Solve Systems Consisting of a Linear Equation and a Quadratic Equation
Standard A.REI.7 – Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.
a. Limit to pairs of linear equations in two variables. (A1, M1)
b. Extend to include solving systems of linear equations in three variables, but only algebraically. (A2, M3)
Vocabulary for this standard:
EngageNY lesson link – This appears in the first module of the EngageNY Algebra II curriculum.
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