Expressions and Equations Review

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

How do you find the price of one item when given the total cost and quantity?

Back

Divide the total cost by the quantity of items. For example, if the total cost is $125 for 5 items, the price per item is $125 ÷ 5 = $25.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

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 (addition, subtraction, multiplication, division).

Front

What does it mean to prepay for a service?

Back

Prepaying means paying for a service in advance, often covering a specific period of usage.

Front

If Mark's brother is 5 years older than him and their combined ages are 23, how can you express Mark's age algebraically?

Back

Let Mark's age be x. Then his brother's age is x + 5. The equation is x + (x + 5) = 23.

Front

What is the first step in solving the equation 6x - 8 = 0?

Back

Add 8 to both sides to isolate the term with the variable: 6x = 8.

Front

How do you calculate the cost per square foot of flooring?

Back

Divide the total cost by the total square footage. For example, if 60 square feet cost $287, the cost per square foot is $287 ÷ 60.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides have the same value.