writing algebraic expressions
grade 5 pre - algebra worksheet
write an expression using a variable to represent each situation.
1. eleven decreased by k
2. p increased by 9
3. sixteen multiplied by a number h
4. f less than twelve
5. sixteen less than m
6. 8 divided by e
7. the product of 6 and c
8. eighty - five less than x
9. two more than m
10. three - fourths of f

Question

Accepted Answer

### Question 1: Eleven decreased by $ k $
# Explanation:
## Step 1: Understand "decreased by"
"Decreased by" means subtraction. So we start with 11 and subtract $ k $.
$ 11 - k $
# Answer:
$ 11 - k $

### Question 2: $ p $ increased by 9
# Explanation:
## Step 1: Understand "increased by"
"Increased by" means addition. So we add 9 to $ p $.
$ p + 9 $
# Answer:
$ p + 9 $

### Question 3: Sixteen multiplied by a number $ h $
# Explanation:
## Step 1: Understand "multiplied by"
"Multiplied by" means multiplication. So we multiply 16 by $ h $.
$ 16 \times h = 16h $ (we can write the multiplication as $ 16h $ without the $ \times $ sign for simplicity)
# Answer:
$ 16h $

### Question 4: $ f $ less than twelve
# Explanation:
## Step 1: Understand "less than"
When we say " $ f $ less than twelve", it means we take twelve and subtract $ f $ from it.
$ 12 - f $
# Answer:
$ 12 - f $

### Question 5: Sixteen less than $ m $
# Explanation:
## Step 1: Understand "less than"
"Sixteen less than $ m $" means we take $ m $ and subtract 16 from it.
$ m - 16 $
# Answer:
$ m - 16 $

### Question 6: 8 divided by $ e $
# Explanation:
## Step 1: Understand "divided by"
"Divided by" means division. So we divide 8 by $ e $.
$ \frac{8}{e} $ (or $ 8 \div e $, but the fraction form is more standard for algebraic expressions)
# Answer:
$ \frac{8}{e} $

### Question 7: The product of 6 and $ c $
# Explanation:
## Step 1: Understand "product of"
"Product of" means multiplication. So we multiply 6 and $ c $.
$ 6 \times c = 6c $ (we can write the multiplication as $ 6c $ without the $ \times $ sign for simplicity)
# Answer:
$ 6c $

### Question 8: Eighty - five less than $ x $
# Explanation:
## Step 1: Understand "less than"
"Eighty - five less than $ x $" means we take $ x $ and subtract 85 from it.
$ x - 85 $
# Answer:
$ x - 85 $

### Question 9: Two more than $ m $
# Explanation:
## Step 1: Understand "more than"
"Two more than $ m $" means we add 2 to $ m $.
$ m + 2 $
# Answer:
$ m + 2 $

### Question 10: Three - fourths of $ f $
# Explanation:
## Step 1: Understand "of" in fractions
"Of" in the context of fractions means multiplication. So we multiply $ \frac{3}{4} $ by $ f $.
$ \frac{3}{4} \times f=\frac{3}{4}f $
# Answer:
$ \frac{3}{4}f $

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QUESTION IMAGE

Question

Explanation:

Question 1: Eleven decreased by \( k \)

Step 1: Understand "decreased by"

Step 1: Understand "increased by"

Step 1: Understand "multiplied by"

Answer:

Question 2: \( p \) increased by 9