EOC Review #1

Which of the following statements about polynomial functions are true? Select all that apply.

 $f\left(a\right)=2a-7+a^2$  and  $g\left(a\right)=5-a$  

• The expressions that represents the sum of the polynomials is a first-degree polynomial

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(a) and g(a) can be represented by the expression  $a^2+a-2$  

• The difference of f(a) and g(a) can be represented by the expression  $a^2+a-12$  

• The product of f(a) and g(a) can be represented by the expression  $-a^3+3a^2+17a-35$  

A skydiver is 10,000 feet above the ground when he opens his parachute. After opening the parachute he descends at a constant speed of 200 feet per second. What type of function would best model this situation?

• linear

• quadratic

• cubic

• exponential

Which equation models the situation?

A skydiver is 10,000 feet above the ground when he opens his parachute. After opening the parachute he descends at a constant speed of 220 feet per second. What type of equation would best model this situation?

•  $f\left(x\right)=10,000\ +\ 220x$  

•  $f\left(x\right)=10,000\ -\ 220x$  

•  $y=10,000\ +\ 220x$  

•  $y=10,000\ -\ 220x$  

Which statement explains why his solution is incorrect?

• He forgot to multiply x by 2 in Step 1.

• He added x to both sides of the equation in Step 2 instead of subtracting x.

• He added 1 on both sides of the equation in Step 3 instead of subtracting 1.

• He multiplied by the reciprocal of 3 to get x = 2 in Step 4.

 $f\left(x\right)=x^2-9x-36$  

Select the solutions of the following quadratic:

• -6

• -3

• 3

• 6

• 12

• $-8x+10y=-4$

• $-2x+8y=8$

• $6x+9y=36$

• $6x-2y=8$

• $x+\frac{3}{2}y=6$

• Since it lies on the graph of the line, the point (a,b) is a solution to the equation, y = -3x + 1.

• Since it does not lie on the graph of the line, the point (c,d) is not a solution of the equation, y = -3x + 1

• Since a = c, both points (a,b) and (c,d) are solutions to the equation y = -3x + 1.

• The point $\left(\frac{3}{2},-\frac{7}{2}\right)$ lies on the graph of the line that represents the equation y = -3x + 1

• The graph of the line represents all the solutions to the equation y = -3x + 1 .

What is the solution to the inequality $3+\frac{5}{7}x\ge1+x$ ? 

•  $x\le-\frac{21}{5}$  

•  $x\ge-7$  

•  $x\le7$  

•  $x\ge\frac{2}{7}$  

• $y<\frac{2}{3}x-3$

• $y>\frac{3}{2}x-5$

• $y<-3x+5$

• $y>-2x+3$