Chapter 6/7/13 Review

Front

What is the formula to calculate the percentage of a part compared to the whole?

Back

Percentage = (Part / Whole) * 100

Front

How do you isolate a variable in a linear equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone.

Front

What is a ratio and how is it expressed?

Back

A ratio is a comparison of two quantities, expressed as 'a:b' or 'a/b'.

Front

What is the first step in solving the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What does it mean to round a number to the nearest percent?

Back

Rounding to the nearest percent means adjusting the number to the closest whole number percentage.

Front

How do you solve for 'a' in the equation 9 + 2a = -3 - 4a?

Back

Combine like terms and isolate 'a' by adding 4a to both sides and then subtracting 9.

Front

What is the significance of understanding ratios in real-life applications?

Back

Ratios help compare quantities and understand relationships in various contexts, such as finance and resource allocation.

Front

What is the total cost if landscaping is 7% of it and landscaping costs $7,000?

Back

Total Cost = Landscaping Cost / Percentage = $7,000 / 0.07 = $100,000.

Front

How can you check if your solution for 'c' in 3c + 5 = 23 is correct?

Back

Substitute 'c' back into the original equation to see if both sides are equal.

Front

What is the relationship between percentages and fractions?

Back

Percentages are a specific type of fraction where the denominator is 100.