Grade 12 Writing Expressions Worksheet
This worksheet focuses on writing algebraic expressions from verbal descriptions and translating real-world scenarios into mathematical expressions for Grade 12 students.
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Standards
Topics
Writing Expressions
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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'?
$$2x - 9$$
$$x^2 - 9$$
$$(x - 9)^2$$
$$9 - x^2$$
2. A car travels at a speed of 'v' miles per hour for 't' hours. Which expression represents the distance traveled?
$$v + t$$
$$v - t$$
$$v \cdot t$$
$$v / t$$
1. The expression for 'half of a number increased by 7' is $$(x/2) + 7$$ .
True
False
2. 'Five less than a number cubed' can be written as $$(x - 5)^3$$ .
True
False
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.
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