if a>0, then 1/a +3/4 is equivalent to which of the following.
A) (3+4a)/4a
B) (4+3a)/4a
C) 7/4a
D) a/(a+4)
B, (4+3a)/4a
if 3x+1 = -8, what is the value of (x+2)3
-1
if 3a+1 = 3-a+7, what is the value of a
3
if 3x = 10, what is the value of 3x-3
10/27
if x2 + 7 = 21, then what is the value of x2 + 3
A) 14
B) 17
C) 28
D) 31
B, 17
if a+b =-2, then (a+b)3 =
A) 4
B) 0
C) -4
D) -8
D, -8
if x is 50% larger than z, and y is 20% larger than z, then x is what percentage larger than y?
25%
Serkan got 50% of the questions correct on a 30-question test and 90% on a 50-question test. what percentage of all questions did he get correct?
75%
if 8+5x is twice x-5, then what is the value of x?
A) -6
B) -3
C) -7/3
D) -2
A, -6
if (2x+3)(ax-5)=12x2+bx-15, for all values of x, what is the value of b
A) 6
B) 8
C) 10
D) 12
B, 8
what is one possible solution for (12/x+2)-(2/x-2)=1
6 or 4
if (x+3y)2= x2 + 9y2 + 42, what is the value of x2y2
49
3x-5y=8
mx-ny=32
in the system of equation above, m and n are constant. if the system has infinitely many solutions, what is the value of m+n
32
y+3x=0
x²+2y²=76
if (x,y) is the solution for the system above and y>0, what is the value of y?
6
y=x2+1
y=x-1
How many solutions does the system above have?
zero
A restaurant has two types of tables, rectangular ones that can each seat 4 people and circular ones that can each seat 8 people. if 144 people are enough to fill all 30 tables at the restaurant, how many rectangular tables does the restaurant have?
24
Albert is 7 years older than Henry. In 5 years, Alberrt will be twice as old as Henry. How old is Albert now?
9 years old
Mahmood has 20 football cards, and Ashad has 44 baseball cards. They agree to trade, such that Ashad gives Mahmood 2 baseball cards for every card Mahmood gives Ashad. After how many such trades, will Ashad and Mahmood have an equal amount of cards?
12
At a store, the price of a tie is k dollars less than three times the price of a shirt. if a shirt cost $40, and a tie cost $30, what is the value of k?
90
Nour, Maral and Kashaf all collect seashells. Maral has half as many seashells as Kashaf. Nour has three times as many seashells as Maral. If Nour and Maral have 60 seashells altogether, how many seashells does Kashaf have?
30 seashells