Equations and Word Problems

Front

What does it mean when an equation is solved?

Back

An equation is solved when the variable (x) is by itself on one side of the equal sign.

Front

If Emma scored 15 goals and scored 1 more than twice the number of Nick's goals, what equation represents this situation?

Back

2x + 1 = 15, where x is the number of Nick's goals.

Front

Joey and his friends paid $11.13 each for a meal. What equation can be used to find the total bill (d)?

Back

d/5 = $11.13, since there are 5 people.

Front

Kamauri has $27.10 after buying a salad for $5.12. What equation can be used to find how much money he had before?

Back

n - $5.12 = $27.10, where n is the amount he had before.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is a variable in an equation?

Back

A variable is a symbol (usually a letter) that represents an unknown value.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What does it mean to 'balance' an equation?

Back

To keep both sides of the equation equal by performing the same operation on both sides.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words, requiring translation into an equation.

Front

How do you translate a word problem into an equation?

Back

Identify the quantities involved, define variables, and express relationships using mathematical operations.