 Grade 6 Math: Algebraic Expressions, Part 2

Evaluating Expressions: One Operation

In prior lessons, students learned to write algebraic expressions. In this lesson they will extend their knowledge of expressions by learning to evaluate them

To evaluate an expression, you carry out the operations in the expression, using the value specified for the unknown variable.

In the problems in this lesson, the student is given an expression consisting of one operation and a value for the variable. The student must then evaluate the expression for that value of the variable and enter the result.

Evaluating Expressions: Order of Operations with Multiple Operations

In the prior lesson, students learned to evaluate an expression for a specified value of the unknown when the expression consisted of a single operation.

In this lesson, they will extend their knowledge of how to evaluate expressions by learning to evaluate expressions containing more than one operation.

When an expression contains more than one operation the expression must be evaluated in a specified order. In this lesson students learn the correct order of operations. The correct order, when addition, subtraction, multiplication and division are the operations, is to complete the multiplication and division operations first, then the addition and subtraction operations. If there are more than one multiplication and/or division operations, they should be done from left to right. When there are more than one addition and/or subtraction operations, they should also be done from left to right.

In the problems in this lesson, students are given expressions with multiple operations of addition, subtraction, multiplication and/or division. They are given a value for the unknown variable and must evaluate the expression for that value.

Evaluating Expressions: Order of Operations with Parentheses

In prior lessons, students have learned to evaluate algebraic expressions for a given value of the unknown when there are multiple operations of addition, subtraction, multiplication and/or division.

In this lesson they extend their knowledge of how to evaluate expressions and the proper order for this evaluation by learning to evaluate expressions that included embedded expressions enclosed in parentheses.

In expressions such as these the expression inside the parentheses must be evaluated first, before any of the other operations. Then, the remaining operations are performed in the order presented in the last lesson.

In the problems in this lesson, students are given expressions with multiple operations of addition, subtraction, multiplication and/or division, and an expression embedded and enclosed in parentheses. They are given a value for the unknown variable and must evaluate the expression for that value.

Evaluating Expressions: Multiple Variables

In prior lessons, students learned to evaluate expressions that include a single variable.

In this lesson, they will extend their knowledge of how to evaluate expressions by learning to evaluate expressions containing more than one variable.

To evaluate these expressions, students must substitute the values given for each variable, then evaluate the resulting expression using the process learned in prior lessons.

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