Number Patterns
Find the next three terms:
3, 6, 12, 24,
48, 96, 192
Write an expression:
Katie has m dollars. She spends $45 on a concert ticket. How much does she have left?
m - 45
Simplify:
10f - 4f - f
5f
Complete with <, >, or =
For y = 4
6y ____ 26
6y < 26
Glenda bought z containers of laundry detergent at $9 each. She gave the cashier $50. If z = 3, how much change did she receive?
$23
Find the next three terms in the pattern:
4,000,000
400,000
40,000
4,000
400
40
Write an algebraic expression:
Add 14 to the product of 3 and b
3b + 14
Simplify:
6h + 12 + 2h - 6
8h + 6
Solve.
5b - 13 = 17
b = 6
Garrett is w years old. His mother is 4 times his age. His father is 3 years older than his mother. How old is Garrett's father in terms of w?
4w + 3
What are the next three terms in the pattern?
50, 49, 47, 44, 40
35, 29, 22
Evaluate for t = 156.
t/13
12
Ling has 4m pounds of flour. She buys another 2 packages of flour, each weighing m pounds. How much flour does Ling have now in terms of m?
6m
Raul has 5 boxes of golf balls. Each box contains y golf balls. His father gave him another 8 golf balls. If y = 4, how many golf balls does Raul have altogether?
28 golf balls
An office manager bought 16 boxes of pens, each containing m pens. Workers took 10 pens from the supply room. If m = 5, how many pens are left in the supply room?
70 pens left.
Alex borrowed $155 from his parents to buy an electronic notepad. He repays some of the loan each week. He still owes his parents $125 after week three.
How much is he paying back each week?
$10
A tank has x gallons of water. Tim adds 5 gallons of water in to the tank. He pours the water equally into 4 smaller containers. Write an expression to show how much water is in each container.
(x + 5)/4
Suzie had a ribbon that was 4m inches long. She divided the ribbon in half and then added 6 inches to it. How much ribbon did she have in terms of m.
2m + 6
Solve:
2s + 16 = 4s - 6
s = 11
Henry made (2y + 4) paper airplanes.
Eli made (3y - 9) paper airplanes.
For what value of y will they have made the same number of paper airplanes?
y = 13
A van travels at a speed of 60 kilometers per hour. The van is driving 270 kilometers. How much longer will it take the van to get to its destination after they stop for snacks at 2 hours.
2.5 hours
Write an algebraic expression:
To bake muffins, Matt needs x eggs for every 200 grams of flour. If he used 900 grams of flour, how many eggs did he use?
4.5x
Tom decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for his baseball team.
1) Write an algebraic expression to find the total cost of the food if Tom buys x quarts of ice cream and y boxes of pizza.
2) What is the total cost of Tom’s purchase if x=4 and y=5?
1) 5x + 10y
2) $70
Solve:
2(x + 3) - 4 = 4x - 6
x = 4
Wendy bought 7 handbags. Each handbag costs the same amount. She paid the cashier $100 and received g dollars in change.
If the price of each handbag was more than $10, what is the least possible value of g? (Assume that the cost of each handbag is a whole number).