Translate Expressions
Simplify & Factor Expressions
Monomials
Scientific Notation
100

The product of -12 and a number

-12n

100

18c - 49 + 1 - 2c

Simplified: 16c - 48

Factored: 16(c - 3)

100

Subtract 2m from -7m

-9m

100

(9 x 102)(3 x 106)

2.7 x 109

200

The difference between a number squared and 74

x2 - 74

200

-4k - 13 + 6k + 23

Simplified: 2k + 10

Factored: 2(k + 5)

200

x^8 * x^3

x^11

200

(5 xx10^8)/(8xx10^1)

6.25 x 106

300

45 more than half of a number

n/2 + 45

300

10w - 2(3w + 4) + 4

Simplified: 4w - 4

Factored: 4(w - 1)

300

 -9rs^2 * -2r^-5s^12 

(18s^14)/r^4

300

7 x 104 - 2.6 x 102

6.974 x 104

400

24 hours per day

24d

400

-4 + 2(8 - 5h) + 18h

Simplified: 8h + 12

Factored: 4(2h + 3)

400

(2p^4)^3

8p^12

400

California has a population of approximately 3.9 x 107 people while Wyoming has approximately 5.8 x 105 people. How many more people live in California than in Wyoming?

Problem: 3.9 x 107 - 5.8 x 105

Solution: 3.842 x 107 people

500

The sum of $5 per bowling game and rental fee for shoes

5b + s

500

12x - (7y - 8x) + 4x - 11y

Simplified: 24x - 18y

Factored: 6(4x - 3y)

500

 -9x^8y^3 * 4x^-2y^11 + 7x^6y^14 

-29x^6y^14

500

A factory manufactures 7.1 x 105 purses every month. How many purses are made every year? 

8.52 x 10purses

600

One third of a number decreased by 24

1/3n - 24

600

-7x + 2(x - y) - 3(4y - 5x)

Simplified: 10x - 14y

Factored: 2(5x - 7y)

600

 

(36m^25n^14)/(4m^7n^5)^3

 

(9m^4)/(16n)

600

Find the sum of 4.5 x 10-1 and the quotient of 7 x 10-4 and 8 x 10-3

Problem: 

(7xx10^-4)/(8xx10^-3) + 4.5 xx10^-1

Answer: 5.375 x 10-1

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