Assignment 2 is based on Khan Academy Exercises.
Complete the 68 linked Khan Academy Exercises below. These exercises revise some of the concepts covered in 5th year higher level maths. Aim to achieve as many points as you can by completing each question correctly. Enjoy and good luck.
Make sure to be signed in to the Khan Academy class before starting (instructions below if required).
Complete the 68 linked Khan Academy Exercises below. These exercises revise some of the concepts covered in 5th year higher level maths. Aim to achieve as many points as you can by completing each question correctly. Enjoy and good luck.
Make sure to be signed in to the Khan Academy class before starting (instructions below if required).
Algebra: Number Systems & Complex Numbers (8)
Classifying numbers
Quetzalcoatl » Benslandiaville » cc-ben-8-numbers-operations
Practice classifying numbers as whole, integer, rational, and irrational.
Absolute value of complex numbers
Math » Algebra II » Imaginary and complex numbers » Complex numbers
Find the absolute value of a complex number.
Complex number polar form intuition
Math » Precalculus » Imaginary and complex numbers » The complex plane
Adjust the angle and radius to plot a complex number in polar form.
Multiplying complex numbers
Math » Precalculus » Imaginary and complex numbers
Dividing complex numbers
Math » Precalculus » Imaginary and complex numbers
Complex plane operations
Math » Precalculus » Imaginary and complex numbers
Add or subtract numbers in the complex plane.
Rectangular and polar forms of complex numbers
Math » Precalculus » Imaginary and complex numbers » The complex plane
Quadratic formula with complex solutions
Math » Algebra II » Polynomial and rational functions
Number: Indices (11)
Exponents
Math » Pre-algebra » Exponents, radicals, and scientific notation
Practice taking exponents of whole numbers. All exponents in these problems are either positive or zero.
Properties of exponents
Math » Algebra I » Exponent expressions and equations
Practice applying properties of exponents.
Fractional exponents
Math » Algebra I » Exponent expressions and equations » Fractional exponents
Fractional and integer bases raised to positive and negative fractional exponents.
Simplifying expressions with exponents
Math » Algebra I » Exponent expressions and equations
Simplify expressions using exponent rules
Fractional exponents 2
Math » Algebra I » Exponent expressions and equations » Fractional exponents
Fractional bases raised to fractional exponents with non-1 numerators.
Positive and negative exponents
Math » Pre-algebra » Exponents, radicals, and scientific notation
Practice computing numbers raised to positive and negative integer exponents.
Using exponent rules to evaluate expressions
Math » Algebra I » Exponent expressions and equations
Practice evaluating expressions by adding, subtracting, or multiplying exponents.
Understanding fractional exponents
Math » Algebra I » Exponent expressions and equations » Fractional exponents
Manipulating fractional exponents
Math » Algebra I » Exponent expressions and equations » Fractional exponents
Simplifying rational expressions with exponent properties
Math » Algebra basics » Expressions with exponents » Exponent properties
Simplify the ratio of two monomials.
Whole number exponents with integer bases 2
Math » Pre-algebra » Exponents, radicals, and scientific notation
Practice raising integers to whole number powers.
Algebra: Inequalities (3)
Compound inequalities
Math » Algebra I » Linear inequalities
Solve compound inequalities.
One-step inequalities
Math » Algebra I » Linear inequalities
Practice solving inequalities in one step.
Multi-step linear inequalities
Math » Algebra I » Linear inequalities
Solve linear inequalities in multiple steps.
Number: Sequences and Series (5)
Explicit formulas for arithmetic sequences
Math » Algebra I » Sequences » Arithmetic sequences
Explicit formulas for arithmetic sequences
Evaluating geometric sequences 1
Math » Integral calculus » Sequences, series, and function approximation
Find the next term in a geometric sequence.
Evaluating geometric sequences 2
Math » Integral calculus » Sequences, series, and function approximation
Find the nth term of a geometric sequence.
Finite geometric series word problems
Math » Precalculus » Sequences, series and induction
Understanding and solving problems with the formula for a finite geometric series
Equation practice: summing integers
Math » Algebra I » Linear equations » More equation practice
Find the nth number in a sequence of consecutive numbers based on the sum.
Algebra: Quadratics & Polynomials (25)
Solutions to quadratic equations
Math » Algebra II » Polynomial and rational functions
Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex
Understanding the process for solving quadratic equations
Math » Algebra I » Quadratic equations
Using the quadratic formula
Math » Algebra II » Polynomial and rational functions
Use the quadratic formula to find the roots of a quadratic function.
