Mastering Two-Step Equations

This video tutorial teaches how to solve two-step equations using the properties of equality. It begins with an introduction to the components of an equation, such as terms, coefficients, and constants. The tutorial then explains the properties of equality, including addition, subtraction, multiplication, and division, and how they can be used to manipulate equations. The main focus is on solving two-step equations by isolating the variable, demonstrated through detailed examples. The video emphasizes the importance of addressing constants before coefficients to simplify the process.

What is a term in an equation?

• A number or a letter that remains unchanged.

• Any number, variable, or combination of both separated by a plus sign.

• A number in front of a variable that acts as a multiplier.

• A combination of numbers and variables separated by a minus sign.

What does a coefficient in an equation represent?

• A symbol representing an unknown value.

• The result of an equation.

• A constant value that does not change.

• A number that multiplies a variable within a term.

Which property of equality states that adding the same number to both sides of an equation keeps the equation equivalent?

• Multiplication property

• Division property

• Subtraction property

• Addition property

What is the first step in solving a two-step equation?

• Isolate the variable on one side of the equation.

• Multiply both sides by the coefficient.

• Divide both sides by the coefficient.

• Get rid of the constant term.

How do you eliminate a coefficient that is multiplying a variable?

• By subtracting the coefficient from both sides.

• By dividing both sides by the coefficient.

• By adding the coefficient to both sides.

• By multiplying both sides by the coefficient.

In the equation '2x + 4 = 10', what is the constant?

• x

• 4

• 2

• 10

What is the inverse operation of addition used in solving equations?

• None of the above

• Division

• Multiplication

• Subtraction

After solving '2x + 4 = 10', what value do we find for 'x'?

• 7

• 5

• 3

• 2

When solving 'x/3 + 1 = 15', what is the first step?

• Multiply both sides by 3.

• Add 1 to both sides.

• Divide both sides by 3.

• Subtract 1 from both sides.

What is the final value of 'x' in the equation 'x/3 + 1 = 15'?

• 14

• 5

• 45

• 48