Name _______________________________________________
Math 112 Sample Test #3
Perform the operation. Write the answer as a fraction in lowest terms. Show all work and put the answer in the column
at the right.
1
1
+
1)
1)
14 28
2)
4 1
·
5 4
2)
3)
5 1
9 2
3)
4)
7 1
÷
9 2
4)
Write the number in prime factored form.
5) 1400
5)
Change the fraction to a percent.
8
6)
10
6)
Write as a fraction. Reduce to lowest terms.
7) 95%
7)
Write as a fraction. Reduce to lowest terms.
8) 0.08
8)
Write as a decimal.
12
9)
10
9)
Find the sum.
10) -12 + [17 + (-11)]
10)
Find the difference.
11) -13 - (-10)
11)
12) -38 - 38
12)
Use order of operations to simplify the expression.
13) (-3 + 1) - (-8 + 13)
13)
1
Use the order of operations to simplify the expression.
14) 3 · 7 - 15 ÷ 5
14)
Find the product.
15) -6(-6)
15)
16) -38(0)
16)
Find the quotient.
-162
17)
-54
18)
17)
0
-38
18)
Use the order of operations to simplify the expression.
19) 10 + 10(10 - 10)
20)
19)
6(5 + 6) + 6 · 6
6(3 - 1)
20)
21) 240 ÷ 6 - 2
21)
22) 3[6 + 3(8 2 )]
22)
23) 98 - 6 · 3 · 5
23)
24) 6 2 + 32
24)
25) -11 + (5 · 2 + 40) ÷ 5
25)
Evaluate the expression.
26) (-8)4
26)
27) -5 2
27)
Answer the question as instructed.
28) Which of the following is the correct way to evaluate the expression 5 + 6 · 5?
A) 5 + 6 · 5 = 11 · 5 = 55
B) 5 + 6 · 5 = 30 + 6 = 31
C) 5 + 6 · 5 = 25 + 30 = 55
D) 5 + 6 · 5 = 5 + 30 = 35
Select the smaller of the two given numbers.
4
5
29) - , 9
6
28)
29)
2
Evaluate.
30) 4x2 + 5x, for x = 4
30)
31) 6 - 5x, for x = -5
31)
Solve the problem.
32) The normal gasoline mileage of a car is 48 mpg. On a smooth road, its mileage is 12%
higher. What is its mileage on a smooth road? Round your answer to the nearest tenth.
32)
33) A camera costs $460. If the sales tax rate is 4%, how much tax is charged and what is the
total price? Round your answers to the nearest cent.
33)
34) The price of a necklace is $19.99. If the salesperson's rate of commission is 11%, how much
commission is earned on the sale of the necklace? Round to the nearest cent.
34)
Find the simple interest. Round your answer to the nearest cent.
35) Principal = $22,400
Rate = 4%
Time in years = 5
3
35)