Writing 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 purpose of using equations in real-life situations?

Back

Equations help to model and solve problems by representing relationships between quantities.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step to solve the equation 2x + 11 = 23?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

Write an equation for the following situation: A store sells pencils for n dollars each, and you buy 7 pencils for a total of $24.

Back

7n = 24

Front

What is the equation to find the total cost if you rent a paddle boat for h hours at $2 per hour with a $15 deposit?

Back

Total cost = 2h + 15

Front

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

Back

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

Front

What does it mean to have a solution set in an equation?

Back

A solution set is the collection of all possible solutions that satisfy the equation.