Units 1-4 Review

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors. For example, the expression 8x - 25 cannot be factored into simpler polynomial factors.

Front

How do you subtract two algebraic expressions?

Back

To subtract two algebraic expressions, combine like terms. For example, (8x + 4) - (13x + 1) simplifies to -5x + 3.

Front

What is an improper fraction?

Back

Front

How do you multiply mixed numbers?

Back

Front

What is the formula to calculate the percentage of discount?

Back

The percentage of discount is calculated using the formula: \( \text{Discount Percentage} = \frac{\text{Original Price} - \text{Sale Price}}{\text{Original Price}} \times 100 \% \). For example, for pajamas originally priced at $20 and on sale for $12, the discount percentage is 40%.

Front

How do you find the percent of change?

Back

To find the percent of change, use the formula: \( \text{Percent of Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \% \). For example, if a concert ticket price increased from $50 to $150, the percent of change is 200%.

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 5y are not.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value (like 5 or -3).

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.