Illustrative Math - Algebra 1 - Unit 7 - Lesson 8

Both (x-3)(x+3) and (3-x)(3+x) contain a sum and a difference and have only 3 and in each factor.If each expression is rewritten in standard form, will the two expressions be the same? Explain or show your reasoning.

Tags

A.SSE.2

A.SSE.3.a

A.REI.4.b

Create a diagram to show that (x-3)(x-7) is equivalent to x^{2}-10x+21.

Tags

A.SSE.2

A.SSE.3.a

A.REI.4.b

Select all the expressions that are equivalent to 8-x.

• {"blocks":[{"key":"0","text":"x-8","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":3,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"8+(-x)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":6,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"-x-(-8)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"-8+x","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":4,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"x-(-8)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":6,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

A.SSE.2

A.SSE.3.a

A.REI.4.b