Solving Equations with Decimals

The video tutorial explains how to solve the equation 2 + 6.9 * B = 29.6 using two methods. The first method involves solving the equation with decimals, while the second method clears decimals by multiplying both sides by 10. Both methods aim to isolate the variable B and find its value. The solution is verified by substituting the value back into the original equation to ensure both sides are equal.

What is the main objective when solving the equation 2 + 6.9 * B = 29.6?

• To find the value of B that makes the equation true.

• To determine the value of 6.9.

• To solve for the variable 2.

• To eliminate the decimal from the equation.

Tags

CCSS.7.EE.B.4A

In the first method, what is the first step to isolate the variable term?

• Multiply both sides by 6.9.

• Subtract 2 from both sides.

• Add 6.9 to both sides.

• Divide both sides by 2.

Tags

CCSS.HSA.REI.A.1

Why is it incorrect to subtract 6.9 from both sides of the equation?

• Because it would make the equation unsolvable.

• Because 6.9 is attached to B by multiplication.

• Because subtraction is not allowed in equations.

• Because 6.9 is a constant.

Tags

CCSS.7.EE.B.4A

After isolating 6.9B, what is the next step in the first method?

• Multiply both sides by 6.9.

• Divide both sides by 6.9.

• Add 2 to both sides.

• Subtract 6.9 from both sides.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the purpose of moving the decimal point in the division process?

• To make the divisor a whole number.

• To simplify the equation.

• To eliminate the variable.

• To increase the accuracy of the result.

Tags

CCSS.7.EE.B.4A

What is the main difference in the second method compared to the first?

• The second method involves adding decimals.

• The second method starts by eliminating decimals.

• The second method uses subtraction first.

• The second method does not solve for B.

Tags

CCSS.6.EE.B.7

How do you eliminate decimals in the second method?

• By dividing both sides by 10.

• By multiplying both sides by 10.

• By adding 10 to both sides.

• By subtracting 10 from both sides.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the result of dividing 276 by 69 in the second method?

• 3

• 6

• 5

• 4

Tags

CCSS.8.EE.C.7B

Why is it important to verify the solution by substituting back into the original equation?

• To simplify the equation further.

• To find a different solution.

• To ensure the solution satisfies the equation.

• To check for calculation errors.

Tags

CCSS.8.EE.C.7B

What does the verification process confirm about the solution?

• That the solution is incorrect.

• That the solution is correct.

• That the equation has no solution.

• That the equation needs to be solved again.

Tags

CCSS.8.EE.C.7B