need help with variables,constants and terms and expressions. Please help asap.thanks in advance?

Question

1.identify the variables,coeffients and constants in the expression -6x-xy+60.
2. Jen takes 7 mins.more to complete an illustration than Jon. The total time taken by both of them is 6 hours. Form an algebraic expression to express this and identify the variable, constant and coeffient of the expression.
3.simplify the expression 7x^2-4y+3x^2+5y+2 and evaluate it for x+3 and y=9. identify the variables,constants and coefficients in the simplified expression.
1. what # is 15%of108?
2. the sum of three consective even #s is 144;what are the numbers?
3. a man buys 5 dvds for $66.34,including 7% sales tax. how much did ea.dvd cost?
4. the area of a rectangle is 45 square cm. if the length is 4cm greater than the width, what are the dimension of the rectangle?

Answer 1

1. Coefficients are usually given as numbers that multiply variables.

-6 is a coefficient of x
-1 is a coefficient of xy

Variables are the "unknown" values.

Given no other information than the equation......your variables would be x and y.

Contstant is a number that would do the same thing to the equation each time.

In this case +60 is constant.

terms are anything seperated by + or - signs.

expression is statement without the equal sign.

2. Let x by Jon's time (min) to complete illustration. x+7 is Jen's time. x+(x+7)=360 min 2x+7=360. Variable is jon's time. constant would be 7 min and coefficient is 2.
+1y
3. 10x^2-4y+5y+2
variables are x and y
constant is +2
coefficients are 10, +1


Recall PEMDAS. x=3 gives.....


63-4y+27+5y+2
92+y
101

4. 10% is found by decimal one place left.... 10.8 and 5% is half of 10% so 5.4 .......15% is 16.2

5. What is an even #? anything times 2 correct?

so first even is 2n next number is 2n+2 and next is 2n+4.
so 6n+6=144 6n=138, n=23 so 46+48+50=144

6. write an equation for your situation and solve for the variable. if you go to walmart....how do they find the total sale of 5 dvd's?

5(x) +.07(5x)=66.34. assuming each cd is same price.
5.35x=66.34
x= 12.40 so each dvd was 12 dollars and 40 cents.

7. Area is length times width for rectangle. w=w l=w+4

w^2+4w=45 w^2+4w-45=0
thus (w+9)(w-5)=0
we can throw out w+9 because a negative width is not possilble.......w=5, l=9

Answer 2

1) x and y are variables

2) just 'write' the information given using 'math language'.

Let T equal the time for Jon to illustrate, then T + 7 equals the time needed for Jen to illustrate. Since the total time for both illustrations is 360 minutes (6 hours), then T + T +7 = 360. Simplifying yields: 2T = 353, thus T = 353/2

Answer 3

1. the letters are variables, so x and y
the number in front of a letter is the coefficient. so 6
the number on its own is a constant, so 60

2. let n be the smallest number
n + (n+2) + (n+4) = 144
3n + 6 = 144
3n = 138
n = 46
the numbers are 46,48,50

Answer 4

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