Math 0092

Review Ch 1, Ch 2, Ch 3.1 – 3.3

1. Which of the following are whole numbers? {18, -9, 3, ½, 4.3, 7}

2. Find the place value of the 7 in 274,865,123.

3. Write the following number in expanded form and then in words. 2,345,678

4. Simplify the following:

a. 3(-3+4) – (3 – 5)

5. There is a 3-degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 35degrees, what will the temperature be when the plane reaches an altitude of 25,000 feet?

6. Use front end rounding to estimate the following. Then find the exact answer.

Pat had $953 in her checking account. If she wrote checks for $145 and $339, how much does she have left in her account?

7. The following are examples of what properties?

a. (3*4)(5)=5(3*4)

b. 5 + 0 = 5

c. 5 + 0 = 0 + 5

d. 5 + (-5) = 0

e. [(5 + 0) +3]=5 + 3

f. [(5 + 0) + 3] = 5 + (0 + 3)

g. 5x + 3x = x(5 + 3)

8. Simplify expressions: make sure that you add like terms!

a. 5(2x + 3) - (6x -7)

b. 2 - 4(3x + 6) + 5(8x + 7)

c. 4y + 3x – (6x – 5y)

9. Solving equations:

a. x + 7 = 9

b. x -12 = -3

c. -8 = 4x

d. –x = 12

h. 4(3x + 2) -5( 46x + 3) = -179

10. Given the following expression: 8 – 3x

a. Determine the variable.__________

b. Determine the constant: __________

c. Determine the coefficient: __________

11. Divide the following and then interpret the remainder.

Lj brings a bag of candy to his classroom. The bag has 120 pieces of candy in it. Lj had planned on dividing the candy evenly between all 23 students and the teacher. However, the teacher can’t eat candy. How many pieces of candy does each child get?

12. Evaluate the following expressions when x = 2, y = 3 and z = -2.

13. What is the difference between an expression and an equation?

14. Find the perimeter and area of the following figures.

15. Ryan wishes to fence in his rectangular backyard. It is 45 feet deep and 117 feet wide. The cost of the fencing is $6 per linear foot. After fencing in his backyard he decides to sod the yard. The cost of the sod is $5 per square yard. What is the total cost of the project?

16. Heidi and Brenda decide to paint Brenda’s living room. The room is 20 feet long 15 feet wide and has 8 foot tall ceilings. There is a picture window which is 12 feet long and 4 feet tall and two doorways, one is 3 feet wide and 6 feet tall while the other is 4 feet wide and reaches up to the ceiling. They need to prime the wall with “Kilz” which costs $16 per gallon and then put two coats of paint on. The paint costs $20 per gallon. If the Kilz covers 150 square feet per gallon and the paint covers 200 square feet per gallon, how many gallons of Kilz and paint should they but? What is the cost of the project before paintbrushes etc.?

17. Write the following as an algebraic expression.

a. 5 less than twice a number.

b. The difference of five and the product of two and a number.

c. Twice the sum of four and three times a number.

18. Solve: When the product of a number and three is increased by 5, the result is 35. Find the number.

19. Write the following as an algebraic equation and solve. On a given day, Judge Leslie drove five times as far as his wife. If the total number of miles that they drove was 630, how far did he drive?

20. While shooting trap, Jon hit 8 less than twice as many trap as Karin. If the two of them hit 52 in all, how many did Jon hit? Solve algebraically.