TN EOC Review

Which expression is equivalent to

(3𝑥² − 𝑥 − 2) − (−5𝑥² − 2𝑥 −4) ?

• −2𝑥² − 𝑥 − 2

• −2𝑥² − 3𝑥 − 6

• 8𝑥² + 𝑥 + 2

• 8𝑥² + 3𝑥 + 6

Select the expression equivalent to

(−4𝑥 + 3) − (−2𝑥 + 5) .

• -2x

• -2x - 2

• -6x - 2

• -6x + 8

Consider the expression (𝑥² − 16)(𝑥 + 2). Select all values of 𝑥

for which (𝑥² − 16)(𝑥 + 2) = 0.

• 4

• 8

• -4

• -2

• -16

The population of Huntsville in 2010 was 87,000. The population grows by 3% each year.

Which type of function can represent the population of Huntsville 𝑡 years after 2010?

• cubic

• exponential

• linear

• quadratic

The population of a town can be modeled by the function

𝑃(𝑡) = 20,696(0.9974)^t, where 𝑡 is the number of years that have passed since the year 2000.

Which statement is true about the population of the town for each year since 2000?

• It has been decreasing by 0.26% each year.

• It has been decreasing by 0.0026% each year.

• It has been increasing by 0.9974% each year.

• It has been increasing by 99.74% each year.

The Smith family paid $89,250 for their home. The value of the home increases 4.5% each year. Create an equation that represents the value, 𝑣, of the house after 𝑡 years.

• v = 89250(4.5)^t

• v = 89250(1.45)^t

• v = 89250(1.045)^t

• v = 89250(1.0045)^t

A new eye clinic sold 47 pairs of eyeglasses the first month it was open. The number of pairs of eyeglasses sold increases by 25% each month thereafter. The equation 𝑓(𝑥)=47(1.25)^x gives the number of pairs of eyeglasses sold each month after the clinic’s opening.

About how many pairs of eyeglasses will be sold in the 10th month?

• 587

• 547

• 438

• 350

A bacterial culture contains 500 bacteria. The number of bacteria triples each day. How many bacteria will be in the culture after 5 days?

• 7,500

• 4,500

• 62,500

• 121,500

What is an equation for a line with a slope of −1/2 that passes through the point (4,−6) ?

• y = -1/2x + 1

• y = -1/2x - 4

• y = -1/2x - 7

• y = -1/2x + 8

A fence is being built around a rectangular garden. The length of the garden is 35 feet, and the total fencing used to enclose the garden measures 160 feet.

Which equation can be used to find the width, 𝑤, of the garden, in feet?

• 35w = 160

• 70w = 160

• 35 + 2w = 160

• 70 + 2w = 160