ALEKS - Assessment and Learning
   

B.21 Prep. for Intermediate Algebra

 

Real Numbers
arith687 Fractional position on a number line
arith667 Plotting fractions on a number line
arith067 Simplifying a fraction
arith092 Using a common denominator to order fractions
arith230 Addition or subtraction of fractions with different denominators
arith086 Product of a fraction and a whole number: Problem type 1
arith053 Fraction multiplication
arith022 Fraction division
arith100 Fractional part of a circle
arith697 Mixed arithmetic operations with fractions
arith110 Decimal place value: Tenths and hundredths
arith221 Rounding decimals
arith608 Ordering decimals
arith226 Converting between percentages and decimals
arith698 Applying the percent equation
arith069 Writing a ratio as a percentage without a calculator
mstat049 Computing a percentage from a table of values
arith074 Finding the sale price without a calculator given the original price and percent discount
arith031 Finding the original price given the sale price and percent discount
arith225 Finding the percentage increase or decrease: Advanced
stat801 Computations from a circle graph
arith232 Finding simple interest without a calculator
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
alge823 Solving a one-step word problem using the formula d = rt
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
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith688 Integer subtraction: Problem type 1
arith689 Integer subtraction: Problem type 2
arith690 Integer subtraction: Problem type 3
arith116 Signed fraction addition or subtraction: Basic
arith106 Signed fraction addition or subtraction: Advanced
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith822 Signed fraction multiplication: Basic
arith105 Signed fraction multiplication: Advanced
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
arith118 Order of operations with integers
arith600 Order of operations with integers and exponents
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
arith071 Absolute value of a number
arith104 Operations with absolute value: Problem type 2
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
alge187 Properties of addition
alge188 Properties of real numbers
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge607 Combining like terms: Integer coefficients
alge663 Combining like terms: Advanced
alge293 Combining like terms in a quadratic expression
set001 Set builder notation
set002 Union and intersection of finite sets
set004 Set builder and interval notation
Linear Equations and Inequalities
alge010 Additive property of equality with integers
alge266 Additive property of equality with a negative coefficient
alge797 Multiplicative property of equality with integers
alge825 Multiplicative property of equality with decimals
alge820 Multiplicative property of equality with fractions
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
alge742 Solving equations with zero, one, or infinitely many solutions
alge810 Introduction to algebraic symbol manipulation
alge743 Algebraic symbol manipulation: Problem type 1
alge744 Algebraic symbol manipulation: Problem type 2
alge733 Writing a one-step expression for a real-world situation
alge291 Translating a phrase into a two-step expression
alge016 Translating a sentence into a one-step equation
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
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
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge704 Solving a fraction word problem using a linear equation with the variable on both sides
alge792 Solving a word problem with three unknowns using a linear equation
alge794 Solving a value mixture problem using a linear equation
alge795 Solving a percent mixture problem using a linear equation
alge796 Solving a distance, rate, time problem using a linear equation
stat803 Finding the value for a new score that will yield a given mean
alge015 Translating a sentence by using an inequality symbol
alge017 Graphing a linear inequality on the number line
alge822 Writing an inequality given a graph on the number line
alge166 Graphing a compound inequality on the number line
alge019 Solving a linear inequality: Problem type 1
alge020 Solving a linear inequality: Problem type 2
alge021 Solving a linear inequality: Problem type 3
alge207 Solving a linear inequality: Problem type 4
alge745 Solving a linear inequality: Problem type 5
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
alge748 Writing an inequality for a real-world situation
alge749 Solving a decimal word problem using a two-step linear inequality
alge750 Solving a decimal word problem using a linear inequality with the variable on both sides
alge270 Solving an absolute value equation of the form a|x| = b or |x|+a = b
alge103 Solving an absolute value equation of the form |ax+b| = c
alge170 Solving an absolute value inequality: Basic
Functions, Lines, and Systems
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
fun033 Variable expressions as inputs of functions: Problem type 1
fun032 Identifying functions from relations
fun010 Vertical line test
fun016 Domain and range from ordered pairs
fun024 Domain and range from the graph of a continuous function
