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

2 Topics
|
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

Quiz 79 of 107

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Pythagorean theorem word problems

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Math 8th grade

Pythagorean theorem word problems

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1. Question

Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.

What is the distance from Hawick to Kelso?

Round your answer to the nearest tenth of a kilometer.

kilometers

2. Question

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform.

How long is the zip line?

meters

3. Question

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long.

What is the horizontal distance from the end of the ramp to the back of the truck?Round your answer to the nearest tenth of a centimeter.

centimeters

4. Question

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.

How many kilometers east did Santos walk?Round your answer to the nearest tenth of a km.

km

5. Question

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.

How many meters of fencing will Steve need?

meters

6. Question

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

What is the diagonal distance across the plaza?Round your answer to the nearest tenth of a meter.

meters

7. Question

Meg lives in Indianapolis and wants to visit her mom in Lima.

How many more kilometers would Meg drive if she drove to Lima through Dayton?

kilometers

8. Question

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

How far did the player run?Round your answer to the nearest meter.

meters

9. Question

Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2 meters away from the base of the tree.

How high into the tree will the ladder reach?Round your answer to the nearest tenth of a meter.

meters

10. Question

Peter is making an “X marks the spot” flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the “X” by stretching red ribbon diagonally from corner to corner.

How many centimeters of ribbon will Peter need to make the “X”?Round your answer to the nearest centimeter.

centimeters

Hawick is kilometers south of Abbotsford, and Kelso is kilometers east of Abbotsford.

A zip line starts on a platform that is meters above the ground. The anchor for the zip line is horizontal meters from the base of the platform.

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is centimeters tall and the ramp is centimeters long.

What is the horizontal distance from the end of the ramp to the back of the truck?

Round your answer to the nearest tenth of a centimeter.

Santos walks kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.

How many kilometers east did Santos walk?

Round your answer to the nearest tenth of a km.

Steve is turning half of his backyard into a chicken pen. His backyard is a meter by meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is meters.

What is the diagonal distance across the plaza?

Round your answer to the nearest tenth of a meter.

A rectangular football field is meters wide and meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

How far did the player run?

Round your answer to the nearest meter.

Kali has a meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder meters away from the base of the tree.

How high into the tree will the ladder reach?

Round your answer to the nearest tenth of a meter.

Peter is making an “X marks the spot” flag for a treasure hunt. The flag is made of a square white flag with sides of centimeters. He will make the “X” by stretching red ribbon diagonally from corner to corner.

How many centimeters of ribbon will Peter need to make the “X”?

Round your answer to the nearest centimeter.