Formulas

Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The formula for the area of a circle is A = pier^2) A. 113.1 sq. ft. B. 59.2 sq. ft. C. 355.3 sq. ft. D. 18.8 sq. ft.

ANSWER A. 113.1 sq. Ft.

If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes? A. 425 miles B. 475 miles C. 500 miles D. 400 miles

ANSWER A. 425 miles

The reciprocal of 1⅖ is A. 5/7 B. 1 5/2 C. 7/5 D. 1 2/5

ANSWER A. 5/7

The formula for perimeter is p = 2 I + 2 w. If the perimeter p of a rectangle is 200 mm (millimeters) and the width w = 30 mm, what is I? A. 70 mm B. 100 mm C. 140 mm D. 60 mm

ANSWER A. 70 mm

The expression a = 4b^3 - 7 can be written in words as the quantity a is equal to A. four times b times three minus seven. B. seven less than b cubed divided by four. C. seven less than four times the quantity b cubed. D. four times the cube root of b minus seven.

ANSWER A. four times b times three minus seven

Find the value of x in the following equation: X/2 + 2X/5 = 18. A. x = 20 B. x = 2 C x = 1 1/2 D. x = 25 5/7

ANSWER A. x = 20

The number x is equal to another number n plus the square root of 3. Which one of the following formulas correctly expresses this statement? A. x= n+/3 B. x = n + 32 C. x = 3n^2 D. x = /n + 3

ANSWER A. x= n+/3

Solve the expression for x: /5x (4 - 2) = 20 A. 2 B. 20 C. 5 D. 4

ANSWER B. 20

Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula? A. R = 3(s + t) B. R = 5t C. R = 5s D. R = 3(s+ 2t)

ANSWER B. R = 5t

Suppose you're given the formula q = 2o+ 6p. If you know that p= o - 7, how could you rewrite the formula? A. q = 2o- 42 B. q = 8o- 42 C. q = 12o - 36 D. q = 8o- 36

ANSWER B. q = 8o- 42

x + 4b = 72. If x = 12, what's the value of b? A. 20 B. 12 C. 15 D. 16

ANSWER C. 15

Calculate the current in a circuit with resistance (r) of 30 and electromotive force (E) of 120 VDC. A. ¼ A B. 8 A C. 4 A D. 2 A

ANSWER C. 4 A

If the area A of a triangle is 60 m^2 (square meters) and the base b is 20 m, what is the altitude h? A. 3 m B. 11/2 m C. 6 m D. 2/3 m

ANSWER C. 6 m

ballroom is 60 feet long and 30 feet wide. Which of the following formulas is the correct formula to determine the perimeter of the ballroom? A. p = 30 × 30 + 60 × 60 B. p = 2 + 60 + 2 + 30 C. p = 2 × 60 + 2 x 30 D. p = 60 x 30

ANSWER C. p = 2 × 60 + 2 x 30

The expression a = 3b^2 + 2 can be written in words as the quantity a is equal to A. three times the square root of b plus two. B. three times the quantity two plus b squared. C. two more than three times the quantity b squared. D. two plus the square root of three times b.

ANSWER C. two more than three times the quantity b squared.

Find the value of y in the formula y = 5a - 3b + c, if a = 12, b = 4, and c = 8. A. 40 B. 64 C. 80 D. 56

ANSWER D. 56

A ballroom is 60 feet long and 30 feet wide. Which of the following formulas is the correct formula to determine the area of the ballroom? A. a = 2 + 60 + 2 + 30 B. a = 2 × 60 + 2 × 30 C. a = 30 × 30 + 60 × 60 D. a = 60 x 30

ANSWER D. a= 60 x 30

Ohm's law can be expressed by the formula i = e/r. From this formula, find the formula for resistance r. A. r = ie B. r = i + e C. r = i/e D. r = e/i

ANSWER D. r = e/i

Simply put, an equation shows A. a rule for finding an unknown quantity. B. a method for finding the value x. C. the value of an unknown quantity. D. that one thing is equal to another.

ANSWER D. that one thing is equal to another.

The formula for finding a number that's the square root of the sum of another number n and 6 is A. x = /n + /6. B. x = /n + 6 C. x = /n6. D. x = /n+6

ANSWER D. x=/n+6