Name: ________________________ Class: ___________________ Date: __________
Algebra II-H Test Review 1-4 to 1-6
Short Answer
Solve the equation.
1. 2|x − 4| + 1 = 19
2. |x − 5| = 19
Solve the inequality. Graph the solution set.
3. –4 + 4k ≥ 16
4. 3(2m – 5) + 10 > 31
5. 5(2b + 2) < 3 + 10b
6. 3r – 9 ≤ 17
1
ID: A
Name: ________________________
ID: A
Solve the problem by writing an inequality.
7. A club decides to sell T-shirts for $10 as a fund-raiser. It costs $25 plus $7 per T-shirt to make the T-shirts.
Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at
least $125.
8. If the perimeter of a rectangular picture frame must be less than 240 in., and the width is 36 in., what must
the height h of the frame be?
Solve the compound inequality. Graph the solution set.
9. 9x + 14 ≥ –13 and 2x – 12 ≤ –16
10. 9x – 13 < –58 or 2x + 6 > 8
11. The perimeter of a square garden is to be at least 26 feet but not more than 44 feet. Find all possible values
for the length of its sides.
2
Name: ________________________
ID: A
Solve the equation. Check for extraneous solutions.
12. |4x + 5| − 2x = 2x + 8
Solve the inequality. Graph the solution.
13. | 2x + 5 | ≥ 23
14. | 3x + 6 | < 30
15. When Spheres-R-Us ships bags of golf balls, the number of balls in each bag must be within 6 balls of 250.
Write an absolute value inequality and a compound inequality for an acceptable number of golf balls b in
each bag.
16. Lynn and Dawn tossed a coin 50 times and got heads 26 times. What is the experimental probability of
tossing heads using Lynn and Dawn’s results?
3
Name: ________________________
ID: A
17. A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day.
Carry out a simulation of twenty trials using the random number table below to find the probability that the
osprey will actually catch a fish on all of the next three days. Explain your method.
945
106
832
793
025
746
180
726
354
981
250
864
793
105
871
496
236
012
835
947
18. This is a spinner used in a board game. What is the probability that the spinner will land on a multiple of 2
and 6?
19. A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability
of obtaining a number less than 2 or greater than 6 in a single spin?
20. A bag contains 9 red marbles, 7 white marbles, and 3 blue marbles. Find P(red or blue).
4
Name: ________________________
ID: A
21. If a dart hits the target at random, what is the probability that it will land in the shaded region?
5
ID: A
Algebra II-H Test Review 1-4 to 1-6
Answer Section
SHORT ANSWER
1. x = 13 or x = −5
2. x = 24 or x = −14
3. k ≥ 5
4. m > 6
5. no solutions
6. r ≤ 8
2
3
7. 10x − (7x + 25) ≥ 125; x ≥ 50
8. h < 84 in.
9. x ≥ –3 and x ≤ –2
10. x < –5 or x > 1
11. 6.5 ≤ x ≤ 11
13
12. x = −
8
13. x ≤ −14 or x ≥ 9
14. –12 < x < 8
15. |b − 250| ≤ 6; 244 ≤ b ≤ 256
16.
13
25
1
ID: A
17. Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three
days is 35%.
5
18.
8
1
19.
2
12
20.
19
1
21.
4
2