Understanding One-Step Linear Equations

The video tutorial explains how to solve one-step linear equations using integers. It begins with an introduction to the concept and then provides two examples. The first example involves solving an equation with a negative coefficient by dividing both sides by the negative number. The second example demonstrates solving an equation with a negative fraction by multiplying both sides by the negative denominator. The tutorial emphasizes the importance of performing inverse operations to isolate the variable and solve the equation.

What is the primary goal when solving a one-step linear equation?

• To simplify the equation to zero

• To make both sides of the equation equal

• To eliminate all numbers

• To find the value of the variable

Tags

CCSS.HSA.REI.A.1

In the equation -6x = 36, what operation should be performed to isolate x?

• Divide both sides by -6

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

Tags

CCSS.HSA.REI.A.1

Why is it incorrect to add 6 to both sides in the equation -6x = 36?

• Because 6 is a negative number

• Because adding 6 would not change the equation

• Because the 6 is attached to x by multiplication

• Because 6 is not a factor of 36

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CCSS.6.EE.B.7

What is the solution to the equation -6x = 36?

• x = -36

• x = 36

• x = -6

• x = 6

Tags

CCSS.6.EE.B.7

In the equation -x/3 = -8, what is the first step to simplify the equation?

• Subtract 3 from both sides

• Include the negative sign in the numerator or denominator

• Add 3 to both sides

• Multiply both sides by 3

Tags

CCSS.6.EE.B.7

What operation is used to isolate x in the equation x/(-3) = -8?

• Subtract 3 from both sides

• Divide both sides by -3

• Multiply both sides by -3

• Add 3 to both sides

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of multiplying two negative numbers?

• A negative number

• A positive number

• The same negative number

• Zero

Tags

CCSS.6.EE.B.7

What is the solution to the equation -x/3 = -8?

• x = -24

• x = 24

• x = -8

• x = 8

Tags

CCSS.HSA.REI.A.1

What is the opposite operation of division?

• Exponentiation

• Addition

• Subtraction

• Multiplication

Tags

CCSS.6.EE.B.7

Why is it important to perform the same operation on both sides of an equation?

• To change the equation's solution

• To eliminate the variable

• To make the equation more complex

• To keep the equation balanced

Tags

CCSS.6.EE.B.7