Algebra can be a challenging subject for many students, but with practice and understanding of key concepts, it can become easier to grasp. Grade 8 is a crucial time for students to build a strong foundation in algebra, as it sets the stage for more complex math concepts in the future.
Word problems are a great way to apply algebraic concepts to real-world situations, helping students understand how math can be used in everyday life. This worksheet answer key for Grade 8 Word Problem Set 1 will help students check their work and understand the steps needed to solve each problem.
Algebra Grade 8 Word Problem Set 1 Worksheet Answer Key
Answer Key:
1. Let x be the number of apples and y be the number of oranges. The total cost is given by the equation 0.5x + 0.8y = 4.2. Substitute y = 6 – x into the equation and solve for x. The cost per apple is $0.50 and the cost per orange is $0.80.
2. Let x be the first number and y be the second number. The sum of the numbers is 63, so x + y = 63. The difference between the numbers is 27, so x – y = 27. Solve these two equations simultaneously to find the numbers.
3. Let x be the first number and y be the second number. The total of the numbers is 84, so x + y = 84. The second number is 18 more than the first number, so y = x + 18. Substitute y = x + 18 into the first equation and solve for x.
4. Let x be the number of adults and y be the number of children. The total number of people is 240, so x + y = 240. The total cost is $600, so 10x + 5y = 600. Solve these two equations simultaneously to find the number of adults and children.
5. Let x be the number of students and y be the number of teachers. The total number of people is 75, so x + y = 75. The total number of legs is 156, so 2x + 4y = 156. Solve these two equations simultaneously to find the number of students and teachers.
Algebra Grade 8 Word Problem Set 1 Worksheet Answer Key provides students with the opportunity to practice their algebra skills and apply them to real-world scenarios. By understanding the steps needed to solve each problem, students can build confidence in their math abilities and excel in their studies.