What is 12815 − 7 + 715 + 15? Simplify your answer.(1 point)
Responses
20 15/15
21
35
41 15/15
The simplified answer is 12815.
What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.(1 point)
Responses
20 15/15
21
35
41 15/15
To simplify the expression, we first convert the mixed number 12 8/15 to an improper fraction:
12 8/15 = (12 * 15 + 8)/15 = 188/15
Next, we add all the fractions together:
188/15 - 7 + 7/15 + 15
To add the fractions, we need a common denominator. We can use 15 as the common denominator for all fractions:
(188 - 7*15 + 7 + 15*15)/15
Simplifying the numerator:
(188 - 105 + 7 + 225)/15 = 315/15
Finally, we simplify the fraction 315/15:
315/15 = 21
So, the simplified answer is 21.
How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8(1 point)
Responses
(18 − 9 − 8) + (−4/9 + 7/9)
(18 − 8) + (−9 4/9 + 7/9)
(18 − 8 − 9)
(8 − 18) + (4/9 + 7/9)
To make it easiest to add the expression 18 − 9 4/9 + 7/9 − 8, you should group it in a way that allows you to simplify each part separately.
Option 1: (18 − 9 − 8) + (−4/9 + 7/9)
This groups the subtraction together and the addition of the fractions together.
Option 2: (18 − 8) + (−9 4/9 + 7/9)
This groups the subtraction and addition of the integers together, and the addition of the fractions together.
Option 3: (18 − 8 − 9)
This groups all the subtraction together.
Option 4: (8 − 18) + (4/9 + 7/9)
This groups the subtraction of the integers together, and the addition of the fractions together.
So, the correct answer is option 1: (18 − 9 − 8) + (−4/9 + 7/9)
What should you do if a place value is missing a number?(1 point)
Responses
Remove the last digit(s) in the number that has the additional place values,
Nothing.
Subtract without it.
Add a zero.
To account for a missing number in a place value, you should add a zero.
What is −18.1−5? (1 point)
Responses
23.1
13.1
−23.1
−13.1
The correct answer is -23.1.
What is −189.987−30.87? (1 point)
Responses
−159.117
220.857
−220.857
159.117
The correct answer is -220.857.
What is 8 − 7 1/4?(1 point)
What is 8 − 7 1/4? (1 point)
To subtract a mixed number and a fraction, we need to convert the mixed number to an improper fraction first:
7 1/4 = (7 * 4 + 1)/4 = 29/4
Now we can subtract 29/4 from 8:
8 - 29/4
To subtract fractions, we need a common denominator. In this case, the common denominator is 4:
(32/4) - (29/4)
Subtracting the fractions:
(32 - 29)/4 = 3/4
So, 8 - 7 1/4 = 3/4.
What is −4 5/11 − 2 4/11? (1 point)
To subtract mixed numbers, we need to convert them to improper fractions first:
- 4 5/11 = - (4 * 11 + 5)/11 = - (44 + 5)/11 = - 49/11
- 2 4/11 = - (2 * 11 + 4)/11 = - (22 + 4)/11 = - 26/11
Now we can subtract them:
- 49/11 - 26/11
The fractions have the same denominator, so we can combine them:
- (49 - 26)/11 = - 23/11
So, -4 5/11 - 2 4/11 = - 23/11.
What is −4 5/11 − 2 4/11?(1 point)
To subtract mixed numbers, we first convert them to improper fractions:
-4 5/11 = -(4 * 11 + 5)/11 = - (44 + 5)/11 = -(49/11)
-2 4/11 = -(2 * 11 + 4)/11 = - (22 + 4)/11 = -(26/11)
Now, we can subtract these fractions:
-(49/11) - (26/11)
Since the fractions have the same denominator, we can simply subtract the numerators:
-(49 - 26)/11 = -23/11
Therefore, -4 5/11 - 2 4/11 = -23/11.
What is −6 7/12 − 4 1/3? (1 point)
To subtract mixed numbers, we first convert them to improper fractions:
-6 7/12 = -(6 * 12 + 7)/12 = -(72 + 7)/12 = -79/12
-4 1/3 = -(4 * 3 + 1)/3 = -(12 + 1)/3 = -13/3
Now, we can subtract these fractions:
-(79/12) - (13/3)
To subtract fractions, we need a common denominator. In this case, the common denominator is 12:
-[(79 * 3)/(12 * 3)] - [(13 * 4)/(3 * 4)]
Simplifying the numerators:
-(237/36) - (52/12)
Since the fractions have the same denominator, we can simply subtract the numerators:
-(237 - 52)/36 = -185/36
Therefore, -6 7/12 - 4 1/3 = -185/36.
