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Algebra 1 Honors

2012-2013

Semester 1 Exam Review

How to prepare:

• Organize your quizzes and test study guides and practice tests.

• Locate the areas where you struggled on the quizzes and tests.

• Be sure to re-work the questions you answered incorrectly on those quizzes and study guides.

• Using Chapters 1 through 6, make a list of the vocabulary words that we have used. Be sure that

you can define those terms and recognize them in their appropriate context.

o For example, what do “domain,” “range,” “function,” “inverse,” “inequality,” “system of

equations” mean? (These are not the only words you need to know!)

• Spend some time every day doing algebra, so you are not trying to re-cram 5 months of learning

into one or two days.

• Work on the attached review, and look back to the cumulative review from November. Both are

good examples of concepts that we have covered.

Notes:

1. There will be a total of 50 questions on the exam, so that each question is worth 2 points, for a

100-point total.

2. The majority of the questions on the exam will be multiple choice. The types of questions that

are free-response are these:

� Plot points on a coordinate plane.

� Graph a linear equation in slope-intercept form.

� Solve a system of linear inequalities by graphing.

� Write an algebraic expression for a given sentence, and solve.

� Apply sales tax to the base cost of an item to find the final price.

� Write and solve a system of equations.

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Exam directions: Answer each question with the best possible answer. You may write on this test

paper for your scratch work, but the Scantron is the only form that will be graded for this section.

Review: Not multiple choice, but similar format questions to the exam.

1. Evaluate �1 − 2�6�� + �2 − 7�3��.

2. Write an algebraic expression for the following verbal expression:

the difference of d and 9.

3. Rewrite −4�2 + 3� − �� using the Distributive Property.

4. Evaluate �� − 4�� + 8� when � = −2 and � = 12.

5. Is ��−4,3�, �−2, −2�, �0,2�, �0,5�� a function?

6. The grade Simon earns in his math class is directly related to the number of classes he attends. What

is the independent variable? What is the dependent variable?

7. Solve � + 3 = 5.

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8. Solve 4� = −84.

9. Solve 7� − 5 = 16.

10. Solve −�

�=

��

�.

11. Describe the end behavior of this function.

12. Nina’s lunch cost $5.99. How much money should she leave for a 20% tip?

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13. Translate the following sentence into an equation.

The sum of x and 5 is the same as the quotient of 6 and x

14. If a line passes through (0, 4) and has a slope of -7, what is the equation of the line?

15. Find the slope of the line through �3, −7�and (8,−21).

16. What is the slope of a vertical line?

17. What is the slope of a horizontal line?

18. Write an equation of a vertical line.

19. Write an equation of a horizontal line.

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20. What is an equation for the nth term of the arithmetic sequence 12, 15, 18, 21…?

21. What is the 15th term of the arithmetic sequence 12, 15, 18, 21…?

22. Write � + 2 = −4� + 1 in standard form.

23. Which function represents the relationship shown in the table?

x 0 1 2 3 4

y 14 22 30 38 46

24. How do we recognize an equation that is not linear?

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25. What is the slope-intercept form of the equation of the line with a slope of �

and y-intercept at the

origin?

26. Which is the point-slope form of the equation of the line with a slope of -2 that passes through

�4, 6�?

27. What is the slope of any line perpendicular to � =!

"� − 3?

28. Are the graphs of the lines � = −� and 2� + � = 3…

A. parallel

B. perpendicular

C. neither

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29. The total price of a bag of peaches varies directly with the cost per pound. If 3 pounds of peaches

cost $3.60, how much would 6.2 pounds cost?

30. Find the inverse of ��−1, −2�, �9,5�, �4,3�, �6,8��

31. Seven is more than the sum of a number and 6. Write an inequality that represents this sentence.

32. Solve � + 3 > 10.

33. Solve 6$ < −36.

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34. Solve 7� − 9 > 2� + 26.

35. Solve 4 − 2& ≥ 3�5 − &� + 7�& + 1�.

36. Samantha has written between 15 and 25 programs for her calculator. Write a compound inequality

that represents this situation.

37. Sandra’s grade on a test was within 6 points of the class average of 76. Write a compound inequality

to model her score.

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38. Remember when to use each method of solving a system of equations.

Free-response section:

Answer each question in the area provided.

39. Graph � = −2� + 3

40. Plot the points A(1,0), Q(0,-2) and R(-2,3).

41. Solve the system of inequalities by

graphing.

� > � + 1

� ≤ −2�

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42. Fourteen decreased by twice a number equals 32. Write an equation for this situation and then find

the number.

43. Find the total price:

wireless device: $459.96

sales tax: 9.75%

44. The school that William goes to is selling tickets to a fall musical. On the first day of ticket sales the

school sold 6 adult tickets and 2 student tickets for a total of $82. The school took in $197 on the

second day by selling 12 adult tickets and 7 student tickets. Find the price of an adult ticket and the

price of a student ticket.