Algebra 2 Common Core worksheets

Extend exponent properties to rational exponents.

• Rational exponents

Rewrite expressions between radical and rational-exponent form.

• Simplifying radicals
• Rational exponents

Know that i squared is -1 and that complex numbers have form a + bi.

• Complex numbers

Add, subtract and multiply complex numbers.

• Complex numbers

Solve quadratic equations with complex solutions.

• Quadratics with complex solutions

Use the structure of an expression to rewrite it.

• Difference of two squares
• Laws of logarithms
• Rational expressions
• Distributing
• Exponent laws
• Squaring a binomial
• Negative powers
• Simplifying roots
• Multiplying two brackets
• Algebraic fractions
• Logarithm laws
• Factor a difference of squares
• Difference of squares with coefficients
• Multiply a sum by a difference

Rewrite an expression to reveal properties: factor, complete the square, use exponent rules.

• Factoring x² + bx + c
• Difference of two squares
• Taking out a common factor
• Completing the square
• Common factor of two terms
• Common factor of three terms
• Factoring x² − bx + c
• Factoring x² + bx − c

Derive and use the sum formula for a finite geometric series.

• Sums of series

Apply the Remainder Theorem.

• Dividing polynomials

Rewrite a rational expression in quotient-plus-remainder form.

• Dividing polynomials
• Multiplying and dividing rational expressions

Create equations and inequalities in one variable and solve them.

• Quadratic equation word problems
• Absolute value equations

Solve quadratic equations by factoring, completing the square and the formula.

• Solving x² + bx + c = 0
• How many real solutions?
• Solving quadratics by square roots
• The discriminant
• Discriminant with a leading coefficient
• Solving x² = p by square roots
• Solving (x − h)² = k by square roots

Solve a system of one linear and one quadratic equation.

• A line meeting a parabola

Write a function in an equivalent form to reveal its properties.

• Completing the square

Write a function that describes a relationship between quantities.

• Write the rule from a situation

Identify the effect of replacing f(x) with f(x)+k, kf(x), f(kx) and f(x+k).

• Transformations of a function

Find the inverse of a function.

• Inverse functions

Solve ab^(ct) = d using logarithms.

• Logarithms

Interpret the parameters of a linear or exponential model.

• What the numbers in a rule mean

Understand radian measure as an arc length on the unit circle.

• Radians and degrees

Use the unit circle to extend the trigonometric functions to all reals.

• Exact trig values

Prove and use the Pythagorean identity.

• Pythagorean identity

Understand statistics as inference about a population from a sample.

• Is this sample fair?

Decide whether a model is consistent with results, using simulation.

• Does the data fit the claim?

Tell apart sample surveys, experiments and observational studies.

• Survey, experiment or study?

Estimate a population mean or proportion; understand margin of error.

• Margin of error