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
alge066 Finding a solution to a linear equation in two variables
alge216 Determining whether given points lie on one, both, or neither of 2 lines given equations
alge197 Graphing a line given its x- and y-intercepts
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
alge198 Graphing a vertical or horizontal line
alge225 Graphing a linear inequality in the plane: Vertical or horizontal line
alge720 Graphing a linear inequality in the plane: Slope-intercept form
alge252 Graphing a parabola of the form y = ax2
alge262 Graphing a cubic function of the form y = ax3
alge168 Graphing an absolute value equation in the plane: Advanced
alge069 Finding the y-intercept of a line given its equation
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge684 Finding slope given the graph of a line on a grid
alge685 Finding slope given two points on the line
alge631 Finding the slope of a line given its equation
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
alge073 Writing the equations of vertical and horizontal lines through a given point
geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
geom808 Writing equations of lines parallel and perpendicular to a given line through a point
mstat007 Interpreting a line graph
alge263 Interpreting the graphs of two functions
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
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
alge725 Graphically solving a system of linear equations
alge751 Solving a system of linear equations using substitution
alge076 Solving a system of linear equations using elimination with multiplication and addition
alge752 Solving a 2x2 system of linear equations that is inconsistent or consistent dependent
alge753 Solving a 3x3 system of linear equations: Problem type 1
alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations
alge184 Solving a value mixture problem using a system of linear equations
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
alge172 Solving a tax rate or interest rate problem using a system of linear equations
alge793 Solving a word problem using a 3x3 system of linear equations: Problem type 1
Exponents, Polynomials, and Radicals
alge790 Evaluating expressions with exponents of zero
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
alge791 Rewriting an algebraic expression without a negative exponent
alge024 Introduction to the product rule of exponents
alge030 Product rule with positive exponents: Multivariate
alge028 Product rule with negative exponents
alge827 Introduction to the quotient rule of exponents
alge026 Quotient of expressions involving exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge754 Introduction to the power rules of exponents
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge756 Power and product rules with positive exponents
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot002 Multiplying and dividing numbers written in scientific notation
alge798 Simplifying a sum or difference of two univariate polynomials
alge029 Simplifying a sum or difference of three univariate polynomials
alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient
alge033 Multiplying binomials with leading coefficients of 1
alge764 Multiplying conjugate binomials: Univariate
alge032 Squaring a binomial: Univariate
alge736 Introduction to the GCF of two monomials
alge738 Factoring out a monomial from a polynomial: Univariate
alge705 Factoring a quadratic with leading coefficient 1
alge040 Factoring a quadratic with leading coefficient greater than 1
alge624 Factoring a difference of squares
alge681 Solving an equation written in factored form
alge045 Finding the roots of a quadratic equation with leading coefficient 1
alge048 Finding the roots of a quadratic equation with leading coefficient greater than 1
arith016 Square root of a perfect square
arith601 Square root of a rational perfect square
arith094 Cube root of an integer
arith602 Estimating a square root
arith093 Simplifying the square root of a whole number less than 100
alge264 Square root of a perfect square monomial
alge080 Simplifying a radical expression with an even exponent
arith032 Square root addition or subtraction
arith039 Square root multiplication: Advanced
alge086 Rationalizing the denominator of a radical expression
Geometry
geom300 Perimeter of a square or a rectangle
geom019 Area of a square or a rectangle
geom801 Area of a triangle
geom022 Area of a parallelogram
geom802 Circumference and area of a circle
geom311 Volume of a rectangular prism
geom035 Volume of a cylinder
geom031 Surface area of a cube or a rectangular prism
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom001 Finding an angle measure of a triangle given two angles
geom908 Finding an angle measure for a triangle with an extended side
geom530 Solving equations involving vertical angles
geom037 Similar polygons
geom817 Finding a side length given the perimeter and side lengths with variables
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
geom340 Area of a piecewise rectangular figure
geom301 Perimeter involving rectangles and circles
geom302 Area involving rectangles and circles
geom036 Word problem involving the area between two concentric circles