GED Math Final Review

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Michael is planning to build a rectangular garden. The area of the garden can be represented by the expression -28x²+35x square meters, where x is the width in meters. Which expression can Michael use to factor the area of the garden?

• 7x(4x+5)

• -7x(4x-5)

• 7x(4x-5)

• -7x(4x+5)

Harper is designing a square garden with an area of 144k²r¹⁴ square meters. She wants to find the length of one side of the garden.

Which expression represents the length of one side of the garden for all positive values of k and r?

• 12kr⁷

• 72k²r¹⁴

• 144kr⁷

• 12k²r¹⁴

Anika is planning a rectangular garden. The length of the garden is 17 meters more than its width. The area of the garden is 60 square meters. Which expression represents the dimensions of the garden?

• (x-20)(x+3)

• (x-5)(x-12)

• (x-20)(x-3)

• (x+5)(x-12)

Mason is designing a garden and wants to create a parabolic path. The function for the path is given by f(x) = 1/3(4-x)². What is the value of f(16) when x represents the distance in meters from the starting point?

• 144

• 72

• 24

• 48

Kai is designing a square garden and wants the area to be 81 square meters. If the side length of the garden is (x+7) meters, what are the possible values of x?

• -74 and 88

• -2 and 16

• -88 and 74

• -16 and 2

Ethan is designing a parabolic archway for a garden. The function that models the shape of the archway is f(x)=-4(x+7)²-6. Which function represents the expanded form of this equation?

• f(x) = -4x²-56x-202

• f(x) = -4x²+14x+43

• f(x) = -4x²-56x-172

• f(x) = -4x²+190

Rohan is organizing his bookshelf. He has q⁴ books on each of his 3 shelves, but he decides to remove books from some shelves, resulting in (q⁴)^-3 books. Meanwhile, his friend Michael has q^-15 books. How many times more books does Rohan have compared to Michael?

• q²⁷

• 1/(q²⁷)

• q³

• 1/(q³)

Anika is planning to build a rectangular garden. The area of the garden is represented by the expression 21x²+13x - 20 square meters. Which expression represents one of the possible dimensions of the garden?

• 3x-4

• 7x-5

• 7x+4

• 3x+5

Aria is planning a road trip and wants to calculate the slope of the road between two towns. The elevation of the first town is at 5 meters above sea level, and the elevation of the second town is at -11 meters. If the horizontal distance between the two towns is 14 kilometers, what is the slope of the road?

• -2

• -1/2

• 7

• 2