# ELM Test - Algebra: Linear Equations & Inequalities 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 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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#### Question 1 1. Scott paddles a canoe upstream in 4 hours, then returns downstream in 1 hour. If the river flows at 3 miles per hour, then what would Scott's paddling speed be in calm water?

#### Question 2 2. 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 3 3. Solve for x: 2x = -18

#### Question 4 4. On a local farm, they are raising pigs and chickens. Together, the farm has 240 animals. There are also 600 legs on the animals combined. How many of each type of animal can be found on the farm?

#### Question 5 5. Jill and Brian divided up $1900 between two investment accounts. Jill's account earns 4% interest and Brian's earns 3%. If their combined interest earns them $70, then how much was originally invested in each account?

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#### Question 6 6. Solve for x: 4x + 8 = 16x + 20

#### Question 7 7. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

#### Question 8 8. Jim and Stacy rent a car for their trip across the United States. To rent the car, it will cost $50 for an initial deposit and $75 each day rented. If y represents the total amount to rent the car and x represents the number of days, which equation would best describe the situation?

#### Question 9 9. Solve for x: x - 10 = 3

####
Question 10
10.
Solve the following system of equations:

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

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#### Question 11 11. The sum of three consecutive integers is 30. What are the three integers?

#### Question 12 12. What equation written in slope intercept form would have a slope of 4 and a y-intercept of 3.5?

#### Question 13 13. A car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots, some that cost $3,000 and some that cost $2,000. If the company is sure that it wants to spend all of its money on 16 new robots, how many of each should it purchase?

#### Question 14 14. Look at the graph. What is the solution to the system of equations?

#### Question 15 15. 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?

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#### Question 16 16. Which graph does NOT represent a system of equations?

#### Question 17 17. Solve for x: x/2 + 1/6 = x - 1/3

#### Question 18 18. If 12x + 6xy = 18y, then x = ?

#### Question 19 19. Jim and Stacy rent a car for their trip across the United States. The equation y=75x + 50 represents the cost of the rental car with y representing the total amount and x representing the number of days. How much would it cost to rent the car for 8 days?

#### Question 20 20. If a guitar costs 25% more than a $900 drum kit, then how much is the guitar?

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#### Question 21 21. Which sentence would be represented by an inequality?

####
Question 22
22.
Solve

5x - 8 < 4x + 15

#### Question 23 23. Solve 3(2x + 4) > -4x

#### Question 24 24. An investor has decided to start a newspaper company. He starts by investing $45,000. Each newspaper will cost him $.20 to make and he plans to sell each one for 1.00 each. How many newspapers must he sell to break even?

#### Question 25 25. Solve: 5x - 8 ≤ 6 - 2x

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####
Question 26
26.
Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

#### Question 27 27. Solve for x: 8x - 7 = 5x + 8

#### Question 28 28. Which graph represents a linear equation?

#### Question 29 29. 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 30 30. If 5az + b = 2z, then z =

#### ELM Test - Algebra: 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!