algebra EOC10

Which expression is equivalent to

 $\left(10+7r-r^2\right)+\left(-6r^2-18+5r\right)?$  

•  $-7r^2+2r+8$  

•  $7r^2+12r+8$  

•  $-7r^2+12r-8$  

•  $7r^2+2r-8$  

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?​

(a)  

Which expression is equivalent to

 $\frac{45m^{-\ 6}p^2v^{12}}{15m^{-2}p^8v^{-4}}$  for all values of m, p, and v where the
expression is defined?

•  $\frac{3v^8}{m^8p^6}$  

•  $\frac{3v^{16}}{m^4p^6}$  

•  $\frac{30m^3}{p^4v^3}$  

•  $\frac{30v^3}{m^3p^4}$  

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by

 $y=-\frac{4}{9}x+5?$  

•  $y=\frac{4}{9}x+16$  

•  $y=\frac{4}{9}x-16$  

•  $y=\frac{9}{4}x+81$  

•  $y=\frac{9}{4}x-81$  

An exponential function is graphed on the grid.

Which function is best represented by the graph?

• $g\left(x\right)=6\left(\frac{1}{3}\right)^x$

• $g\left(x\right)=6\left(3\right)^x$

• $g\left(x\right)=6-\left(\frac{1}{3}\right)^x$

• $g\left(x\right)=6-\left(3\right)^x$

• C
• A
• B
• D

Which function is equivalent to

 $g\left(x\right)=x^2+15x-54?$  

•  $g\left(x\right)=\left(x+9\right)\left(x-6\right)$  

•  $g\left(x\right)=\left(x+18\right)\left(x-3\right)$  

•  $g\left(x\right)=\left(x-9\right)\left(x+6\right)$  

•  $g\left(x\right)=\left(x-18\right)\left(x+3\right)$  

Mathematical Equivalence

ON

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.

What is the domain of the function for this situation?

• $0\le x\le230$

• $6\le y\le36$

• $0\le y\le36$

• $6\le x\le230$

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function? 

• $-5$

• $-0.2$

• $5$

• $-2$