Solving Equations with Variables on Both Sides

What is the first step in solving equations with variables on both sides?

• Move all constants to one side

• Combine like terms

• Move variables to the same side

• Isolate the variable immediately

Tags

CCSS.7.EE.B.4A

Why is it preferred to move the smaller variable in these equations?

• To minimize the number of steps

• To avoid dealing with fractions

• To reduce the occurrence of negative numbers

• Because it's easier to calculate

Tags

CCSS.HSA.REI.A.1

In the first example, what operation is performed to eliminate 2x?

• Division

• Subtraction

• Addition

• Multiplication

Tags

CCSS.7.EE.B.4A

What is the solution for x in the second example?

• x = 2

• x = 5

• x = 4

• x = 3

Tags

CCSS.6.EE.B.7

How do you handle a negative variable, as seen in the third example?

• By multiplying the variable

• By dividing the variable

• By adding the opposite variable

• By subtracting the variable

Tags

CCSS.8.EE.C.7B

What is the final value of x in the fourth example?

• -14

• 14

• -15

• 15

Tags

CCSS.6.EE.B.7

In the fifth example, how is the equation simplified to find x?

• By adding constants

• By dividing by the coefficient

• By multiplying by the coefficient

• By subtracting variables

Tags

CCSS.7.EE.B.4A

How is the fraction handled in the sixth example?

• By converting to a decimal

• By finding the reciprocal

• By converting to a simpler fraction

• By subtracting from both sides

Tags

CCSS.7.EE.B.4A

What is the solution for x in the model-based problem?

• x = 4

• x = 3

• x = 2

• x = 1

Tags

CCSS.7.EE.B.3

Why is it important to convert fractions to decimals or simpler fractions in these equations?

• To make it easier to graph

• Because fractions are not allowed

• To avoid using negative numbers

• To simplify the calculation

Tags

CCSS.7.EE.B.3