Expressions and Equations

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 solve the equation a - 5 = 9?

Back

Add 5 to both sides: a = 9 + 5, so a = 14.

Front

What is the solution of 4 = x/8?

Back

Multiply both sides by 8: x = 4 * 8, so x = 32.

Front

How do you solve the equation r - 11 = 5?

Back

Add 11 to both sides: r = 5 + 11, so r = 16.

Front

What is the solution of 13 = t + 7?

Back

Subtract 7 from both sides: t = 13 - 7, so t = 6.

Front

How do you solve the equation d/5 = 10?

Back

Multiply both sides by 5: d = 10 * 5, so d = 50.

Front

What is a variable in an equation?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression or equation.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of solving equations?

Back

The purpose of solving equations is to find the value of the unknown variable that makes the equation true.