MathMatters 3: An Integrated Program, Reteaching Workbook by McGraw-Hill Education

By McGraw-Hill Education

Similar education books

Complete MBA For Dummies

Are looking to get an MBA? the entire MBA For Dummies, 2<sup>nd</sup> variation, is the sensible, plain-English consultant that covers all of the fundamentals of a top-notch MBA application, assisting you to navigate today’s such a lot leading edge enterprise innovations. From administration to entrepreneurship to strategic making plans, you’ll comprehend the most popular developments and get the newest strategies for motivating staff, construction international partnerships, coping with probability, and production.

Strategies That Work: Teaching Comprehension for Understanding and Engagement

On account that its e-book in 2000, concepts That paintings has turn into an quintessential source for academics who are looking to explicitly train considering recommendations in order that scholars turn into engaged, considerate, self reliant readers. during this revised and improved variation, Stephanie and Anne have additional twenty thoroughly new comprehension classes, extending the scope of the e-book and exploring the critical function that activating history wisdom performs in knowing.

Additional info for MathMatters 3: An Integrated Program, Reteaching Workbook

Sample text

E x a m p l e Solve. 4x Ϫ 3y ϭ 11 2x ϭ 4y ϩ 3 Solution Write each equation in standard form. 4x Ϫ 3y ϭ 11 2x ϭ 4y ϩ 3 ➝ 2x Ϫ 4y ϭ 3 Multiply to obtain an equivalent system of equations in which the coefficients of one of the variables are either the same or the opposite. Then add or subtract. 4x Ϫ 3y ϭ 11 ➝ 4x Ϫ 3y ϭ 11 ➝ 4x Ϫ 3y ϭ 11 2x Ϫ 4y ϭ 3 ➝ Ϫ2(2x Ϫ 4y) ϭ 3(Ϫ2) ➝ Ϫ4x ϩ 8y ϭ Ϫ6 5y ϭ 5, so y ϭ 1 Choose one of the original equations, for example 4x Ϫ 3y ϭ 11. Substitute 1 for y. 4x Ϫ 3(1) ϭ 11 4x Ϫ 3 ϭ 11 4x ϭ 14 1 x ϭ 3ᎏ2ᎏ The solution is 3ᎏ1 2ᎏ, 1 .

Glencoe/McGraw-Hill 55 MathMatters 3 Name _________________________________________________________ RETEACHING Date ____________________________ 7-6 PARALLEL LINES AND PROPORTIONAL SEGMENTS Properties of similar triangles can be used to determine whether lines are parallel and to show proportions. • A line parallel to one side of a triangle that intersects each of the other two sides at a point other than the vertex divides the sides proportionately. • A segment that joins the midpoints of two sides of a triangle is parallel to the third side.

A line parallel to one side of a triangle that intersects each of the other two sides at a point other than the vertex divides the sides proportionately. • A segment that joins the midpoints of two sides of a triangle is parallel to the third side. E x a m p l e Find the value of x ෆ || A ෆB ෆ. given ෆ DE Solution Since ෆ DE ෆ || A ෆB ෆ, and D ෆE ෆ intersects ෆ AC ෆ and B ෆC ෆ at a point other ෆ divides the sides proportionately. than the vertex, ෆ DE To find x, write and solve a proportion. AD BE → ϭ 10 ᎏ ᎏϭᎏ ᎏ5 CD Cᎏ E xᎏ ᎏ6ᎏ 30 ϭ 10x 3ϭx So x is 3.