Name: Date:Math 3/4 1-3 Algebraic Expressions

1-3 Algebraic Expressions

How can you use the properties of real numbers to simplify algebraic expressions?

Mathematical phrases and real-world quantities can be represented using algebraic expressions.

To model a situation with an algebraic expression do the following: Identify the actions that suggest operations. Define one or more variables to represent the unknown(s). Represent the actions using variables and operations.

To evaluate an algebraic expression, substitute a number for each variable in the expression then simplify using the order of operations.

A-SSE.A.1aA-SSE.B.3

You will utilize modeling words with an algebraic expression.

You will evaluate an algebraic expression.

You will graph real numbers as points on a number line.

You will identify the parts of an algebraic expression according to the key concepts

Read pages 18 – 21.

Key concepts:- Term: an expression that is a number, a variable, or the product of a number and one or more

variables (ex: 4, x, -3y, 2tz, 5b3)- Coefficient: the numerical factor of a term (ex: given -3y, -3 is the coefficient)- Constant term: a term with no variables (ex: 4, -3)- Like term: terms that have the same variables raised to the same power (ex: 3m3 + 5m3)

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Key Terms Summative Assessment:

1. Write three terms (one number, one variable, and one the product of one number and two different variables, label each example.

2. Given the expression 25z2, what is the coefficient?

3. Circle those values that are constant terms: 8, 7.4, 3y, -14, k, 23

4. Write an algebraic expression with three like terms, each term must have a coefficient and a variable raised to a power.

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Modeling words are used to identify actions that represent operations. For example: 5 more than x is modeled as x + 5 or y fewer than 10 is modeled as 10 – y. Note: the order of addition and multiplication does not matter but does matter for subtraction and division ( 5 – 3 does not equal 3 – 5).

Modeling Formative Assessment: Problems 10 -12 then 13 – 15 on page 22.

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Name: Date:Math 3/4 1-3 Algebraic Expressions

When evaluating an algebraic expression for a given set of value for each variable, be sure to use the order of operations to simplify the resulting numerical expression after substituting in the values for each variable.

Evaluating Algebraic Expressions Formative Assessment: Problems 16 – 19, page 22 (remember to substitute, evaluate, then simplify fully).

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Modeling and Evaluating Summative Assessment: Lesson Check problems 1 – 6, page 22

Write an algebraic expression that models each word phrase.

1. the quotient of the sum of 2 and a number b, and 3

2. the sum of the product of a number k and 4, and a number m

Evaluate each algebraic expression for x = 3 and y = -2. Show all your work.

3. 2x – 3y 4. 5x + y

5. y – x 6. x + 4y

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Expressions Learning Activity: Got It Problem 4, page 20

Note: Identify the actions that suggest operations, define variables to represent the unknowns, represent the actions using variables and operations.

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Modeling Real-world situations Formative Assessment: problems 28 and 29, page 23.

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Writing Algebraic Expressions Summative Assessment: Problems 52 and 53, page 23

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Like Terms Learning Activity: Got It Problem 5, page 21

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Like Terms Formative Assessment, problems 30 – 35, page 23

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Lesson 1-3 Summative Assessment

Write an algebraic expression that models each word phrase.

1. twelve more than the number b

2. five times the sum of 3 and the number m

Write an algebraic expression that models each situation.

3. Alexis has $250 in her savings account and deposits $20 each week for w weeks.

4. You have 30 gallons of gas and you use 5 gallons per day for d days.

Evaluate the expression for the given values of the variables.

5. −2a + 5b + 6a − 2b + a; when a = −3 and b = 2

6. Short answer

The expression 6s2 represents the surface area of a cube with edges of length s. What is the surface area of a cube when edge length is 4 centimeters?

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Name: Date:Math 3/4 1-3 Algebraic Expressions

Write an algebraic expression to model the total score in the following situation. Then evaluate the expression to find the total score.

7. In the first half of a basketball game, there were fifteen two-point shots, ten three-point shots, and five one-point free throws.Let w = the number of two-point shots, r = the number of three-point shots, and f = the number of one-point free throws. Remember: write the algebraic expression first, then evaluate and simplify.

Simplify by combining like terms.

8. 10b − b 9. 12 + 8s − 3s

10. 3a + 2b + 6a 11. 5m + 2n + 6m + 4n

12. Short Response

The expression 19.95 + 0.05x models a household’s monthly Internet charges, where x represents the number of online minutes during the month. What are the monthly charges for 128 online minutes?

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