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Problem Type

Link

Distance Formula

Find the distance between two points

https://www.geogebra.org/classic/bb2d5sts

Intercepts of a Linear Function

Find the x- and y-intercepts of a linear function in the form Ax+By = C. Then sketch the graph.

https://www.geogebra.org/classic/twxmhgmd

 

Midpoints

Find the midpoint of the segment between two points

https://www.geogebra.org/classic/hj8pfjr9

 

Linear Equation

Solve a linear equation

https://www.geogebra.org/classic/z7vgwe4h

 

 

Linear Equation Balance

Enter a linear equation in two input boxes and solve step-by-step with applet showing equality, <, or >

https://www.geogebra.org/classic/vpva9ahq

 

Linear Equation with Fractions

Solve a linear equation with fraction coefficients

Ex:  

 

https://www.geogebra.org/classic/nxs8svmq

 

 

 

Rational Equation à Linear

Solve a rational equation by multiplying to get a linear equation.

Ex:

 

https://www.geogebra.org/classic/qntdpxam

 

 

Slope

Find the slope of the line through two points

https://www.geogebra.org/classic/e6jv78dh

 

Slope-Intercept from Two Points

Find the slope-intercept form of the equation of a line through two points

https://www.geogebra.org/classic/thz7etm3

 

 

Parallel Lines

Find the equation of a line through a point and parallel to another line

https://www.geogebra.org/classic/mfzsydth

 

Perpendicular Lines

Find the equation of a line through a point and perpendicular to another line

https://www.geogebra.org/classic/da6f62pa

 

FOIL

Expand the product to two linear binomials

https://www.geogebra.org/classic/cgnqhhjk

 

Factor

https://www.geogebra.org/classic/vyvqarha

 

Factor

https://www.geogebra.org/classic/ztdpheyb

 

Quadratic Equation with No Constant

Solve a quadratic of the form

https://www.geogebra.org/classic/zwvz4uaq

 

Solve by Factoring   

Solve a quadratic by factoring when the leading coefficient is 1.

https://www.geogebra.org/classic/xv9j2qdw

 

Solve a Simple Quadratic with Square Roots

Solve a quadratic of the form  using square roots.

https://www.geogebra.org/classic/rcfn3v9k

 

Solve a Perfect Square Quadratic

Solve a quadratic of the form  using square roots.

https://www.geogebra.org/classic/dfgmctk2

 

Complete the Square

See a visualization that adding  to

creates the “perfect square”

 

https://www.geogebra.org/classic/e7vxrcmu

 

Completing the Square (Integer Solutions)

Solve a quadratic equation by completing the square when the solutions are integers.

https://www.geogebra.org/classic/nrv9we4j

 

Completing the Square (Irrational Solutions)

Solve a quadratic by completing the square; most of these have irrational solutions.

https://www.geogebra.org/classic/bphdeqrz

 

Quadratic Formula

Solve a quadratic equation with the quadratic formula; all of these have real solutions and most are irrational

https://www.geogebra.org/classic/tyvn7ace

 

Discriminant

Compute the discriminant of a quadratic and use it to determine the types of solutions to a quadratic equation

https://www.geogebra.org/classic/zhcfk2jd

 

 

 

Factorable Cubic (GCF)

Solve a cubic by factoring with the greatest common factor

https://www.geogebra.org/classic/n84uty3h

 

Factor by Grouping

Solve a cubic equation by factor by grouping

https://www.geogebra.org/classic/emymxwbd

 

Equation with a Rational Exponent

Solve an equation of the form

   (where a divides b evenly)

https://www.geogebra.org/classic/hrzsnzz4

 

Equation with a Rational Exponent

Solve an equation of the form

   (where a does not divide b evenly)

https://www.geogebra.org/classic/agqnmfcr

 

Quadratic in Form 1

Solve an equation that is quadratic in form with whole number powers.

https://www.geogebra.org/classic/xz3ktyty

 

Quadratic in Form 2

Solve an equation that is quadratic in form with rational powers.

https://www.geogebra.org/classic/gf6r2sbv

 

Absolute Value Equations

Solve an absolute value equation

https://www.geogebra.org/classic/meffdvc4

 

Radical Equation

Solve a radical equation

https://www.geogebra.org/classic/u7qays4p

 

Linear Inequality 1

Solve a linear inequality and verify with a graph

https://www.geogebra.org/classic/zexpmrty

 

Linear Inequality 2

Solve a linear inequality with fraction coefficients

https://www.geogebra.org/classic/vqunaxdm

 

Compound Inequality (and)

Solve a linear inequality of the form: a < mx+b < c

https://www.geogebra.org/classic/uydyjktu

 

Compound Inequality (or)

Solve a compound inequality of the form: ax+b < m  or cx+d> n

https://www.geogebra.org/classic/p2f7wcwz

 

Absolute Value Inequality (less than)

Solve and inequality of the form a|mx+b| - c < d

https://www.geogebra.org/classic/kkdruugy

 

Absolute Value Inequality (greater than)

Solve and inequality of the form a|mx+b| - c > d

https://www.geogebra.org/classic/jtqamqnw

 

Is it a function? (numerical)

Given a set of ordered pairs, determine if y is a function of x

https://www.geogebra.org/classic/bzwzwdxh

 

Is it a function? (equation)

Given an equation in x and y, determine if y is a function of x

https://www.geogebra.org/classic/wjqmxjzm

 

Vertical Line Test

Given a graph, determine if it represents a function of x.

https://www.geogebra.org/classic/ggzmcqq9

 

Evaluate a Function

Given a quadratic function, evaluate it at a couple of numerical values and at an expression of the form x+a.

https://www.geogebra.org/classic/uwuuhzwb

 

Evaluate and Solve a Function Graphically

Given a graph find f(x) for a certain value and solve f(x)=k for some given k.

https://www.geogebra.org/classic/kptkfdp8

 

Find the Domain

Find the domain of a function with a linear denominator

https://www.geogebra.org/classic/cd4s38xw

 

Find the Domain

Find the domain of a function with a quadratic denominator

https://www.geogebra.org/classic/qeem45js

 

Find the Domain

Find the domain of a function involving a radical

https://www.geogebra.org/classic/g8j2pasj

 

Find the Domain

Find the domain of a function involving a radical and a fraction

https://www.geogebra.org/classic/eawsffxj

 

Increasing/ Decreasing

Determine where a function is increasing and decreasing

https://www.geogebra.org/classic/fvpdrsr2

 

Find a Polynomial given the x and y intercepts

https://www.geogebra.org/classic/qwgdfpek

 

Graphing a Transformation of y = bx.

https://www.geogebra.org/classic/qnssjjcm

 

Fit an exponential to a point. Find a function of the form y = bx passing through a given point.

https://www.geogebra.org/classic/e5dgpans

 

Fit an exponential to two points. Find a function of the form y = abx passing through two given points.

https://www.geogebra.org/classic/vx93wkgm

 

Find the Accumulated Amount in an Account with Compound Interest. Use A=P(1+r/n)nt or A = Pert to find A given the other information.

https://www.geogebra.org/classic/yry4efde

 

Evaluate a Logarithm

https://www.geogebra.org/classic/ekxeepff

 

Evaluate Logarithms

Generates 4 practice problems.

https://www.geogebra.org/classic/npqc2szb

 

Graphing a Transformation of y=abx

https://www.geogebra.org/classic/vfwpfppz

 

Graphing a Transformation of y=logb(x)

https://www.geogebra.org/classic/s3qa3dkq