# Math 106 Pre-Algebra Worksheets

**Basics:**

**Arithmetic:**

**Rounding numbers****Converting between fractions and decimals****Converting between percents, fractions, and decimals****Variable and verbal expressions****Adding and subtracting integers****Adding and subtracting decimals****Adding and subtracting fractions and mixed numbers****Dividing integers****Multiplying integers****Multiplying decimals****Multiplying and dividing fractions and mixed numbers****Order of operations****Evaluating variable expressions**

**Number Theory:**

**Divisibility and factors****Factoring numbers****Factoring monomials****Greatest common factor (GCF)****Least common multiple (LCM)**

**Algebraic Expressions:**

**Proportions and Percents:**

**Converting between percents, fractions, and decimals****Percent problems, straightforward****Finding percent change****Markup, discount, and tax (easy)****Markup, discount, and tax (hard)****Proportions****Proportion word problems****Similar figures****Similar figure word problems****Simple and Compound interest**

**Inequalities:**

**Graphing single-variable inequalities****One-step inequalities by adding/subtracting****One-step inequalities by multiplying or dividing****Two-step inequalities****Multi-step inequalities**

**Equations:**

**One-step equations containing integers****One-step equations containing decimals****One-step equations containing fractions****One-step equation word problems****Two-step equations containing integers****Two-step equations containing decimals****Two-step equation word problems****Multi-step equations**

**Linear Functions:**

**Finding slope****Graphing lines using slope-intercept form****Graphing lines using standard form****Writing linear equations****Graphing linear inequalities**

**Systems of Equations:**

**Solving systems of equations by graphing****Solving systems of equations by substitution****Systems of equations word problems**

**Exponents and Radicals:**

**Multiplication property of exponents****Division property of exponents****Powers of products and quotients****Writing Scientific Notation****Square Roots**

**Polynomials:**

**Factoring monomials****Adding and subtracting polynomials****Multiplying a polynomial and a monomial****Multiplying binomials**

**Plane Figures**

**Translations (Rigid Transformation)****Rotations (Rigid Transformation)****Reflections (Rigid Transformation)****Angle relationships****The Pythagorean Theorem****The Distance Formula****The Midpoint Formula****Classifying triangles and quadrilaterals****Angle sum of triangles and quadrilaterals****Area of triangles****Area of squares, rectangles, and parallelograms****Area of trapezoids****Area and circumference of circles**

**Solid Figures:**

**Word Problems:**

**One-step equation word problems****Two-step equation word problems****Proportion word problems****Similar figure word problems****Systems of equations word problems**

**Statistics:**