Review 0.1-0.3 for Quiz

Determine whether each value is rational or irrational:

-3678

2e

Rational

Irrational

Rational

Rational

Irrational

Determine whether the given value of x satisfies the inequality:

Simplified:

A.) x = 0

B.) x =

C.) x = 1

D.) x = 5

NO

YES

YES

NO

Solve the inequality and sketch the graph of the solution on the real number line.

Simplified:

State the absolute value equation with the following solution sets:

(

5.) (-8, 4)

)

FIND THE MIDDLE (-2)THAT IS 6 UNITS AWAY FROM BOTH -8 AND 4

State the absolute value equation with the following solution sets:

6.) {-2, 12}

FIND THE MIDDLE (5)THAT IS 7 UNITS AWAY FROM BOTH -8 AND 4

Actual points, not an inequality

Use absolute values to describe the given interval on the real line.

(-∞, -2) U (2, ∞)

()

FIND THE MIDDLE (0)THAT IS 2 UNITS AWAY FROM BOTH -2 AND 2

State the absolute value equation with the following solution sets:

(

All numbers more than six units away from 3

)

FIND THE MIDDLE (3)THAT IS 6 UNITS AWAY FROM BOTH -3 AND 9

Solve and Graph:

1.)

-15 3

Solve and Graph:

2.)

-7 1

Solve and Graph:

6 14

()

Solve and Graph:

3.)

-1 5

0 5 -1

0

Test around eachpoint to see if it isin the solution set

yes no yes no

Solve and Graph:

4.)

(

Copper has a melting point of M within 0.2°C of 1083°C. Use absolute values to write the range as an inequality.

Evaluate:

7.)

8.)

Evaluate the expression for the indicated value of x

1.) x = 2

2.) x = 4

3.) x = 1.01

Simplify the expression

1.)

2.)

Simplify by removing all possible factors from the radical.

1.)

2.)

Simplify by removing all possible factors from the radical.

1.)

2.)

Simplify by removing all possible factors from the radical.

1.)

2.)

Find the domain in each of the following:

9.)

10.)

R ≠ -2, 5

Set it greater than or equal to zero and solve for all values that are in domain

R ≤ ⅓

Find the domain in each of the following:

9.)

10.)

All Reals(-∞, ∞)

Set it greater than or equal to zero and solve for all values that are in domain

(3, ∞)

Find the domain in each of the following:

9.) Set it greater than or equal to zero and solve for all values that are in domain

Find the domain in each of the following:

11.)

12.)

All Real #’s

Test around eachpoint to see if it isin the solution set

-2 5

()yes no yes