Find the sum.. −3/2 + 8/5
To find the sum of fractions, we need to have a common denominator.
The common denominator for 2 and 5 is 10.
Rewriting the fractions with the common denominator:
-3/2 = -15/10
8/5 = 16/10
Now, we can add the fractions:
-15/10 + 16/10 = 1/10
Therefore, the sum of -3/2 and 8/5 is 1/10.
Evaluate this expression.
7.4 − (−3.7)
To evaluate this expression, we can simply subtract the two numbers:
7.4 - (-3.7)
When subtracting a negative number, we can change it to addition:
7.4 + 3.7
Adding the numbers gives us:
= 11.1
Therefore, the value of the expression 7.4 - (-3.7) is 11.1.
Evaluate this expression.
75.5 − 32.55
To evaluate this expression, we can subtract the two numbers:
75.5 - 32.55
Subtracting the numbers gives us:
= 42.95
Therefore, the value of the expression 75.5 - 32.55 is 42.95.
What is 4−1 1/4+1/2?
To solve this expression, we need to work from left to right using the order of operations.
First, we'll subtract 1 from 4:
4 - 1 = 3
Next, we'll add 1/4 to 3:
3 + 1/4
To add the fractions, we need a common denominator. The common denominator for 4 and 1 is 4.
3 can be rewritten as 12/4:
12/4 + 1/4 = 13/4
Finally, we'll add 1/2 to 13/4:
13/4 + 1/2
To add these fractions, we need a common denominator. The common denominator for 4 and 2 is 4.
13/4 can be rewritten as 26/8:
26/8 + 1/2 = 26/8 + 4/8 = 30/8
The fraction 30/8 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:
30/8 ÷ 2/2 = 15/4
Therefore, the value of the expression 4 - 1 1/4 + 1/2 is 15/4.
What is the value of the expression -17.03 + (-17.204)?
To find the value of the expression -17.03 + (-17.204), we simply add the two numbers:
-17.03 + (-17.204)
When adding two negative numbers, we can change it to subtraction:
-17.03 - 17.204
Subtracting the numbers gives us:
= -34.234
Therefore, the value of the expression -17.03 + (-17.204) is -34.234.
Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11
The THREE correct evaluations are:
B −25 + (−25) = 0
C 89 − (−17) = 106
D 134 − (−16) = 118
Simplify.
425.82 − (−120.75)
To simplify the expression 425.82 - (-120.75), we can change the double negative to addition:
425.82 + 120.75
Adding the numbers gives us:
= 546.57
Therefore, the simplified value of the expression 425.82 - (-120.75) is 546.57.
What is the value of the expression −649−113?
Responses
A
7 7
97 7 9
B
-7 7
9-7 7 9
C
5 1
95 1 9
D
-5 1
9-5 1 9
The value of the expression -649 - 113 is -762.
Therefore, none of the given options are correct.
Simplify.
7.829 − 3.21
To simplify the expression 7.829 - 3.21, we can subtract the two numbers:
7.829 - 3.21 = 4.619.
Therefore, the simplified value of the expression 7.829 - 3.21 is 4.619.
A Day at the Beach
Rob Baur
1Because Lola's family invited Emma to join them on their annual trip to the ocean, Lola and Emma—who were best friends—were thrilled about their upcoming vacation at the beach. On the day of the trip, Lola, her family, and Emma packed the car and drove toward the shore. The drive was long, and they didn't reach the beach until it was already dark. It was difficult to see, and Lola's father passed the hotel and had to turn around. Finally, Lola's family reached their destination. Exhausted from their trip, they all went to sleep as soon as they arrived.
2The next day, Lola and Emma—who were accompanied by Lola's parents and her young brothers—gathered their towels, sunscreen, and umbrellas and walked to the beach. After arriving, Lola and Emma put up their umbrellas and rolled out their towels.
3After all the clouds parted and the sun rose high in the sky, Lola and Emma waded in the water to cool themselves. After a few minutes, the girls decided to go back to their towels. Lola turned and started to walk toward her towel; however, when she reached the dry sand, she jumped back with a yelp. The sand was extremely hot, and it burned her feet. Because the girls had not brought their sandals with them to the water, they sprinted back to their towels and winced with each step.
4Back at their towels, Lola and Emma noticed that Jake and Matt, Lola's brothers, were busy building a sandcastle. The castle had elaborate designs carved on its tops and sides. Lola and Emma were impressed with boys' building skills. Just then, Jake and Matt noticed the tide coming in, and they moaned grimly. The castle would collapse if the water touched it.
5Although Jake and Matt panicked at the thought of losing their creation, Lola and Emma quickly devised a plan to save the castle. Right before summer break, the girls learned about irrigation and drainage in their science class, and they knew they could use that information to stop the water from collapsing the castle.
6With Jake and Matt's help, the girls dug a deep moat around the castle's exterior. Then they dug two long canals leading toward the rising tide and two short canals leading away from the surf and into deep reservoirs. Just as they completed their drainage system, the waves rushed into the lower canals. Much to the boys' relief, the canals easily led the water around the castle and into the two reservoirs. Lola and Emma were relieved that they helped Jake and Matt, and they were pleased that they not only remembered, but also used information they learned in school.
