Alg 1 Prestige Winter

Linear Equations

100

4(2x−3)−5=3x+7

4

200

3/4(x−8)+6 = x/2

0

300

5−2(3x−4)=4x−(2−x)

1

400

7(x−2)+3=7x−11

infinite solutions

500

(2x+1)/3 - (x-4)/2 = 5x/6 

5

System of Equations

100

2x+y=11

y=x−1

4,3

200

4x+3y=1

2x−3y=11

3, -11/3

300

3x+2y=7

6x+4y=14

same line

400

3(x−2)+2y=4

2(x+y)=x+10

0,5

500

x/2 - y/3 =1

x/4 + y/2 = 5

13/2, 27/4

Factoring

100

x²−9x+14

(x−7)(x−2)

200

2x²−7x−4=0

x=4,x=−1/2

300

x(x−5)=12

5+-sqrt73/2

400

−5t²+20t+3=15

2+-sqrt10/5

500

x³−4x²−7x+28=0

4, +-sqrt7

Fun

100

A number increased by 7 is equal to 3 times the number minus 5.

Find the number.

6

200

The sum of two consecutive integers is 47.
Find the integers.

23,24

300

A movie theater sold 210 tickets. Adult tickets cost $12 and student tickets cost $8.
The total revenue was $2,160.
How many adult and student tickets were sold?

a=120

s=90

400

A rectangle’s length is 4 more than twice its width.
The area of the rectangle is 96 square units.
Find the dimensions.

w=6,l=16

500

Two cyclists leave the same point at the same time and travel in opposite directions.
One cyclist travels 3 mph faster than the other.
After 4 hours, they are 92 miles apart.

Find each cyclist’s speed.

10,13

Random

100

Which country has the largest population in the world?

India

200

If you spell “silk” out loud, what do cows drink?

water

300

What animal can hold its breath longer than a dolphin?

a sloth

400

A man pushes his car to a hotel and tells the owner he’s bankrupt.
Why?

He’s playing Monopoly

500

What does this word mean?

Hippopotomonstrosesquipedaliophobia

fear of long words