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.
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