# Solve Problems Using Equations and Inequalities in One Variable

Standard A.CED.1 – Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Ohio specific:

a. Focus on applying linear and simple exponential expressions. (A1, M1)

b. Focus on applying simple quadratic expressions. (A1, M2)

c. Extend to include more complicated function situations with the
option to solve with technology. (A2, M3)

Vocabulary for this standard:
This is introduced in module one portion of the EngageNY curriculum and repeated multiple times throughout the curriculum.
Quick thoughts:
A base is a number or expression being multiplied in an exponent
An exponent is a number that describes how many times to use the number in a multiplication.
A coefficient is a number used to multiply a variable.
A negative exponent expresses that the base is the denominator of a fraction instead of the numerator
The multiplicative property of exponents says that when you multiply powers with the same base you just have to add the exponents
The division property of exponents says that when you divide powers with the same base you just have to subtract the exponents
The power of a power property says that when you raise an exponent to another power, you just have to multiply the exponents
Vocab
• Kahoot
• Quizizz
• Quizlet
Instruction:
• Desmos
Drills:
• Quizizz
• Kahoot
• Formative