Solving Equations Word Problems

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of using tape diagrams in solving equations?

Back

Tape diagrams visually represent relationships between quantities, helping to understand and solve word problems.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 150 + y = 879?

Back

Subtract 150 from both sides to isolate y.

Front

What is the solution to the equation 3w = 30?

Back

w = 10, found by dividing both sides by 3.

Front

How can you represent a word problem as an equation?

Back

Identify the quantities involved and their relationships, then translate them into a mathematical equation.

Front

What does the equation d/5 = $11.13 represent in a word problem?

Back

It represents the total bill d being split evenly among 5 people, each paying $11.13.

Front

What is the solution to the equation q + 8.25 = 18?

Back

q = 9.75, found by subtracting 8.25 from both sides.