Thabo is x years old and Lizzie is y years old.
Write down algebraic expression for:
a. Thabo's age in 6 year's time
b. Thabo's age 6 years ago
c. Thabo's age doubled
d. Half Thabo's age
e. The sum of Thabo and Lizzie's ages
f. Lizzie's age 8 years ago
g. The sum of Thabo's and Lizzie's age in 10 year's time.
Let's use the variables x and y to represent Thabo's and Lizzie's ages, respectively.
a. Thabo's age in 6 years time:
Thabo's age will increase by 6 years, so the algebraic expression is x + 6.
b. Thabo's age 6 years ago:
Thabo's age will decrease by 6 years, so the algebraic expression is x - 6.
c. Thabo's age doubled:
Thabo's age multiplied by 2 is represented by the algebraic expression 2x.
d. Half Thabo's age:
Half of Thabo's age is represented by the algebraic expression 0.5x or (1/2)x.
e. The sum of Thabo and Lizzie's ages:
The sum of Thabo's and Lizzie's ages is represented by the algebraic expression x + y.
f. Lizzie's age 8 years ago:
Lizzie's age will decrease by 8 years, so the algebraic expression is y - 8.
g. The sum of Thabo's and Lizzie's age in 10 years time:
The sum of Thabo's and Lizzie's ages will increase by 10 years, so the algebraic expression is x + y + 10.