# Intermediate Algebra Final Revie

# 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

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**Question 2 **(4 points)

Divide complex numbers

Simplify .

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**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)

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**Question 4 **(4 points)

Solve inequalities in one variable

Solve.

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**Question 5** (4 points)

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

Factor.

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**Question 6** (4 points)

Solve literal equations

Solve the formula for the given variable .

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**Question 7** (4 points)

Factor a monomial from a polynomial

Factor.

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**Question 8** (4 points)

Solve a system of linear equations by graphing

Solve by graphing.

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**Question 9** (4 points)

Graph the solution set of an inequality in two variables

Graph.

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**Question 10** (4 points)

Simplify expressions with rational exponents

Simplify.

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**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

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**Question 12** (4 points)

Add and subtract radical expressions

Simplify.

d.

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**Question 13** (4 points)

Add and subtract complex numbers

Simplify.

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**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)

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**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)

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**Question 16** (4 points)

Factor the difference of two perfect squares and factor perf

Factor.

49x^{2}-25y^{2
}

Equation: Create equation Equation editor

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**Question 17** (4 points)

Solve equations using the Addition and Multiplication Proper

Solve.

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**Question 18** (4 points)

Solve literal equations

Solve the formula for the given variable.

d. none of theses

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**Question 19 **(4 points)

Add and subtract complex numbers

Simplify.

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**Question 20 **(4 points)

Evaluate a function

Find f(-2) given that f(x)=-2x^{2} +3x -20

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**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

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**Question 22** (4 points)

Multiply and divide rational expressions

Simplify.

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**Question 23** (4 points)

Evaluate polynomial functions

Evaluate the polynomial.

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**Question 24** (4 points)

Solve fractional equations

Solve.

d. no solution

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**Question 25** (4 points)

Multiply radical expressions

Simplify.

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