Variables
Graphing
Factoring
Factoring (solving)
Word Problems
100

3x - 4 = 5

x = 3
100

Find the equation:
P(2, 3), m =1

x + 1 = y

100

Simplify:

3z2 x 2z3

6z5

100

Solve :

(x - 1)(x - 4) = 0

x = {1, 4}

100

For the Hawks' 80 basketball games next year, you can buy separate tickets for each game for $9, or you can buy a season ticket for $580. At most, how many games could you attend at the $9 price before spending more than the cost of the season ticket? 

At most is 64 games. 

200

2k - 1 = k - 5 + 3k

k = 2

200

Find the equation:

(3, -2), (-2, 3)

y = -x + 1

200
Simplify: 


t(nn-2 + tn + tn +1)

tn + tn+1 + tn + 2

200

Solve:

z2 + 3 = 4z

z = {1, 3}

200

Jeannie's scores on her first 4 tests were :
80, 65, 87, and 75. What will she have to score on her next test to obtain an average of 80 of the term?

She will have to score 93 or more on her test to get an 80 for the term

300

3(x - 2) - x = 2(2x + 1)

x = -4

300

Find the answer to the system of equations:

2x - 7y = 10
5x - 6y = 2

(-1, 3)

300

Simplify:

16x3 - 64x2

16x2(x - 4)

300

Solve: 

6(x + 12) = x2

x = {-6, 12}

300

A rectangle is 4cm longer than it is wide, and its area is 117 cm2. Find its dimensions

9cm by 13cm

400

(6x - 2(x - 4))/3 = 8

x = 4

400

Graph the system of inequalities:

x + y > 0
x - y <= 0

Look at desmos

400

Factor: u2 - 8uv - 12v2

Prime

400

Solve. Find all double roots

x4 - 2x2 + 1 = 0

x = {-1dr, 1dr}

400

The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than the other. Find the length of each leg.

15m and 20 m

500

z3 - 4z2 + z + 6 = {0, 2, 3}

z = {0, 2}

500

Graph the system of inequalities:

x - 2y + 2 >= 0
x + 2y - 2 >= 0

look at desmos 

500

Factor: 6x2 + 7x - 10

(6x - 5)(x + 2)

500

Solve. Find all double roots :

(u - 2)3 - 3u + 8 = 0

u = {0, 3dr}

500

The telephone company offers two types of service. With Plan A, you can make an unlimited number of local calls per month for $18.50. With Plan B, you pay $6.50 monthly, plus 10 cents for each min of calls after the first 40 min. At how many min. would you have to use the telephone each month to make Plan A the better option?

At least of 160 min.