What is 907.907−709.709?(1 point)
To subtract decimal numbers, we start by aligning the decimal points:
907.907
- 709.709
----------
Next, we can subtract each place value:
7.907
- 9.709
----------
Since we cannot subtract 9 from 7, we need to borrow from the digit to the left.
We can borrow 1 from the 9 in the hundreds place and add it to the 7 in the tenths place:
6.907
- 9.709
----------
Now we can subtract each place value:
6.907
- 9.709
----------
-2.802
Therefore, 907.907 - 709.709 = -2.802.
What is 90.897−81.725? (1 point)
To subtract decimal numbers, we start by aligning the decimal points:
90.897
- 81.725
-----------
Next, we can subtract each place value:
.897
- .725
-----------
Since we cannot subtract 7 from 5, we need to borrow from the digit to the left.
We can borrow 1 from the 9 in the units place and add it to the 5 in the tenths place:
10.897
- 81.725
-----------
Now we can subtract each place value:
10.897
- 81.725
-----------
-70.828
Therefore, 90.897 - 81.725 = -70.828.
How does the mass of the Earth compare to the mass of moon? (1 point)
Responses
The mass of the Earth is about 40 times the mass of the moon.
The mass of the Earth is about 50 times the mass of the moon.
The mass of the Earth is about 80 times the mass of the moon.
The mass of the Earth is about 70 times the mass of the moon.
The correct answer is:
The mass of the Earth is about 80 times the mass of the moon.
Why are there craters on the surface of the moon? (1 point)
Responses
Craters were created when sinkholes formed after rainstorms on the moon.
Craters developed from deep waterspouts in oceans on the moon.
Craters resulted when meteoroids crashed into the surface of the moon.
Craters formed when acidic water dissolved the surface of the moon.
The correct answer is: Craters resulted when meteoroids crashed into the surface of the moon.
A student creates a Venn diagram depicting two objects in the solar system. On one side of the Venn diagram, the student writes “have surface features such as mountains, valleys, and volcanoes,” and on the other side of the Venn diagram, the student writes “unable to land on because there is no solid surface.”
Which two objects is the student comparing?
(1 point)
Responses
Earth and Venus
Inner and Outer Planets
Sun and Planets
Moon and Earth
The student is comparing Earth and Venus
Which of the following best describes the make up of Saturn's rings? (1 point)
Responses
solid bands of sand and dust that formed from the start of the universe
debris and rocks from other planets that orbit around Saturn
dust, rock, and ice particles that orbit due to Saturn's gravity
material from comets that have passed through Saturn's atmosphere
The correct answer is: dust, rock, and ice particles that orbit due to Saturn's gravity.
Which of the following explains why history is divided into eras? (1 point)
Responses
to help understand each event that occurred in that time period to give an in-depth picture
to help historians organize history and highlight common characteristics and turning points
The people who lived the history divided it up into eras for future historians to study.
to group events and dates in periods that cannot overlap with other periods of time
The correct answer is: to help historians organize history and highlight common characteristics and turning points.
Identify two possible names for the era of Texas history that lasted from 1865 to 1900. (1 point)
Responses
the era of the Texas Republic or Early Statehood
the era of Reconstruction or the Age of Oil
the era of Cotton, Cattle, and Railroads or the Jim Crow era
the Civil Rights era or the era of Texas Conservatism
Two possible names for the era of Texas history that lasted from 1865 to 1900 are:
1. The era of Reconstruction or the Age of Oil
2. The era of Cotton, Cattle, and Railroads or the Jim Crow era
Identify the era when crop farming and permanent settlements were first introduced to Texas. (1 point)
Responses
the Spanish Colonial era
the era of Indigenous Texas
the Age of Contact era
the era of Cotton, Cattle, and Railroads
The era when crop farming and permanent settlements were first introduced to Texas is the Spanish Colonial era.
What colony was Texas part of before 1821?(1 point)
Responses
New England
New Spain
New Mexico
New Amsterdam
Texas was part of New Spain before 1821.
When was Texas its own country?(1 point)
Responses
1718 to 1821
1836 to 1845
1821 to 1836
1845 to 1860
Texas was its own country from 1836 to 1845.
Which description defines a sequence of events?(1 point)
Responses
the order in which things happen
the person writing down what happens
the place and time in which things happen
the people making things happen