Solving Equations with Variables on Both Sides, Fractions and Decimals

What is the FIRST step when solving an equation that involves fractions?

• ALWAYS turn fractions to decimals.

• Multiply EVERYTHING on both sides by the Least Common Denominator (LCD)

• Solve like normal, do not worry about the fractions

• You can't solve an equation if it has a fraction in it.

How do you check your solution to an equation? Choose ALL answers that apply.

• There is no way to check your answer.

• Substitute it back into the original equation and re-solve. If both sides are equal then your answer is correct.

• Substitute it back into the original equation and re-solve. If you get a different answer for each side then your answer is correct.

• Store your solution as "x" in your calculator; type in the left side of the equation and press enter; type in the right side of the equation and press enter. If the calculator shows the same value, your solution is correct.

When should you check your solution to an equation?

• ONLY if you get a negative number or decimal as your solution

• You NEVER need to check the solution

• You ALWAYS check your solution, NO MATTER WHAT

• Check your solution only if you feel unsure about your answer

Cameron earns $4 each day walking his neighbor's dog. He spends $8 purchasing treats for the dog. Jackson spends $3 each day at the local coffee shop. He has $13 saved from a birthday gift. Write an equation that can be used to determine the number of days, x, until the boys have an equal amount of money.

• 4x + 8 = 3x + 13

• 4x - 8 = 13x - 3

• 4 + 8x = -3x + 13

• 4x - 8 = - 3x +13

Cameron earns $4 each day walking his neighbor's dog. He spends $8 purchasing treats for the dog. Jackson spends $3 each day at the local coffee shop. He has $13 saved from a birthday gift. How many days until the boys have an equal amount of money?

• 21 days

• 3 days

• 5 days

• They will never have an equal amount of money

Which models the equation -5x + 4 = 7x - 8?

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Which models the solution to the equation -5x + 4 = 7x - 8?

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Solve for y: 3y + 4 = - y - 6

• y = - ⅕

• y = - ½

• y = - 5/3

• y = - 5/2

Which equation would NOT give an answer of x = 4?

• 4x - 5 = 3x - 1

• 2x + 25 = 6x + 9

• 2x + 9 = x + 5

• 3x + 9 = 4x + 5

Which equation WILL give a solution of x = 4?

• -3x = 12 + 6x

• -3x = 12 - 6x

• 3x = 12 + 6x

• 3x = 12 - 6x