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Question : A square sheet of poster board has an area of 256 square centimetres. What is the length of each side : 2151572

Solve for x using an equivalent exponential expression.

41) A square sheet of poster board has an area of 256 square centimetres. What is the length of each side?

A) 128 cm

B) 32 cm

C) 8 cm

D) 16 cm

42) A partial map of a state in a road atlas covers a square area of 25,600 square miles. What is the length of each side of the square area?

A) 16 mi

B) 160 mi

C) 6,400 mi

D) 256 mi

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

43) Solve the following quadratic equation: x^{2} - 9 = 0

44) Solve the following quadratic equation: x^{2} = 25

45) Solve the following quadratic equation: x^{2} = 49

46) Solve the following quadratic equation: x^{2} + 6 = 22

47) Solve the following quadratic equation: x^{2} - 6 = 19

48) Solve the following quadratic equation: 3x^{2} - 12 = 15

49) Solve the following quadratic equation: 2x^{2} + 12 = 20

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

50) Solve the equation with a squared term: x^{2} = (16/25)

A) x = (2/5)

B) x = ±(4/5)

C) x = (4/5)

D) x = ±(8/5)

51) Solve the equation with a squared term: 4x2 - 7 = 137

A) x = ±3

B) x = 3

C) x = ±6

D) x = 6

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

52) Solve the following equation: x^{2} = 64

53) Solve the following equation: m^{2} + 7 = 32

54) Solve the following equation: x^{2} = 81

55) Solve the following equation: x^{2} + 3 = 39

56) Solve the following equation (round to the nearest thousandth): 3x^{2} = 60

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

57) Solve the equation involving a square: x^{2} = 25

A) x = 5

B) x = ±5

C) x = 12.5

D) x = ±12.5

58) Solve the equation involving a square: 2a^{2} - 3= 15

A) x = 4.24

B) x = ±3

C) x = 3

D) x = ±4.24

59) Solve the equation with a squared term: 2x^{2} - 7 = 91

A) x = 4.950

B) x = ±8.270

C) x = ±7

D) x = 7

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

60) Solve the following quadratic equation: 9x^{2} - 25 = 0

61) Solve the following quadratic equation: 4x^{2} - 81 = 0

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

62) Solve the quadratic equation: x^{2} = 36

A) x = 6

B) x = 36, -36

C) x = 36

D) x = 6, -6

63) Solve the following quadratic using any method: x2 = 64.

A) x = 8i, -8i

B) x = 8

C) x = 8, -8

D) x = 8i

64) Solve the quadratic equation, rounding to thousandths when necessary: 16x^{2} = 49

A) x = 5.74, -5.74

B) x = 1.75, -1.75

C) x = 1.75

D) x = 0.57, -0.57

65) Solve the quadratic equation, rounding to thousandths when necessary: x^{2} - 169 = 0

A) x = 13i, -13i

B) x = 13

C) x = 13, -13

D) x = 13i

66) Solve the quadratic equation, rounding to thousandths when necessary: 3x2 + 2 = 50

A) x = 2, -2

B) x = 4, -4

C) x = 4i, -4i

D) x = 16, -16

67) Solve the quadratic equation, rounding to thousandths when necessary: 0.16x^{2} = 0.25

A) x = ±0.8i

B) x = ±1.25i

C) x = ±1.5625

D) x = ±1.25

68) Solve the equation involving a square: x^{2} + 16 = 0

A) x = ±4i

B) x = -4i

C) x = ±2i

D) x = -16i