Question
Why did Lola's father pass the hotel?
Responses
A He was thinking about Jake and Matt's sandcastle.He was thinking about Jake and Matt's sandcastle.
B It was difficult for him to see because it was dark.It was difficult for him to see because it was dark.
C He was distracted because the car was uncomfortable.He was distracted because the car was uncomfortable.
D The sun was bright, making it difficult for him to see.The sun was bright, making it difficult for him to see.
B It was difficult for him to see because it was dark.
Rainbow Crow Brings Fire
Lenape legend
Rainbow Crow was the most beautiful and enchanting creature on Earth. The other animals in the world were amazed by his beauty. His feathers were all the colors of the rainbow and sparkled like raindrops in the sunlight. Rainbow Crow also had a lovely song that made all Earth’s creatures happy when they heard it. The other animals looked up to Rainbow Crow and depended on his leadership.
All the animals lived together mostly in harmony. They were happy living in the warm sun. Then one day, the Snow Spirit appeared. The Snow Spirit brought freezing temperatures and ice. The animals shivered in the cold and could not hunt the way they used to. The animals talked to Rainbow Crow and begged him to help them. They wanted him to talk to the Creator and ask the Creator for help.
Rainbow Crow agreed to help the animals. He knew his beautiful song was difficult for anyone to resist, so he planned to sing a song for the Creator in hopes of gaining a favor in return. Rainbow Crow planned to fly the far distance to see the Creator in the sky. Rainbow Crow started on his journey, and he flew and flew until his muscles ached. He looked out at his beautiful wings, which looked rumpled and dull from the wind and dust. But, Rainbow Crow continued on as he would not give up on his journey. Finally, he reached the area where the Creator lived. He took a deep breath and began to sing his beautiful melody. The tune was soft but elegant. Soon, the Creator said, “Rainbow Crow, is that you? Come into my house, so you can entertain me with your beautiful song.”
Rainbow Crow flew into the Creator’s home and entertained him with another song. When he was finished singing, Rainbow Crow told the Creator about the animals’ plight. The Creator felt bad for the animals. He told Rainbow Crow that he wanted to help; however, he could not make the Snow Spirit leave. Instead, the Creator said he would give the animals fire.
“Fire will help you stay warm, even when it is cold and snowy. But I must warn you, fire is a powerful tool, and you must always treat it with care,” said the Creator.
The Creator held a long branch up to the sun, and the end of the branch began to crackle and smoke. Eventually the branch burst into flames, and Rainbow Crow felt the warmth of the fire burning on the stick.
“Fly quickly back to Earth, Rainbow Crow, or the fire will burn up the whole branch and be lost. I will not give you a second chance.”
Rainbow Crow was nervous. He realized that the other animals were depending on him. He snatched the branch from the Creator’s hand. “I understand, and I will deliver the fire back to Earth.”
Rainbow Crow flew as quickly as he could. He felt the warmth of the fire at the end of the branch. The fire’s light was very bright, and he had to narrow his eyes because of it. As the time passed, the fire burned farther down the branch. The black smoke trailed from the fire like long strings. As the strings came nearer to Rainbow Crow, the smoke burned his throat and made him cough.
Rainbow Crow could see the forest, but he was becoming very nervous. The fire was burning much farther down the branch. He adjusted the branch in his mouth so that he was holding only a very small portion in his beak. The fire burned closer and closer to Rainbow Crow, and his beautiful feathers began to be coated in gray from the soot. His throat and eyes burned.
Only a bit farther, he told himself. He started to fly even faster and finally reached the forest. The animals cheered, and Bear took the branch from Rainbow Crow’s beak. Bear placed the stick on a pile of twigs. Woosh! The twigs caught fire. The animals added more wood, and soon they had a large bonfire.
In all their excitement, the animals had nearly forgotten about Rainbow Crow. Then Bear turned to thank the bird. Bear could hardly believe his eyes. Rainbow Crow looked completely different. The fire had burned and stained his feathers black. His beak was gray. When Rainbow Crow opened his beak to sing, he could make only a loud squawk because the smoke had damaged his voice. From that day on, all the animals of the forest called him Crow. They were always thankful to Crow for sacrificing his beautiful feathers and singing voice so they would have fire.
The other animals depended on Rainbow Crow for:
- His leadership.
- Entertaining them with his beautiful song.
- Seeking help from the Creator.
Rainbow Crow sacrificed his:
- Beautiful feathers that got burned and stained black.
- Singing voice which was damaged by the smoke.
The fire that Rainbow Crow brought was meant to help the animals stay warm in the cold and snowy weather.
9 of 109 of 10 Items
01:10:32
Feature
Saving a Garden in Need
Kyle Ellington
Characters:
MR. TORRES, science teacher
ELI, student
BROOKE, student
JENNA, student
MARTY, student
Scene 1
1(A sunny afternoon at Glenside Middle School. A science classroom. STUDENTS are talking and waiting for class to begin. MR. TORRES goes to the front of the room to speak.)
