Big Ideas Algebra Chapter 8 Review

(3x⁴y³z⁵)³

• 12x¹²y⁹z¹⁵

• 9x¹²y⁹z¹⁵

• 3x¹²y⁹z¹⁵

• 27x¹²y⁹z¹⁵

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y = 6(0.14)^x

• y = 6(1 + 14)^x

• y = 6(1.14)^x

• y = 6(0.86)^x

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

Does this data show exponential or linear behavior? What's the equation?

Solve the Rational Exponent Equation:

• A

• B

• C

• D

Solve. (3x - 5)^1/4 + 3 = 4

• 4/3

• 2

• -2

• -4/3

Solve. (6x - 3)^2/3 + 6 = 15

• x = -5, x = 4

• x = 5

• x = 5, x = -4

• no solution

Solve for x:

• 3

• 2

• 1

• 0

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x