Math 1 Review

Factoring

100

Factor 

5x + 10

5(x +2)

200

Factor: 

3y-9

3(y - 3)

300

Factor:

4a+8b

4(a + 2b)

400

Factor:

x² + 3x

x(x + 3)

500

Factor:

6p -12q + 18

6 (p - 2q + 3)

Basic Translations

100

A number increased by seven is fifteenth, what is the X 

x+7=15  

x=8

200

Twice a number is equal to 24, what is Y 

2y=24

y=12

300

If 10 is subtracted from a number, the result is four. What is P

p-10=4

p=14

400

Half a number, minus three, is twelve what is X

 (x/2) - 3=12

x=30

500

The sum of a number and five is equal to the number multiplied by three. What is N

n + 5 = 3n

n= 2.5 

Factoring Quadratics

100

Factor:

x² - 9

(x-3)(x+3)

200

Factor:

x² - 4x - 5

(x-5)(x+1)

300

Factor:

x² + 5x + 6

(x+2)(x+3)

400

Factor:

x² + 8x + 16

(x+4)(x+4)

(x+4)^2

500

Factor:

2x² + 7x + 3

(2x+1)(x+3)

Probability

100

A coin is Flipped. What is the probability of getting Heads?

1/2

200

A spinner has 4 equal sections colored green, yellow, blue, and red. What is the probability of landing on Blue?

Probability on landing on Blue 

1/4 

300

A dice is rolled Once.  What is the probability of rolling an Even Number?

Probability of rolling an even number 

3/6 or 1/2 

400

In a class of 20 Students, 12 like pizza. If a student is selected Random, what is the probability that the student likes pizza? 

Probability of picking Pizza

12/20 or 3/5

500

A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball

Probability of picking red balls 

5/8 

Equations

100

6m + 2 = 2m -10

m = -3

200

2a + 6 = 4a - 8

a = 7

300

2x + 3 < 7

x < 2

400

4a + 2 <= 2a - 6

a <= -4

500

5m + 4 >= 2m - 2

m >= -2