Exponential Expressions

If f(x) = 4x-2 and g(x) = 3x + 8, what is h(x), when h(x)= f(x) + g(x)?

• h(x) = -2x + 10
• h(x)= 2x + 10
• h(x) = 7x + 6
• h(x)= 6x + 10

If f(x) = 2x² - 3x + 2 and g(x) = 2x² - 3x -2, what is f(x) - g(x)?

• 6x + 4
• 0
• 4x² - 6x
• 4

If f(x) = 3x³ + 6x² + 12 x and g(x) = x² , what is the product of f(x) and g(x)?

• 3x³ + 7x² + 12 x
• 3x⁶ + 6x⁴ + 12 x
• 6x³ + 12 x² + 24 x
• 3x⁵ + 6x⁴ + 12 x³

What is (3x³y⁴z²)³?

• 9x⁶y⁷z⁵
• 9x⁹y¹²z⁶
• 27x⁶y⁷z⁵
• 27x⁹y¹²z⁶

The expression 500(2)^x can be used to determine the size of a population that grows over a period of time.  What does 500 represent in the expression?

• The final size of the population
• The initial size of the population
• the amount of time necessary to double
• The rate at which the population is growing

( 6a³b⁴c)²

• 12a⁵b⁶c²
• 12a⁶b⁸c²
• 36a⁵b⁶c²
• 36a⁶b⁸c²

During a sale, a store advertised that every item in the store was 35 percent off the marked price.  During this sale, what was the cost, in dollars, of an item that was marked x dollars?

• 0.35x
• 1-0.35x
• x-0.35
• x - 0.35x

Simplify: (x² / x^-4)⁵

• x¹¹
• x¹³
• x³⁰
• x⁴⁰

(8x⁹) / (2x³)

• 4x³
• 4x⁶
• 6x³
• 6x⁶

Dee is driving home from a conference.  The expression 705- 60h gives the  number of miles from home after driving h hours. Which best represents the meaning of the term 60h?

• the number of miles Dee drove in h hours
• The number of miles Dee drove each hour
• The number of miles Dee had to drive before she started
• The number of miles Dee had left to drive after driving h hours.