Functions and Systems of Equations

Exponents

100

Evaluate: 5³

125

200

Simplify as a positive exponent:

4^-2

1/16

300

Simplify:

2x^{8   .}    6x³

12x¹¹

400

(3x²y⁴z)²

9x⁴y⁸z²

500

 [5x⁶y^{3   .}  (2x²)³] / 4x⁸y

10x⁴y²

Linear Functions

100

What is the slope of the line perpendicular to y=2x+20?

-1/2

200

How is a slope-intercept form written?

y=mx+b

300

What is the slope of the line that passes through the points (7, 3) and (6,-2)?

Slope = 5

400

John has a job selling souvenirs at a football stadium. He earns $10 dollars per game plus $2 for each souvenir he sells. How many souvenirs does John need to sell to earn a total of $26 for working at one game?

He needs to sell 8 souvenirs.

500

A function is shown below:

g(x)= 15 + 4x

What is the value of g(20)?

g(20) = 95

Exponential Functions

100

Does the equation shown below indicate exponential growth or exponential decay? y=350 (1.07)^x

GROWTH

200

What is 3.6% in decimal?

0.036

300

What is the initial value in the exponential function defined by y = 0.5(2)^x ?

0.5

400

Alyssa invested in an account. The value of the account after t years can be found using the function f(t)= 500(1.068)^t. What is the percent annual rate of change in the value of the account?

Rate= 6.8%

500

The population of the small village doubles every year. In 2000, the population of the small village was 500. What would the population be in the year 2002?

The population in the year 2002 is 2000.

Quadratic Functions

100

What is the standard form of a Quadratic Function?

y= ax²+bx+c

200

Factor: 4x² + 20x

4x(x + 5)

300

What is the value of the positive zero of the function f, defined by f(x)=x² - 144?

x=12

400

What are the factors of x² + 5x +6?

(x + 2)(x + 3)

500

Factor out 4x² - 4x +1. 

(2a - 1)(2a - 1) or (2a - 1)²

Systems of Equations

100

A system of equations is shown below.

y= 6x + 10

x= 5

What is the solution to the system?

The solution of the system is (5, 40)

200

A system of equations is shown below.

y= 6x + 10

x= 5

What is the value of x + y?

x + y = 45

300

A system of equations is shown below.

4x + 2y = 10

2x - 2y = 8

What is the value of x in the solution to the system?

x = 3

400

A system of equations is shown below.

2x + 4y = 16

y = 3

What is the  value of y - x?

y - x = 1

500

A system of equations is shown below.

2x + 2y = 24

x = 3y

What is the value of y?

y = 3