Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations. For example, 3x + 5 is an algebraic expression.

Front

What does the term 'coefficient' mean?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 7x, 7 is the coefficient.

Front

How do you represent the total earnings of Carla and her sisters if each earns 9 dollars?

Back

The expression is 9x, where x is the number of sisters.

Front

What does 'less than' indicate in algebra?

Back

'Less than' indicates subtraction. For example, 'x less than 5' means 5 - x.

Front

Identify the number of terms in the expression: 5^2 + 7n - 2f.

Back

There are 3 terms in the expression: 5^2, 7n, and -2f.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 3x + 2, x is the variable.

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.

Front

What does the term 'term' mean in algebra?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together.

Front

How do you simplify the expression 3(2 + 7) - 10?

Back

First, calculate inside the parentheses: 3(9) - 10 = 27 - 10 = 17.

Front

What is the value of the coefficient in the expression 7c + 8?

Back

The coefficient is 7, which is the factor of the variable c.