End of Foundation Exam Review

Average Rate of Change

100

What is the average rate of change of f(x) = 3x² - 4 between x = 2 and x = 4?

18

200

Given the function  f(x)=2^x,  what is the average rate of change from f(-1) to f(3)?

15/8 or 1.875

300

Using figure C, What is the average rate of change of f (x ) from x = -4 to x = 0?

-1/2 or -0.5

400

Using figure B, What is the average rate of change of the function from x = 1 to x = 3?

15

500

Using Figure A, Which interval BEST shows a constant rate of change?

4<x<10 or [4,10]

Function Graphs

100

Using Figure D, Identify if the graph has a minimum or maximum point and what is it's ordered pair?

Max @ (2,5)

200

Using figure C, What are the x and y intercepts?

X intercept ( -2, 0 )    Y intercept ( 0, -1 ) 

300

Using Figure D, Over what input is the output decreasing?

Where x > 2

400

Which figure between A-D is a function decreasing at a constant rate per unit?

Figure C

500

Using Figure E, Identify the intervals where the graph is Increasing, Decreasing, and Constant.

Constant -10<x<-5      Decreasing -5<x<-1    Increasing x>-1

Linear Functions

100

What is the x intercept of the function y = 1/2x - 2

(4,0)

200

Using figure I, Which graph represents the function -4x + 3y = 3

A

300

Using figures F, Which graph represents the relationship x - 2y = 6?

B

400

Using Figure G, Write the equation that represents the graph.

y= -2/3x - 1

500

Using figure H, which shows the cost of two electricians, Approximate Joan and Scotts fixed fee.

Joan charges about $55 initially and Scott charges $130 initially. 

Systems

100

Consider the function f(x) = 8 (1/4)^x Which points in figure J are solutions to this function?

B (1,2) and C (0,8)

200

Find the solution to the systems of equations. y = 7x and  y = 3x + 8.

(2, 14) 

300

Using Figure K, What is the systems of equation that represents this graph?

x < - 3 and y > or = 1/2x + 3 

400

Roberto tutors geometry students and delivers pizza. For 5 hours of tutoring and 3 hours of pizza delivery, he earns $167. For 3 hours of tutoring and 1 hour of pizza delivery, he earns $89. What is his hourly rate for each job?

tutoring = $25 and pizza delivery = $14

500

Using Figure H which shows two electricians prices, Which person charges more at 2 hours and who charges more at 3 hours?

@ 2hrs Scott charges more and @ 3hrs they charge the same.

Equations & Inequalities

100

Solve for x.   2 ( x + 3 ) = 5x

x = 2

200

Solve for x. 2x + 4 < 8

x < 2

300

Solve for n. -2n +7 > -11

n < 9

400

A student is solving an equation -3x + 9 = 0 , using figure L what would be the next correct step?

B

500

Using figure M, What mistake(s) were made in solving this equation?

Did not distribute 7 correctly between Given and Step 1