Topic 1 study

1. Operations on real numbers

• Operations with rational numbers

• The sum of two rarional numbers are always rational

• The product of two rational numbers is always rational

Operations with rational and Irrational numbers

• The sums of a rational and irrational number is always irrational

• The product of a rational and irrational number is rational

1. Solving linear equations

1. Determine what your variable needs to be

2. Translate phases in to math, your goal is to make an equation with one variable in it

3. Solve using inverse operations

4. Check that your answer makes sense

• Solving with variables on both sides

Number of equations: one

What is the solution: x=a

Number of solutions, none

What is the solution: no solutions

Number of solutions: infinite

What is the solution: all real numbers

Absolute value equations

When solving absolute value equations, you need to isolate the absolute value expression on one side of the equations.

if the absolute value expression contains more than one variable once isolated, you need to split the absolute value equation into TWO EQUATIONS. One will equal positive, one will equal negative