Basic Arithmetic and Word Problems

The video tutorial covers solving equations with fractions and special cases, emphasizing a method to handle fractions by finding a common denominator or distributing. It also explains solving a word problem involving the phrase 'less than', highlighting the importance of reversing terms when using 'less than'. The tutorial provides step-by-step guidance on these mathematical concepts.

What is the first step in solving an equation with variables on both sides?

• Divide both sides by a common factor

• Multiply both sides by a common factor

• Subtract the variables from both sides

• Add the variables together

When dealing with fractions, what is one method to simplify the equation?

• Multiply the fractions by zero

• Ignore the fractions

• Add the fractions directly

• Find a common denominator

In a special case where both sides of an equation are identical, what is the solution?

• Only positive numbers

• Only negative numbers

• All real numbers

• No solution

What does the word 'less than' indicate in a word problem?

• Division

• Subtraction

• Addition

• Multiplication

What is the result of multiplying 1/2 by 36?

• 18

• 72

• 36

• 9

In the phrase '15 less than twice a number', where does the 15 go?

• In the middle of the equation

• At the end of the equation

• It is not used

• In front of the equation

What is the solution to the equation 2x - 15 = x + 2?

• x = 21

• x = 19

• x = 17

• x = 15

How do you handle a negative variable in an equation?

• Add a positive variable

• Ignore it

• Multiply by zero

• Divide by negative one

What is the result of 2 times 17 minus 15?

• 17

• 21

• 19

• 15

What is the first step in solving a word problem involving 'less than'?

• Identify the numbers involved

• Write down the equation

• Reverse the order of terms

• Solve the equation