Midterm Review

Unit 1 Equations

100

Which property is used below

2(x+4)=12

2x+8=12

distributive property

200

4x -(6x -3)=2x +3 +x -5

x=1

300

the graph of the equation y = 4^x intersects which axis?

y - axis only.

Unit 2 Functions

100

A one to one function must pass...

the horizontal and vertical line tests

200

if f(x) = 3x + 2 What is f(3)?

11

300

What is the range of y=2^x?

y>0

400

if f(x) = 1/2x - 4 and g(x) = 6x + 9. What is the value of g(f(x))?

3

500

Find the domain and range of the graph of y=log₄x

domain x>0 

range all real numbers

Unit 3 Linear

100

What is the point slope form of a line that has a slope of 3 and passes through the point (5, -2)?

y+2=3(x-5)

200

What is the slope intercept form of a line that has a slope of 2 and passes through the point (-2,1)?

 y= 2x +5

300

What is the inverse of the function y = 2x-3?

y = (x+3)/2

400

Asia and Karla were asked to write the equation of the line that passes through the points (4,-6) and (1,3). Asia wrote y +6=-3(x-4), Karla wrote y = -3x +6. Justify why they are both correct.

Show work to show they are equal, They state the wrote equivalent equations in different forms.

500

Andrew accepted a new job with a starting salary of $40,000 he will get a raise of $2,000 each year. Write an equation to represent his salary after x years. 

Calculate his salary after 15 years

y=40000+2000x

$70000

Unit 4 Exponential

100

Which expression is equivalent to (3x³)²

9x⁶

200

Which expression is equivalent to (x^-3y⁴)/(x⁴y^-6)?

y¹⁰/x⁷

300

Solve for x: 16 = 2^3x+1

1

400

In the equations y = 4000 (.96)^x What is the y intercept and what does it represent?

4000 the initial value

500

Nicole bought an antique for $700 if the value increases 5% annually, what will be the value after 3 years?

810

Unit 5 Logarithms

100

evaluate log₅625

4

200

rewrite in exponential form log₃(x)=3

3³ =x

300

if log₂x=7 then x equals

128

400

What is the inverse of y=log₃x

y=3^x

500

An adult takes 400 mg of ibuprofen. Each hour the amount of ibuprofen decreases by 29%. Write an equation representing the amount in their system after x hours

How much is left after 6 hours to the nearest hundredth?

y=400(.71)^x

^51.24