Algebra 1 GMAS Review Unit 4

A certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria’s population is A = P₀ ∙ 1.02^t , where P₀ is the original population and t is the time in hours.

If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?

• 7

• 272

• 1,449

• 20,000

Which function represents this sequence?

• f(n) = 3^{n – 1}

• f(n) = 6^{n – 1}

• f(n) = 3(6^{n – 1})

• f(n) = 6(3^{n – 1})

The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?

• f(x) = 2^x

• f(x) = 3^x

• f(x) = 4^x

• f(x) = 5^x

Which function shows the function f(x) = 3^x being translated 5 units down?

• f(x) = 3^x – 5

• f(x) = 3^{(x + 5)}

• f(x) = 3^{(x – 5)}

• f(x) = 3^x + 5

Which function is modeled in this table?

• f(x) = 1,000(0.80)^x

• f(x) = 1,000(0.20)^x

• f(x) = 1,000(0.80)^{x – 1}

• f(x) = 1,000(0.20)^{x – 1}

Which explicit formula describes the pattern in this table?

• C = 6d

• C = d + 6

• C = 6^d

• C = d⁶

If f(12) = 100(0.50)¹², which expression gives f(x)?

• f(x) = 0.50^x

• f(x) = 100^x

• f(x) = 100(x)¹²

• f(x) = 100(0.50)^x

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5(2^t), where t is the time in years. The graph of the function is shown.

Which values best describe the range of the population?

• any real number

• any whole number greater than 0

• any whole number greater than 5

• any whole number greater than or equal to 5

The function graphed on this coordinate grid shows f(x), the height of a dropped ball, in feet, after its xth bounce.

On which bounce was the height of the ball 10 feet?

• bounce 1

• bounce 2

• bounce 3

• bounce 4

Which equation represents this graph?

• y = 2^{(x + 1)} – 2

• y = 2^{(x – 1)} + 2

• y = 2^{(x + 2)} – 1

• y = 2^{(x – 2)} + 1