Download Name______________________ Algebra 1 Mr. Peters

Name______________________
Algebra 1 Mr. Peters
Practice Test Form A
Chapter 6
You must use the “+,0,-“ system to rate every question or your test is not complete.
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. Which of the following statements is equivalent to
1. _________
“all real numbers that are less than five”?
A. x - 5
B. 5 - x
C. x + 5
D. x < 5
E. Not Given
2. Which quantity is equivalent to
A. 1.1  p
B. p  5.7
3.4  p  2.3 ?
C. p  1.1
2. ________
D. 5.7  p
E. Not Given
3. Which of the following are the solutions to 3 x  8  132 ?
3. ________
A. 44 and -44
E. Not Given
B. 36 and -36
C. 52 and -52
D.52 and -36
4. The graph of the inequality y > 2x – 5 is:
4. ________
A. dotted and shaded above B. solid and shaded above C. dotted and shaded below
D. solid and shaded above
E. Not Given
5. Which inequality is equivalent to x < 1 or x > 5?
A. x  8  2  10
B. 5x  9  10
5. ________
C. 3 6  2 x  12
D. 7  4 x  9  8 E. Not Given
6. Which ordered pair is NOT a solution of x  3 y  6 ?
6. ________
A. (0,0)
E. Not Given
B. (6,-1)
7. Which inequality is equivalent to
A. m > -56
B. m < 56
C. (10,3)
m
7?
8
C. m = 56
D. (-1,2)
7. ________
D. m = -56
E. Not Given
8. How many solutions does the equation 5 3  2 x  20 have?
A. one
B. two
C. none
D. many
8. ________
E. Not Given
9. Which inequality is equivalent to 5(r  2)  10r  5 ?
A. r  1
B. r  1
C. r  1
D. r  1
9. ________
E. Not Given
10. Which inequality would have a graph with a solid dot at 15 and
be shaded to the left?
A. x  9  24 B. x  7  22
C. x  5  10
D. x  7  8
10. ________
E. Not Given
Part 2. Short Answer. Show your work. No credit will be given if no work is shown.
11. Solve and graph the inequality 4x  7  1
12. Solve and graph the inequality
0  2x  6  8
13. Solve and graph the inequality
3x  2  8 OR  x  3  2
14. Solve the inequality, if possible. 6(x – 8) > 6x - 48
15. Solve the inequality, if possible. 5(a  3)  5a  6
16. Solve the equation. 4 x  1  15
17. Solve the equation. 2 6 x  5 1  25
18. Solve the inequality. Graph your solution.
x  7  11
19. Solve the inequality. Graph your solution. 10  x  2
Part 3 Word Problems Show all work. No credit will be given if no work is shown.
20. The average price of a brand of toothpaste that you buy is $2.49 for an 8.2 ounce
tube.. Depending on where you shop, the prices vary by 15 cents.
a. Write an absolute value equation that represents the minimum and maximum prices of
the toothpaste.
b. Find the minimum and maximum prices of the toothpaste.
c. You have a coupon for 50 cents off two tubes of toothpaste. If you go to the store
with the minimum price for the toothpaste, how much will you pay for two tubes?
21. You received a $25 gift card to your favorite sporting goods store. You are looking
at skis and want to spend no more than $85 of your own money.
a. Write and solve an inequality to find the prices “p” in dollars of the skis you can buy.
b. What is the most expensive pair of skis that you can buy within your budget?
Part 4. Graphing. Use a straight edge and the grids provided to graph the following
lines. Be sure to shade correctly.
22. y < 2x -5
23.
y
2
y   x3
3
5
-5
0
5
5
x
0
-5
-5
24. 6x + 3y >12
1
25. ( y  2)  ( x  1)
3y
y
0
-5
5
-5
5
-5
y
5
5
x
-5
0
-5
5
x
x
Answers:
1. D 2. B 3. D 4. A 5. C 6. B 7. E 8. C 9. A 10. D
12. 3  x  7
11. X  2
14. No solution.
16. x = -4 ,
7
2
17. x = -3 ,
4
3
13. x  2 OR x  5
15. All Real Numbers
18. x < -18 OR x > 4
19. 8 < x < 12
20. a. x  2.49  .15
21. a. p  25  85 ; p  110
b. $2.34 ; $2.64
c. $4.18
b. A $110 pair of skis is the most you can afford.
22. Doted line starting at (0,-5) with a slope of 2 and shaded below the line.
23. A solid line starting at (0,3) with a slope of 
2
and shaded above the line.
3
24. A dotted line starting at (0,2) with a slope of 2 and shaded above the line.
25. A dotted line starting at (1,2) with a slope of
1
and shaded below the line.
3