# IMPACT Mathematics: Algebra and More, Course 3, Student by McGraw-Hill Education

By McGraw-Hill Education

A entire Algebra 1 curriculum by means of the tip of the eighth grade effect arithmetic: Algebra and extra, direction three is a part of a thrilling 3-course application constructed in cooperation with schooling improvement middle, Inc. It makes arithmetic available to extra of your scholars. They spend much less time reviewing themes from earlier grades and extra time progressing rigorously and effectively towards the of completion of Algebra 1 through the top of grade eight. Informal-to-formal idea improvement guarantees that scholars construct helpful abilities and improve conceptual knowing.

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Additional info for IMPACT Mathematics: Algebra and More, Course 3, Student Edition

Sample text

Area of a square d. perimeter of a square Use the distributive property to rewrite each expression without using parentheses. 14. 5z ϩ z2) 15. 4a2b) 16. Ϫ2c ᎏ2ᎏ 17. pq΂ᎏp1ᎏ2 Ϫ ᎏpᎏ΃ ΂c 2 Linear Relationships ϩ c2΃ q Fill in the blanks to make true statements. In y o u r own words Explain how you can tell whether a linear relationship is a direct variation from a written description, from an equation, and from a graph. 18. 3y ϭ Ϫ17y Ϫ _____ 19. 2mn2 ϭ ______ 8 20. ᎏbᎏ ϭ _____ ϩ ᎏ9bᎏ 2 21. ______ Ϫ ᎏanᎏ2 ϭ 4 Geometry Find the value of the variable in each drawing.

Study these graphs. i j 5 y k l x ؊5 m 5 n ؊5 a. Which pairs of lines have the same slope? b. Find the slope of each line. Find an equation of each line. 14. a line with slope Ϫ1 and passing through the point (1, 4) 15. a line with slope ᎏ13ᎏ and passing through the point (3, 3) 16. a line with slope Ϫ2 and passing through the point (3, 6) Find an equation of the line passing through the given points. & Extend Connect Remember Lines have a constant difference in their y values: when the x values change by a certain amount, the y values also change by a certain amount.

Try Investigation 3 to explain why your method works. Using Points and Slopes to Write Equations You will now learn how to find equations for lines when you know two points on the line, or when you know the slope of the line and one point. M A T E R I A L S graph paper Explore The table describes a linear relationship. x y Ϫ2 Ϫ1 Ϫ3 Ϫ1 0 1 1 3 2 5 3 7 What is an equation of the line described by the table? Explain how you found the equation. Use two data pairs (x, y) to find the slope of this line.