Solving Equations and Operations

This video tutorial introduces solving one-step equations, focusing on the basic types. It explains what a solution to an equation is and demonstrates the addition and multiplication principles used to solve these equations. The video provides examples of solving equations using these principles, emphasizing the goal of isolating the variable. It covers both addition and multiplication principles with practical examples, including handling variables on different sides of the equation and working with fractions.

What is a solution to an equation?

• A value that is not part of the equation

• A value that makes the equation true

• A value that makes the equation false

• A value that changes the equation

Tags

CCSS.HSA.REI.A.1

What does the addition principle state?

• Subtracting the same value from both sides keeps the equation true

• Adding different values to both sides keeps the equation true

• Adding the same value to both sides keeps the equation true

• Multiplying both sides by the same value keeps the equation true

Tags

CCSS.6.NS.B.4

If you start with 5 = 5 and multiply both sides by 2, what is the result?

• 10 = 10

• 5 = 5

• 15 = 15

• 7 = 7

Tags

CCSS.6.EE.B.7

How do you isolate a variable on the right side of an equation?

• Divide both sides by the variable

• Multiply both sides by zero

• Add or subtract the same value from both sides

• Add different values to both sides

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CCSS.4.NBT.B.6

What is the opposite operation of multiplying by 5?

• Adding 5

• Subtracting 5

• Multiplying by 10

• Dividing by 5

Tags

CCSS.6.EE.B.7

How do you solve the equation 5X = 75?

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

• Add 5 to both sides

Tags

CCSS.6.EE.B.7

What is the result of dividing both sides of the equation X/4 = 8 by 4?

• X = 8

• X = 16

• X = 32

• X = 2

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is the reciprocal of 2/3?

• 3/1

• 1/2

• 2/3

• 3/2

Tags

CCSS.6.EE.B.7

How do you solve the equation 2/3Y = 16?

• Multiply both sides by 2/3

• Divide both sides by 3/2

• Multiply both sides by 3/2

• Add 3/2 to both sides

What is the simplified form of 2/6?

• 1/6

• 1/3

• 1/2

• 2/3