Solving Linear Equations with Decimals

The video tutorial explains how to solve the equation 1.6x = -0.8 by isolating the variable x. It involves dividing both sides by 1.6, performing division with decimals, and verifying the solution by substitution. The process is broken down into clear steps, ensuring the solution is correct and understandable.

What is the initial equation that needs to be solved?

• 1.6x = 0.8

• 1.6x = -0.8

• x = 1.6

• x = -0.8

Tags

CCSS.6.EE.B.7

What operation is used to isolate x in the equation 1.6x = -0.8?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.HSA.REI.A.1

Why do we divide both sides of the equation by 1.6?

• To eliminate the decimal

• To isolate x by performing the inverse operation

• To change the sign of the equation

• To make the equation simpler

Tags

CCSS.5.NBT.B.7

What is the result of dividing 1.6 by 1.6?

• 1.6

• 1

• 0

• 2

Tags

CCSS.5.NBT.B.7

What is the first step in dividing decimals like 0.8 by 1.6?

• Multiply the numbers

• Add a zero to the dividend

• Move the decimal point in the divisor

• Subtract the numbers

Tags

CCSS.5.NBT.B.7

What is the quotient of 0.8 divided by 1.6?

• 0.5

• 0.8

• 2.0

• 1.5

Tags

CCSS.6.EE.B.7

What is the final value of x in the equation 1.6x = -0.8?

• 0.5

• 1.0

• -0.5

• -1.0

How do we verify the solution to the equation?

• By checking the original equation

• By using a calculator

• By substituting the value of x back into the equation

• By solving a different equation

Tags

CCSS.7.NS.A.2A

What should the product of 1.6 and -0.5 equal to verify the solution?

• 0.8

• -1.6

• -0.8

• 1.6

Tags

CCSS.8.EE.C.7B

What is the purpose of checking the solution with a calculator?

• To find a new solution

• To verify the accuracy of the solution

• To change the equation

• To simplify the equation

Tags

CCSS.8.EE.C.7B