Mathematics Grade 8 15 min

Add, subtract, multiply, and divide fractions and mixed numbers: word problems

Add, subtract, multiply, and divide fractions and mixed numbers: word problems

What you'll learn

  • Solve quadratic equations in the form ax² + c = 0 with integer coefficients by isolating x² and applying the square root property, demonstrating proficiency by correctly solving at least 4 out of 5 problems.
  • Identify quadratic equations that can be solved using the square root property versus other methods (factoring, quadratic formula) with 80% accuracy based on the equation's form.
  • Explain the relationship between the square root property and the solutions of a quadratic equation, including the concept of both positive and negative roots, in a written explanation that demonstrates accurate understanding according to a rubric.
  • Apply the square root property to solve real-world problems modeled by quadratic equations in the form ax² + c = 0, such as finding the radius of a circle given its area, and correctly interpret the solutions within the context of the problem.

Tutorial Preview

1

A recipe needs 1/2 cup of sugar. If you make 3 batches, how much sugar do you need?

2

You have 3/4 of a pizza to share equally among 3 friends. What fraction of the whole pizza does each friend get?

3

A board is 4 1/4 feet long. You cut off a piece that is 1 3/4 feet long. How much is left?

Sample Practice Questions

Easy
A cookie recipe calls for 1/3 cup of chocolate chips. If you make 2 batches, how many cups do you need?
0.1/6
1.2/3
2.1 1/3
3.2
Easy
Leo has 1/2 of a candy bar. He splits it evenly with his sister. What fraction of the bar does each get?
0.1/4
1.1
2.1/2
3.2
Easy
A plant grew 2 1/2 inches one week and 1 1/2 inches the next. How much did it grow in total?
0.3 in
1.3 1/2 in
2.4 in
3.4 1/4 in

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Rational numbers

Mathematics for other grades

Frequently asked questions

What grade level is "Add, subtract, multiply, and divide fractions and mixed numbers: word problems"?

Add, subtract, multiply, and divide fractions and mixed numbers: word problems is a Grade 8 Mathematics lesson on ExcelOS.

What will I learn in Add, subtract, multiply, and divide fractions and mixed numbers: word problems?

You'll be able to: Solve quadratic equations in the form ax² + c = 0 with integer coefficients by isolating x² and applying the square root property, demonstrating proficiency by correctly solving at least 4 out of 5 problems; Identify quadratic….

Is "Add, subtract, multiply, and divide fractions and mixed numbers: word problems" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Add, subtract, multiply, and divide fractions and mixed numbers: word problems?

This lesson includes 27 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.