Proportional Reasoning Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if 8 ounces of juice costs $1.12, the unit rate is the cost per ounce.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total cost by the total quantity. For example, for 8 ounces costing $1.12, the unit rate is $1.12 ÷ 8 = $0.14 per ounce.

Front

What does the ordered pair (3, -2.5) represent on a coordinate plane?

Back

The ordered pair (3, -2.5) represents a point located 3 units to the right of the origin and 2.5 units down on the coordinate plane.

Front

How many feet are in a mile?

Back

There are 5,280 feet in a mile.

Front

If 4.5 cups of flour makes 11 cookies, how many cups are needed for 1 cookie?

Back

To find the cups needed for 1 cookie, divide 4.5 cups by 11 cookies, which equals approximately 0.409 cups per cookie.

Front

What is the total distance in feet for 3 miles and 345 yards?

Back

To convert 3 miles to feet: 3 miles × 5,280 feet/mile = 15,840 feet. Then add 345 yards (1 yard = 3 feet, so 345 yards = 1,035 feet). Total = 15,840 + 1,035 = 16,875 feet.

Front

How do you find the total number of cookies made if you know the ratio of flour to cookies?

Back

To find the total number of cookies, set up a proportion based on the known ratio. For example, if 4.5 cups makes 11 cookies, then for 44 cookies, you can set up the equation: 4.5/11 = x/44.

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.

Front

If a recipe calls for 2 cups of sugar for 8 servings, how much sugar is needed for 20 servings?

Back

Set up a proportion: 2 cups/8 servings = x cups/20 servings. Cross-multiply and solve for x: x = (2 cups * 20 servings) / 8 servings = 5 cups.

Front

What is the formula to convert yards to feet?

Back

To convert yards to feet, multiply the number of yards by 3, since 1 yard = 3 feet.