Equations With Variables on Both Sides

What is a possible first step to solving the equation

4x - 3 = 2x + 1?

• Add 1 to both sides

• Add 4x to both sides

• Add 3 to both sides

• Add 2x to both sides

What is a possible first step to solving the equation

-2x + 7 = 2x - 13?

• Add 7 to both sides

• Subtract 13 from both sides

• Add 2x to both sides

• Divide both sides by -2

Esteban has $20 and he earns $4 every hour. Marcus has $60 and earns $2 every hour. After a certain amount of hours, they both have the same amount of money. Which equation represents this situation?

• 20x + 4 = 60x + 2

• 4 + 2 = 20x + 60x

• 4x + 20 = 2x + 60

• 20 - 4x = 60 - 2x

Marilynn says that the first step to solving the equation

4x - 3 = 13 is to subtract 4x from both sides. Marilynn is ....

• Correct. She is solving the equation the right way!

• Incorrect. She should subtract 3 from both sides first.

• Incorrect. She should add 3 to the left side and subtract 13 from the right side.

• Incorrect. She should add 3 to both sides first.

Tags

CCSS.HSA.REI.A.1

Mitchell thinks that to solve the equation

4y - 2 = -6y + 8 he could add 2 to both sides first. Mitchell is...

• Correct. That is a correct possible first step.

• Incorrect. He MUST subtract 8 from both sides first.

• Incorrect. He should add 2 to both sides first.

• Incorrect. He should divide both sides by -6 first.

Tags

CCSS.HSA.REI.A.1

A correct possible first step to solving the equation

-4r + 9 = 6r - 11 is...

• Add 4r to both sides.

• Subtract 11 from both sides.

• Add 6r to both sides

• Subtract 9 from both sides.

To solve the equation -4 - 3m = -8m + 6, the INCORRECT first steps would be...

• Add 4 to both sides.

• Add 6 to both sides.

• Subtract 8m to from sides.

• Subtract 6 from both sides.

• Subtract 3m from both sides.

If we saw the term -3x in an equation we could get rid of it if we needed to by...

• Dividing both sides by -3

• Adding 3x to both sides of the equation.

• Multiplying both sides by -3.

• Subtracting 3x from both sides.

Tags

CCSS.7.EE.B.4A

What does x equal in the equation

2x + 4 = -8?

• 6

• -6

• 4

• -4

Tags

CCSS.7.EE.B.4A

What is 0.000000000631 in correct scientific notation?

• $63.1\times10^{-10}$

• $6.31\times10^{-10}$

• $6.31\ \times10^{-11}$

• $6.31\times10^{10}$

• $6.31\times10^{11}$

Tags

CCSS.8.EE.A.3