Math models and applications pt. 3
Which of the following numbers is not a part of the Natural Numbers?
0
Find the perimeter of the polygon. 0.04ft + 0.04ft + 0.07ft + 0.095ft
0.245 ft
What is 0.5125 rounded to the nearest tenth?
0.5
Find the Least Common Denominator of 4/7 and 1/8
1 7/36
Solve. (3/6 + 1/4) + 6/9 X 2/3
1 7/36
Multiply 3.4 X 5.17
17.578
Convert 18.34 to a mixed number
18 34/100
Which of the following is an example of a ratio?
60 min/20 min
Round 5.5555 to the nearest thousandth
5.556
Find the approximate circumference of the circle. Round decimals to the nearest hundredth. d = 1.8
5.65 mm
Find the approximate perimeter of the shape below. (Note: the 1.1 mm refers to the Radius) hint: this problem is best approached in 2 parts. the 1st is finding the perimeter of the curved piece, the 2nd is finding the perimeter/length of the flat piece.
5.654 mm
Convert 0.62 to a percent.
62%
Convert 0.512 to a fraction
512/1000
Solve for x 6x + 5 + 17
x = 2
Solve for x 6x + 5 = 17
x = 2
Solve for x x + 5 = 56
x = 51
Solve the equation 12 - 5y + 8 = 100
y = -16
Solve the equation 12y = y - 33
y = -3
Which of the following numbers is not a part of the Whole Numbers?
− 10
Which number is the opposite of 5?
− 5
1/4 − 0.2 (Leave your answer as a decimal, rounded to the nearest hundredth)
0.05
0.22 X 1/4
0.055
(0.25)2
0.0625
15/16 X 0.8
0.75
Convert 86% to a decimal
0.86
3/10 + 0.7
1
Determine the value for the absolute value expression |-1| X |-1|
1
Convert 521.85 mm to cm
52.185 cm
Determine the value for the absolute value expression |56| X |-1|
56
Convert 0.56 to a fraction
56/100
What is the opposite of − 58?
58
Determine the missing denominator value 5/? = 10/12
6
Verify that y = 2 is a solution to 4y + 1 = 11
False
What two numbers are exactly 6 units away from 4?
-2 and 10
A salesperson earns a 5% commission for each sale they make. How much will the salesperson make from a sale of $700?
$35
Determine the value for the absolute value expression -|-1|
-1
Determine the value of the absolute value expression - |-6| X |3|
-18
Simplify the following denominate number: 404 days (Into a combination of years, months, weeks, and days. Assume each year has 365 days, each month has 30 days, and a week has 7 days.)
1 year + 1 month + 1 week + 2 days
Perform the indicated operations on the fractions below. 1/4 + 1/2 ⋅ 1/2 (Make sure to remember the order of operations.)
1/2
Determine the value for the absolute value expression |-5| + |5|
10
Find the Least Common Denominator of 3/10 and 1/2
10
Choose the division below that represents a non-terminating division.
100 ÷ 27
Find the approximate area of the shape below. The height (or altitude) of the triangle from the side length of 10mm is 13.08 mm. Hint: think of this shape as a combination of 2 shapes, and start by finding the area for each of them individually. Don't forget to only account for the area that needs to be counted when using area formulas!
104.6 mm2
Determine the missing denominator value 3/2 = 18/?
12
Determine the missing numerator value 2/5 = ?/30
12
Determine the value for the absolute value expression |4| X |3|
12
Solve for x x − 1 = 11 (In the answer box, only put the number that x is equal to.)
12
Convert 4/9 to an equivalent fraction with denominator of 27.
12/27
Convert 2 miles to inches
126 , 720 in.
If a football team is traveling to a game and needs to get hotel rooms for the team, how many rooms will they need for 52 players if each room can fit 4 players? 1 room/4 players
13 rooms
Add the fractions. Reduce if necessary. 6/11 + 1/22
13/22
Add 7/8 + 6/8
13/8 or 1 5/8
Determine the value for the absolute value expression |5 - 20|
15
Which two numbers are exactly 10 units away from 5?
15 a n d − 5
Convert 6 Tons to Ounces (oz.)
192 , 000 Oz.
Determine the value for the absolute value expression |6| / |-3|
2
Find the missing factor in the proportion 16/1 = 32/x
2
How many times larger is the diameter than the radius of a circle?
2
Round 2.37 to the nearest tenth.
