# GRE - Equations and Expressions: 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!

### Page 1

#### Question 1 1. What is the solution to the system of equations shown in the graph below?

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Question 2
2.
Which equation represents the first step to solving the following system of equations using the substitution method?

2x - y = 7

x = 2y - 1

#### Question 3 3. If a question requires us to know the value of y-x, but all we know is that x+2=y, what can we do?

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Question 4
4.
Solve the following system of equations:

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

#### Question 5 5. Which of these equations represents a line that is perpendicular to the line in the graph below?

### Page 2

#### Question 6 6. Solve the equation: |2x-5|=5.

#### Question 7 7. Which graph does NOT represent a system of equations?

#### Question 8 8. Solve the equation: |2x + 5| = 11.

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Question 9
9.
Subtract: (*x*3 + *x*3 + 6) - (*x*3 - 2*x* + 1)

#### Question 10 10. 'Solve the equation' means to _____.

### Page 3

#### Question 11 11. What is the equation of a line that passes through the points (2, 4) and (-2, 6)?

#### Question 12 12. Solve the equation: 3|x - 2| - 1 = 11.

#### Question 13 13. Solve the equation: |x+8| = -1.

#### Question 14 14. Which graph represents a linear equation?

#### Question 15 15. Evaluate |r+s|-(r+s) when -s = r+8.

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#### Question 16 16. If a question requires us to know the value of |2x+y|, but all we know is that |x+y|=5, what can we do?

#### Question 17 17. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

#### Question 18 18. What is the slope of a line that is perpendicular to y = 3x + 1?

#### Question 19 19. Solve the equation: -2|x| = 10.

#### Question 20 20. What is the first step to solving the equation |4x - 2| = 5 ?

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#### Question 21 21. Which pattern of numbers represents a linear equation?

#### Question 22 22. Getting an absolute value to equal a negative number is _____.

#### 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. What is the first step to solving the equation |2x + 1| - 5 = 7?

#### Question 25 25. Look at the graph. What is the solution to the system of equations?

### Page 6

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Question 26
26.
Find the solution, given the system of equations below.

y = 3x - 5

y = -2x + 10

#### Question 27 27. A linear equation can be represented using a _____ graph.

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Question 28
28.
Subtract: (*x*2 + 3*x* + 4) - (7*x*2 - 5*x* + 2)

#### Question 29 29. What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)?

#### Question 30 30. If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days, how long could you rent a car for if you had 775 dollars?

#### GRE - Equations and Expressions: 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!