Problem 1
Add the following:
18+[-7+(-9)] = 2
Problem 2
A mountain is 11,006 above sea level, and a valley is 154 feet below sea level. What is
the difference in elevation between the mountain and the valley?
The difference in elevation between the mountain and the valley is how many feet?
11,006 – (-154) = 11,006 + 154 = 11160 ft
Problem 3
On three consecutive passes, a football team gains 6 yards, loses 10 yards, and gains 39
yards. What number represents the total net yardage?
The total yardage is how many yards?
6 – 10 + 39 = 35
Problem 4
Suppose a temperature of -108 Fahrenheit was recorded in Antartica and a temperature of
119 Fahrenheit was recorded in the Sahara Desert. How many degrees warmer is 119
Fahrenheit than -108 Fahrenheit?
119 – (-108) = 119 + 108 = 227 degrees
Problem 5
A woman is 62 and 1/12 inches tall and her daughter is 57 and 7/9 inches tall. How much
taller is the woman?
62
1
7
3
28
11
− 57 = 62 − 57 = 4 inches
12
9
36
36
36
Problem 6
A sidewalk is built 12 bricks wide by laying each brick side by side. How many inches
wide is the sidewalk if each brick measures 2 and 5/16 inches wide?
The width of the sidewalk is how many inches? (type the integer or a simplified fraction)
12 * 2
5
37 444
3
= 12 * =
= 27 inches
16
16 16
4
Problem 7
If you are making 28 brownies and the recipe calls for 2/3 cup of butter for a serving of
16 brownies how much butter will you use? (type the integer, fraction, or mixed number)
2/3 x
=
16 28
! 2 / 3$
x = 28 #
&
" 16 %
! 28 $! 2 $ 56 7
1
x = # &# & =
= = 1 cups
" 16 %" 3 % 48 6
6
Problem 8
Indicate the given processes are commutative?
Washing your hair then brushing your teeth, brushing your teeth then washing your hair.
Yes, these are commutative.
Problem 9
Determine whether the given processes are associative?
Picking up the phone, dialing the number, and talking.
No, these are not associative because the order matters.
Problem 10
Determine whether the given processes are associative.
Putting cereal, milk and sugar in a bowl.
Yes, these are associative.