Converting
Simplifying
Expanding
Factoring
Other
100

Convert into a fraction: 

0.45

45/100 

= 9/20

100

Simplify this fraction:

20/70

2/7

100

Expand:

2(5x + 7)

10x + 14

100

Factor:

2x + 6

2(x + 3)

100

Solve:

-5.8 + 3

2.3

200

Convert into a decimal:

5/2

5/2 = 2 1/2 = 2.5

200

Simplify this fraction:

35/63

Divide both sides by 7

= 5/9

200

Expand and combine:

3(4x + 6) + 3

12x + 18 + 3

= 12x + 21

200

Factor:

2x + 6y + 2

2(x + 3y + 1)

200

Solve: 

-3.4 - 0.5

-3.4 + (-0.5)

= -3.9

300

Convert into a fraction:

2.15

215/100 = 43/20

300

Combine and simplify:

4.8x + 3/2x

4.8x + 1.5x 

= 6.3x

300

0.2(5h + 1)

1.0h + 0.2

300

Factor: 

-x - 3

-x + (-3)

-1(x + 3)

300

Rewrite this expression using invisible math and KCF:

4x - 3 - 6x - 7

4x + (-3) + (-6x) + (-7)

400

Convert into a decimal:

9/24

9/24 = 3/8

3/8 = 0.375

400

Combine and simplify:

4a + 2 - 3a - 5

4a + 2 + (-3a) + (-5)

= 4a + (-3a) + 2 + (-5)

= 1a + (-3), or just 'a - 3'

400

1/3(6x + 15)

2x + 5

400

Factor:

4a + 12b - 20c

4(1a + 3b - 5c)

400

In 1954, gold was priced at '0.5x + 120' dollars per ounce. In 1987, that price tripled, and then doubled in 1992. What expression models the price of gold in 1992?

2 * 3(0.4 + 120)

= 6(0.4 + 120)

500

Solve (Show your answer as a fraction):

2/3 + 0.5 = 

2/3 + 1/2 = 4/6 + 3/6 = 7/6

500

Combine: 

0.6x + 3 - 1/4x

0.6x + 3 - 0.25x

= 0.35x + 3

500

Distribute:

0.5(1/4 - 8x)

1/2(1/4 - 8x)

1/8 - 4x

500

Factor:

-4x - 12

-4(x + 3)

500

The width of a rectangle is 3x inches wide. The length of the rectangle is 2 feet longer than the width. In terms of 'x', what is the perimeter?

P = 2L + 2W, where W = 3x; L = 3x + 2

P = 2(3x + 2) + 2(3x)

= 6x + 4 + 6x

= 12x + 4