1. 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)____________

2. 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)_____________

3. 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) _____________

4. 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)_______________

5. 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)______________