Evaluating
Solve:
5u given u = 6
30
Distribute:
2(4x + 5y)
8x + 10y
Fully factor:
2x + 4
2(x + 2)
Add the expressions:
(4s + 6) + (2 + 3s)
7s + 8
The county fair is this weekend! It costs $7 for admission and $2 for each ride ticket. Write an algebraic expression representing how much money I will spend if I go on r rides.
7 + 2r
Solve:
4p given p = -6
-24
Combine Like Terms:
5a + 7b - 4a + 3b
a + 10b
Fully factor:
8p - 24q
8(p - 3q)
Add the expressions:
2(3t + 2) + (4t - 3)
10t + 1
At the grocery store, I buy w watermelons at $5 each, and b bananas for $2 each. Write an algebraic expression that represents how much I spent on fruit at the store.
5w + 2b
Solve:
7x + 4 given x = 3
25
Distribute:
6(6f - 5g)
36f - 30g
Fully factor:
14n - 21m
7(2n - 3m)
Subtract the expressions:
(7x + 5y) - (4x + 3y)
3x + 2y
Mr. Manz has a bag of 52 Jolly Ranchers. A student steals 2 Jolly Ranchers per day. Write an algebraic expression to represent how many Jolly Ranchers I have left after d days.
52 - 2d
Solve:
8s + 5 given s = -2
-11
Combine Like Terms:
6c - 5d - 8c - 4d
-2c - 9d
Fully factor:
30y + 75z
15(2y + 5z)
Add the expressions:
3(7a - 3) + 2(4a + 4)
29a - 1
An Olympic Size Swimming Pool has about 660,000 gallons of water. A water pump can drain water at a rate of 500 gallons per minute. Write an algebraic expression to represent the amount of water left in the pool after m minutes.
660,000 - 500m
Solve:
4f + 5g given f = 5 and g = -3
5
Distribute:
-(j - 5k)
-j + 5k
Fully factor:
39f + 13g - 52h
13(3f + g - 4h)
Subtract the expressions:
3(5t - 4) - 2(5t - 3)5t - 6
Mr. Manz has always wanted a Labrador. His mom gives him $100 to start saving for his dog, and Mr. Manz puts away $50 from his paychecks each month. Write an algebraic expression to represent how much money is in Mr. Manz's dog savings, AND find out how much he has saved after 6 months.
Algebraic Expression: 100 + 50m
After 6 Months: $400