Unit 1

Find the discriminant

100

4x²+7x-3=0

What is 97? 

200

6x²-5x-4=0

What is 121? 

300

3x(x-2)+5=0

What is -24? 

400

2x²+4x=7-x

What is 81? 

500

(2x-3)(x+4)=5

What is 161? 

Factoring Quadratics

100

6x²+12x

What is 6x(x+2)? 

200

x²+7x+10

What is (x+5)(x+2)? 

300

3x²+15x+18

What is 3(x+2)(x+3)? 

400

6x²+11x+3

What is (3x+1)(2x+3)? 

500

-4x²+12x-8

What is -4(x-1)(x-2)? 

Quadratic Formula

100

x²-9x+20=0

What are 4 and 5? 

200

x²-4x-1=0

 What is 2 + - square root of 5 ? 

300

x²+6x+13=0

What is -3 + - 2i ? 

400

2x²+3x-7=0

What is -3 + - square root of 65, and divided by 4 ? 

500

3x²-2x+5=0

What is 1+- square root of 14 with i, divided by 3 ? 

Solve system of quadratic & linear

100

y=x²-4

y=x

teacher provides 

200

y=x²-5x+6

y=x-2

(4,2) and (2,0)

300

y=x²-3x

2x+y=0

(0,0) and (1, -2) 

400

y=x²+x-1

y=(3x+1)/2 

(1,2) and ( -3/2, -7/4)

500

y=x²-2x-3

x+y=3

(3,0)and(-2,5)

system of equation word problems

100

A school play sold 50 tickets total. Student tickets cost $5 and adult tickets cost $8. The total money collected was $310.

Write a system of equations to represent the situation.

x+y=50

5x+8y=310

200

A jar contains only quarters and dimes. There are 60 coins total. The total value is $12.75.

Write a system of equations to represent the situation.

x+y=60

0.25x+0.10y=12.75

300

A store owner mixes peanuts that cost $4 per pound with cashews that cost $7 per pound. She wants to make 30 pounds of a mixture worth $165 total.

Write a system of equations to represent the situation.

x+y=30

4x+7y=165

400

A farmer has chickens and cows. There are 20 animals total. The total number of legs is 56.

Write a system of equations to represent the situation.

x+y=20

2x+4y=56

500

The perimeter of a rectangle is 94 meters. The length is 7 meters more than twice the width.

Write a system of equations to represent the situation.

2l+2w=94

L=2w+7