Section R.2

Algebra Essentials

OBJECTIVE 1

(a) On the real number line, graph all numbers for which 1.

(b) On the real number line, graph all numbers for which > 2.

x x

x x

OBJECTIVE 2

(a) 4 (b) 6 (c) 0

Let , , and be points on a real number line with coordinates

4, 5, and 1 respectively. Find the distance

(a) Between and (b) between and

P Q R

P Q Q R

OBJECTIVE 3

Evaluate each expression is = 2 and = 4.

2(a) 2 4 (b) 3 (c) (d) 3 2

5 3

x y

xx y xy x y

y

OBJECTIVE 4

Find the domain of the variable in the expression

2

1

x

x

x

OBJECTIVE 5

3

6

2

(a) 4

(b)

2(c)

3

y

2 45 2 4

3 3

7

(a) (b) (c) 3

3(d) (e)

5

x x x x

x

x

OBJECTIVE 6

21(a) 49 (b) (c) 5.2

9

2 2 2(a) 4.5 (b) 4.5 (c) x

OBJECTIVE 7

6Evaluate: 3.45

OBJECTIVE 8

Write each number in scientific notation.

(a) 34562 (b) 23.45 (c) 0.488 (d) 0.0000067

6 3 2

Write each number as a decimal.

(a) 4.25 10 (b) 1.2 10 (c) 5 10