Algebra Questions

Write the standard form of the equation of the circle with center (5, -7) and radius 5.

2.

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

A.

x-intercept: (0, 0), (4, 0)

y-intercept: (0, 0)

No symmetry

graph of intercepts

B.
x-intercept: (0, 0), (-4, 0)

y-intercept: (0, 1)

No symmetry

graph of intercepts

C.
x-intercept: (4, 0), (4, 0)

y-intercept: (0, 1)

No symmetry

graph of intercepts

D.
x-intercept: (0, 0), (4, 0)

y-intercept: (0, 1)

No symmetry

graph of intercepts

E.
x-intercept: (0, 0), (4, 0)

y-intercept: (0, -1)

No symmetry

graph of intercepts

3.

Determine whether the equation -6(x+3)=-6x-18 is an identity, contradiction, or conditional equation. If conditional, indicate the condition. Explain your reasoning.

4.

A room is 2.5 as long as it is wide, and its perimeter is 15 meters. Write l in terms of w and write an equation for the perimeter in terms of w.

5.

Find the slope and y-intercept (if possible) of the equation of the line. Select the correct answer for the line.

3x-5=0

6.

Find the value of y that corresponds to x = -4 in the graph of the equation 2x+3y=13.

7.

Solve the equation. 

8.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Select the correct answer for the line.

graph of equation
graph of equation
graph of equation
graph of equation
graph of equation

9.

Determine whether the lines are parallel, perpendicular, or neither. Explain your reasoning.

10.

The graph shows the average salaries for senior high school principals from 1996 through 2008.

Find the slope of the line segment connecting the points for the years 1998 – 2002.

average salaries for senior high school principles

-2394
2391
-2391
2396
2392

11.

Assume that the graph has y-symmetry. Select the complete graph of the equation.

graph of equation

graph of equation
graph of equation
graph of equation
graph of equation
graph of equation

12.

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line.

point: (-4, 9)

line: 6x – 30= 6

a.

b.

c.

d.

e.

13.

Write the complex number in standard form.

a.

b.

c.

d.

e.

14.

Solve the equation by extracting square roots.

a.

b.

c.

d.

e.

15.

Select the equation which has the given solutions.

0, 4, 8

a.

b.

c.

d.

e.

16.

Solve the inequality.

a.

b.

c.

d.

e.

17.

Solve the inequality.

a.

b.

c.

d.

e.

18.

Solve the following quadratic equation by completing the square. Show all work.

19.

Perform the operation and write the result in standard form.

20.

a.

31

b.

27

c.

28

d.

29

e.

30

20.

Find all solutions of the equation. Show all work.

21.

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

All real numbers within 6 units of 11.

a.

b.

c.

d.

22.

Solve

a.

b.

c.