Numeric and Algebraic Expressions

Front

What are coefficients in an algebraic expression?

Back

Coefficients are the numerical factors in terms of an algebraic expression. For example, in the expression 8x + 12y, 8 and 12 are the coefficients.

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value as another expression for all values of the variable(s). For example, 2(x + 3) is equivalent to 2x + 6.

Front

Translate: 4 more than three times the amount of c candy bars.

Back

3c + 4

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in 3x + 5x, you combine to get 8x.

Front

Evaluate when a = 15: 2(a - 5) + 2.

Back

22

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 5x, x is the variable.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

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 each term inside a parentheses.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 4x or 7.

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.