# ALGEBRAIC MANIPULATION PROBLEMS

Algebraic Manipulation Problems :

Worksheet given in this section is much useful to the students who would like to practice solving algebraic manipulation problems on SAT.

## Algebraic Manipulation Problems on SAT

Question 1 :

If thrice of A's age 6 years ago be subtracted from twice his present age, the result would be equal to his present age. Find A's present age.

Question 2 :

A number consists of two digits. The digit in the tens place is twice the digit in the units place. If 18 be subtracted from the number, the digits are reversed. Find the number.

Question 3 :

The width of the rectangle is 2/3 of its length. If the perimeter of the rectangle is 80 cm. Find its area.

Question 4 :

In a triangle, the second angle is 5° more than the first angle. And the third angle is three times of the first angle. Find the three angles of the triangle.

Question 5 :

If a number of which the half is greater than 1/5 th of the number by 15, find the number.

Question 6 :

If x > 0 and  x2 - 2x - 35  =  0, then find the value of :

2x2 + 7x + 5.

Question 7 :

If t < 0 and (t - 1)2 = 16, what is the value of t?

Question 8 :

Let "x" be a real number which satisfies the relations (2x-5)  > 2 and (3x+3) < 18. Which of the values can "x" take ?

(a) 4       (b) 5       (c) 6       (d) 7       (e) 8

Question 9 :

Calculate the fifth term of the sequence defined as

f(0)  =  2, f(n + 1)  =  2f(n) - 1 for n ≥ 0.

Question 10 :

Find the domain of the function :

f(x)  =  1 / (x + 3) We hope that the students will be able to solve the algebraic manipulation problems1 on SAT above.

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Profit and loss shortcuts

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Domain and range of rational functions

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Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

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