2MR. TORRES: If I can have your attention, please, I have some thrilling news to share. A local philanthropist donated an assortment of trees, bushes, and other plants for our school to construct a garden. It will be a magnificent development for both our school and the local environment.
3ELI: That’s wonderful news, Mr. Torres. Where will the garden be located? We don’t have a very large campus.
4BROOKE: I hope they don’t plan to take over the baseball field, because the playoff competition begins in two weeks.
5MR. TORRES: Not to worry. The administration selected a portion of land alongside the school. Maintenance workers will begin planting the garden early next week. Some of the plants are extremely fragile, and it is of utmost importance to plant them soon.
Scene 2
6 (In MR. TORRES’s afternoon science class, one week later. STUDENTS are talking.)
7ELI: The thunderstorm last night was horrible; a group of angry, dark clouds surrounded my house for hours.
8JENNA: The torrent of rain made such a commotion that I thought my roof might cave in!
9BROOKE: Have any of you seen the baseball field? Water is completely covering the outfield, and the playoff competition begins next week. It will take the maintenance crew a long time to clean up that mess.
10JENNA: I wonder what happened to the plants that the philanthropist donated to our school. Mr. Torres indicated that the plants couldn’t last long in those containers.
11 (MR. TORRES enters the room looking dejected and walks toward the front of the classroom.)
12MR. TORRES: Well, class, it appears that we've met with some obstacles in regard to the new garden. The storm last night caused a colossal amount of damage to the campus. The maintenance crew will be bombarded with work for at least a week, which means they will be unable to tackle the garden project. Perhaps the project was too ambitious.
13BROOKE: Mr. Torres, I have an idea. We just completed a unit about green plants and photosynthesis, so perhaps our class could volunteer to create the garden for some hands-on learning.
14MARTY: Brooke, that’s a fantastic idea. I would gladly donate a day for an outdoor excursion. (With a snicker) It sounds better than algebra!
15MR. TORRES: Well— (hesitating) I suppose some real-world experience with plants and sunlight would be very informational—and fun! We’ll have to take a vote to ensure that everyone supports the idea. All those in favor . . .
16 (The STUDENTS all raise their hands and begin to cheer.)
17STUDENTS: Yeah!
The local philanthropist donated an assortment of trees, bushes, and other plants for Glenside Middle School to construct a garden. The administration selected a portion of land alongside the school to plant the garden. However, a thunderstorm caused significant damage to the campus, and the maintenance crew will be unable to tackle the garden project. Brooke suggests that the class volunteers to create the garden for some hands-on learning. The idea is supported by all the students in the class.
9 of 109 of 10 Items
01:27:35
Feature
Saving a Garden in Need
Kyle Ellington
Characters:
MR. TORRES, science teacher
ELI, student
BROOKE, student
JENNA, student
MARTY, student
Scene 1
1(A sunny afternoon at Glenside Middle School. A science classroom. STUDENTS are talking and waiting for class to begin. MR. TORRES goes to the front of the room to speak.)
2MR. TORRES: If I can have your attention, please, I have some thrilling news to share. A local philanthropist donated an assortment of trees, bushes, and other plants for our school to construct a garden. It will be a magnificent development for both our school and the local environment.
3ELI: That’s wonderful news, Mr. Torres. Where will the garden be located? We don’t have a very large campus.
4BROOKE: I hope they don’t plan to take over the baseball field, because the playoff competition begins in two weeks.
5MR. TORRES: Not to worry. The administration selected a portion of land alongside the school. Maintenance workers will begin planting the garden early next week. Some of the plants are extremely fragile, and it is of utmost importance to plant them soon.
Scene 2
6 (In MR. TORRES’s afternoon science class, one week later. STUDENTS are talking.)
7ELI: The thunderstorm last night was horrible; a group of angry, dark clouds surrounded my house for hours.
8JENNA: The torrent of rain made such a commotion that I thought my roof might cave in!
9BROOKE: Have any of you seen the baseball field? Water is completely covering the outfield, and the playoff competition begins next week. It will take the maintenance crew a long time to clean up that mess.
10JENNA: I wonder what happened to the plants that the philanthropist donated to our school. Mr. Torres indicated that the plants couldn’t last long in those containers.
11 (MR. TORRES enters the room looking dejected and walks toward the front of the classroom.)
12MR. TORRES: Well, class, it appears that we've met with some obstacles in regard to the new garden. The storm last night caused a colossal amount of damage to the campus. The maintenance crew will be bombarded with work for at least a week, which means they will be unable to tackle the garden project. Perhaps the project was too ambitious.
13BROOKE: Mr. Torres, I have an idea. We just completed a unit about green plants and photosynthesis, so perhaps our class could volunteer to create the garden for some hands-on learning.
14MARTY: Brooke, that’s a fantastic idea. I would gladly donate a day for an outdoor excursion. (With a snicker) It sounds better than algebra!
15MR. TORRES: Well— (hesitating) I suppose some real-world experience with plants and sunlight would be very informational—and fun! We’ll have to take a vote to ensure that everyone supports the idea. All those in favor . . .
16 (The STUDENTS all raise their hands and begin to cheer.)
17STUDENTS: Yeah!