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Understanding Mathematical Expressions

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Understanding Mathematical Expressions

Mathematical expressions and variables illustration

📚 Part 1: Multiple Choice

1. Which expression represents "5 more than a number n"?

5n

n + 5

n - 5

5 - n

2. In the expression 3x + 7, what is the coefficient?

x

3

7

3x

3. What is the value of the expression 2y + 8 when y = 4?

12

16

14

10

4. In the expression 6m ÷ 2, which term describes the entire expression?

Product

Sum

Quotient

Factor

✏️ Part 2: Fill in the Blanks

5. Complete the sentences using the word bank below:

Word Bank: sum, product, factor, term, coefficient, quotient

a) In the expression 4x + 9, the number 4 is called the ______________.

b) The expression 5 + 3y is called a ______________ because it shows addition.

c) In 8 × z, the number 8 is a ______________ of the product.

d) Each part of an expression separated by + or - is called a ______________.

6. Write an expression for each situation:

a) "7 times a number k": ______________

b) "A number w decreased by 12": ______________

c) "The quotient of a number p and 5": ______________

🔍 Part 3: Short Answer

7. Look at the expression: 3a + 2b - 5

a) How many terms does this expression have? __________

b) What is the coefficient of a? __________

c) What is the coefficient of b? __________

8. Evaluate the expression 15 - 2x when x = 3. Show your work:
9. Write an expression that represents the total cost of buying 3 notebooks for $n each and 2 pens for $p each.
10. Explain the difference between a coefficient and a factor using the expression 6xy.
11. Sarah says that in the expression 4m + 7, there are 3 terms. Is she correct? Explain your reasoning.

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