Evaluate the expression x little 4 when x = 0.5
x little 4
x little 4 = (0.5) little 4
= (0.5) (0.5) (0.5) (0.5)
= 0.0625
200
Evaluate the expression when x = 2 and y = 5
3(x + y) squared
= 3 (2 + 5)squared
= 3 (7)squared
= 3 (49)
= 147
200
State the absolute value and opposite of -73
Absolute value is 73
Opposite is 73
200
Find the sum
-40 + 33 + 12
5
300
Are there any values of variable "a" for which the expressions
2 + a and 2a have the same value? Explain.
Yes, when a = 2 because
2 + 2 = 4 and 2(2) = 4
300
Volume V of a cube is V = s little 3
If a cube of ice has has the width of 20 in., a length of 20 in., and the depth of 20 in., what is the volume of the cube of ice.
V = s little 3
= (20) little 3
Volume = 8000 cubic inches
300
Evaluate the expression when x = 3, y = 4, and z =5
x + 2 [z - (y - 1)]
Be careful!
Evaluate the expression when a= -14, b = 5, c = -8
8 + a + (-4) + c
-18
400
In American Football, each field goal (FG) is worth 3 points and each kicked point after a touchdown (PAT) is worth 1 point.
If George Blanda kicked 943 PAT's and 335 FG, write a variable expression and then solve for the total number of points he scored. Let "p" be the number of PAT's and "f" be the number of field goals. (Be Careful!)
(1)p + (3)f = Total number of points scored by George B.
(1)943 + (3)335 = Total
943 + 1,005 = 1,948 Total pts. scored by George Blanda
400
You send an email to 4 friends. Each of them sends it to 4 more friends. Each of those friends sends it to 4 friends, and so on. Complete the table.
(This problem will have 4 answers)
4 little 3, 64
and
4 little 4, 256
400
You and your brother share cell phone service. You divide the bill equally, including the monthly fee of $39 plus $.30 for each additional minute beyond your free minutes.
1) Write an expression for your share of the bill in a month when you are charged for "m" extra minutes.
2) If you were charged for 125 extra minutes, find your share of the bill.
If the temperature at Alaska's Barrow Observatory goes from -9 degrees Celcius on Monday to 7 degrees Celcius on Tuesday, write and solve an expression that shows how much the temperature increases.
-9 + n = 7
n= 16
400
Evaluate the expression when x = -5, y =14, z = -7
z - y - x
-16
500
Write a variable expression to represent this phrase.
The number of centimeters in x meters
x(100)
500
An aquarium has a square base with a side length of 15 inches. You fill the aquarium with water to a height of 15 inches.
a) Find the volume of the water in the aquarium
b) A cubic inch of water weighs approximately 0.036 pound. Find the aprox. weight of the water in the aquarium.
a) 15 little 3
Volume of aquarium= 3375 cubic inches
b) (0.036)3375 = 121.5 pounds
500
Your school is setting up a row of 5 tables for a craft fair. Each table is 72 inches long. The space between each pair of tables must be 48 inches. Write and evaluate an expression to find the length of the space needed for the tables from the beginning of the first table to the end of the last table.
Total length needed for tables = (5 * 72) + (4 * 48)
= 552 inches
500
DAILY DOUBLE!!!!
If two is company and three is a crowd, what are 4 and 5?
9
500
The top of a cliff overlooking the ocean is 1250 feet above sea level. The sea floor at the foot of the cliff is 40 feet below sea level. A rock falls off the cliff and drops to the sea floor. Which expression represents the change in elevation of the rock?
a: -40 - 1250 b: 40 - 1250 c: 1250 - 40 d: 1250 - (-40)
1250 - (-40)
1250 + 40 = 1290
The change in elevation of the rock is 1290 feet.