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EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
EngageNY
One-Step Equations—Addition and Subtraction
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
EngageNY
Solving a Linear Equation
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Illustrative Mathematics
Bookstore Account
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
New York State Education Department
Regents High School Examination, Integrated Algebra 2010
In this integrated algebra worksheet, learners solve problems involving systems of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
New York State Education Department
Regents High School Examination, Integrated Algebra 2010
In this integrated algebra worksheet, students solve problems covering topics studied during the year. Problems include slope-intercept, Venn Diagrams, finding solutions to multi-step algebra problems, writing equations parallel and...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Khan Academy
Khan Academy: Multi Step Linear Inequalities
Solve linear inequalities that take multiple steps to solve. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Math Aids
Math Aids: Equations Worksheets
Great resource to practice and strengthen math skills pertaining to equations. Math worksheets are printable, may be customized, and include answer keys.
Khan Academy
Khan Academy: Systems of Equations With Elimination Challenge
Solve systems of equations with multi-step elimination (e.g., a manipulation is needed in order for x-values and y-values to cancel each other out). Students receive immediate feedback and have the opportunity to try questions...