MATH 31

A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and the third side 15 feet longer than the shortest side. If the perimeter is 100 feet and if x represents the length of the shortest side, find an equation to solve for the lengths of the three sides.

• x + 2x + x + 15 = 100

• x + 15 = 2x

• x + 15 + 2x = 100

• x + 2x = x + 115

Which of the following is the largest?

• (5 - 2)

• ( 2 -5)

• (- 2-5)

• (5 -2 + 2-5)

Which of the following numbers is the smallest?

• -3/4

• -3/2

• -1

• -2/3

Expand: (2X-3)^2

• 4x^2 - 9

• 4x^2 +9

• 2x^2 -12X +9

• 4x^2 -12X +9

The difference of twice a number and six is four times the number. Find an equation to solve for the number.

• 2x – 6 = 4

• 2x – 6 = 4x

• 2x + 6 = 4x

• 2x – 6 = x + 4

(x+2)(x^2 -2x + 4) =

• x^3 + 8

• x^3 - 8

• x^3 + 8x + 8

• x^3 - 8x - 8

Subtract the polynomials:

(9x^2 - 4x + 11) - (3x2 - 2x + 2)

• 6x^2 - 2x + 9

• 6x^2 + 2x + 9

• 6x^2 - 2x - 9

• 6x^2 + 2x - 9

Add the polynomials: 2a +3b + 5a -7b

• 7a -4b

• 7a +4b

• 3ab

• 7a -10b

Solve for x : 3(x + 1) = - 6

• -2

• -3

• 1

• 7/3

Write the fraction in lowest terms:

• 2b^3 / 3a^2

• 2b^2 / 3a^3

• 3a^2 / 2b^3

• 2a^2 / 3b^3