2.4
Determine the value for the absolute value expression |-7 -13|
20
Find the Least Common Denominator of 7/12 and 7/8
24
Solve for x in the following proportion 4/5 = x/30
24
Simon is building a house. He wants the area of the footprint of the house to be 250 f t 2. Which of the floor layouts below has exactly that area?
25ft x 10ft
Determine the missing denominator value 12/13 = 24/?
26
Solve 18 - (-9)
27
Add 9 4/5 + 17 2/3
27 7/15
Which of the following is an example of a rate?
27 miles/1 gallon
Find the perimeter of a rectangle with side lengths of 5 inches and 9 inches.
28 inches
17 is what percentage of 58?
29%
How many factors are in the expression 3 . x . 17
3
How many terms are in the expression: 100 - x + 99
3
Subtract the improper fractions 9/5 - 12/10
3/5
Subtract the improper fractions 9/5 - 12/10
3/5
Subtract 3/4 - 6/16
3/8
If the proportion of dollars to a shirt is 30 dollars 2 shirts , then how much does 20 shirts cost?
300 dollars
Find the missing factor in the proportion 7/12 = x/60
35
Add the fractions. Reduce if necessary. 1/8 + 4/5
37/40
According to the Double- Negative Property, − ( − 4 ) is the same as what?
4
Add the improper fractions and reduce if necessary. 7/4 + 9/4
4
Add the improper fractions and reduce if necessary. 7/4 + 9/4
4
Determine the missing numerator value. 1/3 = ?/12
4
How many factors are in the expression x . y . z . 9
4
Subtract the mixed numbers 8 7/8 - 4 1/4
4 5/8
How many terms are in the expression 12 - 5 + 3 - 2
4 terms
Round 4.12 to the nearest tenth
4.1
Convert 4 Kilograms to grams
4000 g
Interpret the following worded number into digits. Four hundred six and forty-nine hundredths
406.49
Which of the following numbers below is not a Denominate Number?
42
Convert 14 yards to feet.
42 feet
Convert 86% to a fraction (reduce if necessary)
43/50
Change 45/100 to a percentage
45%
What is the circumference of a circle with radius of 7.2 in? (Use π = 3.14)
45.216 in
Convert 0.45 to a fraction
45/100
Which value for x solves both equations? 3 x = 15 2x + 1 = 11
5
66 is what percentage of 100?
66%
According to the Double-Negative Property, − ( − 7 ) is the same as?
7
Divide 36.75/5.25
7
Find the missing factor in the proportion x/10 = 28/40
7
Add the mixed numbers 2 3/4 + 4 1/2
7 1/4
If Greg's hourly wage is 12 dollars 1 hour how many hours will it take Greg to earn $84?
7 hours
Round 7.134 to the nearest hundredth
7.13
Convert 0.7 to a fraction
7/10
Subtract 9/12 - 2/12
7/12
Convert 7521 centimeters to meters.
75.21 meters
Solve 5 - ( -3 )
8
Solve for x in the following proportion 5/x = 10/16
8
Convert 8 kilograms to grams
8,000 grams
Interpret the following worded number into digits. Eight and four hundredths
8.04
Convert 1/2 to an equivalent fraction with denominator of 16.
8/16
Change 4/5 to a percentage
80%
If a student received 13/15 on their math quiz, what percentage did the student get on that quiz? (Round to the nearest whole percentage)
87%
Combine like terms 3x + 7y - 2y + 5x
8x + 5y
9.26 + (1/4 X 2)
9.76
Which of the formulas below is the Area formula for a Circle?
A = π r 2
True or False: x is the coefficient in 52x
False
By definition, A factor is related to a ____ operation
Multiplication
By definition, A term is related to a ____ operation
Sum
Which measuring system is based on a base ten number system?
The Metric System
Verify that x = 1 a n d y = 2 are the solutions to the equation 9x + y = 11
True
Verify that 5 is a solution to 12x + 7 = 9x + 22
Yes, 5 is a solution
Verify that z = − 3 is a solution to the equation -3z - 1 = 8
true
Which of the following units could be a possible unit for area?
mm2
In general, which of the following fractions below yields a positive value? (Negative denotes a negative value number, and positive denotes a positive value number)
negative/negative
True or False: 10 is the coefficient in 10 x
true
Verify that x = 1 is a solution to the equation 5x - 1 = 3 + x
true
Verify that x = 3 , y = − 1 , a n d z = 2 are solutions to the equation x + y + 2z = 6
true
Verify that x = 5 is a solution to the equation 5x = 25
true
