Q2 Review Algebra

If f(x) goes through the point (7,-4) and has the slope of -2 and g(x) is represented by the equation g(x) = 3x+15 , which of the following comparisons is TRUE?

• f(x) has a greater slope that g(x)

• f(x) has a greater y-intercept that g(x)

• f(x) has a smaller x-intercept that g(x)

• f(x) has a smaller value than g(x) at x= -7

If the points (3,r) and (d,2) are solutions of the equation 4x+2y=20. What is the value of r?

• 2

• 3

• 4

• 1

If the points (3,r) and (d,2) are solutions of the equation 4x+2y=20. What is the value of d?

• 1

• 2

• 3

• 4

You are keeping a log of your hours worked and your paycheck in a table. Which equation could you use to model the total paycheck you would receive in the future?

• y=7.25x

• y=16x+116

• y=16x

• y=7.25x+16

Write an equation for the following function.

• y=x+7

• y=2x

• y=2x+5

• y=2.25x+5

From 2003-2007, the unemployment rate dropped. It is recorded in the table. What is the average rate of change of the unemployment rate between 2003 and 2007?

• 0.28

• 5.16

• -0.28

• -5.16

You are responsible for draining water from a lake after a flood. The table represents the amount of water remaining to be drained, in g gallons, after t hours. What is the average rate of change from 1 to 5 hours after you started draining the lake? Explain the data.

• 800 gph; this means the average amount of water draining from the lake every hour from the beginning.

• 800 gph; this means the average amount of water draining from the lake from t=1 to t=5

• 1000 gph; this means the average amount of water draining from the lake every hour from the beginning.

• 1000 gph; this means the average amount of water draining from the lake from t=1 to t=5

Can you estimate the average rate of change between two points by finding the slope?

• yes

• no

What is the estimated average rate of change between 200 and 400 seconds?

• 5 mps

• 2.5 mps

• 10 mps

• 20 mps

Which statement is TRUE

• The function g(x) is greater than the function f(x) at x = 2

• The function f(x) has a greater y-intercept than the function g(x)

• The function g(x) has a greater x-intercept than the function f(x)

• The function f(x) has a greater rate of change than the function g(x)