Algebra I Lessons 2.3 - 2.5 Review Student Copy
Pre-Test
1. Solve the inequality and graph the solution on the number line.
2. Graph the compound inequality on the number line.
3. Evaluate each expression. Show your work.
a.
b.
4. Solve the absolute value equation.
Standardized Test Practice
____
5. What is the solution to the compound inequality
a.
b.
c.
d.
____
6. Alex saved $65. He has already spent $25. He plans to spend $8 on a movie ticket each month. Which
inequality represents the number of movie tickets he can buy?
a.
b.
c.
d.
____
7. Which graph represents the compound inequality
a.
b.
c.
d.
____
8. What is the value of the linear absolute value expression
?
a.
b.
c. 9
d. 21
____
9. What is the solution to the inequality
a.
b.
c.
d.
____ 10. What is the value of the linear absolute value expression
a.
b.
c.
d.
____ 11. Which compound inequality has no solution?
a.
b.
c.
d.
?
____ 12. What is the solution to the linear absolute value equation
?
a.
b.
c.
d.
____ 13. What is the solution to the linear absolute value equation
?
a.
b.
c.
d. No solution
____ 14. Which graph shows the solution to the inequality
?
a.
b.
c.
d.
____ 15. What is the solution to the linear absolute value equation
a.
b.
c.
d.
?
____ 16. Which compound inequality does the graph represent?
a.
b.
c.
d.
or
or
or
or
Leon plays on the varsity basketball team. So far this season he has scored a total of 52 points. He scores an
average of 13 points per game. The function
represents the total number of points Leon will
score this season. Write and solve an inequality to answer each question.
17. How many more games must Leon play in order to score at least 120 points?
18. How many more games must Leon play in order to score fewer than 175 points?
19. How many more games must Leon play in order to score more than 150 points?
Draw an oval on the graph to represent the solution to each question. Write the corresponding inequality
statement.
20. Lea is walking to school at a rate of 250 feet per minute. Her school is 5000 feet from her home. The function
represents the distance Lea walks. How many minutes have passed if Lea still has more than
2000 feet to walk?
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Solving and Graphing Compound Inequalities
Vocabulary
Match each definition to its corresponding term.
, where a and b are any real
a. a solution of a compound inequality in the form
numbers
b. an inequality that is formed by the union, “or,” or the intersection, “and,” of two simple
inequalities
c. the part or parts of the solutions that satisfy both of the inequalities
or
, where a and b are any real
d. a solution of a compound inequality in the form
numbers
____ 21. compound inequality
____ 22. solution of a compound inequality
____ 23. conjunction
____ 24. disjunction
Write a compound inequality for each situation.
25. People with a driver’s license are at least 16 years old and no older than 85 years old.
26. Kyle’s car gets more than 31 miles per gallon on the highway or 26 miles or less per gallon in the city.
Solve each compound inequality. Then graph and describe the solution.
27.
28.
and
29.
or
30.
or
Solve each linear absolute value inequality. Graph the solution on the number line.
31.
32.