# College Algebra Final Review Practice Quiz

**Question 1** (4 points)

Solve Quadratic Equations by Taking Square Roots

Solve.

**Question 2** (4 points)

Composition of Functions

Find for the pair of functions.

**Question 3** (4 points)

Addition and subtraction of matrices

Evaluate the expression .

**Question 4** (4 points)

Graph Rational Functions That Have a Common Factor

Graph:

**Question 5** (4 points)

Reflections of Graphs

The graph of the function is shown below.
Find the equation and the graph of the function g(x)

which is the reflection of f(x) in the y-axis.

**Question 6** (4 points)

Properties of Inequalities

Solve:

**Question 7** (4 points)

Graphs of Logarithmic Functions

Identify the graph of the logarithmic function.

**Question 8** (4 points)

Radical Equations

Solve.

**Question 9** (4 points)

Equations that are Quadratic in Form

Solve:

**Question 10** (4 points)

Slant Asymptotes

Which of the following rational functions has a graph with a slant asymptote?

**Question 11** (4 points)

Parabolas with vertex at (0, 0)

Find the equation of the parabola with vertex at the origin, that passes through
the point (-1,1) and opens

upward.

**Question 12** (4 points)

Linear Equations

Solve.

**Question 13** (4 points)

Operations on Functions

Given
and
find
.

**Question 14** (4 points)

Scalar multiplication

Evaluate -8A.

**Question 15** (4 points)

Graph a nonlinear inequality

Identify the graph of the inequality.

**Question 16** (4 points)

Parabolas with vertex at (h, k)

Find the vertex, focus, and directrix of the parabola.

**Question 17** (4 points)

Graphs of Inverse Functions

Let f(x)=4x+7 Identify the graph of f and f^{-1}

**Question 18** (4 points)

Translations of Graphs

Use the graph of f(x)=|x| to identify the graph of f(x)=|x-3|-2.

**Question 19** (4 points)

Circles, Their Equations, and Their Graphs

Find the standard form of the equation of the specified circle .

Center:(-1,3) Radius:

**Question 20** (4 points)

Absolute Value Inequalities

Solve.

**Question 21** (4 points)

Substitution method for solving a system of linear equations

Solve by substitution.

**Question 22** (4 points)

Maximum and Minimum Values

Find all relative extrema of the function.

**Question 23** (4 points)

Solve Exponential Equations

Solve for x.

**Question 24** (4 points)

Exponential Functions

Find for f(0) the function f(x)=2^{x}.

**Question 25** (4 points)

Vertical and Horizontal Asymptotes

Find the horizontal asymptote of the graph of

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