8th Algebra Assignment

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

Which expression is equivalent to  $4\sqrt{147}?$  

•  $28\sqrt{3}$  

•  $3\sqrt{7}$  

•  $12\sqrt{7}$  

•  $196\sqrt{3}$  

Linear parent function f is graphed on the grid. Which graph best represents  $h\left(x\right)=-f\left(x\right)+3?$  

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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and then price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

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  $4y=3x+64\ \ and\ \ 8y=x+68$
  

• $4y=3x+64\ \ and\ \ 8y=x+60$

• $3x+4y=64\ \ and\ x+8y=68$

• $3x+4y=64\ \ and\ \ x+8y=60$

What are the domain and range of  $g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61?$  

•  $Domain:\ \ All\ real\ numbers;\ Range:\ g\left(x\right)\le61$  

•  $Domain:\ \ x\le17;\ \ Range:\ \ g\left(x\right)\le61$  

•  $Domain:\ \ All\ real\ numbers;\ \ Range:\ \ x\le17$  

•  $Domain:\ \ g\left(x\right)\ge61;\ \ Range:\ \ x\le17$  

Which graph best represents this system of equations?

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Which function is equivalent to  $q\left(x\right)=9x^2-24x+16?$  

•  $\left(9x-4\right)\left(x-4\right)$  

•  $\left(3x+4\right)^2$  

•  $\left(3x-4\right)^2$  

•  $\left(9x+4\right)\left(x+4\right)$  

Which statements are best supported by the graph?

• The axis of symmetry is x = -3.

• The x-intercept is located at (-3,0).

• The coordinates of the y-intercept are (0,9).

Which table shows y as a function of x?

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Which function is equivalent to  $y=3\left(x+2\right)^2+7?$  

•  $y=3x^2+12x+33$  

•  $y=3x^2+12x+19$  

•  $y=3x^2+19$  

•  $y=3x^2+33$