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Grade 10 Equation Word Problems Worksheet

This worksheet provides practice for grade 10 students in solving various equation word problems, covering linear, quadratic, and system of equations.

Grade 10 Math Math Word ProblemsEquation Word Problems
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Includes

3 Short Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

mathgrade 10word problemsequationsalgebra
5 sections · Free to use · Printable
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Grade 10 Equation Word Problems

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Read each word problem carefully and set up an equation or a system of equations to solve it. Show all your work.

1. The sum of three consecutive integers is 126. What are the integers?

2. A rectangle has a perimeter of 84 cm. If the length is 5 cm more than twice the width, find the dimensions of the rectangle.

3. The product of two consecutive positive integers is 182. Find the integers.

4. A pebble is thrown upwards from the top of a 50-meter cliff with an initial velocity of 20 m/s. The height 'h' of the pebble above the ground after 't' seconds is given by the equation h = -5t² + 20t + 50. When will the pebble hit the ground?

5. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people entered the fair, and $5050 was collected. How many children and how many adults attended?

6. A test has 20 questions worth 100 points. True/false questions are worth 3 points each and multiple-choice questions are worth 11 points each. How many true/false questions and multiple-choice questions are on the test?