Isolating a variable in the formula - practice problems - page 3 of 49
Number of problems found: 967
- Parallel sides
Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium.
- Three workers
A can do a work in 16 hours, and B alone in 24 hours. If A, B, and C work together and finish it in 8 hours, then C alone can finish it in how many hours?
- A rectangle 14
A rectangle is 8 cm long and 5 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. From an equation in x, find the new length of the rectangle.
- The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP.
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?
- The bill 2
I paid 3/5 of the bill. If 400 USD of the bill is still due, what was the total amount of the bill?
- Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
- Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .
- NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block
- Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
- 13 times
1/3 times the sum of a number, and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box.
- The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?
- Tomato plant
Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10
- Horseback riding
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply. Responses: A = 4(3x+2) B = 3(4x+
- The bedroom
The area of the rectangular bedroom is 136 5/8 square feet. If its width is 12 3/4 feet, find its length in simplest form.
- Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together?
- Gift card
Lauren was given a gift card for a coffee shop. Each morning, Lauren uses the card to buy one cup of coffee. The original amount of money on the gift card was $10, and each cup of coffee costs $2. Make a table of values and then write an equation for A, i
- An orange
An orange Grove has 858 trees. There are 33 rows, each with the same number of trees. How many trees are in each row
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