Deck 8: Quadratic Equations and Functions

Question 1

Use the square root property to solve each equation.

-x² = 144

Answer 1

{-12, 12}

Question 2

Use the square root property to solve each equation.
-y² = 7

Answer 2

$\{-\sqrt7, \sqrt7\}$

Question 3

Use the square root property to solve each equation.
-( x - 2)² = 16

Answer 3

{-2, 6}

Question 4

Use the square root property to solve each equation.
-(x + 4)² = 8

Question 5

Use the square root property to solve each equation.
-x² + 16 = 0

Question 6

Use the square root property to solve each equation.
-(2z - 3)² = 18

Question 7

Use the square root property to solve each equation.
-4 x² - 40 = 0

Question 8

Use the square root property to solve each equation.
-(y + 3)² - 25 = 0

Question 9

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial.
-x² + 14x

Question 10

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial.
-z² - 2z

Question 11

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial.
-m² + 7m

Question 12

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial.
-r² - 20r

Question 13

Solve each equation by completing the square.
-x² - 4x = 21

Question 14

Solve each equation by completing the square.
-x( x - 6) = 16

Question 15

Solve each equation by completing the square.
-2x² - 2x = 3

Question 16

Solve each equation by completing the square.
-x² - x + 1 = 0

Question 17

Solve each equation by completing the square.
-4x² = 9x

Question 18

Solve each equation by completing the square.
-2x² - 5x + 3 = 0

Question 19

Solve each equation by completing the square.
-3y² + 2 y + 4 = 0

Question 20

Solve each equation by completing the square.
-Use the formula A = P(1 + r)^t to find the rate r at which $1500 grows to $1749.60 in 2 years.

Question 21

Use the quadratic formula to solve each equation.
-x² + 8x +15 = 0

Question 22

Use the quadratic formula to solve each equation.
-x² - x + 1 = 0

Question 23

Use the quadratic formula to solve each equation.
-x² - 6x = -10

Question 24

Use the quadratic formula to solve each equation.
-8y² + 1 = 4y

Question 25

Use the quadratic formula to solve each equation.
-2x² - 3x = 1

Question 26

Use the quadratic formula to solve each equation.
-2 y² = 2 y - 1

Question 27

Use the quadratic formula to solve each equation.
-5z² = 2z - 3

Question 28

Use the quadratic formula to solve each equation.
-x² + 4 = 0

Question 29

Use the quadratic formula to solve each equation.
-x² - 4x + 2 = 0

Question 30

Use the quadratic formula to solve each equation.
-x² - 4x = 1

Question 31

Use the quadratic formula to solve each equation.
-1 - 2z = 4z²

Question 32

Use the quadratic formula to solve each equation.
-x² + 5 = 2x

Question 33

Use the quadratic formula to solve each equation.
-4x² + 9 = 12x

Question 34

Use the quadratic formula to solve each equation.
-6(r² - 1) = 5r

Question 35

Use the quadratic formula to solve each equation.
-x² + 4x = -2

Question 36

Use the quadratic formula to solve each equation.
-6y + 1 = - y²

Question 37

Use the quadratic formula to solve each equation.
-x(2x + 9) = 5

Question 38

Use the quadratic formula to solve each equation.
-5x² + 1 = -2x

Question 39

Use the quadratic formula to solve each equation.
-x² + x = 4

Question 40

Use the quadratic formula to solve each equation.
-The diagonal of a rectangle measures 10 inches. If the length is 2 inches more than the width, find the dimensions of the rectangle.

Question 41

Solve.
-

Question 42

Solve.
-

Question 43

Solve.
-

Question 44

Solve.
-

Question 45

Solve.
-

Question 46

Solve.
-

Question 47

Solve.
-

Question 48

Solve.
-

Question 49

Solve.
-

Question 50

Solve.
-

Question 51

Solve.
-

Question 52

Solve.
-

Question 53

Solve.
-

Question 54

Solve.
-

Question 55

Solve.
-

Question 56

Solve.
-

Question 57

Solve.
-

Question 58

Solve.
-

Question 59

Solve.
-

Question 60

Solve.
-

Question 61

Solve. Write the solution set in interval notation.
-(x - 5)(x - 2) > 0

Question 62

Solve. Write the solution set in interval notation.
-x(2x + 7) < 4

Question 63

Solve. Write the solution set in interval notation.
-x² - 4x + 2 $\geq$ 0

Question 64

Solve. Write the solution set in interval notation.
-3y² + 10y $\leq$ 8

Question 65

Solve. Write the solution set in interval notation.
-2m² + m < 15

Question 66

Solve. Write the solution set in interval notation.
--3 > 4x² + 7x

Question 67

Solve. Write the solution set in interval notation.
-5u $\leq$ 2 - 3u²

Question 68

Solve. Write the solution set in interval notation.
-x(x - 2)(x + 4) $\leq$ 0

Question 69

Solve. Write the solution set in interval notation.
-(x² - 4)(x² - 25) $\leq$ 0

Question 70

Solve. Write the solution set in interval notation.
-

Question 71

Solve. Write the solution set in interval notation.
-

Question 72

Solve. Write the solution set in interval notation.
-

Question 73

Solve. Write the solution set in interval notation.
-

Question 74

Solve. Write the solution set in interval notation.
-

Question 75

Solve. Write the solution set in interval notation.
-

Question 76

Solve. Write the solution set in interval notation.
-

Question 77

Solve. Write the solution set in interval notation.
-

Question 78

Solve. Write the solution set in interval notation.
-

Question 79

Solve. Write the solution set in interval notation.
-

Question 80

Solve. Write the solution set in interval notation.
-