Repeating decimals

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

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

4 Topics
|
2 Quizzes
Equations with parentheses

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

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

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

7 Topics
|
3 Quizzes
Linear models

7 Topics
|
3 Quizzes
Comparing linear functions

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

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

9 Topics
|
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
|
1 Quiz
- Solutions of systems of equations
Solving systems with substitution

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

5 Topics
|
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
|
3 Quizzes
Triangle angles

7 Topics
|
3 Quizzes
Pythagorean theorem

3 Topics
|
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
|
3 Quizzes
Dilations

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

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

1 Topic
|
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
|
4 Quizzes

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Linear models word problems

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Math 8th grade

Linear models word problems

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1. Question

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then, he wants to fill the tank with water until it’s completely full. If he uses 50 marbles, he will have to add 33 liters of water.

What is the volume of the tank?

liters

Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?

marbles

2. Question

A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full.

How fast was the battery charged?

percent per minute

How long did it take the battery to be fully charged?

minutes

3. Question

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read.

How long is the book?

pages

How long did it take Naoya to read the entire book?

hours

4. Question

How fast did Shota climb?

meters per second

In total, how long did it take Shota to reach the edge of the volcano?

seconds

5. Question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

How tall was the tree when Vlad moved into the house?

centimeters How many years passed from the time Vlad moved in until the tree was 357 centimeters tall? years

6. Question

A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of 54 meters above the water’s surface, and it fell at a constant rate. After 35 seconds, the anchor was 9 meters below the water’s surface.

How fast did the anchor drop?

meters per second How long did it take the anchor to reach the water’s surface? seconds

7. Question

Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his remaining debt was $6900.

What was the original amount of Harry’s debt?

$

How long did it take Harry to pay back his entire debt? months

8. Question

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300 and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600.

What is the price of a kilogram of Jada’s cumin?

$

How much cumin does Jada have to sell to cover her weekly expenses?

kilograms

9. Question

How full was the drive when the transfer began?

megabytes

How long from the time that Agent Hunt started the transfer did it take the drive to be completely full?

seconds

10. Question

Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained.

How fast did Sean drink?

milliliters per second

How long did it take Sean to drink all the slushy?

seconds

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then, he wants to fill the tank with water until it’s completely full. If he uses marbles, he will have to add liters of water.

Andrei has exactly liters of water. How many marbles does he need so the tank is full?

A battery was charged. When the charging began, it was percent full. After minutes of charging, the battery was percent full.

Naoya read a book cover to cover in a single session, at a rate of pages per hour. After reading for hours, he had pages left to read.

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by centimeters each year. years after he moved into the house, the tree was centimeters tall.

centimeters

How many years passed from the time Vlad moved in until the tree was centimeters tall?

years

A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of meters above the water’s surface, and it fell at a constant rate. After seconds, the anchor was meters below the water’s surface.

meters per second

How long did it take the anchor to reach the water’s surface?

seconds

Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After months, his remaining debt was 6900.

How long did it take Harry to pay back his entire debt?

months

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are and she sells her cumin at a fixed price per kilogram. If she sells kilograms of cumin, her weekly net profit is

Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally milliliters of slushy in the cup. After seconds, milliliters of slushy remained.