Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
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...
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
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...
Lone Star College
Geometry Worksheet II
Young geometers get practice with the algebra of angles in an extensive skills practice worksheet. Supplementary, complementary, and vertical angle relationships are used, along with parallel lines cut by a transversal and angle sum of a...
Mathematics Assessment Project
A Golden Crown?
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.
![WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8] Lesson Plan](http://content.lessonplanet.com/resources/thumbnails/160775/large/cgrmlwnvbnzlcnqymdezmdmzmc04ntg3ltf4ztu1dtquanbn.jpg?1414261468 "WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8] Lesson Plan")
Curated OER
WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8]
In this college prep algebra worksheet, students combine like terms in 15 polynomial expressions. Students multiply polynomials in 18 expressions. Students divide 6 polynomial expressions. The rest of the 48 problems relate to the...
Curated OER
Solving Linear Equations
In this linear equation worksheet, students solve basic linear equations containing positive and negative integers. Students show their algebra steps, as they solve for "x." The majority of the ten equations contain two terms, and a few...
Curated OER
Graphs
In this algebra worksheet, students solve three linear equations to by substitution to determine if the given point is a solution. Students graph and determine the slope and y-intercept of 5 linear equations.
Curated OER
Functions
In this algebra worksheet, pupils look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
Curated OER
Other Equations of Lines
In this algebra worksheet, students find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
Curated OER
Solving by Substitution or Elimination
In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
Curated OER
Solving Applications: Systems of Two Equations
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
Curated OER
Intersections, Unions, and Compound Inequalities
In this algebra worksheet, students graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
Curated OER
Absolute Value Equations and Inequalities
In this algebra worksheet, young scholars solve 13 problems involving absolute value. Six problems require students to write the answer in interval notation.
Curated OER
Inequalities in Two Variables
In this algebra worksheet, students solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.
Curated OER
Factoring Perfect-Square Trinomials and Differences of Squares
In this algebra worksheet, students factor expressions into the product of two binomials. Four of the problems involve factoring perfect square trinomials. The remaining eight problems require students to factor problems that are the...
Curated OER
Applications of Polynomial Equations
In this algebra worksheet, young scholars solve polynomial equations for the given variable. Seven problems require students to solve a given equation. The last three problems are word problems, each gives the required equation. Young...
Curated OER
Rational Equations
In this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Curated OER
Multiplying Radical Expressions
In this algebra worksheet, pupils multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.
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