Arithmetic
Foundation skills in arithmetic and number operations.
Integers & Signed Numbers
| Download | Topic | Notes |
|---|---|---|
| ias.pdf | Addition and subtraction of two integers. | Suggested time: 30 seconds per sheet. |
| adsu.pdf | Addition and subtraction of signed single digits. | Suggested time: 1 min. 45 sec. per sheet with 0 wrong. |
| ti.pdf | Multiplication of signed single digits. | |
| dib.pdf | Division by a single signed digit number. | |
| di.pdf | Long division by a single digit number. |
Fractions
| Download | Topic | Notes |
|---|---|---|
| pf.pdf | Prime factorization. | |
| fr.pdf | Reduce each fraction to lowest terms. | |
| fai.pdf | Addition or subtraction of a fraction and an integer. | |
| fa.pdf | Addition or subtraction of two fractions. | |
| frl.pdf | Addition or subtraction of two fractions using Least Common Multiple. | |
| fc.pdf | Simplify complex fractions. |
Square Roots
| Download | Topic | Notes |
|---|---|---|
| sqr.pdf | Simplify square roots. | |
| sqq.pdf | Simplify square roots with operations. |
Basic Algebra
Core algebra skills including equations, polynomials, and quadratics.
Linear Equations & Inequalities
| Download | Topic | Notes |
|---|---|---|
| eqi.pdf | Solve linear equations — integer coefficients with integer answers. | |
| eqf.pdf | Solve linear equations — fractional coefficients. | |
| eqp.pdf | Solve linear equations involving many terms. | |
| eqs.pdf | Solve for the indicated variable. | |
| iqi.pdf | Solve linear inequalities — integer coefficients with integer answers. | |
| iqp.pdf | Solve linear inequalities involving many terms. |
Polynomials & Factoring
| Download | Topic | Notes |
|---|---|---|
| pe.pdf | Expand (FOIL) and combine like terms. | |
| esq.pdf | Expand a square of a binomial. | |
| fp.pdf | Factor a quadratic polynomial with leading coefficient 1. | |
| fpg.pdf | Factor a quadratic polynomial by grouping. |
Quadratic Equations
| Download | Topic | Notes |
|---|---|---|
| csq.pdf | Complete the square. | |
| qef.pdf | Solve quadratic equations. | |
| qer.pdf | Reduce the coefficients before applying the quadratic formula. | Note: answers in this worksheet are not fully simplified. |
| qie.pdf | Solve quadratic inequalities. |
Exponents & Radicals
| Download | Topic | Notes |
|---|---|---|
| efr.pdf | Put a radical expression into rational power form. | |
| epe.pdf | Simplify into positive powers only using exponential rules. | |
| ewf.pdf | Simplify into an expression without fractions using exponential rules. |
Graphs
Visual representations of functions and algebraic relationships.
Lines
| Download | Topic | Notes |
|---|---|---|
| lsi.pdf | Find slope and y-intercept of a line, and draw the graph. | |
| lfi.pdf | Find the line equation using the point-slope formula. | |
| lin.pdf | Find the point of intersection. |
Quadratic Functions
| Download | Topic | Notes |
|---|---|---|
| qfv.pdf | Find intercepts and vertex of a quadratic function, and draw the graph. |
Logarithms
Precalculus topic covering logarithmic expressions and equations.
Evaluating Logarithms
| Download | Topic | Notes |
|---|---|---|
| lev.pdf | Evaluate logarithms. | |
| leb.pdf | Evaluate logarithms by using the base change formula. |
Manipulating Logarithms
| Download | Topic | Notes |
|---|---|---|
| lex.pdf | Expand logarithmic expressions. | |
| lcb.pdf | Combine logarithmic expressions. |
Logarithmic Equations
| Download | Topic | Notes |
|---|---|---|
| leq.pdf | Solve logarithmic equations. |