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?
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
[A] 16 [B] 17.5
[C] 20.5 [D] 22 [E] 35
What is "A" 16?
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
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?
This is a factor of the polynomial 2x2 – 3x – 5.
[F] x – 1 [G] 2x – 3 [H] 2x – 5
[J] 2x + 5 [K] 3x + 5
What is "H", 2x - 5?
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] 7.9 [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)?
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?
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, this is the maximum number of pounds of sugar to be consumed by each track team member in the coming year.
[A] 14 [B] 44 [C] 48
[D] 54 [E] 66
What is 54?
A circle has a circumference of 16pi feet. What is the radius of the circle, in feet?
[A] 2.8 [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 3x2 – 2y exceed the value of 2x2 – 3y?
[F] 4 [G] 14 [H] 16
[J] 20 [K] 50
What is "G" 14?
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
What is "C", 1?
This is the distance from the origin to the coordinate point (1,1).
[A] 1 [B] 1.4
[C] 2 [D] 1.7
What is "B", 1.4
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?
After arranging the flower bed, Tyler decides that the flower bed would look more attractive if 1 of the angles in the triangle were a right angle. He decides to place the right angle at vertex A and to leave the lengths of AB and AC as 4 and 5 feet, respectively. To the nearest 0.1 foot, this is how long of a piece of lumber he would need to replace the 6-foot piece represented by BC .
[A] 3.0 [B] 3.3 [C] 6.0
[D] 6.4 [E] 7.8
What is "D", 6.4?
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?