# FINAL EXAM REVIEW

Review your old exams and the following problems from your homework.

__Properties Real Numbers & Algebraic Expressions__

• Be able to evaluate expressions containing absolute values and exponents.
Review pg.87 # 25-30.

• Add, subtract, multiply, or divide fractions. Review pg. 34 #49 and pg. 43
#21,39

• Use the order of operations and rules for operations with integers to evaluate
expressions. Review pg. 176 #13,17,25

• Identify properties of real numbers. Review pg. 122 #1, pg. 123 # 7,9,11,13

• Simplify algebraic expressions. Review. pg. 142 # 37,49.

• Evaluate algebraic expressions given values for the variables. Review pg. 142
# 53

__Linear Equations and Inequalities in One Variable__

• Solve linear equations, including those that contain fractions. Review pg. 210
# 25,39, pg. 217 #19, pg. 225 # 29,33,41.

• Be able to set up linear equations to solve number and geometry word problems
(you do not need to do "age problems. Review pg. 257 #9,20,29.

• Solve one-variable linear inequalities and compound inequalities and be able
to graph the solutions on the number line. Review pg.237 #37,39,45 (these
problems contain fractions. To make solving easier, multiply each part of the
inequality by the common denominator first).

• Use an inequality to solve a word problem involving "averages". Review pg. 238
# 51

__Cartesian Coordinate System__

• Plot points, find the coordinates of a point and determine the quadrant in
which a point lies. Review pg. 311 # 5,15,27.

• Use the Pythagorean Theorem (or the distance formula) to find the distance
between two points indicated on a coordinate system. Review pg. 752 # 17.

__Linear Equations and Inequalities in Two Variables__

• Determine whether and ordered pair represents a solution to a linear equation.
Review pg. 313 # 27.

• Graph a line given its equation. Review pg. 331 # 23,37,39

• Know the formula for slope and be able to find the slope between two points.
Review pg. 347 #11,15

• Find the x-and y- intercepts of a line given its equation (Then use the
intercepts to graph the line). Review pg. 331 # 53,61.

• Graph a line given its slope and a point on the line. Review pg # 347 # 25, 47
Pg # 358 # 31,35.

• Know the following three formulas for lines:

Standard form: Ax + By =C

Point-Slope form: y - y_{1} = m(x - x_{1}) Used to find the equation of a line given
the slope and a point.

slope-intercept form: y = mx + b Most useful form for
graphing.

You need to memorize these formulas, and know how to change from one
form to the other. Know what each letter stands for in the formulas. Be able to
graph an equation given in any of these forms. Review: pg. 388 # 17,19,43,46,49

• Find equations of lines that are parallel or perpendicular to those given.
Review pg 359 # 37,39

• Be able to find the equation of a line given two points. Pg. 358# 17,23

• Graph two variable inequalities. Review pg. 381 # 13,19

__Systems of Linear Equations in Two Variables__

• Solve a system of two linear equations by graphing, substitution, or
elimination. Review pg. 411 # 13,19; pg. 418 # 19,23; pg. 426 # 5,23

• Solve a word problems __using a system of equations__ (to get full credit on the
test, you will be required to use a system of equations). Review **number
problems:** pg. 435 #3; **money problems:** pg. 436 # 18,19;** interest problems:** pg.
446 # 5,9,13; **mixture problems:** pg. 447 #15,19,21.

__Exponents , Polynomials & Factoring__

• Simplify expressions using the laws of exponents. Review page 478
#7,17,23,41,59,75,79; page 491 # 13,23,29

• Be able to convert numbers to and from scientific notation. Review page 492 #
49,55,61

• Add and subtract polynomials. Review page 505 # 7,1, 21,29,47.

• Multiply polynomials. Review page 512 #7,17,19,21,49,55. page 520 #13, 29,
41,53

• Divide polynomials. Review page 532 # 5,13,23,37

• Factor polynomials by finding the GCF, by grouping, and by using formulas for
the difference of squares. Review Pg. 556 #39,47;61,71,77; pg. 563 #
27,31,37,47; pg. 575 #1,5,17,41,59; pg. 583 # 1,13,31,41

**Radicals**

• Simplify square roots and cube roots. Review pg. 718 # 9,23,35,43,57

• Perform operations on radicals. Review pg. 723 #5,21,29,43,51,63

• Rationalize Denominators. Review pg . 730 # 9, 39

• Solve radical equations. Review pg. 736 # 11,31.

**Quadratic Equations**

• Solve quadratic equations by factoring or by the quadratic formula. Review pg.
592 # 11,21,29,37; pg. 794 # 11,23.

• Solve application problems involving quadratic equations. Pg.597 # 21,31