Solving Equations with Variables on Both Sides

Why is solving equations with variables on both sides important in eighth grade?

• It is only useful for advanced mathematics.

• It is a key concept that appears on standardized tests.

• It helps in understanding basic arithmetic.

• It is not important at all.

Tags

CCSS.7.EE.B.4A

What is the first step in solving equations with variables on both sides?

• Move variables to one side.

• Draw a T through the equal sign.

• Distribute any constants.

• Combine like terms.

What should you do after distributing constants in an equation?

• Move variables to one side.

• Check your work.

• Combine like terms on each side.

• Draw a T through the equal sign.

Tags

CCSS.8.EE.C.7B

In the equation 8(2x - 6) + 3x = 2 + 14x, what is the result after distributing the 8?

• 8x - 48 + 3x

• 8x - 6 + 3x

• 16x - 6 + 3x

• 16x - 48 + 3x

After combining like terms in the equation 8(2x - 6) + 3x = 2 + 14x, what is the simplified form?

• 16x - 6 = 2 + 14x

• 16x - 48 = 2 + 14x

• 19x - 48 = 2 + 14x

• 19x - 6 = 2 + 14x

In the equation 5x - 2 = 8x + 4, what is the first step to isolate the variable?

• Add 4 to both sides.

• Add 2 to both sides.

• Subtract 5x from both sides.

• Subtract 8x from both sides.

What is the result after moving the variable terms in the equation 5x - 2 = 8x + 4?

• 5x = 8x + 4

• -2 = 3x + 4

• 5x - 2 = 4

• -2 = 8x - 5x

In the equation 2y + 10 = 3 - 3y + 6, what is the first step to simplify the constants?

• Combine 3 and 6 on the right side.

• Subtract 10 from both sides.

• Move 2y to the right side.

• Add 3y to both sides.

After combining like terms in the equation 2y + 10 = 3 - 3y + 6, what is the simplified form?

• 2y + 10 = 3 + 3y

• 2y + 10 = 9 + 3y

• 2y + 10 = 3 - 3y

• 2y + 10 = 9 - 3y

What is the final value of y in the equation 2y + 10 = 3 - 3y + 6?

• y = 2

• y = -1

• y = 1

• y = -2