Solving Equations Involving Fractions and Decimals

The video tutorial covers solving equations and inequalities involving fractions and decimals. It begins with an introduction to the steps for solving these problems, focusing on clearing fractions and decimals by using the least common denominator and powers of ten, respectively. The tutorial provides examples of solving equations and inequalities with fractions, including the use of the distributive property. It also demonstrates solving equations and inequalities with decimals, emphasizing the importance of clearing decimals to simplify the process. The video concludes with a reminder to note down the steps and bring them to class.

What is the first step in solving equations and inequalities with fractions?

• Divide by the greatest common factor

• Simplify the equation

• Use inverse operations

• Multiply by the least common denominator

Tags

CCSS.HSA.REI.A.2

What does multiplying by the least common denominator help achieve in solving fractions?

• It introduces new variables

• It simplifies the equation to whole numbers

• It complicates the equation further

• It eliminates the need for division

Tags

CCSS.7.EE.B.4A

What is the final step in solving the equation 3x + 9 = 36?

• Subtract 9 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 9 to both sides

Tags

CCSS.7.EE.B.4B

In the inequality 9x + 2 > 42, what operation is performed to isolate x?

• Divide both sides by 9

• Multiply both sides by 9

• Subtract 2 from both sides

• Add 2 to both sides

Tags

CCSS.7.EE.B.4A

What is the final answer for x in the equation where you first clear the fractions and then use inverse operations?

• x = -1

• x = 22

• x = 18

• x = 9

Tags

CCSS.5.NBT.A.2

What is the purpose of multiplying by a power of 10 when solving equations with decimals?

• To convert decimals into whole numbers

• To introduce new variables

• To eliminate the need for addition

• To make the equation more complex

Tags

CCSS.7.EE.B.4A

After clearing decimals in the equation 1.2x - 0.64 = -1.84, what is the next step?

• Subtract 64 from both sides

• Divide both sides by 120

• Add 64 to both sides

• Multiply both sides by 120

Tags

CCSS.6.EE.B.8

What is the result of dividing -32 by 50 in the context of solving inequalities with decimals?

• 25/16

• -16/25

• 16/25

• -25/16

Tags

CCSS.HSA.REI.A.1

When solving 2x + 57 > 93, what is the first operation performed to isolate x?

• Divide both sides by 2

• Add 57 to both sides

• Multiply both sides by 2

• Subtract 57 from both sides

Tags

CCSS.6.EE.B.8

What is the final answer for x in the inequality after clearing decimals and solving?

• x = -1

• x > 4 and 4/9

• x > 18

• x <= -16/25

Tags

CCSS.6.EE.B.8