Solving Equations and Word Problems with Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to isolate a variable?

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To isolate a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Front

How do you translate a word problem into an equation?

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Identify the key information and relationships in the problem, then express them using mathematical symbols and variables.

Front

What is the equation for Laura's carnival spending?

Back

.50x + 20 = 35

Front

What is the equation for Brianna's bouncy house rental?

Back

30 + 4h = 78