Which of the following numbers is irrational? (1 point)
negative 7 over 4, 2 over 3, square root of 3, square root of 4
negative 7 over 4
2 over 3
square root of 3
square root of 4
square root of 3
What is the rational number equivalent to 1 point 28 with a bar over 28? (1 point)
1 and 6 over 97
1 and 28 over 99
1 and 8 over 33
1 and 5 over 16
1 and 28 over 99
Simplify eight to the negative fifth divided by eight to the negative third. (1 point)
one divided by the quantity eight squared
one divided by the quantity eight to the eighth power
82
88
82
There are (32)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish? (1 point)
38
39
311
324
324
5.
(01.02 MC)
Which value is equivalent to 7 multiplied by 5 multiplied by 2 whole over 7 multiplied by 3, the whole raised to the power of 2 multiplied by 5 to the power of 0 over 2 to the power of negative 3, whole to the power of 3 multiplied by 2 to the power of negative 9? (1 point)
10 over 9
20 over 3
100 over 9
700 over 3
6.
(01.03 LC)
What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point)
1 over 25
1 over 5
5
25
7.
(01.03 MC)
What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? (1 point)
30
31
32
34
8.
(01.03 MC)
What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3? (1 point)
3 over 2
3 to the power of 2 over 2 to the power of 2
3 to the power of 2 over 2
2 to the power of 4 over 3
9.
(01.05 LC)
Which calculation can be used to find the value of y in the equation y3 = 27? (1 point)
y= y equals 27 over 3
y= y equals cube root of 27
y= y equals square root of 27 over 3
y= y equals square root of 27
10.
(01.05 MC)
Which expression is rational? (1 point)
4.121221222...
square root of 36
square root of 21
1.192744502...
11.
(01.05 MC)
Which number line best shows the position of square root of 13? (1 point)
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.3 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 4.3 and labeled as square root of 13.
12.
(01.06 LC)
Which number is not in scientific notation? (1 point)
0.95 ⋅ 108
1.1 ⋅ 105
7.00 ⋅ 108
9.9 ⋅ 10−28
13.
(01.07 LC)
What is the sum of 4.2 × 105 and 5.3 × 105? (1 point)
95 × 105
95 × 1010
9.5 × 105
9.5 × 1010
14.
(01.07 MC)
Multiply (1.2 ⋅ 1028) ⋅ (3 ⋅ 10−19). Express the answer in scientific notation. (1 point)
3.6 ⋅ 109
3.6 ⋅ 1010
36 ⋅ 109
36 ⋅ 1010
15.
(01.07 MC)
The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun? (1 point)
5.2 ⋅ 107 kilometers
4.7 ⋅ 108 kilometers
5.2 ⋅ 108 kilometers
5.7 ⋅ 109 kilometers
16.
(01.07 HC)
A closed container has 2.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? (1 point)
0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1
0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1
3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068
3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71
5. 20 over 3
6. 1 over 25
7. 32
8. 3 to the power of 2 over 2
9. y= y equals cube root of 27
10. square root of 36
11. Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
12. 0.95 ⋅ 108
13. 9.5 × 105
14. 3.6 ⋅ 109
15. 5.2 ⋅ 107 kilometers
16. 3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068