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# Saxon Math 7/6 Homeschool: Problem Solving Strategies Chapter Exam

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 "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. You are expected to do one hour and 15 minutes of math homework. You look up at the clock, which shows the time is 6:40. You started at 5:10. How long have you been doing your homework, and are you done with your expected time?

#### Question 2 2. Alex says that he started doing calculus when he was seven years old. He was born in 1978. If he is correct, in which year did he start doing calculus?

#### Question 3 3. You were supposed to wake up at 6:20 AM. It's now 9:15 AM. How long did you oversleep?

#### Question 4 4. Which of the following is true about solving time elapsed problems?

#### Question 5 5. Using the combination method, you will add two equations together in order to _____. (Select the best answer)

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Question 6
6.
Using the combination method on the two equations below, you could get the *x* variable out of the way by _____.

2*x* + 4*y* = 6

-4*x* + 3*y* = 4

*x*variable out of the way by _____.

*x*+ 4

*y*= 6

*x*+ 3

*y*= 4

####
Question 7
7.
In the three equations below, which variable would be the easiest to eliminate?

2*x* + 3*y* - 2*z* = 0

4*x* - *y* + 4*z* = 6

2*x* = -3*y*

*x*+ 3

*y*- 2

*z*= 0

*x*-

*y*+ 4

*z*= 6

*x*= -3

*y*

####
Question 8
8.
You and a friend have painted a fence. You know that it took 24 hours total to paint the fence, and that you and your friend each did part of the work. You also know that you did twice as many hours of work as your friend did. If *x* is the number of hours you spent, and *y* is the number of hours your friend spent, which of the following would be the correct value for *x*?

#### Question 9 9. What is the first step in solving word problems?

#### Question 10 10. Sam has 4 RED balloons and 8 PURPLE balloons. Judy has 12 RED balloons and 4 ORANGE balloons. How many RED balloons do Sam and Judy have together?

### Page 3

#### Question 11 11. Sam's rabbit recently had a litter of bunnies and so did Lucy's rabbit. Sam's rabbit gave birth to 4 boy and 3 girl bunnies. Lucy's rabbit gave birth to 2 boy and 8 girl bunnies. How many boy rabbits were born altogether?

####
Question 12
12.
Which of the following is the equation to solve the following word problem?

Sam has 4 red balloons and 8 purple balloons. Judy has 12 red balloons and 4 orange balloons. How many red balloons do Sam and Judy have together?

####
Question 13
13.
Given the equation 6*x* = 12 - 18*y*, expressing *x* as the subject gives _____.

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Question 14
14.
Using the comparison method to solve for *x* and *y* in a system of two independent equations, you have written each equation with *x* as the subject. Equating the right-hand sides gives 2*y* - 5 = -3*y*. What is the value for *x*?

####
Question 15
15.
If *x* = 2 + 4*y* and *x* = 9 - 3*y*, then _____.

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Question 16
16.
After equating the right-hand sides of the isolated-subject equations for the variables *x* and *y*, the result is 3*x* - 4 = -2*x* + 6. What is the value for *x*?

####
Question 17
17.
Which equation represents this statement?

Jackie had ten pieces of candy. She ate some and she then had 3 left.

#### Question 18 18. When letters are used in an expression to represent an unknown quantity, they are called _____.

#### Question 19 19. Which of the following is an expression that shows separation? Assume I is the initial quantity, C is the change in quantity, and F is the final quantity.

####
Question 20
20.
Which statement represents the following scenario?

Jack had five crackers and he ate two and then gave two to his baby brother, how many does he have left?

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#### Question 21 21. Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?

####
Question 22
22.
Which of the following is an equation to solve this word problem?

Joe has four blue pens and three green pens. Sarah gives Joe four blue pens and two green pens. Sarah originally had 10 blue pens and 12 green pens. How many blue pens does Sarah now have?

####
Question 23
23.
What operations are needed to solve this word problem?

Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?

#### Question 24 24. When solving a word problem, what should you do after visualizing the problem?

#### Question 25 25. Which operation below can be used to solve equal-groups math problems?

### Page 6

#### Question 26 26. Sam gets his hair cut every two weeks. How many times will Sam get his hair cut in a year?

#### Question 27 27. Francine has a lot of rabbits. Three of her bunnies just gave birth to 8 baby bunnies each. How many baby bunnies did Francine end up with?

#### Question 28 28. The local middle school is holding a science fair. There are a total of 100 students participating. Each group has 4 students. How many groups are at the science fair this year?

#### Question 29 29. You started playing soccer in 2005 and stopped playing in 2013. How many years did you play?

####
Question 30
30.
Susan and Andy are hosting a formal dinner. They will have twelve guests, each of whom will either have ham, beef, or fish. The hosts spent $112 for the meat, with ham at $6 per guest, beef at $12 per guest, and fish at $8 per guest. There are three times as many beef orders as fish orders. If *x* = number of ham orders, *y* = number of beef orders, and *z* = number of fish orders, which of the following systems of equations would be appropriate for this problem?

#### Saxon Math 7/6 Homeschool: Problem Solving Strategies 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 "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!