Solving a linear inequality with fractions

The video tutorial covers simplifying expressions with fractions by finding the least common denominator. It explains the process of multiplying by the least common denominator to eliminate fractions and demonstrates the use of the distributive property. The tutorial also addresses solving inequalities and graphing decimals, emphasizing the importance of understanding decimal placement on a number line.

Why can't fractions with different denominators be combined directly?

• They are mixed numbers.

• They have different denominators.

• They are improper fractions.

• They have different numerators.

What is the least common denominator of 7 and 4?

• 28

• 21

• 35

• 14

What is the purpose of multiplying each term by the least common denominator?

• To simplify the numerators

• To change the numerators

• To eliminate the fractions

• To make the equation longer

What is the result of applying the distributive property to the expression 4(5x + 1) - 7(2x - 6)?

• 20x + 4 + 14x - 42

• 20x - 4 + 14x - 42

• 20x + 4 - 14x + 42

• 20x - 4 - 14x + 42

How do you handle a negative number when subtracting another negative number?

• Ignore the negative signs

• Multiply them

• Add them together

• Subtract them directly

What is the approximate decimal value of the fraction 79/3?

• 28.33

• 25.67

• 26.33

• 27.67

Where should 26.33 be placed on a number line?

• On 26

• Between 27 and 28

• On 27

• Between 26 and 27