Steps to Solving Equations Warm-Up

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

• To ensure the solution is the most complex one.

• To verify that the solution satisfies the original equation.

• To make the equation look more complicated.

• To find additional solutions that may not exist.

What is the distributive property in algebra?

• It states that a(b + c) = ab + ac.

• It states that a + b = b + a.

• It states that a(b - c) = ab - ac.

• It states that a(b + c) = a + b + c.

What is the next step for the equation: 1 + 18n = 33?

• Subtract 1 from both sides.

• Add 1 to both sides.

• Multiply both sides by 18.

• Divide both sides by 18.

What is the next step for the equation: 3x + 4 = 10?

• Add 4 to both sides.

• Subtract 4 from both sides.

• Multiply both sides by 3.

• Divide both sides by 4.

What does it mean to combine like terms in an equation?

• It means to add or subtract terms that have the same variable raised to the same power.

• It means to multiply terms with different variables together.

• It means to divide terms by their coefficients.

• It means to rearrange the equation to isolate a variable.

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

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

• To simplify the equation for easier calculations.

• To eliminate all other variables from the equation.

• To convert the equation into a different form.

What is the next step in solving the equation: 5x - 2 = 3?

• Add 2 to both sides.

• Subtract 2 from both sides.

• Multiply both sides by 5.

• Divide both sides by 5.

What is the first step to solve the equation: 4(x + 1) = 20?

• Distribute 4 to both x and 1.

• Add 20 to both sides of the equation.

• Subtract 1 from both sides of the equation.

• Multiply both sides by 4.

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

• Subtract 3 from both sides.

• Add 3 to both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What is the next step you should take for the equation: -11b + 8 = -3?

• Subtract 8 from both sides.

• Add 8 to both sides.

• Multiply both sides by -1.

• Divide both sides by -11.