Repeating decimals

3 Topics
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3 Quizzes
Square roots & cube roots

5 Topics
|
6 Quizzes
Irrational numbers

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

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

2 Topics
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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
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3 Quizzes
Intro to slope-intercept form

2 Topics
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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
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3 Quizzes
Linear models

7 Topics
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3 Quizzes
Comparing linear functions

6 Topics
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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
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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
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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
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3 Quizzes
Pythagorean theorem

3 Topics
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4 Quizzes
Pythagorean theorem application

4 Topics
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5 Quizzes
Pythagorean theorem and distance between points

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

4 Topics
Volume

3 Topics
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4 Quizzes
Transformations intro

3 Topics
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1 Quiz
- Identify transformations
Translations

3 Topics
|
1 Quiz
- Translate points
Rotations

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

3 Topics
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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
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3 Quizzes
Two-way tables

3 Topics
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4 Quizzes

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Systems of equations word problems

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Math 8th grade

Systems of equations word problems

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1. Question

Logan genetically engineered a new type of fir tree and a new type of pine tree.

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

How tall are the types of trees that Logan genetically engineered?

Each fir tree is meters tall and each pine tree is meters tall.

2. Question

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.

How much does a liter of milk cost, and how much does a loaf of bread cost?

A liter of milk costs $ and a loaf of bread costs

3. Question

Michael breeds chickens and ducks.

Last month, he sold 50 chicken and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.

How much does a chicken cost, and how much does a duck cost?

A chicken costs and a duck costs .

4. Question

A herd of dinosaurs made paintings in the sand with their claws.

Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made 208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.

How many baby dinosaurs and adult dinosaurs were there?

There were baby dinosaurs and adult dinosaurs.

5. Question

A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class.

How many seats are there in each class?

There are seats in economy class and seats in business class.

6. Question

The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.

On average, how much does an okapi weigh, and how much does a llama weigh?

On average, an okapi weighs kilograms and a llama weighs kilograms.

7. Question

How long did Sakura speak in Hungarian, and how long did she speak in Polish?

Sakura spoke for minutes in Hungarian and for minutes in Polish.

8. Question

Each chef at “Sushi Emperor” prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.

How many chefs and how many customers were in “Sushi Emperor” on Tuesday?

There were chefs and customers.

9. Question

Eudora ran from her home to her secret laboratory at an average speed of 12 km/h. She then took one of her jetpacks and flew to her school at an average speed of 76 km/h. Eudora traveled a total distance of 120 kilometers, and the entire trip took 2 hours.

How long did Eudora spend running, and how long did she spend flying using her jetpack?

Eudora ran for hours and flew for hours using her jetpack.

10. Question

A stone fell from the top of a cliff into the ocean.

In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone’s entire fall took 12 seconds.

How long did the stone fall in the air and how long did it fall in the water?

The stone fell in the air for seconds and fell in the water for seconds.

Bhavik bought liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.

Last month, he sold 50 chicken and 30 ducks for $550. This month, he sold

Each chef at “Sushi Emperor” prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and vegetarian roll remained uneaten.