Math Exam 2
d
Find A ∩ (B U C). A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}
c
Find the difference and simplify. x+1/x-4-x+3/x+2
a
Find the difference. (4x 2 - 6x + 8) - (3x 2 - 6x + 2)
a
Find the product. (25x 2 + 20xy + 16y 2)(5x - 4y)
a
Find the product. (2x 2 - 4x + 1)(5x - 7)
d
Find the quotient. (12x 2 - 10x -12) ÷ (3x + 2)
a
An experienced housepainter can paint an inside wall in under twenty minutes. An inexperienced housepainter can take up to one hour. If a team of an experienced painter and an inexperienced painter work on a room together, what is the longest it should take them to paint the four walls, if they finish at the same time?
a
A line passes through the point (-3, -3) and has a slope of 1/2 . What is the equation of the line?
d
A train travels in a straight path at a steady speed of 1.25 miles per minute. At noon, the train is 100 miles from the starting point. Express the distance D from the starting point as a function of time, x, in minutes after noon.
c: 31x/30
Add and simplify.
c
Add and simplify. x+2x/x+1
a
Completely factor the polynomial. 100x 2 - 25
a
Completely factor the polynomial. 12x 2 + 2x - 4
d
Completely factor the polynomial. 4x 2 + 20x + 25
c
The volume of a cylinder of radius r and height h is given by V = π r 2 h. Then the height, in terms of the radius and volume, is given by:
d
Divide and simplify. 24a^3/35b^2 / 16a/14b^3
d
If f = {(2, 3), (5, 7), (3, 3), (5, 4), (9, 1)}, what is the range?
c
If f(x) = 2x 2 + 3, find f(3).
b
If f(x) = 4x - 3, what is f(x)-1?
d
If x varies directly with y and x = 2.5 when y = 10, find x when y = 16.
c
If x varies inversely with y and x = 4 when y = 8, find x when y = 16.
b
Jonathan is catering an event for one of his clients. He has a maximum of $200 to spend on appetizers. Crab cakes cost $2.25 per serving and chicken kabobs cost $1.25 per serving. At least 110 guests will be attending the event and, based on RSVPs 45 guests choose the crab cakes and 65 guests choose the chicken kabobs. How much money should Jonathon plan on spending on appetizers? (DOK 3)
b
Multiply and simplify. x-1/x^2+2x+1 x x^2-1/x+1
c
One number is six times another number. Their difference is 35. What are the two numbers?
bcd
Select all that apply. Which of the following are linear factors of p(x) = x 3 - 2x 2 - 5x + 6 ?
d
Simplify and re-write the expression with positive exponents. a^3b^-2c^4d/a^-2b^3c^2d^-3
b
Simplify the expression to lowest terms. 4x^2-9/2x^2+11x+12
c
Simplify the expression. 4x^2+10x-6/2x-1
b
Simplify. (x 3)4 · x -3
c
Simplify. 8 - 3(4 - 2x)
d
Simplify. x 3 ÷ x 5
a
Simplify. 7x-4+x/2x-1
b
Solve for T. B=RT-4/6
c
Solve for x. 2(x - 4) = 6(x + 2)
b
Solve for x. 3x - 5 < 7
a
Solve for x. x/4+ 6 = 10
a
Solve for x. |2x - 8| > 6
c
Solve for x. 3x+3/x-1=3x+2/x+4
d
Solve for x. 6x+2/5=8
a
Solve for x. x+2/3+2x-4/4=3
a
Solve the system of equations. 2x + 3y = 6 x + y = 4
a
Solve the system of equations. 4x - 4y = 10 3x + 2y = 5
c: y ≥ 3x - 2 and y ≤1/2 x + 3
The graph shows the solution for which inequalities?
b
The sum of two numbers is 30. Their difference is 6. What are the numbers?
b
Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work?
d
Two runners start 30 kilometers apart and run toward each other. They meet after 3 hours. One runner runs 2 kilometers per hour faster than the other runner. What rate do they run?
c: y = 3x - 3
What is the equation of line l?
b
What is the equation of the line that passes through (1, 3) and (-2, -3)?
b
What is the slope of the line 4x + 6y = 12?
c
What is the slope of the line passing through the points (4, -2) and (-5, 4)?
b
What is the y-intercept for the graph of this line? 3x - 5y = 6
b: 2x - 4 < 6 and 3x > 9
Which compound sentence has its solution set shown on the graph below?
b
Which graph shows the solution set for |x - 3| < 4?
b: graph
Which of the following could be the graph of y = x 3 - x?
c
Which of the following is a factor of p(x) = x5 - 4x3 - 2x2 - 4x?
b
Which of the following points is not collinear with (3, 6) and (-2, -9)?