Writing equations from Word Problems

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

Define a variable in the context of word problems.

Back

A variable is a symbol (often a letter) used to represent an unknown quantity in an equation.

Front

What does the equation 7 + 9x = 30 represent in a word problem?

Back

It represents a situation where 7 is subtracted from a total of 30, and the remaining amount is divided into 9 equal parts.

Front

How do you translate 'three more than twice the number of pants' into an equation?

Back

s = 2p + 3, where s is the number of shirts and p is the number of pants.

Front

What is the total cost equation for Mallory's pizza and soda purchase?

Back

10.95x + 12.57 = 89.22, where x is the number of pizzas.

Front

How do you express 'one piece is 26 centimeters longer than the other' in an equation?

Back

Let x be the length of the shorter piece, then the equation is x + (x + 26) = 100.

Front

What does the equation 43.73 = 12.5 + 9x represent?

Back

It represents the total cost of a notebook and 9 pens, where x is the cost of each pen.

Front

What is the purpose of writing equations from word problems?

Back

To translate real-world situations into mathematical expressions that can be solved.

Front

What is a common mistake when writing equations from word problems?

Back

Misinterpreting the relationships between quantities, such as confusing addition with subtraction.

Front

How can you check if your equation from a word problem is correct?

Back

Substitute the values back into the equation to see if both sides are equal.