Expressions Study Guide ADV 2024

Front

What are coefficients in an expression?

Back

Coefficients are the numerical factors in terms of an algebraic expression. For example, in the expression 14 - 2x + 12y - 5, the coefficients are -2 and 12.

Front

How do you find the total spending if Mr. Cisson spent two dollars less than Mrs. Wilber and Miss B. spent twice what Mr. Cisson spent?

Back

Let x be the amount Mrs. Wilber spent. Then Mr. Cisson spent x - 2, and Miss B. spent 2(x - 2). The total spending is x + (x - 2) + 2(x - 2) + 15 = 4x + 9.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form. For example, simplifying (2x + 5) - (x + 4) results in x + 1.

Front

How do you translate a verbal expression into an algebraic expression?

Back

To translate a verbal expression, identify keywords and their mathematical equivalents. For example, 'the quotient of x and 3 minus 7' translates to x/3 - 7.

Front

What is the multiplicative inverse of a number?

Back

The multiplicative inverse of a number is what you multiply that number by to get 1. For example, the multiplicative inverse of 2/3 is 3/2.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable. For example, 3x + 2x = 5x.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equality sign and represents a value, while an equation states that two expressions are equal.