Semester 1 Review

Front

What is the formula to calculate a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 12% of 40, calculate 40 * 0.12 = 4.8.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio of wins to losses (100:60) simplifies to 5:3.

Front

What is a quotient in mathematics?

Back

A quotient is the result of dividing one number by another. For example, the quotient of 6 divided by 10 is 0.6 or 3/5 in lowest terms.

Front

How do you calculate the original price after a discount?

Back

To find the original price, divide the sale price by (1 - discount rate). For example, if a ticket costs $6.65 after a 20% discount, the original price is $6.65 / 0.8 = $8.31.

Front

What is the solution to the equation x + 4 = 10?

Back

To solve for x, subtract 4 from both sides: x = 10 - 4, so x = 6.

Front

What does it mean to find the lowest terms of a fraction?

Back

Finding the lowest terms of a fraction means simplifying it to its smallest equivalent form by dividing the numerator and denominator by their GCD.

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. For example, 12% means 12 out of 100.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, 3/5 = 0.6 * 100 = 60%.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, a ratio of 5 to 3 can be written as the fraction 5/3.

Front

What is the process of solving an equation?

Back

Solving an equation involves finding the value of the variable that makes the equation true by isolating the variable on one side.