Factoring/Distribution
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Word Problems
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100

(x+2)(x-3)

x2-x-6

100

4x+7 = 47

x = 10

100

32/3 + 8*5 - 4*5

29

100

A 3 times a number subtract 2 is equal to 7.

3x-2 = 7, x=3
100

This function creates a V shape.

What is an absolute value function?

200

(4x-5)(-3x-6)

-12x2-9x+30

200

2(3x+6)=24

x = 2

200

(6+12)/3+6*14


12
200

A 10% increase to this number equals 121

1.1x = 121, x = 110

200
A 10% increase will increase this number by 15.

What is 150?

300

x2-64

(x+8)(x-8)

300

4x+7-3x=-5x+1

x = -1

300

[32(1+2)(22+6)]/30

9

300

This number squared plus 9 equals 34.

x^2+9 = 34. x=5

300

A function has this many outputs for every input.

What is one output?

400
x2+5x+6

(x+2)(x+3)

400

4x2+7=107

x = +/- 5

400

{[(4+6)2+8*5]0}/(3+7*4)

0

400

If I have 90 balls and I divide them into two buckets with one containing 18 more balls than the other, how many balls does each bucket have?

x+x+18=90, 36 and 54.

400

This popular cereal brand features a rabbit in it's commercial who claims that his cereal is for children.

What are Trix, the best cereal?

500

8x2+6x-20

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

500

square root (4x)+8 = 12

x = 4

500

Square root of [(62 - 52)22+20] / [(3*5)-22-3]

1

500

Due to my great investments, my money doubles every year. If I start with $4, how many dollars will i have after 3 years?

4x^2 where x = 3. $32

500

Spell my last name

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