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Lesson 5 (Algebraic Expressions)

Lesson 5 (Algebraic Expressions). What is an algebraic expression? What is the difference between an expression and an equation?. A math phrase that has a combination of variables, cumbers, and operations.

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Lesson 5 (Algebraic Expressions)

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  1. Lesson 5 (Algebraic Expressions) • What is an algebraic expression? • What is the difference between an expression and an equation? • A math phrase that has a combination of variables, cumbers, and operations. • An equation has an equal sign, and expression does not. You can solve an equation, you simplify an expression.

  2. Lesson 5 (Algebraic Expressions) • Vocabulary in an expression: • Example: • 5x + 8y- 10 • Constant: Quantity that stays the same. A number by itself with no variable. • Variable: Quantity that changes, represented by a letter. • Coefficient: A number that multiples a variable, the number in front of the variable.

  3. Lesson 5 (Algebraic Expressions) • What is a polynomial? • Monomial: Has one term. • Binomial: Has 2 terms. • Trinomial: Has 3 terms. • A polynomial is an expression that has addition and subtraction signs separating terms. • 8, x2, 5y, 4a/3 • 5y+8, 6x-2, 7y2 -10 • 2x2 + 5x +9 • The sign in front of the number determines if it is positive or negative.

  4. Lesson 5 (Algebraic Expressions) • Example • First, identify variables and label them. • Next, decide what operations are used. • Joe runs a car washing business. He charges $35 per car. His assistant Shawn can wash 1 more car per hour than Joe can. • Write an expression that represents the income they can earn in 6 hours.

  5. Lesson 5 (Algebraic Expressions) • Example • Jake, Barb, and Felix all have part-time jobs after school. Jake earns $5 more per week than Felix, and Barb earns twice as much per week as Jake. The combined earnings are $115 per week. • Write an equation that can be used to find how much each student earns per week.

  6. Lesson 5 (Algebraic Expressions) • Example • Jessica has been saving quarters and dimes in a jar. • Write an expression that represents the amount of money in the jar.

  7. Lesson 5 (Algebraic Expressions) • Example • The diameter of the larger of 2 circles is 4 cm greater than the diameter of the smaller circle. The smaller circle has a radius of r. • Write an expression that represents the difference between the circumferences of the larger and smaller circles.

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