Exam 1 Outline of content (Chpts follow the Coleman Book - Second Edition)

R.3 Exponents, scientific notation, and review of polynomials (HW set 01)

Simplifying integer exponents using the properties of exponents

Scientific notation

Add/subtract and multiplying polynomials

Conjugates of binomials

R.6 Radicals and Rational Exponents

Simplifying radicals of multiple degrees

Simplify rational exponents using the same properties as integer exponents

Converting radicals to rational exponents and visa versa

Adding, subtracting, multiplying and dividing radical expressions

Rationalizing the denominator of a radical expression (HW set 02 begins here)

R.4 Factoring polynomials

Finding the GCF

Factoring a two term, three term and four term polynomial

R.5 Rational Expressions (HW set 03 begins here)

Simplify, multiply, divide, add and subtract rational (fraction) expressions

1.1 Linear equations, formulas and problem solving

Solving a linear equations (with integer and rational coefficients)

Solve a variable expression for a specific variable

Linear modeling using contextual word problems and geometric shapes (HW set 04 begins here)

Solving linear inequalities – single and compound

Using interval notation to display an answer

Graphing the solution to a linear inequality with interval notation

Solving absolute value equations and inequalities

Practice Exam problems

  1. Simplify completely. Write your final answer in exponential form. The final answer should have positive exponent only.

a. b.

c.

  1. Simplify completely and write the answer in radical form
  1. Write the radical expressions using rational exponents only. a. b.
  1. Write the exponential expressions using radicals only.

a. b. c.

  1. Simplify completely and write the answer in radical form Be sure to rationalize the denominator if necessary

a. b. c.

d. 2 - 3 + 2 e.

  1. Multiply by its conjugate and simplify
  1. Simplify completely and write the answer in radical form
  1. Rationalize the denominator of the expression a. b. c.
  1. Simplify completely
  1. Simplify completely a. b.
  1. Factor completely
  1. Simplify completely a. b.
  1. Simplify completely a. b.
  1. Solve the following equations
  1. Rework the contextual problems in HW 04 (Make sure students rework the word problems from WHS)

A train travels 150 km at a speed of 40 km per hour. Write an equation in terms of t describing the distance the train travels in t time. How long will it take the train to travel 300 km? If the train travels 240 km in 3 hours how fast was the train traveling in km per hour.

16.  Solve: a. for A b. for s

Solve and graph the following inequalities and express the answer in interval notation.

17.