solve for x examples pdf

solve for x examples pdf 10 x 2 In each of the above calculations we worked on the equation by trying to get x on one side and all the rest of the expression on the other side This is a basic method for solving equations in one variable To simplify the expression involving x we simply undid whatever was done to

Solve the following equations to find the value of x x 3 9 x 7 20 x 5 8 d x 9 9 g x 15 0 j x 5 0 m 8 Solving Rational Equalities Equations Method 1 Combine terms using least common denominator Example x Combine terms on left Find least common multiple of 2 and 5 Solve 140 Check solution 20 10 4 Method 2 Multiply entire equation by least common denominator Example Ion I 1 On multiply entire equation by LCD to get lid of the

solve for x examples pdf

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If x takes on a value of 4 then the equation will be a true statement since 2 4 3 11 The value of this variable 4 is called the solution of the equation and we write the solution as x 4 Let us now try to solve the equation in the examples below a x 3 10 d 21 Explain two ways you could solve 20 5 3 x 2 D 72 g061 U1Y 5K Uu Ptxat nSTozfHtKw4aDr Fe y yLzLpCJ j j uA xl Fl H frzi Ngvh ntwsf 9r Desje Lrmv3eGdj g b gM da gdke N Lw6ixtWhX CIenWf4i on Pijt1e L TAHlWgfe rb UrTa0 m2O b Worksheet by

Practice the different solve for x type of questions using this worksheet choose from factorising completing the square inequalities questions simultaneous equations algebraic fractions exponential equations and story sums Directions Solve for x in each equation below Use inverse operations to get the variable all by itself on one side of the equation and then get the integers numbers alone on the other side of the equation Examples 5x 2x 48 subtract 2x from both sides 5x 12 2x 36 subtract 2x from both sides

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Inequalities are mathematical expressions involving the symbols We will extend this to more complex examples 1 Solve for x and y x 2y 8 and 2x y 11 Method 1 Substitution Call the equations 1 and 2 x 2y 8 1 2x y 11 2 Make either x or y the subject From 1 x 8 2y Now substitute into 2 2 8 2y y 11 LLessonesson 10 L DVD

SOLVING QUADRATIC EQUATIONS In this brush up exercise we will review three different ways to solve a quadratic equation EXAMPLE 1 Solve 6 2 15 0 SOLUTION We check to see if we can factor and find that 6 2 15 0 in factored form is 2 3 3 5 0 We now apply the principle of zero products 2 3 0 3 5 0 Example 1 Solve the equations a 3x 8 x 10 b x 2 6 Solution a By Rule 1 we may add 8 to both sides 3x 8 8 x 10 8 i e 3x x 18 By Rule 2 we may subtract x from both sides 3x x x 18 x i e 2x 18 Finally by Rule 4 we may divide both sides by 2 giving x 9 b By Rule 3 we may multiply both sides by 2 2 1 x 2

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solve for x examples pdf - Directions Solve for x in each equation below Use inverse operations to get the variable all by itself on one side of the equation and then get the integers numbers alone on the other side of the equation Examples 5x 2x 48 subtract 2x from both sides 5x 12 2x 36 subtract 2x from both sides