Refrsh: Equations with Variables on One Side

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 goal when solving equations with variables on one side?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms on the left side: 7x - 4 = 3.

Front

How do you isolate the variable in the equation 7x - 4 = 3?

Back

Add 4 to both sides to get 7x = 7, then divide by 7 to find x = 1.

Front

What is the solution to the equation 1.5(x + 7) = 11.25?

Back

x = 0.5.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 and divide by 6 to find x = 5.

Front

What is the process to solve -19 = -8(-4 + a) - (2a + 1)?

Back

Distribute and combine like terms to isolate a, resulting in a = 5.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.