MODELING ALGEBRAIC EXPRESSIONS WORKSHEETS

Questions 1-4 : Use a bar model to represent the following expressions.

Question 1 :

7 + x

Question 2 :

z/3

Question 3 :

t - 2

Question 4 :

4y

Question 5 :

Katrina and Andrew started the day with the same amount of money. Katrina spent 5 dollars on lunch. Andrew spent 3 dollars on lunch and 2 dollars on a snack after school. Do Katrina and Andrew have the same amount of money left ?

Question 6 :

On a math quiz, Tina scored 3 points more than Julia. Juan scored 2 points more than Julia and earned 2 points in extra credit. Write an expression and draw a bar model to represent Tina’s score and Juan’s score. Did Tina and Juan make the same grade on the quiz ? Explain.

1. Answer :

7 + x

2. Answer :

z/3

3. Answer :

t - 2

4. Answer :

4y

5. Answer :

Let x be the money that Katrina and Andrew had at the beginning. 

Step 1 :

Write an algebraic expression to represent the money Katrina has left.

x - 5

Represent the expression with a model.

Step 2 :

Write an algebraic expression to represent the money Andrew has left.

x - 3 - 2

Represent the expression with a model.

Step 3 :

Compare the models.

The models are equivalent, so the expressions are equivalent.

Andrew and Katrina have the same amount of money left.

6. Answer :

Let y be the points scored by Julia. 

Step 1 :

Write an algebraic expression to represent the points scored by Tina.

y + 3

Represent the expression with a model.

Step 2 :

Write an algebraic expression to represent the points scored by Juan.

y + 2 + 2

Represent the expression with a model.

Step 3 :

Compare the models.

The models are not equivalent, so the expressions are not equivalent.

Hence, Tina and Juan did not make the same grade on the quiz.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Digital SAT Math Problems and Solutions (Part - 76)

    Nov 30, 24 07:08 AM

    digitalsatmath63.png
    Digital SAT Math Problems and Solutions (Part - 76)

    Read More

  2. SAT Math Resources (Videos, Concepts, Worksheets and More)

    Nov 30, 24 07:03 AM

    SAT Math Resources (Videos, Concepts, Worksheets and More)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 79)

    Nov 30, 24 06:47 AM

    digitalsatmath66.png
    Digital SAT Math Problems and Solutions (Part - 79)

    Read More