Staying in Balance! (1-Step)

Staying in Balance!

I can add or remove objects from each side of a hanger to keep the hanger balanced.

I can represent a hanger diagram with an equation.

Multiple Choice

A symbol for an unknown value is called a _______________. It is usually a letter such as a, X or Y.

• Constant

• Coefficient

• Solution

• Variable

Multiple Choice

The number directly in front of the variable is called the _______?

• Variable

• Coefficient

• Equation

• Solution

Multiple Choice

The number that can replace the variable and make the equation TRUE.

• Coefficient

• Variable

• Solution

• Equation

Multiple Choice

A math statement saying two expressions are equal (contains an equal sign!).

• Coefficient

• Variaable

• Solution

• Equation

Multiple Choice

What is the variable in the expression, 20 - 2x ?

• 20

• 2

• x

• a

Multiple Choice

What is the coefficient in the expression 3 + 4y ?

• 3

• +

• 4

• y

Multiple Choice

Multiple Choice

Multiple Choice

Multiple Choice

Multiple Choice

• $x\cdot x\cdot x=1\cdot1\cdot1\cdot1\cdot1\cdot1$

• $x\cdot x\cdot x=6$

• $3x\ =\ 6$

• $x+3=6$

Multiple Choice

• $13\ \frac{4}{5}=w\ +\ 3\ \frac{4}{5}$

• $13\ \frac{4}{5}\ =\ 3\ \frac{4}{5}\cdot w$

Multiple Choice

• $12\ =\ 2\ +\ y$

• $12=2y$

Multiple Choice

• $3\ \cdot\ x\ =\ 8$

• $3\ +\ x\ =\ 8$

Solving/Balancing

When it's all variables....

Solve/Balance

A variable and some numbers...

Solve/Balance

All variables...

Solve/Balance

A mix of variables and numbers...

Multiple Choice

Explain how to reason with the diagram to find the weight of x.

• x and 3 together must equal 8, so x is 5 because 5 + 3 = 8

• x and 3 together must equal 8, so x is 4 because 4 + 3 = 8

Multiple Choice

Which explains another way to reason what the value of x is?

• Remove 3 from both sides to keep the hanger balanced. X is 5 since 8 - 3 is 5.

• Remove x from both sides to keep the hanger balanced. 3 = 8

Multiple Choice

Explain how to reason with the diagram to find the weight of a piece with a letter.

• y = 12. 12 is twice the weight of y, so y weighs half of 6.

• y = 6. 12 is twice the weight of y, so y weighs half of 12.

Multiple Choice

Equation: 11 = 4z

Explain how to reason with the equation to find the weight of a piece with a letter.

• Dividing each side of the equation by 4 leaves 11/4 = z.

• Dividing each side of the equation by 2 leaves 22/4 = z .