IA2.AT.B.6: Create, solve, and analyze systems consisting of a linear and a quadratic equation in two variables in context. a. Create systems consisting of a linear and a quadratic equation to represent relationships. b. Solve these systems exactly and approximately using algebraic methods (i.e., substitution), graphical methods, or tables. c. Interpret the meaning of the solution(s) in context.

Create, solve, and analyze systems consisting of a linear and a quadratic equation in two variables in context. a. Create systems consisting of a linear and a quadratic equation to represent relationships. b. Solve these systems exactly and approximately using algebraic methods (i.e., substitution), graphical methods, or tables. c. Interpret the meaning of the solution(s) in context.

Example Problems

What is the sum of all integer solutions to

1 < (x - 2)^2 < 25

?

Use inverse operations to solve the equation for the unknown variable:

6 = -2x

Use inverse operations to solve the equation for the unknown variable:

5 = a - 3

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