Math Models

Using a Problem-Solving Strategy

The difference of a number and six is 13. Find the number.
The sum of twice a number and seven is 15. Find the number.
One number is five more than another. The sum of the numbers is 21 . Find the numbers.
The sum of two numbers is negative fourteen. One number is four less than the other. Find the numbers.
One number is ten more than twice another. Their sum is one. Find the numbers.
The sum of two consecutive integers is 47. Find the numbers.
Find three consecutive integers whose sum is -42.
Find three consecutive even integers whose sum is 84.

Solving Percent Applications

What number is 35% of 90?
6.5% of what number is $1.17?
144 is what percent of 96?

Solving Mixture Applications

Adalberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type does she have?

Solving Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

Use the Pythagorean Theorem to find the length of the hypotenuse shown.
Use the Pythagorean Theorem to find the length of the leg shown.
The area of a rectangular room is 168 square feet. The length is 14 feet. What is the width?
Find the length of a rectangle with perimeter 50 inches and width 10 inches.

Solving Uniform Motion Applications

Solving Applications with Linear Inequalities

More Algebra Topics
Linear Equations and Inequalities
Graphs
Systems of Linear Equations
Polynomials
Factoring
Rational Expressions and Equations
Roots and Radicals
Quadratic Equations