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negative nine decreased by 3 times a number.; the difference of 3 and a number algebraic expression; the difference of three times a number and eight; the difference of 3 times a number x and 12 is -24; the difference of three times a number and 4 is -19; the difference of three times a number and 4 is −19; 2 times the difference of x and 3; the quotient of x and 3

Sagot :

a. negative nine decreased by 3 times a number

negative nine is -9.

Let a certain number be ' p '

3 times a certain number is 3p.

Hence, we can write this equation as -9 - 3p.

b. the difference between 3 and a number

Let a certain number be ' p '

Hence, we can write this equation as 3 - p.

c. the difference between three times a number and eight

Let a certain number be ' p '

3 times a certain number is 3p.

Hence, we can write this equation as 3p - 8.

d. the difference of 3 times the number x and 12 is -24

3 times a number x is 3x.

Hence, we can write this equation as 3x - 12 = 24.

e. the difference between three times a number and 4 is -19.

Let a certain number be ' p '

3 times a certain number is 3p.

Hence, we can write this equation as 3p - 4 = -19.

f. 2 times the difference between x and 3.

the difference between x and 3 is (x - 3).

2 times (x - 3) is 2(x - 3).

Hence, this equation is 2(x - 3).

g. the quotient of x and 3.

The quotient is obtained after the division of two numbers.

Hence, this equation can be written as x/3.

Read more about Algebraic expressions:

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The complete question is -

Interpret the following algebraic expressions.

a. negative nine decreased by 3 times a number

b. the difference between 3 and a number

c. the difference between three times a number and eight

d. the difference of 3 times the number x and 12 is -24

e. the difference between three times a number and 4 is -19.

f. 2 times the difference between x and 3.

g. the quotient of x and 3.

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