Final Exam Review

Final Exam Review

If you can, find the value (use a calculator)

Rewrite from one version to the other

Rational Exponents & Radical Expressions

Add Exponents


Subtract exponents


Multiply exponents


Flips a fraction

laws of exponents

Function notation

rewrite for given variable using inverse operations

Rewriting equations

• subtract 3b

• multiply by c

• divide by 4

Write your domain and range as inequalities

 

Domain & Range

• ​Decide what your variable should be and stand for

  (check the actual question to help)

• If you have multiple variables, write multiple equations

• Use other numbers in your problem to create equations

writing equations from word problems

geometric

arithmetic

sequences

Test a point in the original equation to decide where to shade. If your point makes the inequality true, shade where the point is.

quadratic - solve for x-ints & vertex

Linear - graph equation using y=mx+b

two variable inequalities

Test a point in the original equations to decide which of the section(s) to shade. If your point makes the inequality true, shade where the point is.

quadratic - solve for x-ints & vertex

Linear - graph equation using y=mx+b

Systems of inequalities

​Writing equations through 2 point

b = 100 - % for decrease
b = 100 + % for increase

Use negative exponents when going back in time (5 years ago)

Exponential Functions

Describing a graph

• Shape - linear, parabola, description of what it looks like

• Intercepts - x and y intercepts written as (x , y)

• Special Points - vertex, where graphs change direction

• Symmetry - write line of symmetry

• Domain & Range - write as inequalities

• Function or Not a function

• Increasing or Decreasing - intervals of where each happen

Scatterplots & lsrl

• FORM - linear or non linear

• DIRECTION - positive or negative

• STRENGTH - strong, moderate, weak

• OUTLIERS - name them with a point

two way tables

Is there an association?

Find column percentages and compare them

If the percentages are the same or very close -- no association
If the percentages are difference -- there is an association

Multiple Choice

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Multiple Choice

$$\left(-2x^3y^2\right)\left(5xy^4\right)$$  

• $$3x^3y^8$$  

• $$3x^4y^6$$  

• $$-10x^3y^8$$  

• $$-10x^4y^6$$  

Multiple Choice

Solve for x:

• x = yb - v
• x = by - v
• x = by + v

Multiple Choice

What is the domain?

• -3 < y ≤ 3
• -4 ≤ y ≤ 5
• -4 ≤ x ≤ 5
• -3 < x ≤ 3

Multiple Choice

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Multiple Choice

Find the generator: -34, -29, -24, -19, ...

• -5

• +5

• -6

• 6

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?

• 14,000 employees
• 12,386 employees
• 40,360 employees
• 15,748 employees

Multiple Choice

Is the graph of the equation increasing, decreasing, or constant?

• Increasing

• Decreasing

• Constant

Multiple Choice

Describe the association between the number of lanes rented and the number of people bowling.

• Non-linear association
• Negative linear association
• No association
• Positive linear association

Multiple Choice

What percentage of girls have blonde hair?

• 30%
• 32%
• 29%
• 40%