Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​​ALGEBRA eXAMPLES

Sam and Nick age problem

12/24/2014

 
Sam is 9 years older than nick. 7 years ago he was 4 times as old as nick. How old is sam now?
x = Nick's age now
x + 9 = Sam's age now   {Sam is 9 years older than Nick} 

x - 7 = Nick's age 7 years ago
x + 2 = Sam's age 7 years ago   {subtracted 7 from age now} 

x + 2 = 4(x - 7)   {seven years ago, Sam was four times Nick}
x + 2 = 4x - 28   {used distributive property}
3x = 30   {added 28 and subtracted x from each side}
x = 10   {divided each side by 3}
x + 9 = 19   {substituted 10, in for x, into x + 9} 

Sam is 19

- Algebra House


Comments are closed.

    Ask a Question


    Algebra Examples Playlist
    Picture


    Examples

    All
    All Word Problems
    Basic Math
    Combining Like Terms
    Distributive Property
    Equations Of Lines
    Exponents
    Factoring
    Foil Method
    Functions
    Geometry
    Graphing
    Imaginary Numbers
    Inequalities
    Linear Equations
    Literal Equations
    Miscellaneous
    Percents
    Pythagorean Theorem
    Quadratic Equations
    Radicals
    Simplifying
    Slopes And Intercepts
    Solving Equations
    System Of Equations
    Word Problems Age
    Word Problems Distance
    Word Problems Geometry
    Word Problems Integers
    Word Problems Misc.
    Word Problems Mixture
    Word Problems Money
    Word Problems Number



Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip