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Functions

100

Find the domain:

f(5)=1/x 

What is f(5)=1/5, five is in domain 

200

Find the Domain:

f(x)=x²+1 

What is all numbers?

300

Is f(-3) in the domain for f(x)=the square root of x?

What is -3 is not in the domain?

400

Find the domain for f(x)= the square root of 2x-4

What is (2,+infinity)?

500

Evaluate f(x)= x²-2x+2 for f(2).

What is 2?

Inequalities

100

-2x+4 >/ 0

x|x</ 2 

200

1/3(9y+3)-13 < -1/3(6y-9)

y|y<3

300

Solve

2x-4>/0 and 10-x<0 

(10,+infinity)

400

solve

7+2x<-1 or 13-5x</3 

(-infinity,-4)U[2,+infinity)

500

-2<6-2x/3<4

-3<x<6

Combine Like Terms/Consecutive Integers

100

Simplify:3^x-square root of 3 times x-2 times 3^y+6^y+ square root of 2 times x- 5 times 3^x

-4 times 3^x-2 times 3^y+6^y+(- square root of 3 + square root of 2)x

200

Find two consecutive even integers such that two times the first plus three times the second is 76.

What is 14 and 16?

300

Three consecutive integers are such that the square of the first is 29 less than the product of the other two. Find the integers.

What is 9,10,and 11?

400

A set of 3 consecutive integers adds up to 30. Which integers are they? 

What is 9,10, and 1?

500

5^1/x+2 times 3^1/x-7square root of x-6^1/x+ 2square root of x+3+5^1/x

2 times 5^x

Solve for x

100

3-5y/5 - 2y-1/2= y/4

What is y=22/45?

200

Solve for c

a/c=-d/3c + ad

What is c= a+d/ad

300

3x+2=7+5x

x=-5/2

400

2/3y - 1/5y=7 

y=15 

500

3(x-2)+5=3x+1

X=undefined 

Simplify

100

(-2x^-2y)⁴

16y⁴/x⁸

200

(2a³b⁴/3c^-5d⁷)²

4a⁶b⁸c¹⁰/9d¹⁴

300

4a⁷b^-5 times a^-5b²c/8a^-4b³d

a⁶c/2b⁶d

400

Simplify 

(x-1)(x+2)+2/(x+3)(2x-5)+15 

(x+1)/(2x+1)

500

x(2x+4)/(2x³-4x²)

(x+2)/x(x-2)