Equations and 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, or not equal to the other.

Front

What does the variable 'm' represent in the expression 10m?

Back

In the expression 10m, 'm' represents the number of lawns mowed by Frankie, and the total income is calculated by multiplying the number of lawns by the charge per lawn.

Front

How do you write an equation for total earnings?

Back

Total earnings can be represented by the equation: Earnings = Price per item × Number of items sold.

Front

What is the solution to the equation 5t = 250?

Back

To find 't', divide both sides by 5: t = 250 ÷ 5 = 50.

Front

What does 'g' represent in the equation 3g = 228?

Back

In the equation 3g = 228, 'g' represents the number of items or units that, when multiplied by 3, equals 228.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation 40h + 90 = 330?

Back

Subtract 90 from both sides to isolate the term with 'h': 40h = 330 - 90.

Front

What does the equation n + 92 = 644 represent?

Back

The equation n + 92 = 644 represents a situation where a number 'n' is increased by 92 to equal 644.

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.