Page 1 of 2 5 7 graphing and solving quadratic inequalities 301 quadratic inequalities in one variable one way to solve a is to use a graph. Instructions use black ink or ball point pen.
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Simplify and factor the quadratic expression.
Solving quadratic inequalities worksheet with answers pdf. Solve each equation with the quadratic formula. Worksheets with answers whether you want a homework some cover work or a lovely bit of extra practise this is the place for you. Create your own worksheets like this one with infinite algebra 1.
Any number greater than zero. Solution x2 x 2 2x x 2 0. To solve ax 2 bx c 0 or ax bx c 0 graph y ax bx cand identify the x values for which the.
Solving quadratic inequalities algebraically worksheet name solve the following quadratic inequalities algebraically. 4 or 2. Answer the questions in the spaces provided there may be more space than you need.
Move all terms to one side. You must show all your working out. Example 1 solve the inequality x2 x 2.
Elementary algebra skill solving quadratic equations by factoring solve each equation by factoring. And best of all they all well most come with answers. Solve the quadratic inequality.
Test each region using theinequality. An object is launched directly upward at 64 feet per second from a platform 80 feet. Find the roots of the corresponding quadratic equation.
B there are 2 answers. Solve 2×2 6x 20 o. An object is launched at 4 9 meters per second from a 58 8 meter tall platform.
Use the roots to divide the number line into regions. Answer all questions. 4 7 2 create your own worksheets like this one with infinite algebra 2.
1 x2 x 20 0 2 x2 3x 54 0 3 2x 25x 14 0 4 2x 4x 30 0 5 23×2 6x 9 0 6 2x. 1 x2 9x 18 0 2 x2 5x 4 0 3 n2 64 0 4 b2 5b 0 5 35n2 22n 3 0 6 15b2 4b 4 0 7 7p2 38p 24 0 8 3×2 14x 49 0 9 3k2 18k 21 0 10 6k2 42k 72 0 11 x2 11x 28 12 k2 15k 56. When does the object hit the ground.
Solving quadratic inequalities 1. Solve the quadratic inequality. 21 write an inequality with x on both sides whose solution is x 2 many answers.
Answer key solving quadratic inequalities l3s1 solve each quadratic inequality. Diagrams are not accurately drawn unless otherwise indicated. To solve ax 2 bx c 0 or ax bx c 0 graph y ax bx cand identify the x values for which the graph lies below or on and below the x axis.
1 m2 5m 14 0 2 b2 4b 4 0 3 2m2 2m 12 0 4 2×2 3x 5 0. 2x x 2 22 name one particular solution to question 20.
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