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# Linear Equations & Inequalities in Algebra: Help and Review 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. 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 2 2. Which graph represents a linear equation?

#### Question 3 3. What is the slope of a line that is perpendicular to y = 3x + 1?

#### Question 4 4. If 3x - a = 2, then x =

#### Question 5 5. 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 6 6. 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 7 7. Solve for x: x/2 + 1/6 = x - 1/3

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

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

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

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#### Question 11 11. 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?

#### Question 12 12. The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down the ride, 260 people ride it and $815 is collected. How many adults rode the coaster?

#### Question 13 13. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

#### Question 14 14. Solve for x: 2x = -18

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Question 15
15.
Which equation represents a valid first step to solving the following system of equations using the elimination method if our next step is to add the equations together to eliminate the *x* variable?

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

*x*variable?

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#### Question 16 16. When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?

#### Question 17 17. Solve for x: 8x - 7 = 5x + 8

#### Question 18 18. Which statement would be represented by an inequality?

####
Question 19
19.
Solve the system of equations below:

y = 3x - 5

y = -2x + 10

#### 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. 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 22 22. If 5az + 3z = 24, then z =

####
Question 23
23.
Which of these equations represents a line that is **perpendicular** to the line in the graph below?

#### Question 24 24. 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?

#### Question 25 25. Solve for x: x - 10 = 3

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#### Question 26 26. Solve: -9x > -81

#### Question 27 27. Solve: 2x + 7 < 5x +19

#### Question 28 28. What is the equation of a line with slope of 2 and a y-intercept of -6?

####
Question 29
29.
Which of the following represents a valid first step to solving this system of equations using the substitution method?

2x - y = 7

x = 2y - 1

#### Question 30 30. If x - y = 7 and 2x + 5y = 0, then y =

#### Linear Equations & Inequalities in Algebra: Help and Review 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!