Algebra II Mid-Term Review

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13

Back

(1, 5)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Determine the inverse for the function: T(x) = 6x - 7

Back

T^{-1}(x) = \frac{x + 7}{6}

Tags

CCSS.HSF-BF.B.4A

Front

Quadratic equations take the shape of a _______ when graphed.

Back

parabola

Tags

CCSS.HSF-IF.C.7A

Front

Describe the transformation from the parent absolute value function: y = |x| - 5

Back

Shift down 5 units

Front

Factor: x^2 + 2x - 3

Back

(x - 1)(x + 3)

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What is the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac, which determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it passes the horizontal line test, meaning no horizontal line intersects the graph more than once.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6