Algebraic Expressions
Write an algebraic expression for this phrase:
four more than the price, p
p+4
m+2.3=9.4
m=?
m=7.1
The sum of fifteen and six times a number t is eighty one. What is the number?
15+6t=81
5x+8=23
x=3
10-19+5
-4
Simplify the expression
20(10+4z)
200+80z
z-2.3=0.46
z=2.76
Write as an equation
A number s is subtracted from seven. When the result is divided by three, the quotient is two. What is the number?
(7-s)/3=2
-2p-4=2
p=-3
7-21+13
-1
Factor the following expression
6s+18t+3w
3(2s+6t+w)
Fifteen tickets cost $193.75. What is the average cost of each ticket?
(Because we are using money you will need to round to the nearest hundredth)
$12.91
As gym charges a sign up fee of $40 and charges an additional $12 a month. Last year you paid $300. Write an expression to show the total cost for m months.
40+12m=300
s/3-4+2
s=18
0.3+(-5.5)+5.2
0
A construction worker bought several bottles of juice for $3 at the convenience store. She paid for them with a $20 bill. If j represents the number of bottles of juice, write an expression for the change she should receive.
20-3j
A driver uses 2.7 gallons of gasoline to drive her car 72.9 miles. What was her car's mileage?
27 miles per gallon
A tutor works with a group of students. The tutor charges $40 plus $30 for each student in the group. Today the tutor has s students and charges a total of $220.
40+30s=220
Two years of local internet service costs $685, including the installation fee of $85. What is the monthly fee?
685=85+24f
f=25 dollars per month
Express as a unit rate
28 patients for 2 nurses
14 patients per nurse or 14:1
An electrician has $120 to spend on interior light fixtures. The wholesale price for a 13 watt-low energy lamp is $4. The price for a high energy lamp is $5.
Write an algebraic expression for how much the electrician spends for a units of the low-energy lamp and b units of the high energy lamp.
120=4a+5b
A soccer team won three fourths of its games. The team won 18 games. How many games did the team play?
Problem:
One step:
Answer:
(3/4)x=18
multiply each side by the reciprocal of 3/4
Answer: 24 games
A customer's total cell phone bill this month is $50.50. The company charges a monthly fee of $18.00 plus 5 cents for each call. Use n to represent the number of calls.
50.50=18.00+.05n
A runner warms up for ten minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes. How many miles are run?
m=5 miles
Bill got a 75% on his math test. There were 120 questions, how many questions did Bill get right?
90 questions