Repeating decimals

3 Topics
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3 Quizzes
Square roots & cube roots

5 Topics
|
6 Quizzes
Irrational numbers

3 Topics
|
2 Quizzes
- Classify numbers: rational & irrational
Approximating irrational numbers

4 Topics
|
3 Quizzes
- Comparing irrational numbers with a calculator
Exponents with negative bases

6 Topics
|
3 Quizzes
Exponent properties intro

3 Topics
|
4 Quizzes
Negative exponents

2 Topics
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1 Quiz
1. Negative exponents
2. Negative exponent intuition
- Negative exponents
Exponent properties (integer exponents)

2 Topics
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2 Quizzes
1. Multiplying & dividing powers (integer exponents)
  1. Multiply & divide powers (integer exponents)
2. Powers of products & quotients (integer exponents)
- Powers of products & quotients (integer exponents)
Working with powers of 10

2 Topics
|
2 Quizzes
1. Multiplying multiples of powers of 10
  1. Multiplication and division with powers of ten
2. Approximating with powers of 10
  1. Approximating with powers of 10
Scientific notation intro

2 Topics
|
1 Quiz
1. Scientific notation example: 0.0000000003457
2. Scientific notation examples
- Scientific notation
Arithmetic with numbers in scientific notation

4 Topics
|
2 Quizzes
- Multiplying & dividing in scientific notation
- Adding & subtracting in scientific notation
Scientific notation word problems

3 Topics
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1 Quiz
- Scientific notation word problems
Equations with variables on both sides

4 Topics
|
2 Quizzes
Equations with parentheses

1 Topic
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2 Quizzes
1. Equations with parentheses
  1. Equations with parentheses
- Equations with parentheses: decimals & fractions
Number of solutions to equations

4 Topics
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2 Quizzes
- Number of solutions to equations
- Number of solutions to equations challenge
Equations word problems

2 Topics
|
1 Quiz
1. Sums of consecutive integers
2. Sum of integers challenge
- Sums of consecutive integers
Graphing proportional relationships

2 Topics
|
1 Quiz
1. Rates & proportional relationships example
2. Rates & proportional relationships: gas mileage
  1. Rates & proportional relationships
Solutions to linear equations

4 Topics
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2 Quizzes
- Solutions to 2-variable equations
- Complete solutions to 2-variable equations
Intercepts

5 Topics
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2 Quizzes
- Intercepts from a graph
- Intercepts from an equation
Slope

8 Topics
|
3 Quizzes
Intro to slope-intercept form

2 Topics
|
1 Quiz
1. Intro to slope-intercept form
2. Worked examples: slope-intercept intro
- Slope-intercept intro
Writing slope-intercept equations

5 Topics
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2 Quizzes
- Slope-intercept equation from graph
- Slope-intercept from two points
Functions

7 Topics
|
3 Quizzes
Linear models

7 Topics
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3 Quizzes
Comparing linear functions

6 Topics
|
1 Quiz
- Compare linear functions
Constructing linear models for real-world relationships

5 Topics
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1 Quiz
- Writing linear functions word problems
Recognizing functions

9 Topics
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2 Quizzes
- Recognize functions from tables
- Recognize functions from graphs
Linear and nonlinear functions

5 Topics
|
2 Quizzes
- Linear & nonlinear functions
- Interpreting graphs of functions
Intro to systems of equations

3 Topics
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1 Quiz
- Solutions of systems of equations
Solving systems with substitution

6 Topics
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1 Quiz
- Systems of equations with substitution
Number of solutions to systems of equations

5 Topics
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1 Quiz
- Number of solutions to a system of equations algebraically
Systems of equations word problems

7 Topics
|
2 Quizzes
- Age word problems
- Systems of equations word problems
Angles between intersecting lines

4 Topics
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3 Quizzes
Triangle angles

7 Topics
|
3 Quizzes
Pythagorean theorem

3 Topics
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4 Quizzes
Pythagorean theorem application

4 Topics
|
5 Quizzes
Pythagorean theorem and distance between points

1 Topic
|
1 Quiz
1. Distance formula
- Distance between two points
Pythagorean theorem proofs

4 Topics
Volume

3 Topics
|
4 Quizzes
Transformations intro

3 Topics
|
1 Quiz
- Identify transformations
Translations

3 Topics
|
1 Quiz
- Translate points
Rotations

2 Topics
|
2 Quizzes
1. Rotating points
2. Determining rotations
- Rotate points (basic)
- Determine rotations (basic)
Reflections

