Learn on PengiReveal Math, Course 1Module 5: Numerical and Algebraic Expressions

5-4 Evaluate Algebraic Expressions

In Lesson 5-4 of Module 5 in Reveal Math Course 1, Grade 6 students learn how to evaluate algebraic expressions by substituting given values for variables and simplifying using the order of operations. The lesson covers one-step and multi-step expressions involving fractions, exponents, and multiple variables, including real-world applications such as finding the area of a trapezoid using the formula one-half a times the quantity b plus c.

Section 1

Introduction to Algebraic Expressions

Property

An algebraic expression is the same as an arithmetic expression, except that some of the entries are letters representing numbers.

These symbols are called variables and represent an unknown quantity.

To evaluate an algebraic expression, substitute specific values for the variables and perform the arithmetic operations according to the order of operations.

Section 2

Simultaneous Multi-Variable Substitution

Property

When evaluating expressions with multiple variables, substitute all given variable values simultaneously before applying order of operations: For expression f(x,y,z)f(x,y,z) with given values x=ax = a, y=by = b, z=cz = c, replace all variables at once to get f(a,b,c)f(a,b,c).

Examples

Book overview

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Module 5: Numerical and Algebraic Expressions

  1. Lesson 1

    5-1 Powers and Exponents

  2. Lesson 2

    5-2 Numerical Expressions

  3. Lesson 3

    5-3 Write Algebraic Expressions

  4. Lesson 4Current

    5-4 Evaluate Algebraic Expressions

  5. Lesson 5

    5-5 Factors and Multiples

  6. Lesson 6

    5-6 Use the Distributive Property

  7. Lesson 7

    5-7 Equivalent Algebraic Expressions

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Introduction to Algebraic Expressions

Property

An algebraic expression is the same as an arithmetic expression, except that some of the entries are letters representing numbers.

These symbols are called variables and represent an unknown quantity.

To evaluate an algebraic expression, substitute specific values for the variables and perform the arithmetic operations according to the order of operations.

Section 2

Simultaneous Multi-Variable Substitution

Property

When evaluating expressions with multiple variables, substitute all given variable values simultaneously before applying order of operations: For expression f(x,y,z)f(x,y,z) with given values x=ax = a, y=by = b, z=cz = c, replace all variables at once to get f(a,b,c)f(a,b,c).

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Module 5: Numerical and Algebraic Expressions

  1. Lesson 1

    5-1 Powers and Exponents

  2. Lesson 2

    5-2 Numerical Expressions

  3. Lesson 3

    5-3 Write Algebraic Expressions

  4. Lesson 4Current

    5-4 Evaluate Algebraic Expressions

  5. Lesson 5

    5-5 Factors and Multiples

  6. Lesson 6

    5-6 Use the Distributive Property

  7. Lesson 7

    5-7 Equivalent Algebraic Expressions