These lessons will help Grade 6 students to learn how to convert words into algebraic expressions, how to write algebraic expressions that record all operations with numbers and letters standing for the numbers.

**Related Pages**

Writing Expressions (Lesson 16)

Algebraic Expressions

Lesson Plans And Worksheets For Grade 6

Common Core For Grade 6

More Lessons For Grade 6

Students write algebraic expressions that record all operations with numbers and letters standing for the numbers.

Underline the key math vocabulary words in each statement.

a. The sum of twice b and 5.

b. The quotient of c and d.

c. a raised to the fifth power then increased by the product of 5 and c.

d. The quantity of a plus b divided by 4.

e. 10 less than the product of 15 and c.

f. 5 times d increased by 8.

**Exercises**

Station One:

- The sum of a and b.
- Five more than twice a number c.
- Martha bought number of apples and then ate 6 of them.

Station Two:

- 14 decreased by p.
- The total of d and f, divided by 8.
- Rashod scored 6 less than 3 times as many baskets as Mike. Mike scores b baskets.

Station Three:

- The quotient of c and 6.
- Triple the sum of x and 17.
- Gabrielle has b buttons but then lost 6. Gabrielle took the remaining buttons and split them equally among her 5 friends.

Station Four:

- d doubled.
- Three more than 4 times a number x.
- Mali has c pieces of candy. She doubles the amount of candy she has then gives away 15 pieces.

Station Five:

- f cubed.
- The quantity of 4 increased by a, and then the sum is divided by 9.
- Tai earned 4 points fewer than double Oden’s points. Oden earned p points.

Station Six:

- The difference between d and 8.
- 6 less than the sum of d and 9.
- Adalyn has x pants and shirts. She combined them and sold half of them. How many items did Adalyn sell?

Write an expression using letters and/or numbers for each problem below.

- 4 less than the quantity of 8 times n.
- 6 times the sum of y and 11.
- The square of m reduced by 49.
- The quotient when the quantity of 17 plus p is divided by 8.
- Jim earned j in tips, and Steve earned s in tips. They combine their tips and then split them equally.
- Owen has c collector cards. He quadruples the number of cards he has and then combines them with Ian, who has i collector cards.
- Rae runs 4 times as many miles as Madison and Aaliyah combined. Madison runs m miles, and Aaliyah runs a miles.
- By using coupons, Mary Jo is able to decrease the retail price of her groceries, g, by $125.
- To calculate the area of a triangle, you find the product of the base and height and then divide by 2.
- The temperature today was 10 degrees colder than twice yesterday’s temperature, t.

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