Algebra 1A Final Review

C-Ville Plumbing charges $77 for parts and $31 per hour of labor for a job. Montgomery Plumbing charges a flat fee of $150 for the same job. If the job will take 3 hours, which company will be cheaper?

• C-Ville Plumbing

• The costs will be the same

• Montgomery Plumbing

• It cannot be determined with the given information

Use the graphs of f(x) and g(x) to determine all of the approximate solutions of the equation f(x) = g(x). Select TWO answers.

• x = -1.2

• x = -0.8

• x = 3.4

• x = 0.3

• x = -0.2

The hare and tortoise are racing. The hare gives the tortoise a 435-meter head start. The tortoise moves at an average rate of 5 meters per minute while the hare's speed is 30 times faster. The distance-time graph of this scenario is shown below. How long will it take the hare to catch up to the tortoise?

• 1 minute

• 2 minutes

• 3 minutes

• 4 minutes

What is the approximate solution to ( p(x) = q(x) )? Use a graphing calculator and round your answers to three decimal places when necessary.

• 2.076

• 1.231

• -2.340

• 3.250

Tags

CCSS.8.EE.C.8B

The equation ( y = 2/5x + 3 ) is graphed below. Which graph shows the result of changing the 3 in the equation to -1?

• Graph A

• Graph B

• Graph C

• Graph D

Consider the function f(x) = 2(4x)^3 - 8. For what set of x-values is the function positive?

• x > 0

• x > 1

• x > -8

• x > -6

The function F(t) = 500(1 + 0.04)^t graphed below shows the balance of an investment, F, after t years. What is the significance of the point (0, 500) within the given context?

• The initial balance of the investment was $500.

• The balance increased $500 each year.

• The ending balance of the investment was $500.

• The balance will be greatest in 500 years.

Tags

CCSS.HSF.LE.B.5

The graph shows the number of carbon-14 atoms in a sample, N, as a function of time t. Which TWO statements are true?

• At exactly 10,000 years, there is less than 1 billion carbon-14 atoms

• The number of carbon-14 atoms is decreasing over time.

• The number of carbon-14 atoms is increasing over time.

• The initial sample contained 50 carbon-14 atoms.

• The initial sample contained 5 billion carbon-14 atoms.

What is the slope of the line shown below?

• A) 1/2

• B) 2

• C) -2

• D) -1/2

Tags

CCSS.8.EE.B.5

What is the slope of the graph of the given equation? ( y = -8x + 6 )

• The slope is -6.

• The slope is -8.

• The slope is 8.

• The slope is 6.

Tags

CCSS.8.EE.B.5