Quiz about Two Step Equations

Question 1

Solve for x:
2(3x + 4) + 2 = 4 + 3x

Accepted Answer

-2

Answer

2

Answer

-2/3

Answer

10

Question 2

Solve for x:
7 - 5x = 12

Accepted Answer

-1

Answer

1

Answer

-6

Answer

6

Question 3

Solve for x:
7 - 2(10x + 1) = 25

Accepted Answer

-1

Answer

2/5

Answer

2

Answer

1

Question 4

What is the first step to solve this equation:
11 - 3x = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 5

Solve -3x + 5 = -16

Accepted Answer

7

Answer

9

Answer

8

Answer

-7

Question 6

Question 6.

Accepted Answer

One of the steps for this problem is to subtract 4 from both sides.

Answer

One of the steps for this problem is to subtract 3 from both sides.

Answer

One of the steps for this problem is to add 4 on both sides.

Answer

One of the steps for this problem is to multiply by -15 on both sides.

Question 7

There are 15 animals in a barn. These animals are horses (x) and chickens (y). 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

Question 8

Nancy went to the grocery story. On Monday she purchased 4 apples (x) and 6 bananas (y) for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Accepted Answer

4x + 6y = 13
3x + 7y = 13.5

Answer

4x + 6y = 3
13.5x - 13y = 6

Answer

x + y = 4
x - y = 6

Answer

4x - 6y = 13
3x - 7y = 13.5

Question 9

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

Accepted Answer

S + A = 530
3S + 4A = 1740

Answer

S + A = 530
4S + 3A = 1740

Answer

S + A = 1740
3S + 4A = 530

Answer

S + A = 1740
4S + 3A = 530

Question 10

Yazzy 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 Yazzy 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 11

On Monday Jay 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 12

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 13

Which variable will be eliminated?

Accepted Answer

x

Answer

y

Question 14

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. Find the cost of each type of ticket. 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 15

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

Accepted Answer

t + n = 54
t = 3n + 8

Answer

t + n = 54
n = 3t + 8

Answer

t + n = 54
t = 3n - 8

Answer

t + n = 8
t = 3n + 54

Question 16

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold? (Define your variables!)

Accepted Answer

S + A = 530
3S + 4A = 1740

Answer

S + A = 530
4S + 3A = 1740

Answer

S + A = 1740
3S + 4A = 530

Answer

S + A = 1740
4S + 3A = 530

Question 17

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 18

solve using elimination

Accepted Answer

(3,-2)

Answer

(2,4)

Answer

(3,4)

Answer

(2,3)

Question 19

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Accepted Answer

4x + 6y = 13
3x + 7y = 13.5

Answer

4x + 6y = 3
13.5x - 13y = 6

Answer

x + y = 4
x - y = 6

Answer

4x - 6y = 13
3x - 7y = 13.5

Question 20

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

Accepted Answer

3x + 2y = 315
2x + 4y = 450

Answer

3x + 2y = 450
2x + 4y = 315

Answer

2x + 2y = 315
3x + 4y = 450

Two Step Equations

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics