Solving for x

What is the purpose of combining like terms in an equation?

• To make the equation more complex and difficult to solve.

• To simplify the equation and make it easier to solve.

• To add more variables to the equation.

• To change the equation into a different form.

What does it mean to 'solve for x'?

• To find the value of x that makes the equation true.

• To guess the value of x without any calculations.

• To eliminate x from the equation entirely.

• To find the maximum value of x in a given range.

What is the value of x in the equation 3x + 2 = 5?

• 0

• 1

• 2

• 3

Solve the equation 8(x − 6) = −(x + 3).

• 3

• 4

• 5

• 6

What is the solution to the equation 4(x + 2) = 20?

• x = 1

• x = 2

• x = 3

• x = 4

Solve for x in the equation 3 + 4x + 5x = 21.

• x = 1

• x = 2

• x = 3

• x = 4

How do you check if your solution for x is correct?

• Substitute the value of x back into the original equation.

• Multiply the value of x by 2 and check if it equals the original equation.

• Add 5 to the value of x and see if it satisfies the equation.

• Graph the equation and see if the point lies on the curve.

What is a linear equation?

• An equation that makes a straight line when graphed, typically in the form y = mx + b.

• An equation that represents a curve on a graph.

• An equation that has no solutions.

• An equation that can only be solved using calculus.

What does it mean to isolate a variable?

• To manipulate an equation so that the variable is on one side and all other terms are on the other side.

• To combine like terms in an equation to simplify it.

• To substitute a variable with a constant value in an equation.

• To rearrange an equation so that all terms are on one side.

What is the first step in solving the equation 2x + 3 = 11?

• Subtract 3 from both sides to isolate the term with x.

• Add 3 to both sides to isolate the term with x.

• Multiply both sides by 2 to eliminate the coefficient of x.

• Divide both sides by 2 to simplify the equation.