Balance Equations Hangers

Front

What is a balance equation in mathematics?

Back

A balance equation is an equation that shows two expressions are equal, often represented as 'A = B', where both sides must maintain equality.

Tags

CCSS.6.EE.B.7

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What operation can you perform on both sides of an equation without changing its equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

If x + 3 = 8, what is the first step to isolate x?

Back

Subtract 3 from both sides to get x = 8 - 3.

Tags

CCSS.6.EE.B.7

Front

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

Back

x = 8 + 3, which simplifies to x = 11.

Tags

CCSS.6.EE.B.7

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.

Tags

CCSS.6.EE.B.5

Front

What is the value of b in the equation 27 = b + 9?

Back

b = 27 - 9, which simplifies to b = 18.

Tags

CCSS.6.EE.B.7

Front

What is the value of h in the equation h + 14 = 27?

Back

h = 27 - 14, which simplifies to h = 13.

Tags

CCSS.6.EE.B.7

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, indicating equality.

Tags

CCSS.8.EE.C.7B

Front

What is the equation for a hanger that has 27 on one side and b + 9 on the other?

Back

The equation is 27 = b + 9.

Tags

CCSS.HSA.CED.A.3