Basic Algebra Equations

Front

What is the first step to solve the equation \( \frac{x}{4} - 2 = 6 \)?

Back

Add 2 to both sides of the equation to isolate the term with x.

Front

How do you isolate x in the equation \( x + 4 = 10 \)?

Back

Subtract 4 from both sides of the equation.

Front

What does it mean to solve for x in the equation \( \frac{2}{3}x = 10 \)?

Back

It means to find the value of x that makes the equation true.

Front

What is the solution to the equation \( \frac{x}{3} = 6 \)?

Back

Multiply both sides by 3 to isolate x, resulting in \( x = 18 \).

Front

What is the first step to solve the equation \( 8(5x + 6) + 3x = 5 \)?

Back

Distribute 8 to both terms inside the parentheses.

Front

What is the definition of a variable in algebra?

Back

A symbol, often a letter, that represents an unknown value.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that satisfies the equation.

Front

What does it mean to 'solve' an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What is the process of checking your solution in an equation?

Back

Substituting the solution back into the original equation to verify it holds true.

Front

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

Back

It indicates that the expressions on both sides have the same value.