Solving Word Problems with Substitution

What does the word 'is' translate to in mathematical terms?

• Addition

• Equals

• Subtraction

• Multiplication

When you see the term 'more than' in a word problem, what operation should you think of?

• Division

• Multiplication

• Addition

• Subtraction

In the expression 'X is more than Y', how would you write this mathematically?

• X = 8 - Y

• X = 8 + Y

• X = Y - 8

• X = Y + 8

What should you be cautious about when dealing with subtraction in word problems?

• The operation used

• The order of terms

• The numbers used

• The variables used

What does the term 'twice' indicate in a word problem?

• Division by 2

• Addition

• Subtraction

• Multiplication by 2

What is the first step in solving word problems by substitution?

• Solving the equations

• Defining variables

• Writing the answer statement

• Setting up equations

In the example problem, what is the first equation derived from the sentence 'The sum of two numbers is 27'?

• X + Y = 27

• X / Y = 27

• X - Y = 27

• X * Y = 27

In the example problem, what is the second equation derived from the sentence 'The larger number is three more than the smaller number'?

• Y = 3X

• Y = X / 3

• Y = X + 3

• Y = X - 3

In the rectangle problem, what is the equation for the perimeter given that the perimeter is 408?

• X + Y = 408

• 2X + 2Y = 408

• X * Y = 408

• X / Y = 408

In the rectangle problem, what is the equation for the length given that the length is twice the width?

• X = 2Y

• X = Y / 2

• X = Y + 2

• X = Y - 2