Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations worksheet, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the magic...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
Curated OER
Balance Benders - Algebraic Reasoning
In this algebraic reasoning worksheet, students solve 4 multiple choice and true/false problems. Students determine which statements about equality are true. Students find the appropriate representation of a given symbol in terms of...
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Curated OER
Algebraic Relationships
Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...
Illustrative Mathematics
Paying the Rent
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
Curated OER
The Balancing Act: Bottles, Plates, Drinking Glasses and Jugs
In this algebra worksheet, students ponder this 1 puzzle concerning the balance of bottles, plates, drinking glasses, and jugs. Students set up equations from a word problem and proceed in determining how much of one is needed to balance...
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Curated OER
The Interest Equations
For this algebra worksheet, students calculate the interest yearly, quarterly and daily. They follow specific formulas for each equation. There are 7 problems with an answer key.
Curated OER
Scale and Equations
In this Algebra I worksheet, 9th graders solve equations by using the concept of a scale where unknowns are represented by cylinders and numbers by marbles. The four page worksheet contains ten problems. Answers are not provided.
Curated OER
Tiles, Balances and Equations
In this algebra worksheet, students solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
Willow Tree
Problem Solving
School subjects connect when your young scholars use math to edit English. Math allows you to convert an entire paragraph into a simple equation or inequality. Examples encourage learners to write expressions, equations, and inequalities...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Balanced Assessment
Transformation I
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate them into a...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Curated OER
Using Positive Numbers
In this solving equations instructional activity, students solve 70 short answer problems. Students solve each equation for the unknown variable by simplifying like terms and isolating the variable.
Curated OER
False Coins
In this algebra worksheet, students use a balance scale to weigh coins and identify which coin is fake. It is important to have the scale balanced like you would an equation. There is an answer key.
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Curated OER
Selling Fuel Oil at a Loss
Learners are asked to advise a fuel oil dealer on a possible investment. They must use two different rates to set up an equation and solve to determine how much oil he should sell now to break even after selling the remainder the next...
Curated OER
Integrated Algebra Practice: Exponential Growth
In this exponential growth worksheet, students solve 10 multiple choice and short answer problems. Students find the interest of an amount of money given the rate, time, and times compounded.
Curated OER
The Bank Account
Your algebra learners become bankers for a day as they explore compounding interest and the formula used to calculate the balance in a savings account. Questions guide the learners as they analyze the formula's parts and their connection...
Concord Consortium
Rising Prices
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...