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Writing & Solving Multi-Step Equations Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1.

Solve for y.

x - y = 1

3x - y = 5

Question 2 2. Which of the following has the appropriate number of equations to variables?

Question 3 3. If a problem has four variables, how many equations will it have?

Question 4 4. Sarah has just received a box of chocolates from a dear friend. Her friend tells her that inside the box there are two kinds of chocolate: milk and dark. There are more milk chocolates than dark chocolates. Subtracting the number of dark chocolates from the number of milk chocolates gives 5 as an answer. The number of milk chocolates is twice that of dark chocolates. How many dark chocolates are there?

Question 5 5. If Sammy subtracts his weekend earnings from his weekday earnings, he ends up with $400. His weekday earnings is triple his weekend earnings. What are his weekend earnings?

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Question 6 6. James has a bag of marbles. Inside there are both red and blue marbles. The number of red marbles equals the number of blue marbles minus four. There are twice as many blue marbles as red marbles. How many red marbles are there?

Question 7 7.

Solve.

x + 3z = 10

2x + z = 5

Question 8 8. If your problem has three variables, how many equations will your problem have?

Question 9 9. If your problem has the variables s, t, u, and v, how many equations should you expect your problem to have?

Question 10 10. One number is three times another number. When this one number is multiplied with another number and divided by 2, it is equal to 6. What is the one number?

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Question 11 11. Sarah is thinking of two numbers. The first number is equal to 1 when divided by 2. The first number is also equal to a second number divided by 6. What is the first number equal to?

Question 12 12. One number is three times another number. When this one number is multiplied with another number and divided by 2, it is equal to 6. What is the other number?

Question 13 13.

For this problem, how many equations do you need to write?

Susan has a total of 9 pets. She has both rabbits and cats. She has twice as many rabbits as cats. How many cats does she have?

Question 14 14. Susan has a total of 9 pets. She has both rabbits and cats. She has twice as many rabbits as cats. How many cats does she have?

Question 15 15. If a problem has four unknown values, how many equations should you write?

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Question 16 16.

Solve for x.

4y = x

xy = 16

Question 17 17.

Solve.

3xy = 54

2y = x

Question 18 18.

Solve for y.

4y = x

xy = 16

Question 19 19. The volume of a certain container is 6912. The length and width are twice the height. What is the height?

Question 20 20. The volume of a certain container is 6912. The length and width are twice the height. What is the length?

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Question 21 21. If your problem has six variables, how many equations can you expect?

Question 22 22.

Solve for y.

xy/2 = 16

x = y/2

Question 23 23.

Solve for y.

x/2 = 8

y/x = 2

Question 24 24.

Solve for x.

x/2 = 8

y/x = 2

Question 25 25.

Solve for both variables.

y - x = 3

2y = 12

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Question 26 26. A problem has five unknown values. How many equations do you need to write?

Question 27 27.

Which of the following is the most appropriate next step in solving this problem?

2x + 3y = 18

4y = 16

Question 28 28. Sarah is thinking of two numbers. The first number is equal to 1 when divided by 2. The first number is also equal to a second number divided by 6. What is the second number equal to?

Question 29 29.

For this problem, how many variables are there?

Susan has a total of 9 pets. She has both rabbits and cats. She has twice as many rabbits as cats. How many cats does she have?

Question 30 30.

Solve.

4xy = 72

2x = y

Writing & Solving Multi-Step Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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