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Chapter 1 An Introduction to Algebra
Check Your Knowledge
1. All numbers that can be represented by points on the number line are called
numbers.
2.
0
5
and
5
is
0
.
3. Give the prime factorization of 120.
4. Simplify:
45
.
105
5. Multiply:
3 #
2.
10
3
8
5
6
6. Subtract: 7 2 .
7. Write
3
as a decimal.
8
8. Graph each member of the set on the number line: e12, 1.5, , 2.5, , 0.125f.
9
4
–5
–4
–3
–2 –1
0
1
2
3
4
3
4
5
9. Insert the proper symbol, or , in the blank to make each statement true.
020
a. 3 2
b. 0 3 0
c. 0.2
d. 0.125
10. Add: 10 152 3.
11. Subtract: 10 1102 .
12. Multiply: 132 10.22 142 .
3
4
2
3
13. Divide: 12 a b .
2
3
14. What property of real numbers is illustrated? 12 2 142 14 2 122
15. Write using exponents:
a. 122 12 2 132 132 132
16. Evaluate: 12 5 # 3.
b. 2 # x # x # x # y # y
17. Evaluate: 42 315 72 3.
18. Evaluate: 2 313 313 62 4 .
19. Evaluate:
6 0 2 4 0
312 42 2
.
20. Evaluate 3xy 2y for x 2 and y 5.
21. Write each phrase as an algebraic expression.
a. 10 more than x
b. 5 less than x
c. the value in cents of n nickels
d. the value in dollars of n nickels
22. The sum of two numbers is 6. If the first number is represented by x, then write
an expression for the second number.