Ratios and Rates
What does a unit rate compare?
A quantity to 1 unit of another quantity
Is ¾ greater than or less than 1?
Less than 1
What does a variable represent?
An unknown or changing value
What is the formula for the area of a rectangle?
A = l × w
What does the mean represent?
The average
Simplify the ratio 18:6.
3:1
Convert 0.25 to a fraction in simplest form.
¼
Write an expression for “5 more than twice a number.”
2x + 5
Find the area of a triangle with base 10 and height 6.
30 square units
Find the mean of: 4, 6, 8.
6
A car travels 150 miles in 3 hours. What is the unit rate?
50 miles per hour
Find: 2⅓ − 1⅚
½
Evaluate the expression: 3x + 4 when x = 6.
22
What does volume measure?
The amount of space inside a 3D object
Which measure of center is most affected by an outlier?
The mean
A recipe uses 4 cups of flour for 6 servings. How many cups per serving?
⅔ cup per serving
Which is larger: 0.375 or ⅓?
0.375
Solve: x + 7 = 19
x = 12
Find the volume of a rectangular prism with dimensions 4 × 5 × 3.
60 cubic units
What is the median of: 3, 7, 9, 10, 50?
9
Explain one way ratios are useful in real life.
Possible answers: recipes, speed, pricing, scaling, maps
Explain why multiplying by a fraction less than 1 makes a number smaller.
You are taking only part of the whole
Explain the difference between an expression and an equation.
An equation has an equals sign; an expression does not.
Why do volume units include the word “cubic”?
Because volume measures space in three dimensions.
Give one situation where the median is more useful than the mean.
Income, home prices, test scores with outliers