Chapter 10 Test Review (MTH 100)

Rules for Exponents

100

Simplify:

(10x¹¹)(9x¹²)=

What is 90x²³?

200

Simplify:

(6a^10b^23c^9)/(2a^7b^12c^5)

What is 3a³b¹¹c⁴?

300

2/ (a^-13)

What is 2a¹³ ?

400

Simplify:

(2xyz)^-2

What is

1/(4x²y²z²)?

500

Simplify:

(xyz)^0(x^2y^4z^-3)

What is

(x^2y^4)/z^3

Scientific Notation

100

Covert to scientific notation 250,000

What is 

2.5 \times 10^5?

200

Covert to standard form

0.000000000456

What is 

4.56 \times 10^{-10}?

300

Simplify. 

((0.085)(41,000))/0.00017

Answer should be in scientific notation

What is 

2.05 \times 10^7?

400

Simplify. 

((11,100)(0.064))/((8000000)(3.70))

Answer should be written in scientific notation

What is 

2.4 \times 10^{-7}?

500

Simplify. 

(8600(3.0\times 10^5))/(1.5 \times 10^{-6}

Write the answer in scientific notation. 

What is 

1.72 \times 10^{15}?

Standard Form/Classifying

100

Classify the polynomial by the degree and number of terms:

2x³

Degree of 3, Monomial

200

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Degree of 2, Binomial

300

Classify the polynomial by Degree and Number of Terms

-6a⁴ + 10a³

Degree of 4, Binomial

400

Identify the coefficients in this polynomial

-10k³ + k +1

-10, 1

500

What is the degree of a constant? 

Zero

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(2x)(x + 2)

2x² + 4x

300

Multiply the Polynomials:

(-3m)(-4m - 6)

12m² + 18m

400

Multiply the Polynomials:

(4n - 1)(5)

20n - 5 

500

Multiply the Polynomials:

(6d)(d² - 4d + 1)

6d³ - 24d² +6d

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(25s³ + 15s) / 5s

5s²  + 3

300

Divide the Polynomials:

(3x⁴y² + 6x³y - 9x²y) / 3x²y

x²y + 2x - 3

400

Divide using polynomial long division given your answer in the form 

Q+R/D

(2x^3-2x^2+2x+6)/(x+1)

What is 

2x^2-4x+6?

500

Divide using polynomial long division and write your answer in the form 

Q+R/D

(6x^2-7x-2)/(2x-1)

What is 

3x-2-4/(2x-1)?