Cluster one Review!

Multi-step equations

100

−8x + 32 = 4(−2 − 4x) 

x=-5

200

−1 + 3(x + 2) = 5+10x

x=1/7

300

6(1 + 2k) − 6k = −3(−8k + 4)

K=1

400

1/4(12x+8)=2x-3

x=-5

500

2(1 + 6x) + 2(3 − 6x) = 7x − 5x

x=4

Inequalities

100

Solve and graph: x+6x≥ 4+6x

x≥ 4

200

Solve and graph: 1 + 2m ≥  8 + m

m≥ 7

300

Solve and graph: 3(p-3)-5p>-3p-6

x>3

400

Solve and graph: 1/2(6x-12)≤4x+3

x≥ -9

500

Solve and graph: -1/4(44y-4)<6y+18

y>-1

Literal equations

100

Solve for a

g=ca

a=g/c

200

Solve for a

a-c=d-r

a=d-r+c

300

Solve for a

u= ak / b

a=ub/k

400

Solve for a

g=ca-b

a=(g+b)/c

500

Solve for h

A=1/2bh

2A/b

Identifying functions

100

Is the following a function?

x y

1 4

2 8

3 12

4 16

yes

200

Are the following points a function? If so, is it a one to one or a many to one?

(1,0), (0,1), (-1,3), (2,0), (4,10) , (5,3)

Yes, many to one

300

Identify the domain of the following relation

x y

1 10

4 27

6 18

9 15

{1,4,6,9}

400

What is the range of the following data set

1 10

2 19

3 12

4 17

{10,12,17,19}

500

(I will draw a parabola graph on the board)

Identify the domain and range 

Domain: -4≤ x≤ 3

Range:  -6≤ x≤ 10

Rate of change

100

Find the rate of change between the two following points

(10,8) and (4,12)

-2/3

200

Find the rate of change between the two following points

(-7,-5) and (4,8)

13/11

300

Jill is running laps around a track. The following is her running rate per each lap. Find the rate of change from lap 1 to lap 4

lap#  time(in minutes)

1        4

3        8

4        12

8/3

400

Use the table below to find the average rate of change in the temperature from 7am to 1pm(consider this the 13th hour of the day).

7am 65 degrees

9am 75 degrees

10am 81 degrees

1pm 89 degrees

4 degrees per hour

500

Use the table below to find the average rate of change in the cost of a candy bar from 1951 to 2000.

1951 22 cents

1956 52 cents

1986 68 cents

2000 79 cents

57/49 cents