Math 6/7 Unit 4 test 1 Review

Front

What is the formula to calculate the price per gallon of gas?

Back

Price per gallon = Total cost / Number of gallons.

Front

If 5 hot dogs are needed for 3 people, how do you find the number of hot dogs needed for a different number of people?

Back

Use a ratio: (5 hot dogs / 3 people) = (x hot dogs / 9 people). Solve for x.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you solve a proportion?

Back

Cross-multiply the two ratios and set them equal to each other, then solve for the unknown.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities.

Front

Calculate the price per gallon if it costs $46.80 to fill a 13-gallon tank.

Back

Price per gallon = $46.80 / 13 = $3.60.

Front

If 50 boxes of toothpicks cost $45, what is the cost of 1 box?

Back

Cost of 1 box = $45 / 50 = $0.90.

Front

How do you find the cost of 20 boxes if you know the cost of 50 boxes?

Back

Use a ratio: (Cost of 50 boxes / 50) * 20 = Cost of 20 boxes.

Front

What is the first step in solving a problem that involves scaling ratios?

Back

Identify the ratio and determine the scale factor needed to adjust the quantities.

Front

If 5 out of 15 is equivalent to 20 out of 60, how do you verify this?

Back

Cross-multiply: 5 * 60 = 300 and 15 * 20 = 300. Since both products are equal, they are proportional.