# McDougal Littell Algebra 1 Chapter 7: Systems of Linear Equations & Inequalities Chapter Exam

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#### Question 1 1. What part of this graph is the solution area?

#### Question 2 2. How many more equations are needed to complete this linear system with three variables?

#### Question 3 3. If 5x + 2y = 9 and -3x + 6y = 9, then y =

#### Question 4 4. Which graph does NOT represent a system of equations?

#### Question 5 5. If two equations produce a false statement in a linear system in three variables, how many solutions does this system have?

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#### Question 6 6. An open dot on a number line signifies that _____.

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Question 7
7.
Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

#### Question 8 8. Which method can be used to solve any system of linear equations in two variables?

#### Question 9 9. How many solutions does this system have?

#### Question 10 10. Craig is new at Bleachy Clean Cleaning Services. He needs to make 12 gallons of cleaner with a 15% concentration of bleach. He only has cleaners with 10% and 30% solutions. How many gallons of the 10% solution will he need?

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#### Question 11 11. At the end of his weekly shopping excursion, Mr. Archer has purchased six pairs of pants and five pairs of socks for $348. The next day, he realizes he needs one more pair of pants and two pairs of socks, which he buys for $72. If the prices for all the pants are equal, as are the prices for all the socks, what is the cost of one pair of socks?

#### Question 12 12. This graph corresponds to which inequality?

#### Question 13 13. If 6x - 3y = -12 and 2x + 2y = -10, then y =

#### Question 14 14. How many solutions does this system have?

#### Question 15 15. Today, Archie is 27 years older than his son, Peyton. In 4 years, Archie will be 3 years shy of 4 times Peyton's age. How old is Archie today?

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#### Question 16 16. This graph corresponds to which inequality?

#### Question 17 17. Solve this system.

#### Question 18 18. If you don't see a variable listed in a linear system in three variables, you should note that the variable has a coefficient of:

#### Question 19 19. Which of the following will work?

#### Question 20 20. If 4x - 7y = 14 and 2x - 4y = 6, then y =

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####
Question 21
21.
Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

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Question 22
22.
Solve.

x - y = 6

x + y = 10

#### Question 23 23. Two companies charge different amounts for renting a car. Company A charges a lot up front, but not much per day. Company B lets you have the car for cheap, but then makes you pay a lot every day you have the car. If we have two equations that represent these two companies, and we solve this system of equations, what will we find?

#### Question 24 24. At George and Michael's lemonade stand, they can hold 17 cups of lemonade in one large pitcher and two small pitchers. If one small pitcher is filled from a large pitcher, two cups are left in the large pitcher. When full, how many cups of lemonade can the large pitcher hold?

####
Question 25
25.
Solve the following system of equations:

2x - 3y = 21 and 5x + 4y = 18

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#### Question 26 26. If x + y = 6 and 3x + 2y = 4, then y =

####
Question 27
27.
Which equation represents the first step to solving the following system of equations using the elimination method?

2x - 2y = 5 and -4x + 5y = 11

####
Question 28
28.
Solve this system.

x + y = 6

y = 2x

#### Question 29 29. If x - y = 7 and 2x + 5y = 0, then y =

#### Question 30 30. What is the first step in the substitution method?

#### McDougal Littell Algebra 1 Chapter 7: Systems of Linear Equations & Inequalities 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!