Algebra

If (1 – 1.25)N = 1, then N =

If (1 3 + 1 4 + 1 5 + 1 6) = r (1 9 + 1 12 + 1 15 + 1 18) , then r =

The symbol ∆ denotes one of the four arithmetic operations:addition,subtraction,multiplication,or division,If 6∆3≤ 3 ,which of the following must be true ?

If m and p are positive integers and m 2 + p 2 < 100 , what is the greatest possible value of mp ?

What number is 108 more than two-thirds of itself?

If 1 x − 1 x + 1 = 1 x + 4 , then x could be

If √ 3 − 2 x = √ 2 x + 1 3 − 2 x − − − √ = 2 x − √ + 1 , then 4 x 2 =

− 2 (3 − x [ 5 + y − 2 x ] − 7 + 2 ⋅ 3 2) =

A certain fruit stand sold apples for $0.70eachandbananasfor$0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?

Which of the following equations is NOT equivalent to 10 y 2 = (x + 2) (x − 2) ?

y = k x + 3 In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ?

If the operation @ is defined by x @ y = √ x y x @ y = x y − √ for all positive numbers x and y, then (5@45)@60 =

(x + 1 x − 1) 2 If x ≠ 0 and x ≠ 1, and if x is replaced by 1/x everywhere in the expression above, then the resulting expression is equivalent to

If T = 5/9 * (K - 32), and if T = 290, then K =

If y (3 x − 5 2) = y and y ≠ 0 , then x =

A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

If 1.5 0.2 + x = 5 , then x =

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?

If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?