3 Topics
|
1 Quiz
- Reflect points
Properties & definitions of transformations

3 Topics
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3 Quizzes
Dilations

5 Topics
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2 Quizzes
- Dilations: scale factor
- Dilate triangles
Congruence and similarity

4 Topics
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2 Quizzes
- Congruence & transformations
- Similarity & transformations
Introduction to scatter plots

1 Topic
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1 Quiz
1. Constructing a scatter plot
  1. Making appropriate scatter plots
Interpreting scatter plots

2 Topics
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2 Quizzes
1. Example of direction in scatterplots
2. Scatter plot: smokers
- Positive and negative linear associations from scatter plots
- Describing trends in scatter plots
Estimating lines of best fit

4 Topics
|
3 Quizzes
Two-way tables

3 Topics
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4 Quizzes

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Linear equations word problems

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Math 8th grade

Linear equations word problems

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1. Question

We can measure temperature in two different common units: degrees Celsius and degrees Fahrenheit.

The variable F represents the temperature in degrees Fahrenheit that is equivalent to C, the temperature in degrees Celsius.

F = 32 + 1.8C

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?

degrees Fahrenheit

2. Question

A charity organization is having a fundraiser.

The variable P models the fundraiser’s profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.

P = 70n − 1500

$

3. Question

A young sumo wrestler goes on a special diet to gain weight.

The variable w models the wrestler’s weight (in kilograms) after the wrestler has been on a special diet for t months.

w = 80 + 5.4t

How much weight does the wrestler gain every 2 months?

kilograms

4. Question

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet’s thickness (in meters) t weeks after the beginning of spring. s = −0.25t + 4 By how much does the ice sheet’s thickness decrease every 6 weeks?

meters

5. Question

Anumeha mows lawns. She charges an initial fee and a constant fee for each hour of work. The variable f models Anumeha’s fee (in dollars) for working t hours.

f = 6 + 12t What is Anumeha’s initial fee?

$

6. Question

Agent Hunt is transferring classified files from the CIA mainframe to his flash drive.

The variable S models the size of the files on the drive (in megabytes) after t seconds of transfer. S = 5t + 45 How many megabytes does Agent Hunt transfer every 10 seconds?

megabytes

7. Question

Harry took out a loan from the bank.

The variable D models Harry’s remaining debt (in dollars) t months after he took out the loan. D = −200t + 9000 How much does Harry pay back each month?

$

8. Question

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet’s thickness (in meters) t weeks after the beginning of spring. s = −0.25t + 4 By how much does the ice sheet’s thickness decrease every 6 weeks?

meters

9. Question

Ever since Renata moved to her new home, she’s been keeping track of the height of the tree outside her window.

The variable h models the height of the tree (in centimeters), t years since Renata moved in. h= 210 + 33t How tall was the tree when Renata moved in?

centimeters

10. Question

A charity organization is having a fundraiser.

The variable P models the fundraiser’s profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n − 1500 How much money does the charity raise by selling a single ticket?

$

The variable represents the temperature in degrees Fahrenheit that is equivalent to C, the temperature in degrees Celsius.

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of degrees Celsius?

The variable s models the ice sheet’s thickness (in meters) t weeks after the beginning of spring.

s = −0.25t + 4

By how much does the ice sheet’s thickness decrease every weeks?

Anumeha mows lawns. She charges an initial fee and a constant fee for each hour of work.

The variable f models Anumeha’s fee (in dollars) for working t hours.

f = 6 + 12t

What is Anumeha’s initial fee?

The variable models the size of the files on the drive (in megabytes) after t seconds of transfer.

S = 5t + 45

How many megabytes does Agent Hunt transfer every 10 seconds?

The variable D models Harry’s remaining debt (in dollars) t months after he took out the loan.

D = −200t + 9000

How much does Harry pay back each month?

The variable s models the ice sheet’s thickness (in meters) t weeks after the beginning of spring.

s = −0.25t + 4

By how much does the ice sheet’s thickness decrease every 6 weeks?

The variable h models the height of the tree (in centimeters), t years since Renata moved in.

h= 210 + 33t

How tall was the tree when Renata moved in?

The variable P models the fundraiser’s profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.

P = 70n − 1500

How much money does the charity raise by selling a single ticket?