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