Algebra II

Front

What is the general form of an absolute value function?

Back

The general form of an absolute value function is f(x) = |x - h| + k, where (h, k) is the vertex of the graph.

Tags

CCSS.HSF-IF.C.7D

Front

How do you shift an absolute value function vertically and horizontally?

Back

To shift an absolute value function vertically, add or subtract a constant from the function. To shift it horizontally, add or subtract a constant from the variable inside the absolute value.

Front

What is the solution to the system of equations using elimination?

Back

To solve a system of equations using elimination, manipulate the equations to eliminate one variable, then solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Expand the expression (x + 2)³.

Back

The expansion of (x + 2)³ is x³ + 6x² + 12x + 8.

Tags

CCSS.HSA.APR.C.5

Front

What is the cube root of 27d¹²?

Back

The cube root of 27d¹² is 3d⁴.

Tags

CCSS.8.EE.A.2

Front

Define complex numbers.

Back

Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Tags

CCSS.HSN.CN.A.1

Front

What is the difference between pure imaginary numbers and complex numbers?

Back

Pure imaginary numbers are of the form bi (where a = 0), while complex numbers are of the form a + bi.

Tags

CCSS.HSN.CN.A.1

Front

What is the formula for the difference of squares?

Back

The formula for the difference of squares is a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b in the expression ax² + bx + c.