Balance Equations Hangers

Front

What is a balance equation?

Back

A balance equation is a mathematical statement that shows two expressions are equal, often used to represent physical systems in equilibrium.

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CCSS.HSA.CED.A.3

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable on one side by itself, making it easier to solve.

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CCSS.7.EE.B.4A

Front

What is the principle of maintaining balance in equations?

Back

The principle states that whatever operation is performed on one side of the equation must also be performed on the other side to maintain equality.

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CCSS.HSA.REI.A.1

Front

What operation can you perform to both sides of the equation to keep it balanced?

Back

You can add, subtract, multiply, or divide both sides of the equation by the same number.

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CCSS.HSA.REI.A.1

Front

If x + 3 = 8, what is x?

Back

x = 5.

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CCSS.6.EE.B.7

Front

What is the first step to solve the equation x - 3 = 8?

Back

Add 3 to both sides to isolate x.

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CCSS.6.EE.B.7

Front

If the equation is x + 8 = 3, what is the value of x?

Back

x = -5.

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CCSS.6.EE.B.7

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

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CCSS.8.EE.C.7A

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

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CCSS.6.EE.B.5

Front

What is the value of b if 2b = 36?

Back

b = 18.

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CCSS.6.EE.B.7