ALEKS - Assessment and Learning
   

B.47 Math Prep. for College Physics

 

Arithmetic
arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
arith108 Integer addition: Problem type 2
arith107 Integer subtraction
arith231 Integer multiplication and division
arith071 Absolute value of a number
arith104 Operations with absolute value: Problem type 2
arith212 Equivalent fractions
arith067 Simplifying a fraction
arith618 Addition or subtraction of fractions with the same denominator
arith230 Addition or subtraction of fractions with different denominators
arith116 Signed fraction addition or subtraction: Basic
arith106 Signed fraction addition or subtraction: Advanced
arith086 Product of a fraction and a whole number: Problem type 1
arith119 Introduction to fraction multiplication
arith053 Fraction multiplication
arith105 Signed fraction multiplication: Advanced
arith022 Fraction division
arith015 Writing an improper fraction as a mixed number
arith619 Writing a mixed number as an improper fraction
arith220 Decimal place value: Hundreds to ten thousandths
arith078 Rounding to tens or hundreds
arith061 Rounding to thousands, ten thousands, or hundred thousands
arith221 Rounding decimals
arith082 Multiplication of a decimal by a power of ten
arith083 Division of a decimal by a power of ten
arith222 Converting a fraction to a terminating decimal
arith089 Converting a fraction to a repeating decimal
arith223 Converting a mixed number to a decimal
arith087 Converting a decimal to a proper fraction in simplest form: Advanced
arith226 Converting between percentages and decimals
arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50
arith686 Writing a ratio as a percentage
arith030 Finding a percentage of a whole number without a calculator: Basic
arith225 Finding the percentage increase or decrease: Advanced
mstat001 Mean of a data set
arith101 Estimating a sum of whole numbers
arith102 Estimating a difference of whole numbers
arith604 Estimating a product or quotient of whole numbers
unit003 Metric distance conversion with decimal values
unit004 Metric conversion with decimal values: Two-step problem
unit010 Metric area unit conversion with decimal values
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
mstat005 Constructing a bar graph for non-numerical data
mstat004 Constructing a histogram for numerical data
Linear Equations and Applications
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge607 Combining like terms: Integer coefficients
alge016 Translating a sentence into a one-step equation
alge602 Writing a one-step variable expression for a real-world situation
alge009 Additive property of equality with whole numbers
alge010 Additive property of equality with integers
alge266 Additive property of equality with a negative coefficient
alge008 Multiplicative property of equality with whole numbers
alge012 Multiplicative property of equality with signed fractions
alge006 Solving a two-step equation with integers
alge208 Solving a two-step equation with signed fractions
alge200 Solving an equation to find the value of an expression
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients
alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
alge179 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators
alge103 Solving an absolute value equation of the form |ax+b| = c
alge167 Solving an absolute value equation of the form |ax+b| = |cx+d|
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
alge218 Solving a word problem involving rates and time conversion
alge272 Solving a proportion of the form x/a = b/c
arith610 Word problem on proportions: Problem type 1
alge014 Solving a word problem with two unknowns using a linear equation
alge219 Solving a decimal word problem using a linear equation with the variable on both sides
alge175 Word problem on direct variation
alge176 Word problem on inverse variation
Lines and Systems of Linear Equations
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge197 Graphing a line given its x- and y-intercepts
alge198 Graphing a vertical or horizontal line
alge194 Graphing a line given its equation in slope-intercept form
alge195 Graphing a line given its equation in standard form
alge196 Graphing a line through a given point with a given slope
alge018 Graphing a linear inequality in the plane: Standard form
alge225 Graphing a linear inequality in the plane: Vertical or horizontal line
mstat007 Interpreting a line graph
alge734 Understanding distance and speed graphs
alge066 Finding a solution to a linear equation in two variables
alge069 Finding the y-intercept of a line given its equation
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge637 Determining the slope of a line given its graph
alge631 Finding the slope of a line given its equation
alge073 Writing the equations of vertical and horizontal lines through a given point
alge070 Writing an equation of a line given the y-intercept and another point
alge071 Writing the equation of a line given the slope and a point on the line
alge072 Writing the equation of the line through two given points
alge805 Application problem with a linear function: Finding a coordinate given the slope and a point
alge806 Application problem with a linear function: Finding a coordinate given two points
alge216 Determining whether given points lie on one, both, or neither of 2 lines given equations
alge725 Graphically solving a system of linear equations
alge076 Solving a system of linear equations using elimination with multiplication and addition
alge224 Solving a distance, rate, time problem using a system of linear equations
alge192 Solving a percent mixture problem using a system of linear equations
alge079 Graphing a system of two linear inequalities: Basic
Exponents and Radicals
arith047 Evaluating expressions with exponents: Problem type 1
arith049 Evaluating expressions with exponents: Problem type 2
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith029 Ordering numbers with positive exponents
arith024 Ordering numbers with negative exponents
alge024 Introduction to the product rule of exponents
alge030 Product rule with positive exponents: Multivariate
alge026 Quotient of expressions involving exponents
alge028 Product rule with negative exponents
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
alge037 Greatest common factor of two multivariate monomials
alge004 Evaluating a quadratic expression: Integers
