A. 6x + 4y = 7 B. 3x 2y = 3 C. 6x 4y = 1 D. 3x 3y = 4 E. 3x + 2y = 5

Size: px

Start display at page:

Download "A. 6x + 4y = 7 B. 3x 2y = 3 C. 6x 4y = 1 D. 3x 3y = 4 E. 3x + 2y = 5"

Polly Stokes
5 years ago
Views:

1 Dr Numsen High School Mathematics Practice Test February 07. Evaluate: ( 5) 0! [( 9) ] Max buys a dozen tacos, three burritos, and six tostados. Tacos cost $.5 each; burritos cost $.5 each; tostados cost $.0 each. He paid with two twenty-dollar bills. How much does he have left? $.5 $5.95 $.5 $7.5 $7.5. If (ax + )(x a) = 7x + bx + c, then b + c = Find the equation of the line shown. y x x + y = 7 x y = x y = x y = x + y = 5 5. Lisa has some lollipops. She gives 0% to Bart. Of the remaining, she then gives 5% to Milhouse. Of the remaining, she then gives % to Marge. Each of Bart, Milhouse, and Marge received the same number of lollipops. If Lisa has lollipops left, how many lollipops did she start with? How many subsets of the set {n, u, m, b, e, r} contain the element n? 7. The points (, 7), (, ), and (, k) are collinear. Find k

2 Practice Test February 07 Page. Solve for x in terms of y: x = 5y x = 9y 5y 7 x = y x = 7 y x = 5 7y x = y 9. Find the volume of the isosceles trapezoidal prism ( ) 7 = Today, a trucker drove hours minutes and covers 5 miles. Tomorrow, he needs to travel 0 miles and must arrive at 5:00pm. Assuming he breaks for 0 minutes to eat lunch, but otherwise can average the same speed as today, what time should he leave? (Round.) :am :am :5am 9:0am 9:9am. Which of the following does not represent y as a function of x? I. x = y II. x + y = III. x y = IV. x + y = All I, II, and IV II and IV I and IV II and III. If a + bi and a bi are the two complex roots of x + x + = 0, with b > 0, what is a + b? 0. The sum of the coefficients of the nd and rd terms in the expansion of (x + 5) is If k = 5 k, then k =

3 Practice Test February 07 Page. If f(x) = x + 5 and g(x) = 7x, then f ( g(x) ) + g ( f(x) ) = 0x + 0 x + x + 0 x + x Find the remainder when (x 7x + x 5x + ) is divided by (x ) A pipe is a right circular cylinder. Its diameter is inches and its height is feet. How many gallons does it hold? (Round.) Let T n be the nth triangular and S n be the nth square number. Find the value of T + T 9 + S. T S T 5 S 5 T 0. Given the circle, if m > STP = (m > PR), m > RS = m > TP, and m > PR = m > RS. Find m TQS. R P Q S T. lim x x x = does not exist. Find the range of y = sin [ π (x )] +. [ 5, ] [, ] [, ] [, 7] [ 7, 5]

4 Practice Test February 07 Page. If sin θ = and tan θ < 0, find cos( θ).. If a =, a =, a = a n + a n, for n, find a a 5 + a According to Descartes Rule of Signs, how many possible negative roots does f(x) = x 7x + 5x + 7x + have? or 0,, or 0 or. The parabola y = ax + bx + c has a vertex of (, ) and an x-intercept of. Find a + b If f(x) = x x + 7, find f (5). 7. BE CD, AB =, AC = 0, and AE =. Find E A B E 9 0 C D 9. What graph is produced by the polar equation r = sin θ? dimpled limaçon limaçon with inner loop cardioid spiral circle

5 Practice Test February 07 Page 5 0. If f(x) = x x +, then f () =. A wheel with equal sectors is spun. On the wheel are the numbers through. What is the probability of spinning two prime numbers in a row? in base is equal to what base fraction? The intersection of the medians of a scalene triangle is called the. orthocenter centroid circumcenter incenter Gergonne point. How much should be invested at.5% compounded quarterly over 5 years to have a total of $000.00? $5.9 $. $9.75 $70.50 $ What is the smallest prime q where p and q = p + are both prime, but q is not a Germain prime? Find the equation of the ellipse shown. y x 5x + y = 00 x + 5y = 00 5x + 9y = 5 9x + 5y = 5 x + 9y =

6 Practice Test February 07 Page 7. Let r and s be the roots of 5x x + 5 = 0. Find r s + r s + rs (n + )!. How many integral values of n exist such that n and 00? n! 5 9. Bob can lay 00 ft of carpet in 0 minutes. Tim can lay 0 ft of carpet in 5 minutes. How long will it take them working together to lay carpet in three rooms: ft by ft, 0 ft by 0 ft, and 5 ft by ft? (Round.). min.7 min.7 min.9 min. min 0. Find the largest angle of the triangle whose vertices are (, ), (5, 7), and (, 5). (Round.). If k 5 k = and k < 0, then k = 5 7. If log (x + ) log (x) =, then x =. Find the area bounded by the curve y = x x and the x-axis.. If A x + + B x = x x x, then A + B = 0

7 Practice Test February 07 Page 7 5. The pattern continues. Find the sum of all entries in Rows 5 through. Row : Row : Row : 5 Row : Find the directrix of the parabola (y ) = (x + 7). y = y = x = 9 x = 5 x = 7 7. The function f(x) = x x x has a removable discontinuity when x = x 7 7. The function f(x) = x x + 7 has an inflection point at (h, k). Find h If k k+ k+ = 9, find (k )/ A boat leaves port and sails. miles at a bearing of 7. Then, it turns and sails 7.9 miles at a bearing of. What bearing should the boat travel to return to port? (Round.) The dot product of the vectors, k and k, 5 is. Find the magnitude of the vector, k The center of a circle is (, ). The point (, 0) lies on the circle. Find the area of the segment of the circle above the x-axis. (Round.)

8 Practice Test February 07 Page 5. Sound intensity is power of sound per area. The basis of intensity is related to the threshold( of hearing, ) I 0 = 0 W/m I. The formula for intensity I is relative to the sound level L by L = 0 log, where I 0 L is measured in decibels. How many times more intense is a sound of level 0 db than a sound of level db? (Round.) How many zeros are at the end of the number (5!) (5!) when written out? Find the smallest positive solution to sin (x) + sin(x) + = 0. π π π 7π 5π 5. If x y = 5, find dy dx. x y x y x y x y x y 57. What is the y-intercept of the slant asymptote of f(x) = x x? x A hockey team has forwards, wingers, and 7 defensemen. Not counting the goaltender, the team can put 5 players on the ice. How many combinations of forward, wingers, and defensemen can be created? How many solutions to the equation x+y+z = 5 exist with x, y, z non-negative integers with x y z? The parabola y = x + x + is tangent to the line y = x at (h, k). Find h. 7

C. 3 D. 3. The 12th term in the Fibonacci characteristic sequence 2, 3, 5, 8, 13,... is A. 610 B. 377 C. 233 D. 144 E. 269

C. 3 D. 3. The 12th term in the Fibonacci characteristic sequence 2, 3, 5, 8, 13,... is A. 610 B. 377 C. 233 D. 144 E. 269 Dr Numsen High School Mathematics Practice Test Set F Test. ( ) ( ) = 0. The slope of the line x 8 y = is. The th term in the Fibonacci characteristic sequence,, 5, 8,,... is 60 69. At a computer equipment