Practical problems that involve finding a single solution that satisfies two conditions or requirements can be solved using a system of equations. The substitution method is demonstrated in an example involving pay rates for two employee groups and ...
The rules for exponents begin with the rule for multiplying two factors with the same base.
Simplifying radicals with cube and other roots and variables.
Simplifying a radical by factoring the radicand is demonstrated. The goal of simplifying a radical is to make an expression easier to deal with by getting the smallest number possible under the radical sign.
Radicals are simplified using multiplication, illustrating when to multiply first and then find the square root of the product and when to find the square root first and then multiply.
Using the rules for simplifying radicals with numbers in the radicand to simplify radicals with variables.
Review of three strategies for solving equations.
Rationalizing the denominator with a variable in the radical is demonstrated.
A review of factoring of numbers and polynomials.
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.