Solving Multi-Step Equations with Variables on Both Sides

What is the first step in solving multi-step equations with grouping symbols?

• Add or subtract constants

• Use the distributive property

• Isolate the variable

• Combine like terms

In the example, what is the result of distributing -5 to the quantity (2x + 3)?

• -10x - 15

• 10x - 15

• 10x + 15

• -10x + 15

After distributing and combining like terms on the left side, what is the coefficient of x?

• 11

• -11

• 10

• -10

What is the solution to the equation 3(8x + 12) - 15x = 2(3 - 3x)?

• x = -4

• x = 4

• x = 2

• x = -2

What should you do after finding the solution to an equation?

• Move to the next problem

• Add the solution to both sides

• Check the solution by substituting it back into the original equation

• Divide by the coefficient

What is the result of distributing 8 to the quantity (-2 + x)?

• 16 + 8x

• -16 + 8x

• 16 - 8x

• -16 - 8x

What is the solution to the equation 3/10(10 - 5x) = 31.5 - (8x + 9)?

• x = -2

• x = 2

• x = -3

• x = 3

When distributing a fraction, what operation do you perform?

• Multiply by the numerator and divide by the denominator

• Add the numerator and denominator

• Subtract the numerator from the denominator

• Multiply by the denominator and divide by the numerator

What is the solution to the equation 1/2(6x - 4) + 6x = -12(1/6x + 2)?

• x = 3

• x = -3

• x = 2

• x = -2

What is the final step in solving a multi-step equation?

• Combine like terms

• Use the distributive property

• Divide by the coefficient of the variable

• Add or subtract constants