A11 Level 1 & 2 Review

Definitions

100

What is a ratio?

A way to compare two values, uses a colon

Ex. 2:3

200

What is a proportion?

A way to express two equal ratios, looks like a fraction

a:c = c:d 

a/b = c/d

300

Name this polynomial:

ax²+bx+c

Quadratic Binomial/Degree 2 poly w/2 terms

400

What does LCD stand for AND what does it mean?

Least Common Denominator

Essentially common denominator

500

What can a denominator never equal?

Zero

0

Factoring Polynomials

100

Factor this polynomial:

4x²+16

4(x+4)

200

Factor this Polynomial:

x²-49

(x-7)(x+7)

300

Factor this polynomial:

x²+7x+6

(x+1)(x+6)

400

Factor this polynomial:

x²+2x - 48

(x+8)(x-6)

500

Factor this Polynomial:

x²-16x+63

(x-9)(x-7)

Proportions

100

Solve this proportion:

a/10 = 3/5

a = 6

200

Solve this proportion:

8/4 = x-5/11

x = 27

300

Solve this proportion:

- 8/4 = x-3/x

x = 1

400

Solve this proportion:

5/4 = p+7/p-11

p = 83

500

Solve this proportion:

x-1/x-10 = 12/10 

x = 55

Ratios

100

Write this proportion as a ratio:

3/10

3:10

200

How do you say this ratio?

4:9 

"4 to 9"

300

Write this proportion as a ratio:

x+7/3 = 2/5

x+7:3 = 2:5

400

Write this proportion as a ratio:

x-8/x+9 = 2/3

x-8:x+9 = 2:3

500

Write this proportion as a ratio

x²+4x / 35 = (x+7)/(x-9)

x²+4x : 35 = (x+7):(x-9)

Least Common Denominator

100

Find the Least Common Denominator:

1/2 + 3/4

2/4 + 3/4

200

Find the least common denominator:

1/x + 1/2x

2/2x + 1/2x

300

Find the least common denominator:

1/xy + 1/4y

4/4xy + x/4xy

400

Find the least common denominator:

7/ 2x⁴y²  + 9/4xy

14/4x⁴y² + 9x³y/4x⁴y²

500

Find the least common denominator:

5/7x⁵y³ + 2/3xy

15/21x⁵y³ + 14x⁴y²/21x⁵y³