Download Chapter 1 Review

Name:______________________________________________________Date:_________________Period:___
Algebra 2
Review of Chapter 1
Study Guide
Multiple Choice. Choose the best answers. Write the letter of your choice on the line provided.
____
1. What would the next figure in the pattern look like?
A.
____
1
3
B.
B. 2.4
1
5
D. 1
C. 2
D. 7.2
3. Use a pattern to answer the question.
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have
6, the third day you have 9, etc. How many do you have on the 13th day?
a. 16
b. 13
____
C.
2. Identify a pattern and find the next number in the pattern. 0.3, 0.6, 1.2, 2.4
A. 4.8
____
1
4
1
1 1 1
,
, ,
324 108 36 12
c. 39
d. 52
4. Use a graph to find the solution.
You want to set up an aquarium and need to determine what size
tank to buy. The graph shows tank sizes using a rule that relates
the capacity of the tank to the combined lengths of the fish it can hold.
If you want three 2-in. goldfish, two 1-in. guppies, and a 3-in. loach,
what is the smallest capacity tank you can buy?
10
gallons
8
6
4
a. 13-gallon
b. 15-gallon
c. 11-gallon
d. 17-gallon
2
2
____
5. To which set of numbers does the number belong?  225
a. Integers
b. irrational numbers
c. natural numbers
d. rational numbers
____
6. Graph the number on a number line:
a.
4
c.
–5 –4 –3 –2 –1 0 1 2 3 4 5
b.
–5 –4 –3 –2 –1 0 1 2 3 4 5
d.
–5 –4 –3 –2 –1 0 1 2 3 4 5
–5 –4 –3 –2 –1 0 1 2 3 4 5
6
8
inches
Multiple Choice. Choose the best answers. Write the letter of your choice on the line provided.
____
7. Insert <, >, or = to make the sentence true.
a. >
____
Symmetric Property
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
9. Which algebraic expression models the given word phrase: 40 fewer than a number t?
a.
b.
____
c. =
8. Name the property of real numbers illustrated by the equation.
a.
b.
c.
d.
____
b. <
c.
d.
10. Which algebraic expression models the given word phrase?
You start with $15 and save $8 each week. What algebraic expression models the total amount you save?
____
a.
c.
b.
d.
11. Evaluate the expression for the given value of the variables:
a. –55
____
b. 48
c. 48
d. 30
b.
c.
d.
14. Solve the equation: 0.125r
a.
____
d. –5
13. Simplify:
a.
____
c. 5
12. Evaluate the expression for the given value of the variable:
a. 32
____
b. 55
;
b.
0.0625 + 0.25r = 0.25 + r
c.
15. Solve the equation or formula for the indicated variable:
a.
b.
c.
d.
, for t
d.
,
 Solving Inequalities and graphing results (Section 1-5)
Recall: When dividing or multiplying by a negative number, be sure to switch the inequality sign!
Recall: No Solution (untrue statement) so no graph and All Real Numbers (True statement) so shade entire line.
Solve each inequality, then graph the solutions on a number line.
16. 4  2x  6  3x  7  2x  8
17.  5x  3  5x  1
18. 7a  3  7a  1
19. 24x  3  18
 Solving Combined Inequalities (“and”/“or” statements) and graphing results
(Section 1-5)
Recall: “And” statements are intersections (overlapping) of graphs
“Or” statements are unions (everything on same number line) of graphs
Recall: No Solution (untrue statement) so no graph and All Real Numbers (True statement) so shade entire line.
Solve each inequality, then graph each open sentence over the set of real numbers.
20.  7  4x  11 and 4x  11  9
21.  4x  3  11 or
1
x5
2
Solve each inequality, then graph each open sentence over the set of real numbers.
22. 2x  3  11 or 3x  2  8  2x
24. 2  5x  12 and
3
x28
4
23. 13  3x  2 and 53x  2  18x  11
25.  3  x or 
x
 2
3
 Solving Absolute Value Equalities and Inequalities and graphing results
(Section 1-6)
Recall: Isolate the absolute value part of the equality/inequality first!
Rewrite abs. value equality as an “OR” statement
Rewrite abs. value inequality as combined inequality: Great”OR” Less”AND”
“And” statements are intersections (overlapping) of graphs
“Or” statements are unions (everything on same number line) of graphs
Solve each open sentence and graph its solution.
26. 2 3  2 x  1  11
27. 3 
1
x 1  6
4
Solve each open sentence and graph its solution.
28. 2 x  3  5  7
29. 8x  4  2  10