final

What ordered pair represents the solution to this system of linear equations (3y=2x+2) (y=4/3x + 1)

(-1/2, 1/3)

Overnight rain has left 8 gallons of water in Juan's boat. Juan secures a small container and begins scooping the water out at a constant rate of 0.5 gallons per minute. Let G(t) denote the amount of water (in gallons) that remains in the boat t minutes after Juan begins scooping. The equation below relates G(t) and t. G(t) = 8 − 0.5t. What is the domain of this relationship?

(0,16)

Which of the following does NOT represent a function of x ?

-1 | 3

Which expression is in the simplest form -11 root 54

-33 root 6

What is the range for a function of distance traveled, d, for time, t? (d = rt)

0<d< infinity

If f(x)=3−2x=, and the graph of g(x) is a line that is perpendicular to the graph of f(x), what is the rate of change of g(x) with respect to x?

1/2

A radical expression is shown 3 root 48xy5

12y2√3xy

What is the simplified form of the expression below (22)4 times 2-5

2 power 3

Which graph represents the solution of the inequalities 2x − 4 ≤ 8 and x + 5 ≥ 7?

2-6 grey

Let y be a function of x such that 2x−3y=6. What is the rate of change of y with respect to x?

2/3

What is the volume of a rectangular prism with a length of root 2x3y inches, a width of root 2x2 y3 inches, and a height of root 2x2y inches?

2x3 y2 root 2xy cubic inches

Let T(n) denote the nth term of a sequence T. If T(1)=3T(1)=3, and T(n+1)=T(n)+5 for n≥1, what are the first four terms of the sequence?

3,8,13,18

The graph below represents the distance an insect travels, in feet, over a period of several minutes. What is the speed of the insect, in feet per minute, according to the graph?

3/5

what value of x makes the equation true? x+1/7 =5/3

32/3

If 7x + 2a = 3x + 5a, what is the value of x?

3a/4

Line l passes through Point (-4,3) and has a slope of -3/4. What is the equation of Line l in standard form?

3x+4y=-24

12 root 6 / 3 root 2

4 root 3

What is the sum of root 27 and root 3

4 root 3

What is the slope of a line passing through (-3, -4) and (3,4)

4/3

Which expression is equivalent to 12 root 7 - 7 + 2 2 root 10

5 root 7 + 2 root 10

What is the solution to the equation x+3(x-5)=9

6

Which situation could the graph below BEST represent?

Alberto sold bags of potpourri for $1.50 per bag, plus a $3.00 handling charge per order.

A cable company charges $150 per month plus $4 for each movie watched. If Tracie's budget for cable is at most $175, what values represent this function's domain?

D = {0, 1, 2, 3, 4, 5, 6}

A pail of water containing 150 ounces has a slow leak. The graph shows the amount of water in the pail after each hour.

Domain: 0<t<6

Save-On-Shipping Shop has two different package-delivery options. The options are represented by the two lines in the graph below, where y represents the cost of shipping a package, in dollars, and x represents the weight of the package, in ounces.

It costs $7 to ship a 20-ounce package using either shipping option.

Which answer choice represents the explicit formula for the sequence below? 5, -25, 125, -625, 3125

a(n) = 5 times (-5) n-1

For what values of a and b will the equation ax+9=3(2x−b) have infinitely many solutions?

a=6 and b=-3

Which graph represents the solution set for the system of linear inequalities below? (y<3x+1) (x-y>1)

right shaded dash

Which relation is a function?

x y (0,0) (1,5)

A factory has 161 workers. There are 92 more males than females. Let x represent the number of males and let y represent the number of females. Which system of equations represents this situation?

x+y=161 | x=y+92

Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of these systems BEST represents this situation?

x+y=25 | 0.50x+0.25y=10

which linear equation has a slope of 1/2 and a y-intercept at (0,0)

x-2y=0

The graph of a linear inequality in 2 variables is shown in the coordinate plane.

x-2y>8

Which inequality is the solution to 2-10x>5-4(3-2x)

x<1/2

A line contains the point (2,3) and has a slope of 1/2. What is the point-slope form of the equation for the line?

y-3=1/2(x-2)

which equation of a line passes through the points (3,-1) and (6,1)

y=2/3x-3

A line is parallel to the x-axis and passes through (2, 3). Which answer choice shows the line's equation and correct slope?

y=3; m is 0

Which of the following systems of inequalities describes the shaded region in the graph below?

y>x | y<x+2

What is the domain of the graph shown below?

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

If f(x)=xf(x)=x and g(x)=12f(x)g(x)=12f(x), how does the graph of g compare to the graph of f?

The graph of f is steeper than the graph of g.

If the y-intercept of the equation y=3x-2 is changed to -5, which statement BEST describes how the graph will be affected?

The graph will shift 3 units down

Which of the following describes the graph of the equation 3y = 6x + 12?

The line with slope 2 and y-intercept (0, 4)

The formula A=1/2(b1+b2)can be used to determine the area of a trapezoid. Solving this equation forwill result in which equation

b1=2a/h-b2

The area of a trapezoid, a, is given by a= (b1+b2/2) h,

b2 = 2A/h - b1

Which of the following is NOT the graph of a function of x?

circle one