Algebra

GMAT Algebra is less about solving equations and more about choosing the fastest route: simplify first, substitute smart numbers, or backsolve from the answer choices. This set covers linear and quadratic equations, exponents and roots, functions, and algebraic translation from word problems. Watch for the classic GMAT moves — differences of squares in disguise, equations that share a common factor you should not cancel blindly, and expressions that beg to be factored rather than expanded.

Equations, exponents, absolute value.·Show:20 30 50

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Sub 505 (Easy)

If f = 3 r (s 1000) 2 and s = 2000 , what is r in terms of f ?

Sub 505 (Easy)

If p â 0 and p â (1 â p 2) p = r p , then r =

Sub 505 (Easy)

If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

555-605 (Medium)

Which of the following equations has 1 + â2 as one of its roots?

Sub 505 (Easy)

If 5 â 6 x = x , then x has how many possible values?

Sub 505 (Easy)

If s > 0 and r s â = s , what is r in terms of s ?

Sub 505 (Easy)

Which of the following expressions can be written as an integer?

505-555 (Easy)

If x/y = c/d and d/c = b/a, which of the following must be true?

505-555 (Easy)

If k and n are positive integers such that n > k, then k ! + (n â k) * (k â 1) ! is equivalent to which of the following?

505-555 (Easy)

According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours past 2:00 in the morning is given by N (t) = â 20 (t â 5) 2 + 500 for 0 â¤ t â¤ 10 . According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?

Sub 505 (Easy)

If mn â 0 and 25 percent of n equals 37 1 2 percent of m, what is the value of 12 n m ?

Sub 505 (Easy)

If z â 0 and z + 1 â 2 z 2 z = w z , then w =

Sub 505 (Easy)

If (1 â 1.25)N = 1, then N =

505-555 (Easy)

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

505-555 (Easy)

The symbol â denotes one of the four arithmetic operations:addition,subtraction,multiplication,or division,If 6â3â¤ 3 ,which of the following must be true ?

555-605 (Medium)

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

Sub 505 (Easy)

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

Sub 505 (Easy)

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

705-805 (Hard)

If â 3 â 2 x = â 2 x + 1 3 â 2 x â â â â = 2 x â â + 1 , then 4 x 2 =

Sub 505 (Easy)

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

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