Creating Equations from Word Problems
This worksheet helps Grade 10 students practice translating word problems into algebraic equations.
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Creating Equations from Word Problems
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Read each word problem carefully and translate it into a mathematical equation. You do not need to solve the equations.
1. The sum of a number and 15 is equal to 42. Let 'x' represent the number. The equation is:
2. Eight less than twice a number is 20. Let 'n' represent the number. The equation is:
3. The product of a number and 7, decreased by 5, is 30. Let 'y' represent the number. The equation is:
4. A rectangle has a length that is 5 cm more than its width. Its perimeter is 50 cm. If 'w' represents the width, which equation represents the perimeter?
w + (w + 5) = 50
2w + 5 = 50
2w + 2(w + 5) = 50
w(w + 5) = 50
5. Sarah bought 3 notebooks and 2 pens for a total of $17. Each notebook costs $4. Which equation can be used to find the cost of one pen, 'p'?
3p + 2(4) = 17
3(4) + 2p = 17
5(p + 4) = 17
p + 4 = 17
6. The sum of three consecutive integers is 72. Write an equation to represent this situation. Let the first integer be 'x'.
7. A car travels at a speed of 60 miles per hour. Write an equation that represents the distance 'd' the car travels in 't' hours.
8. The statement 'A number divided by 4 is 12' can be written as the equation x/4 = 12.
True
False
9. If 'm' represents the number of minutes, the expression '5 minutes less than twice the number of minutes' can be written as 2m - 5.
True
False
10. A farmer has a rectangular field where the length is three times the width. The total fencing needed to enclose the field is 240 meters. Write an equation to find the dimensions of the field. Let 'w' be the width.