Writing Equations & Inequalities

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 is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a situation where a total amount decreases after a purchase?

Back

You can represent it with an equation like: initial amount - (cost per item × number of items) = remaining amount.

Front

If Ms. Haven had a gift card with a $400 balance and spent $21 per CD, how would you express the number of CDs she bought?

Back

The equation would be: 400 - 21d = remaining balance.

Front

What does the variable 'd' represent in the equation 400 - 21d = 232?

Back

The variable 'd' represents the number of CDs purchased.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using inverse operations.

Front

What is the first step to solve the equation 9x + 8.9 = -12.7?

Back

Subtract 8.9 from both sides to isolate the term with the variable.

Front

What does it mean if an inequality is written as 3x + 8 > 50?

Back

It means that three times the value of x plus 8 is greater than 50.

Front

How can you express a goal of collecting more than a certain number of items using an inequality?

Back

You can express it as: current amount + (number of days × items per day) > goal.

Front

In the context of the food drive, what does the inequality 762 + 4n > 1300 represent?

Back

It represents that the total number of cans collected (762) plus the number of cans collected each day for 4 days (4n) must be greater than 1300.