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8th Grade Math Problems with Answers
Mathematics is a fundamental subject that plays a crucial role in shaping a student’s analytical and problem-solving skills. In 8th grade, students are introduced to more complex mathematical concepts that require critical thinking and logical reasoning. To help students practice and enhance their math skills, here are some challenging 8th-grade math problems with answers.
Problem 1: Solving Equations
One of the key topics in 8th-grade math is solving equations. Here’s a sample problem:
Problem: Solve for x: 3x + 5 = 17
Solution:
- Subtract 5 from both sides: 3x = 12
- Divide by 3: x = 4
Therefore, the solution to the equation 3x + 5 = 17 is x = 4.
Problem 2: Geometry
Geometry is another important topic in 8th-grade math. Here’s a geometry problem to test your skills:
Problem: Find the area of a rectangle with length 6 cm and width 4 cm.
Solution:
- Area of a rectangle = length x width
- Area = 6 cm x 4 cm = 24 cm2
Therefore, the area of the rectangle is 24 square centimeters.
Problem 3: Percentages
Understanding percentages is essential in real-life applications.
. Here’s a percentage problem to solve:
Problem: If a shirt originally costs $40 and is on sale for 20% off, what is the sale price?
Solution:
- 20% of $40 = 0.20 x $40 = $8
- Sale price = $40 – $8 = $32
Therefore, the sale price of the shirt is $32.
Problem 4: Word Problems
Word problems help students apply mathematical concepts to real-world scenarios. Here’s a word problem to solve:
Problem: A car travels at an average speed of 60 miles per hour. How far will it travel in 3 hours?
Solution:
- Distance = speed x time
- Distance = 60 mph x 3 hours = 180 miles
Therefore, the car will travel 180 miles in 3 hours.
Problem 5: Algebraic Expressions
Algebraic expressions involve variables and constants. Here’s a problem to test your algebraic skills:
Problem: Simplify the expression: 2x + 3y – x + 5y
Solution:
- Combine like terms: 2x – x + 3y + 5y = x + 8y
Therefore, the simplified expression is x + 8y.
Conclusion
8th-grade math problems cover a wide range of topics, from algebra to geometry to percentages. By practicing these challenging problems, students can strengthen their math skills and improve their problem-solving abilities. Remember to approach each problem methodically, break it down into smaller steps, and check your work for accuracy. With dedication and practice, you can excel in 8th-grade math and beyond.
For more math problems and resources, check out Mathway for step-by-step solutions and explanations.
