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31 Cards in this Set
- Front
- Back
- 3rd side (hint)
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PEMDAS |
Paranthesis Exponent Multiplication/Division (from left to right)-which comes first from left do that. Addition/Subtraction (from left ro right)-which comes first from left do that. |
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Simplify (x-1)/2 - (2x-1)/3
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First make denominator same. Answer is -(x+1)/6 |
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(x-4)^3 +11 = -6 |
x = 1 |
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What is factoring? |
Pulling out a common term and rewriting the expression as a product. ex: Factor t^2 + t Ans: t(t+1) |
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Listball possible solutions of (x-2)×(x-1) = 0 |
x = 2 or x = 1 |
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Factor x^2 - 9x + 18 |
(x-3)×(x-6) ANSWER FOR x IS TO REVERSE THE SIGN. x=3,6 |
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Solve for x: (x+1)×(x-2)/(x-4) = 0 |
x=-1,x=2,x !=4 |
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If 8 and -4 are the solutions for x then the equation is? |
(x-8)×(x+4) = 0 x^2 - 4x - 32 = 0 |
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Remember to reverse the sign to get value of x |
Ex: 16 - y^2 = 10(4 + y) Here how to find y? Rearrange it to be y^2 + 10y + 24 = 0 6×4 = 24 So (y+6)×(y+4)=0 now y is not 6 or 4 y is -6 and -4 |
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x^2 - 10x + 25 = 16 What is x? |
(x-1)×(x-9) = 0 x = {1,9} Another way shows only 9 (x - 5)^2 = 16 x - 5 = 4 x = 9 |
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x^2 -2x - 15 = 0 Is x>2 ? |
x = {5,-3} So this relationship cannot be determined. |
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Inequality multiplication and division. |
Multiplying or dividing by a positive number retains the inequality sign 2x>10 2x/2 > 10/2 x>5 Multiplying or Dividing by a negative sign reverses the inequality sign 2x>10 2x/(-2) > 10/(-2) x < 5 Try not to mult/div by a variable. As you dont know the sign of the variable. |
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Solve for x 6 × |2x + 4| = 30 |
|2x + 4| = 5 => -(2x + 4) = 5 and (2x + 4) = 5 => x = 1/2 or x = -(9/2) |
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Absolute value expressions |
1. Where variables are greater than some quantity will show up as two ranges in opposite direction in number line. ex:|x| > 4 2. Where variabled are less than some quantity will show up as a single range or line segment in number line. ex:|x + 3| < 5 |
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Manipulating compound inequalities |
Perform operations on a compound inequality as long as you remember to perform those operations on every term of inequality. ex: 1 > 1-ab > 0 => 0 > -ab > -1 => 0 < ab < 1 ex: Find x. -7 < 3 -2x < 9 |
-3 < x < 5 |
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If 0 <= x <= 3 and xy < 8, which could not be value of xy?
0 8 12 16 24 |
See hint. |
24See pg.94 Algebra Manhattan Prep. |
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-4 < a < 4 and -2 < b < -1. Which could not be value of ab? -3 0 4 6 9 |
See Hint. |
9 Page 95, Algebra, Manhattan Prep. |
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-4 <= m <= 7 and -3 <= n <= 10 max. value of m-n ? |
see hint. |
9 Algebra pg. 96 Manhattan |
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(x + 2)^2 <= 2-y max possible value of y? |
see hint. |
2 algebra pg.96 manhattan prep. |
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Simplify -3x + 7 <= 2x + 32 |
see hint. |
x >= -5 pg.103 algebra manhattan prep |
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If G^2 < G. Which could be G? 1 23/7 7/23 -4 -2 |
See hint. |
7/23 Manhattan alg. pg.103 |
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1 <= x <= 5 and 1 >= y >= -2 Is xy > -10 ? |
See Hint. |
The relationship cannot be deteemined. pg. 103 algebra manhattan prep |
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Strange symbol formula |
GRE introduces an arbitrary symbol, which defines a procedure. Symbol is irrelevant. Follow the procedure. ex: A ♢ B = A^B + B Find -2 ♢ ( 3 ♢ 1 ) |
20 algebra pg.111 manhattan prep |
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Formulas with unspecified Amounts |
When Tom moved to a new house, his distance to work decreased by 1/2 the original distance and the constant rate at which he travels to work increased by 1/3 the original rate. By what percentage has the time it takes Tom to travel to work decreased? |
62.5% Algebra pg.112 Manhattan prep. |
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If A = 7^n - 1, what is the units n digit of A ? 33 |
See Hint. |
6 Alg. pg. 115 Manhattan prep |
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If f(x) = 2x^2 - 4 and g(x) = 2x, for what values of x will f(x)=g(x) ? |
See Hint. |
x = {-1,2} Alg. pg.124 Manhattan prep |
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Length of a rectangle increased by a factor of 2, and at same time its area increased by factor of 6. With what factor did width increase? |
See hint. |
3 Alg. pg.124 manhattan prep. |
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Factor the following: 1. 4x^2 + 12x + 8 2. 2y^3 -10y + 12y |
See Hint. |
1. 4(x+2)(x+1) 2. 2y(y-3)(y-2) Use cross mentioned in above flashcard to solve this. Alg. Drill set 4 no. 19 and 20 |
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Solve -3x^3 + 6x^2 + 9x = 0 |
See hint |
x = {0,3,-1}
Alg. pg.133 manhattan prep. |
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If a,b,c are integers, such that a<b<c. Which is greater ac or ab |
See hint. |
Cannot be determined. Did you take into account negative values of a,b,c ? Alg. pg.153 prob. 1 Manhattan prep |
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Pg 153 Manhattan Set 1 |
Q. 1, 8, 14, 17, 18 |
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