Grade 12 Writing Expressions Worksheet

Writing Expressions

Read each statement carefully and write the corresponding algebraic expression. Simplify your expressions where possible.

1. The product of a number 'x' and 7, decreased by 5:  

2. Eight less than twice a number 'y':  

3. The quotient of a number 'z' and 3, increased by 10:  

4. The sum of a number 'a' and its square:  

5. Three times the difference of a number 'b' and 4:  

1. A taxi charges a flat fee of $3 and $2.50 per mile. Write an expression for the total cost of a taxi ride that is 'm' miles long.

2. You are buying 'p' pounds of apples at $1.75 per pound and 'b' pounds of bananas at $0.99 per pound. Write an expression for the total cost of the fruit.

3. A rectangular garden has a length that is 5 feet more than its width 'w'. Write an expression for the perimeter of the garden.

1. Which expression represents 'the square of a number 'x' decreased by 9'?

2. A car travels at a speed of 'v' miles per hour for 't' hours. Which expression represents the distance traveled?

1. The expression for 'half of a number increased by 7' is $$(x/2) + 7$$ .

2. 'Five less than a number cubed' can be written as $$(x - 5)^3$$ .

1. The area of a triangle is given by half the product of its base 'b' and height 'h'. If the base is 3 units longer than the height, write an expression for the area of the triangle in terms of 'h'.

2. A company produces 'n' units of a product. The cost of producing each unit is $15, and there is a fixed daily overhead cost of $500. The company sells each unit for $25. Write an expression for the company's daily profit.