arith683 Power of 10: Positive exponent
arith036 Scientific notation with positive exponent
arith684 Power of 10: Negative exponent
arith037 Scientific notation with negative exponent
scinot002 Multiplying and dividing numbers written in scientific notation
scinot003 Finding powers of numbers written in scientific notation
scinot004 Order of magnitude estimation
alge663 Combining like terms: Advanced
alge029 Simplifying a sum or difference of three univariate polynomials
alge033 Multiplying binomials with leading coefficients of 1
alge032 Squaring a binomial: Univariate
alge180 Multiplication involving binomials and trinomials in two variables
alge705 Factoring a quadratic with leading coefficient 1
alge624 Factoring a difference of squares
alge038 Factoring a polynomial by grouping: Problem type 1
arith016 Square root of a perfect square
arith093 Simplifying the square root of a whole number less than 100
alge080 Simplifying a radical expression with an even exponent
alge084 Simplifying a sum or difference of radical expressions: Multivariate
arith039 Square root multiplication: Advanced
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge086 Rationalizing the denominator of a radical expression
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
Quadratic, Rational and Exponential Expressions
alge045 Finding the roots of a quadratic equation with leading coefficient 1
alge095 Applying the quadratic formula: Exact answers
alge214 Discriminant of a quadratic equation
alge524 Solving a word problem using a quadratic equation with irrational roots
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge093 Solving an equation using the odd-root property: Problem type 1
alge049 Restriction on a variable in a denominator: Linear
alge710 Simplifying a ratio of polynomials: Problem type 1
alge058 Complex fraction involving multivariate monomials
alge162 Complex fraction that contains a complex fraction
alge053 Multiplying rational expressions involving multivariate monomials
alge054 Dividing rational expressions involving multivariate monomials
alge055 Least common multiple of two monomials
alge056 Adding rational expressions with common denominators and binomial numerators
alge057 Adding rational expressions with different denominators: ax, bx
alge226 Adding rational expressions with multivariate monomial denominators: Advanced
alge622 Adding rational expressions with different denominators: x+a, x+b
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge160 Algebraic symbol manipulation
alge252 Graphing a parabola of the form y = ax2
alge253 Graphing a parabola of the form y = (x-h)2 + k
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
alge177 Finding a final amount in a word problem on exponential growth or decay
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge108 Converting between logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
pcalc708 Basic properties of logarithms
pcalc104 Graphing a logarithmic function: Advanced
Geometry
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom019 Area of a square or a rectangle
geom340 Area of a piecewise rectangular figure
geom217 Finding the side length of a rectangle given its perimeter or area
geom143 Finding the perimeter or area of a rectangle given one of these values
geom801 Area of a triangle
geom022 Area of a parallelogram
geom016 Circumference of a circle
geom838 Circumference ratios
geom301 Perimeter involving rectangles and circles
geom802 Circumference and area of a circle
geom302 Area involving rectangles and circles
geom805 Arc length and area of a sector of a circle
geom031 Surface area of a cube or a rectangular prism
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom842 Surface area of a sphere
geom311 Volume of a rectangular prism
geom035 Volume of a cylinder
geom841 Volume of a sphere
geom092 Word problem involving the rate of filling or emptying a cylinder
geom133 Ratio of volumes
geom846 Computing ratios of side lengths, surface areas, and volumes for similar solids
geom303 Acute, obtuse, and right angles
geom151 Measuring an angle with the protractor
geom152 Drawing an angle with the protractor
geom039 Finding supplementary and complementary angles
geom500 Solving equations involving vertical angles and linear pairs
geom306 Acute, obtuse, and right triangles
geom001 Finding an angle measure of a triangle given two angles
geom908 Finding an angle measure for a triangle with an extended side
geom044 Pythagorean Theorem
geom038 Similar right triangles
geom337 Indirect measurement
alge132 Distance between two points in the plane: Exact answers
alge191 Midpoint of a line segment in the plane
Trigonometry and Vectors
pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths
pcalc607 Using a trigonometric ratio to find a side length in a right triangle
pcalc610 Using trigonometry to find a length in a word problem with one right triangle
pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle
pcalc611 Using trigonometry to find angles of elevation or depression in a word problem
pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio
pcalc002 Converting between degree and radian measure: Problem type 1
pcalc006 Sketching an angle in standard position
pcalc603 Common angles and trigonometric functions
pcalc107 Sketching the graph of y=a*sin(x+c) or y=a*cos(x+c)
pcalc106 Sketching the graph of y=a*sin(bx) or y=a*cos(bx)
pcalc014 Sketching the graph of y=a*sin(bx+c) or y=a*cos(bx+c)
pcalc739 Multiplication of a vector by a scalar: Geometric approach
geom857 Vector addition: Geometric approach
vector007 Vector subtraction: Geometric approach
pcalc061 Scalar multiplication of a vector: Algebraic approach
pcalc062 Addition and subtraction of vectors: Algebraic approach
vector008 Linear combination of vectors: Component form
pcalc063 Translation of a vector
pcalc060 Magnitude of a vector given in component form
vector002 Finding the magnitude and direction of a vector given its graph
vector009 Dot product of vectors given in component form
pcalc730 Finding the angle between two vectors given in component form
vector010 Using the dot product to find perpendicular vectors
vector005 Finding the components of a vector given its graph
vector006 Finding the component of a vector along another vector
vector011 Finding magnitudes of forces related to a sum of three vectors
vector012 Finding magnitudes of forces related to an object suspended by cables