Name:    Col Alg ch 1 Pre Test

1.

Graphically estimate the x- and y-intercepts of the graph.

 a. x-intercept: y-intercept: b. x-intercept: y-intercept: c. x-intercept: y-intercept: d. x-intercept: y-intercept: e. x-intercept: y-intercept:

2.

Identify any intercepts and test for symmetry. Then sketch the graph of the equation.

 a. x- intercept: y- intercept: No symmetry b. x- intercept: y- intercept: No symmetry c. x- intercept: y- intercept: No symmetry d. x- intercept: y- intercept: No symmetry e. x- intercept: y- intercept: No symmetry

3.

Write the standard form of the equation of the circle with the given characteristics.
center: ; solution point:
 a. b. c. d. e.

4.

Determine whether the value of is a solution of the equation.

 a. Yes b. No

5.

Solve the equation and check your solution.

 a. b. c. d. e.

6.

Solve the equation for . (Round your answer to three decimal places.)

 a. b. c. d. e.

7.

Write the following quadratic equation in standard form.

 a. b. c. d. e.

8.

Solve the equation by extracting square roots.
 a. b. c. d. no solution e.

9.

Use the Quadratic Formula to solve .
 a. b. c. d. e.

10.

The floor of a one-story building is 14 feet longer than it is wide (see figure). The building
has 2760 square feet of floor space.

Write a quadratic equation for the area of the floor in terms of and find the length and width of the floor.
 a. b. c. d. e.

11.

Write the quotient in standard form.

 a. b. c. d. e.

12.

Simplify the complex number and write it in standard form.

 a. b. c. d. e.

13.

Raise each complex number to the fourth power.

 a. b. –64 c. 64 d. 16 e.

14.

Find all solutions to the equation .
 a. b. c. d. e.

15.

Determine whether is a solution of the inequality .
 a. Yes b. No

16.

Solve the inequality.

 a. b. c. d. e. No solution

17.

Use absolute value notation to define the interval (or pair of intervals) on the real number line.

All real numbers more than units from
 a. b. c. d. e.

18.

Determine whether the value of is a solution of the inequality.

 a. No b. Yes

19.

Use a graphing utility to graph the equation. Use the graph to approximate the values of that satisfy the inequality.

Equation:

Inequalities:

 a. d. b. e. c.

20.

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

 a. b. c. d. e.