9 weeks STUDY GUIDE

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 4m, 4 is the coefficient.

Front

How do you solve a proportion using cross multiplication?

Back

To solve a proportion, you can cross multiply the two fractions. For example, if you have \( \frac{a}{b} = \frac{c}{d} \), then you can solve it by calculating \( a \cdot d = b \cdot c \).

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

How do you write an expression for money left after spending?

Back

If you have x dollars and spend a certain amount, say $33, the expression for the money left is: x - 33.

Front

Identify the coefficient in the expression 4m + n + 2.

Back

The coefficient in the expression is 4, which is the factor of the variable m.

Front

What is the value of b in the proportion \( \frac{b}{10} = \frac{4}{1} \)?

Back

Using cross multiplication, b = 4 * 10 = 40.

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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions and equations.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.