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# Linear Equations & Systems Lesson Plans 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. If 2x + bx = 2 - b, then x =

#### Question 2 2. Solve for x: 8x - 7 = 5x + 8

#### Question 3 3. For which of these line equations is the WRONG slope given?

####
Question 4
4.
Remove the parentheses.

10(*x* - 1)

10(

*x*- 1)

#### Question 5 5. Solve for x: 2x = -18

### Page 2

#### Question 6 6. 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 7 7. Which linear equation has the solutions (2, 4) and (-2, 6)?

#### Question 8 8. If we have four variables, then how many equations will we have in our system of linear equations?

#### Question 9 9. Solve the following system of equations.

####
Question 10
10.
Solve.

2(4*x* - 3) = 0

2(4

*x*- 3) = 0

### Page 3

#### Question 11 11. What is the equation of the graph below?

####
Question 12
12.
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?

#### Question 13 13. Solve for x: x/2 + 1/6 = x - 1/3

#### Question 14 14. Which of the following is a solution to the system of equations shown in the graph below?

#### 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?

### Page 4

#### Question 16 16. Solve for x: 4(x - 3) = -4

####
Question 17
17.
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 18 18. Which graph represents a linear equation?

#### Question 19 19. What is the slope of a line that is perpendicular to y = 3x + 1?

#### Question 20 20. What is the equation of a line with slope of 2 and a y-intercept of -6?

### Page 5

#### Question 21 21. 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?

#### Question 22 22. Which pattern of numbers represents a linear equation?

#### Question 23 23. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

####
Question 24
24.
Solve.

-12 + 6(2*x* - 2) = 0

-12 + 6(2

*x*- 2) = 0

#### Question 25 25. Which linear equation is shown below?

### Page 6

####
Question 26
26.
Consider the following two car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals charges 25 cents per mile with no upfront fee. If *TC* represent the total cost for the car, and *n* represents the number of miles, which of the following systems of equations best represents this situation?

####
Question 27
27.
Solve the following system of equations:

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

#### Question 28 28. 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 29 29. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

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

#### Linear Equations & Systems Lesson Plans 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!