62.3 - Study Guide

Front

What does it mean to simplify an expression by combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3c + 8 - 2c - 4, you combine 3c and -2c to get c, and combine 8 and -4 to get +4, resulting in c + 4.

Front

How do you express '13 subtracted from t' in algebraic form?

Back

The expression is written as t - 13.

Front

Back

Front

How do you express 'the difference of three and a number' in algebraic form?

Back

The expression is written as 3 - x.

Front

How do you evaluate the expression 4(x - 2) + 2y when x = 5 and y = 3?

Back

Substituting x = 5 and y = 3 gives 4(5 - 2) + 2(3) = 4(3) + 6 = 12 + 6 = 18.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

What does it mean to evaluate an expression?

Back

Evaluating an expression means substituting the values of the variables into the expression and performing the arithmetic operations to find a numerical result.

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, indicated by an equality sign.

Front

How do you represent 'the sum of a number and five' in algebraic form?

Back

The expression is written as x + 5, where x represents the unknown number.