INTEGERS
RATIOS & PROPORTIONS
EXPRESSIONS
EQUATIONS
Combining like terms
100

(-5)*7

-35

100

There are 28 women and 21 men. What is the ratio of men to women? Simplify your answer. 

Men : women = 21 : 28 = 3:4

100

40-5+2

37

100

24 + 88y

24/8  + 88y/8 = 8(3+11y)

100

2 + 4c - 2c - 5 + c

Combine like terms:

3c - 3

200

354/2

177

200

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

3 boys/2 girls = 12 boys/ girls,  2*4= 8, There are 8 girls

200

5y+3

8

200

 v / 8 = 2 

 v/8*8= 2*8   v=16

200

y + y + x + y

x + 4y

300

141+(-205)

-64

300

the ratio of doctors to lawyers is 5:4. If the total number of people in the group is 72, what is the number of lawyers in the group?

the number of doctors be 5x and the number of lawyers be 4x.

Then 5x+4x = 72 → x=8.

So the number of lawyers in the group is 4*8 = 32.

300

5-7+4*2

6

300

3h - 5 = 22    

  3h - 5+5 = 22  +5   3h/3=27/3  h=9

300

-x - 1 - x - 1

-2x - 2

400

-506-(-201)

-305

400

the ratio of chocolates to ice-cream cones in a box is 5:8 and the number of chocolates is 30, find the number of ice-cream cones.

Let the number of chocolates be 5x and the number of ice-cream cones be 8x.

5x = 30 → x = 6.

 number of ice-cream cones in the box = 8*6 = 48.

 

400

5a-7y+9a

14a-7y

400

h / 4 + 1 = 9

  h / 4 + 1-1 = 9-1  h/4*4=8 *4   h=32

400

Evaluate when x=10

100x + 5 - 5x + 5

960

500

16% of 744

119.04

500

In grade 5 class, there are 20 boys and 28 girls. What is the ratio of the numbers of girls to the number of boys?


The ratio of the numebr of girls to boys. 

= 28 : 20

= 28 / 20

= 7 / 5

= 7 : 5

500

6s+82s

88s

500

2x + 8 = 16

  2x - 8 + 8 =16 - 8   2x/2 = 8/2  x=4

500

4x^2 + 2x + 7 - 6x^2 + 3 - 5x

combine like terms:

4y^2 + 2x + 1y

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