ILTS Elementary Education (Grades 1-6) (197-200, 305): Practice & Study Guide  /  General Courses

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Overview of Concepts in Algebra Chapter Exam

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!

Page 1

Question 1 1. Which of the following represents a linear equation that begins at 5 and increases by 8 at each step?

Question 2 2. 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?

Question 3 3. For linear inequalities, when does the inequality symbol flip?

Question 4 4. Solve the inequality -2x+8>10.

Question 5 5. Solve for x: 4(x - 3) = -4

Page 2

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

Question 7 7. Which of the following statements are true.

Question 8 8. Which of the following are steps in solving a system of linear equations by graphing?

Question 9 9. The conic section with a semi-major and semi-minor axis is the _____.

Question 10 10. Which conic section is described by the equation shown below?

Page 3

Question 11 11. When the arrows of an inequality go in opposite directions, or the absolute value is greater than, what type of a compound inequality are we working with?

Question 12 12. Graph the following inequality: |x| > 2

Question 13 13. Which equation(s) need to be rewritten in this linear system before we can write it in augmented matrix form?

Question 14 14. Rewrite the 3rd equation in proper form so that we can turn it into augmented matrix form.

Question 15 15.

Tom likes to go over to his friend's house almost every night to play video games. They usually spend 3 hours a night playing the video game together. Last week, they spent a total of 15 hours playing the video game. If Tom went over every night, he would spend 21 hours playing the video game. Also, Tom's friend's mom gives Tom two cookies each time he is there. How many cookies did Tom get last week?

For this problem, which of the following is an important part?

Page 4

Question 16 16. Crystal has $20 and Sally has $30. If they combine what they have, how many pairs of shoes can they buy if each pair is $25?

Question 17 17. A number divided by twelve is two. What is the number?

Question 18 18. The difference between a number and ten is thirteen. What is the number?

Question 19 19. Substitute y = 3x - 2 for y in 2y + 3x = 10 and solve for x.

Question 20 20. Make y the subject in the equation: 4y + 2x = 6.

Page 5

Question 21 21. What number can we substitute for x that will make the absolute value of x = 12?

Question 22 22. Solve the equation: |3x - 9| = 27.

Question 23 23. Which graph represents a linear equation?

Question 24 24. In a linear inequality, what kind of line is used when graphing the inequality 3y<2x-7?

Question 25 25. Solve for x: 2x = -18

Page 6

Question 26 26. A graph of a system of linear equations is shown along with the system. What is the solution to the system?

Question 27 27. Which type of conic section is shown below?

Question 28 28. Which rule do you need to remember when solving a 1-variable absolute value inequality?

Question 29 29. Write in augmented matrix form.

Question 30 30. Tom likes to go over to his friend's house almost every night to play video games. They usually spend 3 hours a night playing the video game together. Last week, they spent a total of 15 hours playing the video game. If Tom went over every night, he would spend 21 hours playing the video game. Also, Tom's friend's mom gives Tom two cookies each time he is there. How many cookies does Tom get last week?

Overview of Concepts in Algebra 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!

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