**Directions**: Please show all of your work for each problem. If applicable, you may find Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it.

- Is 12 a solution to the equation 7 – x = 5?

- Is –9 a solution to the equation 9 – 8x = 81?

- Solve -2x+7>=9

- Solve 3(x-5)<2(2x-1)

- Solve. 8x + 2 = 7x

- Solve. 7x – 0.96 = 6(x – 0.67)

- Solve for x. 4x = –8

- A company estimates that 5% of the parts they manufacture are defective. If 8 defective parts are found one week by the quality assurance testers, how many parts were manufactured that week?

- Solve for x. 35 – 7x = 35

- Solve for x. – 5 = 5

- Solve for x. 4(x – 2) + 4x = 5x + 4

- Solve for x. 7x – 3 + 3x = 10x – 3

- Solve for x. –10x + 1 – 7x = –17x + 7

- Solve the literal equation for y. x + 5y = 25

- A rectangular solid has a base with length 5 cm and width 2 cm. If the volume of the solid is 100 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]

- Translate the following statement into an algebraic equation. Let x represent the number. 1 less than 15 times a number is 9 times that same number.

- The sum of three consecutive odd integers is 201. Find the integers.

- At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 35 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 70 mi/hr. When will the second truck catch up to the first?

- The base of an isosceles triangle is 1 in. less than the length of one of the equal sides. If the perimeter of the triangle is 20 in., find the length of each of the sides.

- Identify the amount in the statement “318 is 53% of 600.”

- Elaine was charged $126 interest for 1 month on a $1800 credit card balance. What was the monthly interest rate?

- A broach was marked up $150 from cost, which amounts to a 50% increase. Find the original cost of the broach.

- Solve the solution set. 8x + 3 < 4x – 13

- Solve the solution set. 5x + 12 > 10x – 8

- An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 76, 69, and 84 on the first three exams. Write a simplified inequality representing the score she must get on the last test to receive credit for the course.

- The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 28 in., find the width of the rectangle.

- Solve and check: 6x=4(x-5)

- Solve 1/4x<=3/8

- Solve 8x-7<=7x-5

- Solve -5x>23.5