Test 4.1 Review

Transforming Formulas

100

Solve the formula for the surface area of a cylinder.

s=2πrh

h=s/(2π r)

200

Solve the following formula for h:

s=2πrh+2πr²

(s-2πr²)/2πr

300

Solve the following formula for y:

m=(x+y)/2

y=2m-x

400

Solve the following formula for F:

C=(5/9)(F-32)

F=(9/5)C+32

500

Solve the formula given for n:

l=a+(n-1)d

[(l-a)/d]+1=n

Factoring Integers

100

Find the prime factorization for 200

2³ x 5²

200

Find the prime factorization for 98

2 x 7²

300

Find the GCF of :

66, 90

6

400

Find the GCF of 10, 100, 1000

10

500

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make? And how many red and yellow flowers will she put in each bouquet?

8 bouquets; 2 reds and 3 yellows

Dividing Monomials

100

Find the missing factor:

32x⁶=(4x²)(  ?  )

8x⁴

200

Simplify

18x⁴/12x³y

3x/2y

300

Find the GCF of:

20ax³,30abx

10ax

400

Simplify

(-t⁴)³/(-t²)⁵

t²

500

Find the GCF of:

25p²q³, 15p²q², 35pq⁴

5pq²

Dividing Polynomials

100

Divide

(16y-12)/2

8y-6

200

Divide

(24mn-16n)/8n

3m-2

300

Divide

(4u³+10u²-6u)/2u

2u²+5u-3

400

Divide

(pq³-p³q)/pq

q²-p²

500

Simplify

(30p⁴q-45p³q²+15p²q³)/5p²q

6p²-9pq+3q²

Factoring PolynomialsGCF

100

Factor

16a-8b+12

4(4a-2b+3)

200

Factor

9s³+15s²

3s²(3s+5)

300

Factor

22y⁴-33y³+11y²

11y²(2y²-3y+1)

400

Factor

4x²y-16xy²

4xy(x-4y)

500

Factor

5ax²+10a²x-15a³

5a(x²+2ax-3a²)