In this graphs of quadratic equations activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the vertex using...

In this Algebra I activity, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line.  The five page activity contains ten...

In this Algebra I activity, students determine the graph of the equation of a line.    Students determine the x- and y-intercepts and graph. The three page activity contains six problems. Answers are not provided. 

For this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.

In this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.

In this math worksheet, middle schoolers solve the problems for equations, formulas, and proportions. The equations are written using Algebra blocks.

In this place value and exponents activity, students use exponents to write the given numbers in expanded form. Students then write each number in standard form and find the value of 'n' in each equation. Students then answer one...

In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.

For this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.

In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...

In this quadratic inequalities learning exercise, students graph and then solve the 6 quadratic inequalities on this page. The learning exercise has blank graphs for each problem and space available to show work.

In this parallel and perpendicular lines worksheet, students solve 18 different problems that include determining various parallel and perpendicular lines. First, they determine and write the equation for each description given. Then,...

Algebra learners can practice solving one-step equations using both addition and subtraction with decimal numbers.  A few problems challenge the pupil to write and solve their own equation based on information given in a table. 

For this addition principle worksheet, 8th graders solve 20 different problems that include applying the addition principle to each equation. First, they solve each of the listed equations. Then, students determine the value of each...

In this least squares instructional activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate...

A worksheet that could also be used as a quiz presents students with 20 linear equations. They graph, solve for the slope, and intercepts of 8 equations. Students solve for the equation of a line, passing through given points for 6 sets...

In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Middle and high schoolers solve four word problems based on three different graphs of ordered pairs which show the amount of money spent on lunch on particular days. Next, learners are given two equations of functions, and an x value and...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

How many people can fit around a table? Depends on the size of the table, right? Explore patterns to generate an equation for the number of people that can fit around a table given its size.

An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).