Parts of an Expression/ Combining Like Terms

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Presentation transcript:

Parts of an Expression/ Combining Like Terms Algebra 1 Part 1 – Day 2 Rippling Water (Basic) Note: This video template is optimized for Microsoft PowerPoint 2010. In PowerPoint 2007, video elements will play, but any content overlapping the video bars will be covered by the video when in slideshow mode. In PowerPoint 2003, video will not play, but the poster frame of the videos will remain in place as static images. The video: Plays automatically after each slide transition. Is 15 seconds long. Seamlessly loops for infinite playback. To add slides or change layout: To add a new slide, on the Home tab, in the Slides group, click the arrow under New Slide, then click under Motion Background Theme, then select the desired layout. To change the layout of an existing slide, on the Home tab, in the Slides group, click Layout, then select the desired layout. Other animated elements: Any animated element you insert will begin after the slide transition and the background video has started. Layouts with video effects: The “(Green) Title and Content” and “(Purple) Title and Content” layouts are creating by using a color overlay on the video. With the video selected, under Video Tools, on the Format tab, in the Adjust group, select Color and choose Teal, Accent Color 6 Light (third row, seventh option from left) or Periwinkle, Accent Color 5 Light (third row, sixth option from left).

Do Now Solve the following: 10𝑥+2𝑥 −4 if 𝑥=3 4𝑎−3𝑏+2𝑎−6 if 𝑎=−2, 𝑏=1

Coefficient: Number next to the variable Parts of an Expression 𝟕𝒙+𝟑−𝟓𝒙+𝟖+𝟒𝒙−𝟏 Term: A single expression separated by + or – signs Expression Variable Term Constant Term Coefficient: Number next to the variable 7𝑥 ? variable

Combining Like Terms + + + 2 + + + + + 2 + + + + + + + + + + + Is there a way to simplify this order?

Like Terms with Variables: Variables must MATCH Combining Like Terms Like Terms with Variables: Variables must MATCH + = 2 𝒙+𝒚=𝟐𝒙 𝟕𝒙+𝟑−𝟓𝒙+𝟖+𝟒𝒙−𝟏 =𝟔𝒙+𝟏𝟎 Constant Like Terms 𝟑+𝟖−𝟏 =𝟏𝟎 Variable Like Terms 𝟕𝒙−𝟓𝒙+𝟒𝒙 =𝟔𝒙 Combine Coefficients

Combine Like Terms w/Exponents Multiple Variables Variables with Exponents 2𝑎𝑏+4𝑎−2𝑏 Can I simplify this expression? 2𝑎𝑏+4𝑎𝑏−2𝑏 6𝑎𝑏−2𝑏 3 𝑥 2 − 𝑦 3 +2 𝑦 2 −5 𝑥 2 You not only look at the variable, but the exponent Are the x variables like terms? Yes Are the y variables like terms? No

Simplify the following expression Exit Ticket Simplify the following expression 3 𝑥 2 𝑦+4𝑥−6𝑦+4 𝑥 2 𝑦−2𝑦