1. Equations & Inequalities

The Quadratic Formula

Multiple Choice
Solve the given quadratic equation using the quadratic formula. $2x^2-3x=-3$
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Multiple Choice
Determine the number and type of solutions of the given quadratic equation. Do not solve.
$x^2+8x+16=0$
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Multiple Choice
Determine the number and type of solutions of the given quadratic equation. Do not solve.
$-4x^2+4x+5=0$
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Textbook Question
Solve each equation in Exercises 1 - 14 by factoring. $2 x (x - 3) = 5 x^{2} - 7 x$
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Textbook Question
Solve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)
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Textbook Question
Solve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)²
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Textbook Question
Solve each equation in Exercises 15–34 by the square root property. (x + 2)² = 25
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Textbook Question
Solve each equation in Exercises 15–34 by the square root property.3(x - 4)^2 = 15
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Textbook Question
Solve each equation in Exercises 15–34 by the square root property.(x + 3)^2 = - 16
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Textbook Question
Solve each equation in Exercises 15–34 by the square root property. (2x + 8)² = 27
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Textbook Question
In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x^2 + 12x
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $x^{2} + 6 x = 7$
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 2 x = 2$
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 6 x - 11 = 0$
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $2 x^{2} - 7 x + 3 = 0$
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