Writing/Translating
Ms. Starnes started with $675 in her savings account. She deposits $45.72 each week and decided not to withdraw any money from this account. Write an expression to determine Ms. Starnes savings account after e weeks.
675 + 45.72e
Evaluate the following expression when x = 8:
3 ( 3x + 2 )
78
Simplify the following expression:
-4/11 + -5/22
-13/22
Expand the following expression:
2 ( 56x + 75)
112x + 150
Factor the following expression:
-16x + 72
8 ( -2x + 9 )
Taylor earns $7.25 per hour at her job and $10 per day to cover mileage for her car. Write an expression to determine what Taylor gets paid each week at her job.
7.25h + 10d
Evaluate the following expression when j = 12 and r = 10.
0.4 ( 3j + 4r )
30.4
Simplify the following expression:
-2x - (-14) + 13x - 26y + 37x - 3y
48x - 29y + 14
1/8 ( t - 23 )
1/8 t - 23/8
Factor the expression:
-27x - 39y + 12
3 (-9x - 13y +4 )
It was a beautiful day at 12:00 pm in which the temperature was 75 degrees Fahrenheit. If the temperature is decreasing by 1.75 degrees per hour, write an expression to determine the temperature x hours after 12:00 pm today.
75 - 1.75x
3.2 hours
Simplify the following expression:
6.75x - 21.3b + 2.34x - 15.63 - 3.24b
-24.54b + 9.09x -15.63
Expand the following expression:
2x ( x + 16x + y + 1)
2x2 + 32x2 + 2xy +2x
Factor the expression:
1/3 x +4y - 21
1/3 ( x +12y - 63 )
A tank containing 150 gallons of liquid nitrogen is leaking at a rate of 1/2 a gallon per minute. Write an expression to determine the number of gallons left in the tank after s amount of minutes.
150 - 1/2s
Abbey bought g gallons of paint for $13.75 per gallon and p pints of paint thinner for $4.57 per pint. How much money will Abbey owe if she buys 4 gallons of paint and 2 pints of paint thinner?
$55 + $9.14 = $64.14
Which of the following expressions is equivalent to:
467x - 275y + 893 - 234x - 123y
a) 133x + 398y + 893
b) 233x + 389y + 893
c) 233x + 398y + 893
C) 233x + 398y + 893
Expand the following expression:
2.75 ( 34x - 24y - 26 - 21)
93.5x - 66y - 129.25
What are the dimensions of a rectangular area of
27x + 63 ?
9 and 3x +7
The gym teacher has a crate of sports equipment. In the crate there are b amount of baseballs that weigh 4.32 ounces, f amount of footballs that weigh 12.7 ounces and d amount of dodge balls that weigh 3.4 ounces. Write an expression to represent how much the sports equipment in the crate weighs.
4.32b + 12.7f + 3.4d
A tank of gas that is currently holding 13.6 gallons is using 1.45 gallons per hour. Is the tank more than half full of gasoline after 3.5 hours? How much gas does the tank have after 3.5 hours?
Yes! The tank has 8.525 gallons of gas left in the tank.
Simplify the following expression:
26790x + 7348y -26794x + 3548y -34958
-4x +10896y - 34958
The dimensions of a rectangular parking lot are 5x units in length and x units in width. There is a plan for an extension of 11 units to the width of the rectangular parking lot. What is the difference between the area of the original parking lot and the area of the new parking lot?
55x
Joseph is attempting to factor an expression:
-28y - 32b + 48
He wrote 4 (-24y - 28b + 52 ). What error did Joseph make?
Joseph added four instead of factoring out four from the algebraic expression.