4.4 Mastery Check [math7] Algebraic Expressions and Evaluations

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 4x - 3 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical value.

Front

What is the value of x in the equation 4x - 3 = 17?

Back

x = 5

Front

What is a variable in mathematics?

Back

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

Front

What is the coefficient in the expression 4x - 3?

Back

The coefficient is the numerical factor in front of a variable. In 4x, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 4x - 3, -3 is the constant.

Front

How do you solve the equation 4x - 3 = 17?

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To solve for x, first add 3 to both sides to get 4x = 20, then divide both sides by 4 to find x = 5.

Front

What is the difference between an equation and an expression?

Back

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

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

What is the first step in solving the equation 4x - 3 = 17?

Back

The first step is to add 3 to both sides of the equation.