Basic word problems
Cade had 87 marbles. He gave 18 to Dylan and 6 to Sam. How many does he have left?
87 – 18 – 6 = 63 Cade has 63 marbles left.
What does the Order of Operations stand for?
PEMDAS; The rules that tell us the sequence in which we should solve an expression with multiple operations.
0.0736
7.36 x 10^-2
Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter. Of the 10 books on fairy tales, Gilly borrowed 3. What fraction of the books on fairy tales did she borrow?
3 out of 10=3/10 Gilly borrowed 3/10 of the fairy tale books.
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the safe zone. Let represent the distance (in meters) from the safe zone after seconds. Complete the equation for the relationship between the distance and number of seconds.
y=-24x+166
The aquarium has a lot of fish tanks. They bought 18 more fish and now the aquarium has 149 fish. How many fish did the aquarium have to begin with?
149 – 18 = 131 The aquarium had 31 fish to begin with.
Evaluate 3+6×7
45
0.0002
2 x 10^-4
If each dozen cookies needs 3/4 of a bag of flour to make, how many bags of flour does grandma needs to buy if she is making 10 dozen cookies?
3/4 × 10 = 30/4 = 15/2 =7 1 7 1/ 2 is between 7 and 8. So, grandma needs to buy 8 bags of flour.
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400.
Let represent the total fee (in dollars) of a trip where they climbed vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.
y=0.1x+100
Alyssa had 129 cookies. Aiyanna has 140 cookies and 34 crackers. How many more cookies does Aiyanna have than Alyssa?
140 – 129 = 11 She has 11 more cookies
Evaluate 12−8÷2
0.00862
8.62 x 10-3
Amy has 72 sweets in a bag. She keeps 1/4 of them for herself and shares the rest with friends. How many sweets will she give to her friends?
She keeps 72 x1/4 = 18 sweets. She gives away 72 – 18 = 54 sweets. She gives away 54 sweets.
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $32.
Let represent Carolina's fee (in dollars) for a single job that took hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
y=6x+8
Daniel had some noodles. He gave 12 noodles to William. Now Daniel only has 54 noodles. How many noodles did Daniel have to begin with?
54 + 12 = 66 Daniel had 66 noodles to begin with.
Evaluate 3(2+4×6−3)
69
0.00067
6.7 x 10^-4
Of 100 children in Grades 5 and 6, three-quarters have pets; 40 children have a dog, and 18 children have a cat. How many children have other kinds of pets?
100 x 3/4 = 75, so 75 children have pets. 75 – 40 – 18 = 17 17 children have other kinds of pets.
A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets, they had a net profit of $12,000. They had to sell a few tickets just to cover necessary production costs of $1,200.
Let represent the net profit (in dollars) when they have sold tickets.
Complete the equation for the relationship between the net profit and number of tickets sold.
y=66x-1200
Hayley had 25 meatballs and 6 potatoes on her plate. Kirsten stole some of her meatballs. Now Hayley has 11 meatballs on her plate. How many meatballs did Kirsten steal?
25 – 11 = 14 Kirsten stole 14 meatballs
Evaluate 42+2(14−8)÷3
20
0.004526
4.526 x 10^-3
Steven says, “I would rather have 5/9 of $72 than 4/6 because I will get more to spend.” Is he correct?
72 x 5/9 = 40 72 x 4/6 = 48 He is wrong because 4/6 would give him $48 instead of $40.
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.
Let y represent the distance (in meters) from the safe zone after seconds (x).
Complete the equation for the relationship between the distance and number of seconds.
y=-25x+160