Standard A.CED.4 – Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

Ohio specific:

a. Focus on formulas in which the variable of interest is linear or square. For example, rearrange Ohm’s law V = IR to highlight resistance R, or rearrange the formula for the area of a circle A = (π)r2 to highlight radius r. (A1)

b. Focus on formulas in which the variable of interest is linear. For example, rearrange Ohm’s law V = IR to highlight resistance R. (M1)

c. Focus on formulas in which the variable of interest is linear or square. For example, rearrange the formula for the area of a circle A = (π)r2 to highlight radius r. (M2)

d. While functions will often be linear, exponential, or quadratic, the types of problems should draw from more complicated situations. (A2, M3)

**base**is a number or expression being multiplied in an exponent

**exponent**is a number that describes how many times to use the number in a multiplication.

**coefficient**is a number used to multiply a variable.

**negative exponent**expresses that the base is the denominator of a fraction instead of the numerator

**multiplicative property of exponents**says that when you multiply powers with the same base you just have to add the exponents

**division property of exponents**says that when you divide powers with the same base you just have to subtract the exponents

**power of a power property**says that when you raise an exponent to another power, you just have to multiply the exponents

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