Elem.Algebra
What is the value of x when 2x + 3 = 3x – 4 ?
A. –7 B. - 1/5 C. 1
D. 1/5 E. 7
What is "E" 7?
The greatest common factor of 42, 126, and 210 ?
F. 2 G. 6
H. 14 J. 21
K. 42
What is "K" 42?
In the complex number system, i2=-1. What does (4-i)(-2+5i) equal?
a. -3 +7i b. -3 + 22i
c. 3 + 7i d. -8i
e. -8 + 7i
What is "B" -3 + 22i?
This is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock.
A. 15° B. 30° C. 45°
D. 60° E. 72°
What is "B", 30 degrees?
This is the quadrant that the point (1,2) is located in. A. I B. II C. III D. IV
What is "A", I?
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
A. l = w + 3 B. l = w – 3 C. l = 2w + 3 D. l = 2w – 3 E. l=3 - 2w
What is D? (l=2w -3)
The number of irrational numbers between 1 and 6 ? F. 1 G. 3
H. 4 J. 10
K. Infinitely many
What is "F" infinitely many?
If a - b =14 and 2a + b = 46, then b = ?
f. 6 g. 16
h. 20 j. 30
k. 40
What is "F", 6?
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. This is the number of miles that the oil rig is from the departure point.
F. 3 G. square root of 63 H. 15
J. 21 K. 225
What is "H", 15?
In the standard (x,y) coordinate plane, these are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) .
A. (2,2) B. (2,4) C. (5,2)
D. (5,4) E. (5,5)
What is "A", (2,2)?
1.A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
A. $ 44.44 B. $109.08 C. $118.80
D. $408.04 E. $444.40
What is "D" $408.04?
An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. This is how many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner.
A. 4.2 B. 12.6 C. 14.0
D. 18.0 E. 21.0
What is "B", 12.6?
If x - y = 5 and x + y = 5, then y = ?
a. -5 b. 0
c. 1/5 d. 5
e. -1/5
B "What is 0 "?
3.A circle has a circumference of 16 pi feet. What is the radius of the circle, in feet?
A. square root of 8 B. 4 C. 8
D. 16 E. 32
What is "C", 8?
The following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?
F. x – y = 1 G. x + y = 25 H.x2 + y = 25
J. x2 + y2= 5 K. x2 + y2 = 25
What is "K", x2 + y2 = 25?
When x = 3 and y = 5, by how much does the value of 6x – 2y exceed the value of 4x – 3y ?
F. 3 G. -3 H. 5
J. 11 K. 8
What is "J" 11?
This is the x-intercept of the graph of
y = x2 – 4x + 4 .
A. –2 B. –1 C. 0
D. 1 E. 2
What is "E", 2?
If xy = 144, x + y = 30, and x > y, this is the value of x – y ?
F. 4 G. 6
H. 18 J. 22
K. 24
What is "H", 18?
This is the sine of 90 degrees.
A. 0 B. -1 C. 1
D. undefined. E. no solution
What is "C", 1?
This is the distance from the origin to the coordinate point (1,1).
A. 1 B. square root of 2 C. 2
D. square root of 3 E. 1.5
What is "B", square root of 2?
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, this is how much John pays for the DVD player .
A. $86.00 B. $77.60 C. $56.00
D. $50.00 E. $44.00
What is "C", $56.00?
If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?
F. 7 G. 10 H. 17
J. 19 K. 23
What is "K", 23?
The following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c .
A. a < n B. b – n > a – n
C. b < n D. n + b = a + c
E. 2n > a + b
What is "B", b - n > a - n?
Two angles are supplementary and have a ration of 1:4. What is the size of the smaller angle?
A. 36 B. 144 C. 18
D. 45 E. 72
What is "A", 36?
Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. This is the distance, in units, from the midpoint of BC to the midpoint of CD .
F. 18 G. 14 H. 12
J. 9 K. 6
What is "F", 18?