Algebra Exponents Review

Graphing Linear Equations

100

What is the slope

Rise/ run  (difference of y / difference of x)

200

What can be said about two lines with the same slope?

parallel lines

300

Perpendicular Lines have what type of slopes 

opposite reciprocals 

400

What is Slope-intercept form

y = mx + b

500

What is the slope of a vertical line? What is the slope of a horizontal line? 

Vertical line = undefined

Horizontal line = 0

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

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

mult. exponents

100

rewrite using positive exponents

7^3•7^10

7^13

200

rewrite using positive exponents

11^7•11^24

11^31

300

Evaluate

(2/4)^2

1/4 or 4/16

400

rewrite using positive exponents

4/5•4/5•4/5•4/5•4/5

(4/5)^5

500

rewrite using positive exponents

(2^4 )^5

2^20

div. exponents

100

rewrite using positive exponents

4^8/4^3 

4^5

200

rewrite using positive exponents

12^11/12^7 

12^4

300

rewrite using positive exponents

(9^6•9^9)/9^11 

9^4

400

rewrite using positive exponents

(3/4)^25/(3/4)^20 

(3/4)^5

500

rewrite using positive exponents

s^17/s^11 

s^6

Negative exponents

100

rewrite using positive exponents

5^-7

1/5^7

200

evaluate

3^-4

1/81

300

rewrite

7^0

1

400

rewrite using positive exponents

7^(-9)/7^3 

1/7^12

500

rewrite using positive exponents

11^(-3)/11^4 

1/11

Common Bases

100

125 = 5^x

x = 3

200

Solve for x:

8^x = 32

5/3

300

3^x-7 = 27

x = 10

400

4^2x+3 = 4³

x = 0

500

5 ^{x + 6} = 125 ^{x - 4}

x = 9