Name______Algebra 1-4 Mr. Peters
Review Test Form A Chapter 1 + 2
NO CALCULATORS ALLOWED
Part 1 Multiple Choice. Choose the best answer from the given choices and place the letter of your choice in the space provided.
1. 1. ______
A. -12 B. -24 C. 24 D. 12 E. Not Given
2. Distribute: 2. ______
A. 4x + 3 B. x + 12 C. x + 7 D. 4x + 7 E. Not Given
3. Find the mean of the numbers 3. ______
A. –5 B. 5 C. 6 D. –6 E. Not Given
4. What numbers can you square to get 25? 4. ______
A. 5 B. –5 C. 5 and -5 D. 50 E. Not Given
5. Which number is smallest in this list: 5. ______
A. –6.8 B. 2 C. D. 1.58 E. Not Given
6. Divide: 6. ______
A. –45 B. 45 C. –60 D. 20 E. Not Given
7. Distribute: 7. ______
A. 5p + 5 B. –5p +5 C. 5p +5 D. 5p - 5 E. Not Given
8. Divide: 8. ______
A. 3 B. –9 C. 9 D. -3 E. Not Given
9. Simplify: 9. ______
A. 4 B. -6 C. 6 D. 9 E. Not Given
10. Simplify: 10. ______
A. 3x - 7 B. 3x - 14 C. 3x + 14 D. 3x +7 E. Not Given
Part 2. Short Answer. Show your work on each problem. No credit will be given if no work is shown.
11. Evaluate when .
12. Show whether or not the given number is a solution to the equation.
13. Show whether or not the given number is a solution to the inequality.
Evaluate:
14. 15. 16. –2.6 + 7.5 + 5.6
Simplify:
17. 7(x - 1) – 5 18. 11x – (x + 7) 19. 9 – 2(x – 4)
Approximate to the nearest integer: (Remember – No calculators allowed.)
20. 21. 22.
Evaluate the expression when x = -6.4 and y = 10.8
23. y – (-x) + 6.4 24. 10.8 – x – y 25. x – y – 2.6
Find the product:
26. 27. 28.
Part 3. Word Problems. Show your work on each word problem. Be sure to put your clearly mark your final answer to each question.
29. Painting. Three weeks ago, an art supply store started selling a pint kit for 75% of the original price. Now the kit is 15% off of the sale price. The expression
0.75x – 0.15(0.75x) represents the current price of the kit where x is the kit’s original price (in dollars). Find the current price of the kit if it originally cost $48.
30. Bookshelf. You installed a bookshelf on the wall to organize some of your books. The books that you absolutely want on the shelf weigh a total of pounds. The bookshelf can handle no more than 9 pounds. You plan on filling the rest of the shelf with your paperbacks which weigh about of a pound each. Assuming you won’t run out of room, how many paperback books can you add to the shelf without breaking it?
31. Website traffic. During a 3-month period, the traffic to a website dropped 126,000 visitors. Find the average rate of change in traffic per month to the website over the 3-month period.
32. Park. A local park is the shape of a square and has an area of 3600 square feet. Find the length of one side of the park,
33. Shoe Boxes. A department store is selling its plastic shoe boxes for $1.50 off the regular price of a shoe box. You buy 4 shoe boxes. Write an equation that gives the total cost t as a function of the regular cost r of a shoe box. Then find the total cost if the boxes regularly cost $3.59 each.
Answers
1. B 2. E 3. A 4. C 5. C 6. E 7. B 8. A 9. C 10. A
11. 18 12. No 13. Yes 14. 15. 16. 10.5
17. 7x – 12 18. 10x – 7 19. 17 – 2x 20. –5 21. 12 22. –7
23. 10.8 24. 6.4 25. –19.8 26. 14 27. –60x 28. 105y
29. $30.60 30. 18 paperbacks 31. –42,000 visitors per month 32. 60 feet
33. t = 4(r – 1.5) ; $8.36