#1

4.-, -12.111, 12 1/10, -86/7 order from least to greatest

7. evaluate.=,

8. evaluate and write your answers as fractions.,

9. Evaluate -12-9(-3).

10. evaluate.-5x3-

11. evaluate the expression when a =7 and y=-7.-a+5y=

13. Use distributive property to remove the parentheses.-6(-5x-2w+1)

14. Simplify 4(x+4)-8x

15. Simplify 4x-6(-2y+3x)-4y

#2

4. find the greatest common factor of and

5. find the greatest common factor of these three expressions., and 12x

6. find the greatest common factor of these two expressions.

and

7. factor

8. factor the following expression.+

9. Find all excluded values for the expression.

That is, find all values of t for which the expression is undefined.

t-10/t-3

10. Simplify.

30(x-6)(2x-3)/6(2x-3)(x+2)

11.find the least common multiple of 9 and 12

12.find the least common multiple of 6, 5, and 10

13. find the least common multiple of and 7a

#3

1. Solve for x.x+3/5=-1/6, simplify
2. Solve for x. 25=-5/3x
3. Solve for x.-5= 3x+5/2

5 solve for W.-7w+5(w-6)=-12

6. solve for v.2(v-8)=6v-8

7. solve for y.-6(2y-6)+5y = 7(y+6)

8. solve for v.v/2=v/5+3

9. solve for w.-7/3-6/5w=-3/2

10. Solve for w. 4w- 1/3 = -4/5w 2/3

11. solve for x.27 = 7x+8/2 + 7x+9/8

13. solve for w.= w-5/6

14. translate this sentence into an equation.95 is the product of Joses age and 5.Use variable j to represent Joses age.

15. Translate the sentence into an equation.Twice the difference of a number and 8 is 9.Use variable b for the unknown number.

16. Dan rented a truck for one day.There was a base fee of $17.99, and there was an additional charge of 99 cents for every mile driven.Dan had to pay $193.22 when he returned the truck.For how many miles did he drive the truck?

17. A small publishing company is planning to publish a new book.The production cost will include one-time fixed cost (such as editing) and variable cost (such as printing).The one-time fixed cost will total $40,561.The variable cast will be $10.25 per book.The publisher will sell the finished product to bookstores at a price of $22 per book.How many books must the publisher produce and sell so that the production cost will equal the money from sales?

18. The container that holds the water for the football team is full.After pouring in 7 gallons of water, it is 5/6 full.How many gallons can the container hold?

19. Three consecutive integers have the sum of 48.Find the integers.

20.Heather takes classes at both Westside Community College and Pinewood Community College.At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit hour.Heather is taking a combined total of 14 credit hours at the two schools.

Suppose that she is taking w credit hours at Westside.Write an expression for the combined total dollar amount she paid for her class fees.

#4

1. Translate the sentence into an inequality.Nine subtracted from x is greater than or equal to 17.
2. Translate the sentence into an inequality.The sum of a number times 7 and 28 is at most -17.Use the variable b for the unknown number.

6 Write the following as an inequality.X is less than or equal to 5 and greater than or equal to 0.Use x only once in your inequality.

9. The sets E and F are given below.

E={1, 2, 6, 7}

F={-1, 1, 4}

Find the union of E and F, find the intersection of E and F, write your answers using notation

10. E and F are sets of real numbers defined as follows.

E = {x|x<2}

F = {x|x>8}

Write E F and E F using interval notation.If the set is empty write

12. Solve the inequality for u

U + 7/8 <

13.Solve for the inequality for u.

12> -8/5u

14. Solve for the inequality for x.

-24-4x<-10

15. Solve for the inequality for w.

-13- 8/3w > -5

16. Solve for the inequality for w.

1- 8/9w < 7/6 4/9w

17.for each inequality, choose the statement that describes its solution.If applicable, give the solution.

4(5-y) + 6y <14

No solution

Y< ___

Y>___

All real numbers are solutions

-3(v+5) + 34 > 3 (7-v)

No solution

Y< ___

Y>___

All real numbers are solutions

18. Solve the compound inequality.

2w+ 1>13 or 3w + 3 > -6

Write the solution in interval notation.If there is no solution, 0

19.For her phone service, Heather pays a monthly fee of $26, and she pays an additional $0.06 per minute of use.The least she has been charged in a month is $114.38.

What are the possible numbers of minutes she has used her phone in a month?

Use m for number of minutes, and solve your inequality for m.

20. A phone company offers two monthly charge plans.In plan A, the customer pays a monthly fee of $30 and then an additional 9 cents per minute of use.In Plan B, the customer pays a monthly fee of $37 and then an additional 7 cents per minute of use.

For what amounts of monthly phone use will Plan A cost less than Plan B?

Use m for the number of minutes of phone use, and solve your inequality for m.