Castle Guard
For each sum or diff erence, factor out the GCF, and rewrite the sum or diff erence. Ex: 8 + 12 = 4(2 + 3)
35 + 14
7(5+2)
20 Tablespoons = _____________ cups
(Image on TV)
1 1/4 cups
Bitsi has less than $25.
x < 25
Margie was getting ready to order the invitations to her wedding. Each wedding invitation costs $4.25. She’s not sure exactly how many invitations she will send (n). She also needs to add the postage (p) for each invitation. Write an expression to represent how much her invitations plus postage will cost.
4.25n + pn or n(4.25 + p)
Solve each problem below by using a table of equivalent ratios, a tape diagram, a double number line or an equation. Pay attention to whether the part or the whole is unknown.
75 is 15% of what number?
500
For each sum or diff erence, factor out the GCF, and rewrite the sum or diff erence. Ex: 8 + 12 = 4(2 + 3)
30-25
5(6-5)
36 tablespoons= _________ cups
(Image on TV)
2 1/4 cups
Rowan has no more than $25.
x ≤ 25
David went into a fl oral shop to buy his mother some fl owers. Depending on the season, carnations cost c dollars; roses cost r dollars; and tulips cost t dollars. Vases are $12. Write an expression to represent David’s cost for 4 carnations, 5 roses, 3 tulips, and a vase.
4c + 5r + 3t + 12
Solve each problem below by using a table of equivalent ratios, a tape diagram, a double number line or an equation. Pay attention to whether the part or the whole is unknown.
What is 60% of 210?
126
For each sum or diff erence, factor out the GCF, and rewrite the sum or diff erence. Ex: 8 + 12 = 4(2 + 3)
18+42
6(3+7)
5.5 cups = _________ tablespoons
(Image on TV)
88 tablespoons
Jean-Luc has at least $25.
x ≥ 25
Taylor wants to be a professional basketball player. He knows that he needs to practice a lot. Each day after school he shoots baskets at a rate of 80 baskets per hour. Write an expression to represent how many baskets Taylor shoots after h hours.
80h
Joey brought 17 baseball trading cards to school. This represents only 20% of his collection. How many trading cards does he have in his whole collection?
Joey has 85 cards in his whole collection.
For each sum or diff erence, factor out the GCF, and rewrite the sum or diff erence. Ex: 8 + 12 = 4(2 + 3)
26-13
13(2-1)
1/8 cup = ____________ tablespoons
(Image on TV)
2 tablespoons
Dak has more than $25.
x > 25
Jim is in charge of the payroll at work. He has 3 employees: Marie, Doug, and Lars. Marie gets paid $10.50 an hour and works m hours; Doug gets paid $10.25 an hour and works d hours; Lars gets paid $11.75 an hour and works l hours. Write an expression to represent how much Jim will pay his employees, in total, for one pay period.
10.50m + 10.25d +11.75l
Country music makes up 75% of Ashley’s music collection. If she has 33 albums that are by country artists, how many albums does she have in her entire music collection?
Ashley has 44 albums in her entire music collection.
Anjelah is making snack bags for a hiking trip with her friends. She has 28 granola bars and 35 packs of string cheese. If the snack bags are to be identical without any food left over, how many snack bags can Anjelah make?
LCM or GCF
Anjelah can make 7 snack bags, each with 4 granola bars and 5 string cheese packs
In México, the speed limit signs are in kilometers per hour. What would this same speed be in miles per hour? (There are approximately 1.6 kilometers in a mile.)
50 km × 1 mi/1.6 km = 31.25 miles per hour
Bungee America has a weight limit of 265 pounds. Write an inequality that represents acceptable weights, w, for people who want to bungee jump.
w ≤ 265
DeDe stopped by a stand at the farmers market and saw the pricing below. Write an expression to represent the total cost if DeDe bought a carton of tomatoes, an unknown amount of banana peppers, an unknown amount of apples, and 2 cucumbers.
(Image on TV)
5.00 + 1.25b + 3.00a + 1.00
Tyrell took a history test. He answered 21 of the 25 questions correctly. In order to get an “A” on the test he needs to get at least a 90%. Did Tyrell get an “A” on his history test? Explain your reasoning.
Tyrell did not get an “A” on his history test. 21 out of 25 questions correct is an 84%.