One-Step Equations with Fractions and Decimals

The video tutorial covers the use of fractions and decimals in addition and subtraction problems. It emphasizes the importance of rewriting problems to show work clearly, which is crucial for solving more complex problems in higher grades. The tutorial provides step-by-step solutions to equations involving decimals and fractions, highlighting the need for common denominators and simplification. The use of variables is explained with a creative analogy, making the learning process engaging. The video concludes with advanced problem-solving examples, reinforcing the concepts taught.

Why is it important to use fractions and decimals in addition and subtraction problems?

• Because they are easier to solve.

• Because real-life problems often involve non-whole numbers.

• Because they are more fun.

• Because they are always whole numbers.

What is the first step in solving an equation with decimals?

• Guessing the answer.

• Rewriting the problem.

• Multiplying both sides by 10.

• Ignoring the decimals.

In the equation 6.2 = 2.2 + x, what operation is needed to isolate x?

• Multiplication

• Subtraction

• Addition

• Division

When solving the equation g - 3/7 = 2/7, what is the first step?

• Dividing both sides by 3.

• Subtracting 2/7 from both sides.

• Adding 3/7 to both sides.

• Multiplying both sides by 7.

What must be the same when adding or subtracting fractions?

• The whole numbers

• The denominators

• The variables

• The numerators

In the equation k - 8 = 11.8, what is the opposite operation of -8?

• Multiplying by 8

• Adding 8

• Subtracting 8

• Dividing by 8

Why is it important to line up decimal places when adding or subtracting decimals?

• To make the problem look neat.

• To avoid using fractions.

• To ensure accurate addition or subtraction.

• To make the problem easier to read.

In the equation 1/3 + a = 5/4, what must be done before subtracting 1/3 from both sides?

• Finding a common denominator.

• Multiplying both sides by 3.

• Adding 1/3 to both sides.

• Dividing both sides by 4.

What is the simplified form of 2/4?

• 2/2

• 1/2

• 4/2

• 1/4

In the equation 3/4 = m + 1/4, what operation is needed to isolate m?

• Dividing both sides by 3.

• Multiplying both sides by 4.

• Subtracting 1/4 from both sides.

• Adding 1/4 to both sides.