Solve for x

Front

What is the process to isolate x in the equation 12 + x = 4?

Back

To isolate x, subtract 12 from both sides of the equation: x = 4 - 12, which simplifies to x = -8.

Front

How do you combine like terms in the expression x + x + t + t?

Back

Combine the coefficients of like terms: x + x becomes 2x and t + t becomes 2t, resulting in 2x + 2t.

Front

What is the value of x in the equation 46 + x = 23?

Back

To find x, subtract 46 from both sides: x = 23 - 46, which simplifies to x = -23.

Front

How do you solve for x in the equation 4x = 24?

Back

Divide both sides by 4: x = 24 / 4, which simplifies to x = 6.

Front

What is the solution for x in the equation 12 - x = -14?

Back

To solve for x, first add x to both sides and then add 14: 12 = x - 14, so x = 12 + 14, which simplifies to x = 26.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions or equations.

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined through addition or subtraction.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms and eliminating parentheses.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.