults for a medical study. He cannot use more than 40 men in the study. Write a system of inequalities to model the situation.

Accepted Answer

$$x+y\ge60$$
$$x\le40$$
where x represents the number of men and y represents the number of women; x and y must be whole numbers.

Answer

$$x+y\le60$$
$$x\le40$$
where x represents the number of men and y represents the number of women; x and y must be whole numbers.

Answer

$$x+y\ge40$$
$$x\le60$$
where x represents the number of men and y represents the number of women; x and y must be whole numbers.

Answer

$$x+y\le40$$
$$y\ge60$$
where x represents the number of men and y represents the number of women; x and y must be whole numbers.

Question 22

Write a system of inequalities to describe the shaded figure shown.

Accepted Answer

$$y\ge x-3$$
$$y>-x-3$$
$$y\le2x+4$$
$$y<-\frac{4}{3}x+4$$

Answer

$$y\ge x+4$$

Review of System of Equations and Inequalities

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics