MAT 045 Test 4 Review (Ch. 9, NROC Units 9 & 10)

Name ______________________________________ Date ________________

Show all work in order to receive full credit. Calculator use not allowed. --------------------------------------------------------------------------------------------Graph the numbers on a number line.

1) -7, -5, -3, -1 ,0, 3

Write < or > between the pair of numbers to make the statement true.

2) –9 - 4 2)______________

3) 0 -7 3) ______________

4) 3 0 4) ______________

5) -8 2 5) _____________

Simplify the absolute value expression.

6) |5| 6) _____________

7) |-18| 7) _____________

8) -|17| 8) _____________

Write true or false for the statement.

9) -|-56| < 0 9)______________

10) |-49| > -|-19| 10)_____________

11) -|-12| > -|-10| 11) ____________

Add by using the number line.

12) -5 + (6) 12)____________

13) -14 + (-10) 13)____________

Give the additive inverse of the number.

14) 6 14)_____________

15) -7 15) _____________

Follow the order of operations to work the problem.

16) 16 + (-7) - (-6) - 16 + 20 16)______________

17) |-22 + 19| - 16 + 14 17)______________

18) -23 - (-1 - 10) – 6 18)______________

Multiply.

19) -7 · (-18) 19)_____________

20) -5(0) 20) _____________

Solve the problem.

21) At the local recycling center, employees are paid every two weeks. If Jeremy was paid $11,440 last year, how much did he make each pay period?

21)_____________

22) Mark had $771 in his checking account. He wrote checks for $52, $36, and $144. He then deposited $141 from his paycheck. What is Mark's new balance?

22)_____________

Simplify.

23) 69 - 4(5) + 285 ÷ (-15) 23)______________

24) (-7)2 + (-4)2 - 7 24)______________

Use the given values of the variables to find the value of the expression.

25) -4x + 3y + 9a for x = -4, y = -3, a = 2 25)______________

26) -5a(7x - 5y) for x = -1, y = -4, a = 2 26)______________

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given.

27) P = 2L + 2W; L = 3, W = 7 27)______________

28) A = 1/2bh; b = 7, h = 14 28)______________

Solve the equation.

29) -3 = 9 + f 29)______________

30) -4s = -48 30)______________

31) 17z - 4 = 13z - 36 31) _____________ 32) 5(x + 4) = -20 32)_____________

33) -5(t - 3) = -15 - 20 - 10t 33)_____________

Write the word phrase in symbols, using x as the variable.

34) 15 less than a number 34) _____________

35) 8 divided by a number 35) _____________

36) The product of a number and 9 36) _____________

37) A number subtracted from six times the number 37)_____________

Solve the problem.

38) If twice Tom's age is increased by 26, the result is three times Tom's age. How old is Tom?

38)______________

39) The attendance at the Sunday football game was four times the attendance at Monday night's game. In all, 78,000 fans attended the games. How many fans attended Sunday's game?

39)______________

40) The expression for figuring the average speed of a car is m/h, where m is the number of miles traveled and h is the number of hours traveled. Evaluate the expression for a car that travels 472 miles in 8 hours.

40)_______________

41) A wire is cut into two pieces, with one piece 14 feet shorter than the other. The wire was 66 feet before it was cut. How long is the shortest length of wire?

41)_______________

42) A retail store had monthly sales of $66,200 and spent 30% of it on advertising. How much was spent on advertising?

42)_______________

43) Janet drove 486 kilometers and the trip took 9 hours. How fast was Janet traveling?

43)_______________

44) Pennies are packaged 50 in a roll. A mother gave her son 192 pennies for his bank and had 8 pennies left over. How many rolls of pennies did she use?

44)______________