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Homework 3

Factor:

1)x2 -9x+18

2) y3 – 125

3) 36×2 – 84x + 48

4)25×2- 9

Simplify:

5) x2 + 2x – 3 x2 – 3x + 2

Homework 4

Solve for the variable:

1) 3m + 17 = 77

2) 2(x – 1) + 3 = x – 3(x + 1)

3) 25 – [2 + 5y – 3(y + 2)] = – 3(2y – 5) – [5(y – 1) – 3y + 3]

4) +3 = 3 + −5 684

5) 8x – (3x + 2) + 10 = 3x

6) Three times a number decreased by 22 is 5. Find the number.

7) You are choosing between two health clubs. Club A offer membership for a fee of $40 plus a monthly fee of $25. Club B offers membership for a fee of $15 plus a monthly fee of $30. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

8. 2/x-2=X/x-2-

Homework 5

Solve by factoring:

1)3×2 -2x=8

2)x2 -3x-10=0

Solve by the square root property:

3) 3×2 = 27

4) (3x + 2)2 = 9

Solve using the quadratic formula:

5) x2 + 8x + 15 = 0

6) 3x 2 – 3x – 4 = 0

Homework 6

Express the interval in set notation and graph on a number-line: 1.(- 1,6]

2. [- 2,5]

Use a number-line to find the set: 3. (- 3,0) + [- 1,2]

Use interval notation to express solution sets and graph each solution set on a number line.

4. 5x + 11 < 26

5. 8x + 3 > 3(2x + 1) + x + 5

Solve the equations: 6. |2x – 1| = 5

7. 3|2x – 1| = 21

8. 4|1 – 3/4x| + 7 = 10

Homework 8

Determine whether each relation is a function. Give the domain and range.

1. {(1,2),(3,4),( 5,5)}

2. {(5,6),(5,7),( 6,6),(6,7)}

3. {(10,4),(- 2,4),(- 1,1),(5,6)}

4. {(4,1),(5,1),( 6,1)}

Evaluate each function at the given values of the independent variable and simplify:

5. f (x) = 4x + 5

a)f(6) b)f(x+1) c)f(-x)

6. g(x) = x2 + 2x + 3

a) g(-1) b) g(x+5) c) g(-x)

Determine whether each function is even, odd, or neither 7. f(x) = x3 + x

8.h(x)=x2 -x4

Find the domain of each function

9. 1/x+7 + 3 / x-9

10. f (x) = √ − 3