Solving quadratics by completing the square 1
Math » Algebra II » Polynomial and rational functions
Find the roots of a quadratic equation by completing the square.
Solving quadratics by factoring 2
Math » Algebra II » Polynomial and rational functions » Factoring quadratics
Solve quadratics by factoring, where the leading coefficient is not 1
Solving quadratics by factoring
Math » Algebra II » Polynomial and rational functions » Factoring quadratics
Factor quadratics to find the x-intercepts.
Solving quadratics by taking the square root
Math » Algebra I » Quadratic equations
Solve quadratics by taking the square root.
Solving quadratics by completing the square 2
Math » Algebra II » Polynomial and rational functions
Find the roots of a quadratic by completing the square.
Radical equations
Math » Algebra I » Exponent expressions and equations » Radical equations
Solve equations containing square roots of variables.
Factoring quadratics with two variables
Math » Algebra I » Multiplying and factoring expressions
Factor a polynomial with two variables into expressions
Completing the square in quadratic expressions
Math » Algebra I » Quadratic equations » Completing the square
Key features of quadratic functions
Math » Algebra I » Quadratic equations » Features of quadratic functions
Systems of nonlinear equations
Math » Algebra II » Systems of equations and inequalities
Graphing parabolas in standard form
Math » Algebra I » Quadratic equations » Graphing quadratics
Graph a parabola given the equation in the form ax^2+bx+c
Graphing parabolas in vertex form
Math » Algebra I » Quadratic equations » Graphing quadratics
Graph a parabola given the equation in the form a(x+b)^2+c
Parabola intuition 3
Math » Algebra II » Conic sections » Parabolas
Find the equation of the parabola.
Dividing polynomials by binomials 1
Math » Algebra II » Rational expressions » Simplifying rational expressions
Simplify the ratio of a polynomial and a binomial.
Dividing polynomials by binomials 2
Math » Algebra II » Rational expressions » Simplifying rational expressions
Simplify the ratio of a polynomial and a binomial.
Dividing polynomials by binomials 3
Math » Algebra II » Rational expressions » Simplifying rational expressions
Simplify the ratio of a polynomial and a binomial.
Polynomial identities
Math » Algebra II » Polynomial and rational functions
Graphs of polynomials
Math » Algebra II » Polynomial and rational functions
Remainder theorem of polynomials
Math » Algebra II » Polynomial and rational functions
Equivalent forms of polynomial expressions
Math » Algebra II » Polynomial and rational functions
Dividing polynomials with remainders
Math » Algebra II » Polynomial and rational functions » Dividing polynomials
Using zeros to graph polynomials
Math » Algebra II » Polynomial and rational functions
Shifting and reflecting functions
Math » Algebra II » Functions and their graphs
Determine the equation for one graphed function in terms of another.
Algebra: Exponential functions (5)
Rewriting and interpreting exponential functions
Math » Algebra II » Exponential and logarithmic functions
Modeling with exponential functions
Math » Algebra II » Exponential and logarithmic functions
Evaluating functions
Math » Algebra II » Functions and their graphs » Function introduction
Evaluate functions written with function notation
Understanding logarithms as inverse exponentials
Math » Algebra II » Logarithms » Logarithm basics
Using logarithms to solve exponential equations
Math » Algebra II » Exponential and logarithmic functions
Probability (11)
Probability with permutations and combinations
Math » Probability and statistics » Probability and combinatorics
Probability questions using permutations and combinations of objects
Probabilities of compound events
Math » Precalculus » Probability and combinatorics
Practice using sample space diagrams to find probabilities.
Independent probability
Math » Precalculus » Probability and combinatorics
Dependent probability
Math » Precalculus » Probability and combinatorics » Dependent events
Making predictions with probability
Quetzalcoatl » Content improvement » Middle school content
Practice predicting the number of times a certain event will happen.
Constructing probability distributions
Math » Probability and statistics
Multiplying dependent probabilities
Math » Probability and statistics » Independent and dependent events
Expected value with empirical probabilities
Math » Probability and statistics
Expected value with calculated probabilities
Math » Probability and statistics
Using probability to make fair decisions
Math » Probability and statistics » Probability and combinatorics
Expected value
Math » Probability and statistics
Compute the expected value given a set of outcomes, probabilities, ...
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