7th CBA Review Fall 2024

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In blueprints, it represents the ratio of the dimensions in the drawing to the actual dimensions.

Front

How do you calculate the scale factor from a blueprint?

Back

To calculate the scale factor, divide the actual length by the length on the blueprint. For example, if the actual length is 78 feet and the blueprint length is 13 inches, the scale factor is 78 feet / 13 inches = 6 feet per inch.

Front

What is the total length of wire in feet if one roll has 12¾ feet and the other has 15½ feet?

Back

To find the total length, convert to decimals: 12¾ = 12.75 feet and 15½ = 15.5 feet. Total = 12.75 + 15.5 = 28.25 feet.

Front

How do you convert mixed numbers to decimals?

Back

To convert a mixed number to a decimal, convert the fraction to a decimal and add it to the whole number. For example, 3⅛ = 3 + 0.125 = 3.125.

Front

What is the process to solve the inequality 3x + 2 > 8?

Back

Subtract 2 from both sides: 3x > 6. Then divide by 3: x > 2.

Front

How do you determine how much gasoline is left after a certain time?

Back

To find the remaining gasoline, calculate the total gallons used by multiplying the hourly usage by the number of hours. Subtract this from the initial amount.

Front

If a generator uses 1.5 gallons of gasoline per hour, how much does it use in 8 hours?

Back

1.5 gallons/hour * 8 hours = 12 gallons used.

Front

What is the total number of cupcakes decorated if 20 cupcakes are decorated per hour for 3 hours and 30 cupcakes per hour for 2 hours?

Back

Total = (20 cupcakes/hour * 3 hours) + (30 cupcakes/hour * 2 hours) = 60 + 60 = 120 cupcakes.

Front

How do you calculate the total from a rate over time?

Back

Total = Rate * Time. For example, if the rate is 20 cupcakes/hour for 3 hours, total = 20 * 3 = 60 cupcakes.

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, or ≤.