# Intermediate Algebra Final Review

Question 1 (4 points)

Uniform motion problems
A plane flies 600 miles, with a tail wind, in 2 hours. It takes the same plane 3 hours to fly the 600 miles when
flying against the wind. Which is the plane's speed in still air?

a. 50 mph
b. 300 mph
c. 200 mph
d. 250 mph

Question 2 (4 points)

Divide complex numbers
Simplify .

Question 3 (4 points)

Find equations of parallel and perpendicular lines
Find the equation of the line, in standard form, that is perpendicular to 9x+8y =4 and contains (-3, -4)

Question 4 (4 points)

Solve inequalities in one variable
Solve.

Question 5 (4 points)

Factor trinomials of the form x^2 + bx + c
Factor.

Question 6 (4 points)

Solve literal equations
Solve the formula for the given variable .

Question 7 (4 points)

Factor a monomial from a polynomial
Factor.

Question 8 (4 points)

Solve a system of linear equations by graphing
Solve by graphing.

Question 9 (4 points)

Graph the solution set of an inequality in two variables
Graph.

Question 10 (4 points)

Simplify expressions with rational exponents
Simplify.

Question 11 (4 points)

Variation problems
The total cost of gasoline varies directly with the number of gallons purchased. Harry pays \$12.80 for 8 gallons of
gasoline. Write a direct variation equation that shows the relationship between the total cost of gasoline, c, and
the number of gallons purchased, n.

Equation:  Create equation Equation editor

Question 12 (4 points)

Simplify.

d.

Question 13 (4 points)

Add and subtract complex numbers
Simplify.

Question 14 (4 points)

Find the length and midpoint of a line segment
Find the midpoint of the segment connecting(-7,-9)
and (2,8)

Question 15 (4 points)

Find equations of parallel and perpendicular lines
Find the equation of the line, in slope -intercept
form, that is parallel to -9x-4y=9 and contains (-8,5)

Question 16 (4 points)

Factor the difference of two perfect squares and factor perf
Factor.

49x2-25y2

Equation: Create equation Equation editor

Question 17 (4 points)

Solve equations using the Addition and Multiplication Proper
Solve.

Question 18 (4 points)

Solve literal equations
Solve the formula for the given variable.

d. none of theses

Question 19 (4 points)

Add and subtract complex numbers
Simplify.

Question 20 (4 points)

Evaluate a function
Find f(-2) given that f(x)=-2x2 +3x -20

Question 21 (4 points)

Variation problems
If x=0.4 when  y=12.35 and y varies inversely with x, which shows y when
x=2.6

Question 22 (4 points)

Multiply and divide rational expressions
Simplify.

Question 23 (4 points)

Evaluate polynomial functions
Evaluate the polynomial.

Question 24 (4 points)

Solve fractional equations
Solve.

d. no solution

Question 25 (4 points)

Simplify.