Learn on PengiPengi Math (Grade 7)Chapter 5: Algebraic Expressions

Lesson 1: Understanding and Evaluating Expressions

In this Grade 7 lesson from Pengi Math Chapter 5, students learn to define and work with key algebraic vocabulary including variables, terms, coefficients, and constants. They practice translating verbal phrases into algebraic expressions and evaluating those expressions using substitution. The lesson also builds real-world understanding by interpreting the structure of expressions in applied contexts.

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

Evaluating Algebraic Expressions

Property

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Examples

  • To evaluate 8y58y - 5 when y=3y=-3, substitute 3-3 for yy: 8(3)5=245=298(-3) - 5 = -24 - 5 = -29.
  • To evaluate a2+5a^2 + 5 when a=4a=-4, substitute 4-4 for aa: (4)2+5=16+5=21(-4)^2 + 5 = 16 + 5 = 21.

Book overview

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Chapter 5: Algebraic Expressions

  1. Lesson 1Current

    Lesson 1: Understanding and Evaluating Expressions

  2. Lesson 2

    Lesson 2: Factoring Algebraic Expressions

  3. Lesson 3

    Lesson 3: Simplifying Expressions by Combining Like Terms

  4. Lesson 4

    Lesson 4: Expanding Expressions using the Distributive Property

  5. Lesson 5

    Lesson 5: Adding and Subtracting Linear 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

Evaluating Algebraic Expressions

Property

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Examples

  • To evaluate 8y58y - 5 when y=3y=-3, substitute 3-3 for yy: 8(3)5=245=298(-3) - 5 = -24 - 5 = -29.
  • To evaluate a2+5a^2 + 5 when a=4a=-4, substitute 4-4 for aa: (4)2+5=16+5=21(-4)^2 + 5 = 16 + 5 = 21.

Book overview

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

Continue this chapter

Chapter 5: Algebraic Expressions

  1. Lesson 1Current

    Lesson 1: Understanding and Evaluating Expressions

  2. Lesson 2

    Lesson 2: Factoring Algebraic Expressions

  3. Lesson 3

    Lesson 3: Simplifying Expressions by Combining Like Terms

  4. Lesson 4

    Lesson 4: Expanding Expressions using the Distributive Property

  5. Lesson 5

    Lesson 5: Adding and Subtracting Linear Expressions