Algebra 1 Staar Practice - C

 $q\left(x\right)=9x^2-24x+16$  

Which function is equivalent?

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

•  $q\left(x\right)=\left(3x+4\right)^2$  

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

•  $q\left(x\right)=\left(3x-4\right)^2$  

 $g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61$  

What are the domain and range?

• Domain: All real numbers
  
  Range: g(x) ≤ 61

• Domain: x ≤ 17
  
  Range: g(x) ≤ 61

• Domain: All real numbers
  
  Range: x ≤ 17

• Domain: g(x) ≥ 61
  
  Range: x ≤ 17

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 the 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?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

 $4\sqrt{147}$  

Which expression is equivalent?

•  $196\sqrt{3}$  

•  $12\sqrt{7}$  

•  $3\sqrt{7}$  

•  $28\sqrt{3}$  

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?

• 24

• 17

• 13

• 37