Illustrative Math - Algebra 1 - Unit 6 - Lesson 8

Select all expressions that are equivalent to x^{2}+4x.

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• {"blocks":[{"key":"0","text":"(x+2)^{2}","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":9,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x+x)(x+4)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":10,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x+2)^{2}-2","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":11,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"e1joa","text":"(x+4)x","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":6,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

6.EE.3

7.EE.1

F.IF.8.a

Explain why the values of the exponential expression 3^{x} will eventually overtake the values of the quadratic expression 10x^{2}.

Tags

6.EE.3

7.EE.1

F.IF.8.a

A baseball travels d meters t seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation d=5t^{2}. Which graph could represent this situation? Explain how you know.

Tags

6.EE.3

7.EE.1

F.IF.8.a

Consider a function q defined by q(x)=x^{2}. Explain why negative values are not included in the range of q.

Tags

6.EE.3

7.EE.1

F.IF.8.a

Equations defining functions a,b,c,d, and f are shown here.Select all the equations that represent exponential functions.

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• {"blocks":[{"key":"0","text":"b(t)=(\\frac{2}{3})^{t}","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":22,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"c(m)=\\frac{1}{5}*2^{m}","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":22,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"d(x)=3x^{2}","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":11,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"f(t)=3*2^{t}","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":12,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

6.EE.3

7.EE.1

F.IF.8.a