Math (1)
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Hard Algebra math
100
100
In isosceles triangle ABC above, AM and CM are the angle bisectors of angle BAC and angle BCA. What is the measure of angle AMC ?
110 degrees
100
If a โ 0 and (5/x) = (5 + a)/(x + a), what is the value of x?
5
100
The graphs of the functions f and g in the interval from x = -2 to x = 2 are shown above.Which of the following could express g in terms of f ?
G (x) = f(x) + 1
100
Which of the following points lies on the line 2๐ฅ+4๐ฆ=62x+4y=6?
A (-1,2)
B (-2,2)
C (2,8)
(-1,2)
200
On a car trip Sam drove m miles, Kara drove twice as many miles as Sam, and Darin drove 20 fewer miles than Kara. In terms of m, how many miles did Darin drive?
2m - 20
200
A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple?
1/5
200
The figure above is composed of 25 small triangles that are congruent and equilateral. If the area of ?DFH is 10, what is the area of ?AFK ?
42.5
200
In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?
Nine
200
The ratio of boys to girls in a school is 2:3. If there are 500 students in a school, how many boys are in the school?
A. 280
B. 200
C. 540
200
300
If x and y are positive integers, what are all the solutions (x, y) of the equation 3x + 2y = 11 ?
(1, 4) and (3, 1)
300
In the figure above, square RSTU is inscribed in the circle. What is the degree measure of arc ST ?
90 degrees
300
3x +2y+ 2z = 193x +y +z = 14
13. If the equations above are true, which of the followingis the value of y+z? ๏ฟฝ=+ z ?
5
300
If s, t, u, and v are the coordinates of the indicated points on the number line above, which of the following is greatest?
|s-v|
300
Which of the following expressions is equivalent to 5๐ฅ(4+2๐ฆ)5x(4+2y)?
A 20xy + 2xy
B 20x + 5xy
C 20x + 10xy
20x + 10xy
400
A companyโs profit, P, in dollars, for producing x machines in one day is given by P = 500x - 20x2. If the company produces 10 machines in one day, then, according to this formula, what is the profit for that day?
$3,000
400
If P and Q are two sets of numbers, and if every number in P is also in Q, which of the following CANNOT be true?
6 is in P, but not in Q.
400
A boat costs x dollars, and this cost is to be shared equally by a group of people. In terms of x, how many dollars less will each person contribute if there are 4 people in the group instead of 3 ?
X/12
400
On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated in the line graph above. Each unit on the vertical axis represents 1 foot. If the depth of the water decreased 10 percent from3:00 P.M. to 4:00 P.M., what was the depth of the water at 4:00 P.M.?
18 feet
400
If ๐ฆ=5๐๐+3๐3y=5ab+3b3, what is y when ๐=2a=2 and ๐=3b=3?
A 36
B 111
C 51
111
500
12 - n, 12, 12 + n
What is the average (arithmetic mean) of the 3 quantities in the list above?
12
500
What is the maximum number of rectangular blocks measuring 3 inches by 2 inches by 1 inch that can be packed into a cube-shaped box whose interior measures 6 inches on an edge?
36
500
if y = 2x+3 and x < 2, which of the followingrepresents all the possible values for y ?
Y < 7
500
I and II only
500
Two third of 15 is equal to 2525 of what number?
A. 25
B. 60
C. 12
25