Lesson 4 Homework Practice Subtract Linear Expressions: Tips and Tricks

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)

Lesson 4 Homework Practice Subtract Linear Expressions

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This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

This lesson introduces students to three of the six simple machines used by many engineers. These machines include the inclined plane, the wedge and the screw. In general, engineers use the inclined plane to lift heavy loads, the wedge to cut materials apart, and the screw to convert rotational motion into linear movement. Furthermore, the mechanical advantage describes how easily each machine can do work and is determined by its physical dimensions.

This lesson unit is intended to help teahcers assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation.

Concepts covered include: Numbers to 10 million (express in various forms; group into millions, hundreds of thousands, tens of thousands, thousands, hundreds, tens, and ones; count by millions and thousands; compare and order whole numbers; write multi-digit numbers in expanded form). Use exponents to denote powers of 10. Convert fractions to decimals. Model decimals using thousandths. Convert decimals to fractions. Solve problems using order of operations. Multiply and divide using multi-digit numbers. Add and subtract unlike fractions and mixed numbers. Multiply proper fractions, improper fractions, mixed numbers, and whole numbers. Divide a whole number by a unit fraction. Use estimation and mental math to estimate sums, differences, products, and quotients. Round decimals. Form and graph ordered pairs of corresponding terms from two numerical patterns. Write and simplify numerical expressions. Write and solve equations. Graph linear equations. Identify and plot points in the first quadrant of the coordinate plane. Apply the properties of right, isosceles and equilateral triangles as well as parallelogram, rhombus, and trapezoid. Use measurement conversions of length, weight/mass, and capacity/volume in solving real-world problems. Estimate and measure volume in cubic units. Interpret line graphs and line plots to solve problems involving addition, subtraction, multiplication, and division of fractions. Consult or download the complete Scope and Sequence for a full report of covered topics and concepts.

The colorful and engaging Student Books are consumable. The Practice on Your Own pages in the Student Book provide practice at the end of each lesson, but these are just the tip of the iceberg in terms of practice and homework options available. Mastery and Beyond pages provide practice exercises cumulative over several lessons. Additional Practice has exercises correlated to each lesson (these double the amount of practice for each lesson). For students who need additional instructional support, there is a Reteach Workbook and for those students who need additional challenge, there is the Extensions Workbook. The Reteach and Extensions books are only available as digital versions. For the 2021-2022 school year, these books will be included as part of the HIG or TG digital resources. After that, they will be available for purchase as a digital item. 2ff7e9595c