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Free Algebra Problems

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Introduction of Free Algebra 1 Problems:

Algebra is the division of mathematics in relation to the study of the rules of operations and relations, and the constructions and concepts arising from them, together with terms, polynomials, equations and algebraic structures. In algebraic expression represents a scale, what is done on one side of the scale with a Number is also done to the other side of the scale. The numbers are the constants. Algebra consist of real numbers, complex numbers, matrices, vectors etc Understanding Associative Property of Addition Example is always challenging for me but thanks to all math help websites to help me out.


Free algebra 1 problems examples:


Ex  1 :  A number increased by nine

Sol :     x + 9

Ex  2 :  The difference between a number and ten

Sol :     x – 10

Ex 3 : Three fourths of some number

Sol :   `3/4` x

Ex 4  :  The sum of a number and five

Sol:    x + 5

Ex  5 : Eighteen subtracted from some number

Sol :    x – 18

Ex  6 :  Five times the sum of a twice a number and three

Sol :     5 ( 2x + 3 ); 10x + 15

Ex 7 :  Eight times the difference between four and some number

Sol :     8 ( 4 – x ); 32 – 8x

Ex  8 :  Twelve more than the sum of a number and negative twenty

Sol  :     ( x + ( −20 ) ) + 12; x – 8

Ex 9 : Four times the difference between a number and six, decreased by fourteen

Sol :   4 ( x – 6 ) – 14; 4x – 38

Ex 10 : The sum of a number and eight is negative ten.

Sol :  => x + 8 = −10; −18

Ex  11 : The difference between seventeen and a number is twenty-five.

Sol :   =>17 – x = 25; −8

Ex  12 :  Eight less than four times a number is twelve.

Sol :  =>4x – 8 = 12; 5

Ex  -13 : Ten added to the product of two and a number is forty-two.

Sol :   =>2x + 10 = 42; 16

Ex 14 : Twenty subtracted from some number

Sol :    x - 20

Ex  15 : nine more than the sum of a number and negative ten

Sol :     ( x + ( −10 ) ) + 9; x - 1

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Free algebra 1 problems:

Q 1:  How many pounds of coffee worth 120 a pound must be mixed with 10 pounds of coffee worth 90 cents a pound to produce a mixture worth 1.00 a pound?

Q 2:  James has 20 ounces of a 20% of salt solution. How much water should he evaporate to make it a 30% solution?


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