Algebra 1 Final Exam Review

Algebra 1 Final Exam Review

• Simplifying Expressions:

  • Example: 15/57 simplifies to 5/19
  • Example: 4 - 2 simplifies to 2

• Operations with Decimals:

  • Example: -31.25 + (-7.621) = -38.871

• Percent Increase/ Markups:

  • Example: A store marks up jeans 200%. If the selling price is $36, the original price is $12.

• Solving Equations:

  • Example: To solve x > 2 or x < 3: note that this is represented by any real number and thus the solution is all Real Numbers (R)

• Solving Compound Inequalities:

  • Example: Solving 2n < 12 and -2n > -60 gives -30 < n< 6

• Simplifying Algebraic Expressions:

  • Example: (2x+5)(3x+2) simplifies to 6x² + 19x+10

• Factoring Polynomials:

  • Example: x² - 5x - 14 factors to (x - 7)(x + 2)

• Solving Quadratic Equations:

  • Example: To solve 2x+ 3=5, x= 1

• Simplifying Radicals:

  • Example: √50 √18 = 30

• Graphing Linear Equations:

  • Example: A line with equation y = -4x +1 or graphs are given to match equations

• Finding Slope and y-intercept:

  • Example: For 3x + 9y = 18, slope = -1/3, and y-intercept is (0,2)

• Identifying Direct Variation:

  • Example: a direct linear variation graph must cross through (0,0)

• Scientific Notation:

• Example: 0.000081217 = 8.1217 x 10⁻⁵

• Identifying solutions of a quadratic equations

• Example: identify the nature of the solutions to a quadratic equation, such as rational or irrational roots.

• Evaluating expressions