Easy Algebra Step-by-Step

152 Easy Algebra Step-by-Step Step 4. Review the main results. 11 11 xy 11 11 xy xy xy yx xy yx xy + =+^1 ⎛ ⎝ ⎛⎛ ⎝⎝ ⎞ ⎠⎟ ⎞⎞ ⎠⎠ ÷ ...

Rational Expressions 153 Exercise 13 For 1–10, reduce to lowest terms. 1. 18 54 342 32 xy^3 z xz^3 2. 15 3 y y 3. x x − − 5 5 4. ...

154 14 Solving Linear Equations and Inequalities A linear equation in one variable, say x, has the standard form ax + b = c, a ≠ ...

Solving Linear Equations and Inequalities 155 Tools for Solving Linear Equations Add the same number to both sides. Subtract the ...

156 Easy Algebra Step-by-Step Step 7. Check your answer by substituting −5 for x in the original equation, 5 x+ 9 = 3 x − 1 Subs ...

Solving Linear Equations and Inequalities 157 Step 4. Simplify. x= − 7 Step 5. Check your answer by substituting −7 for x in the ...

158 Easy Algebra Step-by-Step e. xx^3 = 2 24 x+ 5 Step 1. Eliminate fractions by multiplying both sides by 10, the least com- mo ...

Solving Linear Equations and Inequalities 159 Solving Two-Variable Linear Equations for a Specifi c Variable You can use the pro ...

160 Easy Algebra Step-by-Step have a true inequality, namely, −8 < −2. You can verify that −8 < −2 is a true inequality by ...

Solving Linear Equations and Inequalities 161 When solving an inequality, do not reverse the direction of the inequality symbol ...

162 Easy Algebra Step-by-Step Step 4. Simplify. x < − 7 is the answer. Exercise 14 For 1–5, solve the equation for x. x − 7 ...

163 15 Solving Quadratic Equations Quadratic equations in the variable x can always be put in the standard form ax^2 ++bxbx c= 0 ...

164 Easy Algebra Step-by-Step Problem Solve x^2 = 7. Solution Step 1. Solve for x^2. Step 2. Because both sides are nonnegative, ...

Solving Quadratic Equations 165 When the coeffi cient b of a quadratic equation is not 0, the quick solution method does not wor ...

166 Easy Algebra Step-by-Step b. xx^2 +=x 6 Step 1. Put the equation in standard form. xx^2 +−x 60 Step 2. Factor. ())))))(()((( ...

Solving Quadratic Equations 167 Solution Step 1. Complete the square on the left side by adding the square of 1 2 the coeffi cie ...

168 Easy Algebra Step-by-Step When you’re identifying coeffi cients for ax^2 ++bxbx c= 0 , keep a − symbol with the number that ...

Solving Quadratic Equations 169 = − 24 ± 4 () 11 = − = 22 ± 11 4 2 4 ()− 1 ± 11 = − 11 ± 1 2 Step 2. State the solution. The sol ...

170 Easy Algebra Step-by-Step For 4–10, solve by any method. x^2 − 686 xx^2323 xx = 0 91 xx^21118881870 61 xx^211122272 = 0 xx^ ...

171 16 The Cartesian Coordinate Plane In this chapter, you learn about the Cartesian coordinate plane. Defi nitions for the Plan ...