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COLLEGE ALGEBRA
EXAM I REVIEW
Read the directions carefully. I want you to SHOW YOUR WORK for each
problem. A solution, even a correct solution, will not receive full credit if there
is no support work or explanation. Partial credit is always considered, so
showing your work is to your advantage.
2.1
Linear Equations in One Variable
 Be able to solve any linear equation, they may include fractions or decimals.
 Be able to solve absolute value equations.
 Be able to solve formulas for a particular variable.
2.2
Linear Inequalities in One Variable
 Be able to determine if a particular value satisfies a linear inequality.
 Be able to solve linear inequalities, including compound inequalities.
 Be able to solve absolute value inequalities and be able to give the solution graphically,
using set notation and/or interval notation.
2.3
Quadratic Equations in One Variable
 Be able to solve quadratic equations by factoring.
 Be able to solve quadratic equations using the square root method.
 Be able to solve quadratic equations by completing the square.
 Be able to solve quadratic equations using the quadratic formula.
 Be able to solve applied problems that involve quadratic equations.
2.4
Higher Degree Polynomial Equations
 Be able to solve equations that are in quadratic form.
 Be able to solve higher degree polynomial equations using factoring.
 Be able to find coefficients for a polynomial, given information about the polynomial’s
solutions (zeros, roots).
2.5
Rational Expressions and Equations
 Be able to simplify rational expressions.
 Be able to combine rational expressions using addition, subtraction, multiplication and
division.
 Be able to simplify complex rational expressions.
 Be able to solve rational equations.
 Be able to solve work-rate problems using rational expressions.
2.6
Radical Equations
 Be able to solve radical equations. Remember: You may have to square both sides of the
equation more than once. Also, always check your solutions.
 Be able to solve equations involving rational exponents.
 Be able to solve formulas for a particular variable.
3.1
The Cartesian Coordinate System
 Be able to plot points on the Cartesian plane and identify which quadrant or axes it lies on.
 Be able to find the distance between two points.
 Be able to find the midpoint between two points.
 Be able to find a x or y coordinate of a point to satisfy a distance or midpoint requirement.
3.2
Linear Equations in Two Variables
 Be able to determine if an equation is linear.
 Be able to find x- and y- intercepts of a linear equation and graph the equation.
 Be able to graph a horizontal or vertical line given its equation.
3.3
Forms of Linear Equations
 Be able to find the slope of a line between two points.
 Be able to find the slope of a line given its equation.
 Be able to write the equation of a line in the slope-intercept form given a point and a slope,
or two points.
 Be able to write the equation of a line in the point-slope form given a point and a slope, or
two points.
 Be able to write the equation of a line in the standard form given a point and a slope, or
two points.
3.4
Parallel and Perpendicular Lines
 Be able to write the equation of a line parallel or perpendicular to a given line through a
particular point.
 Be able to determine whether a set of four points forms a parallelogram.
 Be able to determine whether two given lines are parallel, perpendicular or neither.
 Be able to determine whether a set of four points forms a rectangle.
3.6
Introduction to Circles
 Be able to find the standard form of a circle given the center and radius.
 Be able to find the standard form of a circle given the center and a point that the circle
passes through.
 Be able to find the standard form of a circle given the endpoints of one of its diameters.
 Be able to graph a circle given in standard form.
 Be able to convert the equation of a circle to standard form and find the center and radius.
4.1
Relations and Functions
 Be able to find the domain and range of a relation or function when it is given as a table, a
graph or a formula.
 Be able to determine whether a relation is a function when it is given as a table, a graph or
a formula.
 Be able to evaluate a function at a particular value or expression.
 Be able to find the difference quotient for a given function.
 Be able to find the implied domain for a function.
Chapter 2 Test (p. 171) 1 – 7 odd, 11 – 17 odd, 21 – 29 odd, 33, 35, 37, 41, 45 – 57 odd, 61 – 71 odd
Chapter 3 Test (p. 248) 1 – 9 odd, 15 – 21 odd, 25, 29, 35, 37, 39, 43 – 59 odd, 63 – 71 odd
Chapter 4 Test (p. 356) 1 – 4, 6, 8