9.4 Deriving and Using Formulae | Baamboozle - Baamboozle

Rearrange the formula to make the variable inside the bracket as subject

(y - c) / x

Rearrange the formula to make the variable inside the bracket as subject

(a - 3) / 7

Make x the subject of this formula; 49x = 7y + 1

x = 7y +1 /49

Make x the subject of this formula; x - 10y = −7

x = 10y - 7

Make x the subject of this formula; 8x -13y = 4

x = 13y + 4 / 8

Make x the subject of this formula; x - 18y = 6

x = 18y + 6

Make y the subject of this formula; 7x =14y − 5

y = 7x + 5 /14

Make y the subject of this formula; 6x =18y − 6

y = x + 1 / 3

Make y the subject of this formula; x =18y − 6

y = x + 6 /18

Make x the subject of this formula; x + 16y = −11

x = -16y - 11

Make x the subject of this formula; x- 6y = −4

x = 6y - 4

Make x the subject of this formula; y =5x+2

x = y -2 / 5

Make y the subject of this formula; ; x=4y−3

y = 3 + x /4

Make y the subject of this formula; x = 2y+5

y = x - 5 / 2

Make y the subject if this formula; x = 3y -1

y = x +1 / 3

Make x the subject of this formula; x - y = 6

x = 6 + y

Make x the subject of this formula; 2x + 4y = 12

x = 6 - 2y

Make y the subject if this formula; 3x - y = 6

y = 6 - 3x

Rearrange the formula to make the variable inside the bracket as subject

(y - c) / x

Rearrange the formula to make the variable inside the bracket as subject

(a - 3) / 7

Jennie thinks of a number, p, double it, and add with 5. The result is 27. Write this as an equation in terms of p, and solve the equation.

see the picture

Joe thinks of a number, n, triples it, and subtracts 3. The result is 42. Write this as an equation in terms of n, and solve the equation.

see the picture

A person can pay $12.64 for a membership to the science museum and then go the museum for $1.07 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $14.78?

2

A plumber charges $21.02 to visit a client's home, plus an additional $23.84 per hour. What is the duration, in hours, of a plumber's visit that costs $68.70?

2

A photographer charges $16.90 to travel to a client's location, plus $25.25 per hour for his services. What is the duration, in hours, of a photography session that costs $92.65?

3

The charity gala costs a flat fee of $11.89, plus an additional $5.72 per attendee. How many attendees can there be, at most, if the budget for the gala is $91.97?

14

Hiếu Minh already has 18 plants in her backyard, and she can also grow 7 plants with every seed packet she uses. How many seed packets does Hiếu Minh need to have a total of 53 plants in her backyard?

5

Nguyên's office recycled 63 kg of paper this year before starting the new recycling plan; the new plan will have the office recycling 5 kg of paper/week. How many weeks will it take Nguyên's office to recycle a total of 83 kg of paper?

4

Yuan sets his watch 20 seconds behind, and it falls behind by another 4 seconds each day. How many days has it been since Yuan last set his watch if the watch is 40 seconds behind?

5

When ringing up a customer, a cashier needs 11 seconds to process payment as well as 4 seconds to to scan each item being purchased. If it takes 43 seconds to ring up a customer, how many items are being purchased?

8

Dung's birthday party costs $1 plus an additional $8 for every guest she invites. How many guests can there be, at most, if Dung can afford to spend $41 on her birthday party?

5

Phương Anh already knew 16 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes each week of school. After how many weeks of culinary school will Phương Anh know a total of 37 recipes?

7

Minh Anh had already read 1 book before joining a book club, and she plans to read 7 books per month now that she has joined. If Minh Anh has read 50 books so far, how many months has she been with her book club?

7

Danh has already baked 2 pies, and he can bake 3 pies with each additional cup of sugar he buys. How many extra cups of sugar does Danh need to bake a total of 38 pies?

12

Khôi learns two new appetizer recipes during each week of culinary school. After how many weeks of culinary school will Khôi know a total of 18 recipes?

9

Đăng scores 21 points per coin. In all, how many coins does Đăng have to collect to score 42 points?

2

Hùng's graduation picnic costs $9 for every attendee. At most, how many attendees can there be if Hùng budgets a total of $36 for his graduation picnic?

$4

A hiking club charges an initial fee of $60 and then $12 for each hiker. Write an expression to model the total cost and then evaluate the expression for 1 to 6 hikers.

72, 84, 96, 108, 120, 132

A hot-air balloon is at a height of 2,250 feet. It begins to descend at a rate of 150 feet per minute. Write an expression to model its height after m minutes. Then evaluate the expression for 2, 4, 6, 8, and 10 minutes.

1950, 1650, 1350, 1050, 750

Trân buys x shares of stock in a company at $34.50 per share. She later sells the shares at $40.50 per share. Write an equation to show how much money, m, Trân has made.

m= x($40.50 - $34.50)

Autumn buys an item which normally sells for a certain price, x. Today the item is selling for 25% off the regular price. A sale tax of 6% is added to the equation to find the final price, f.

0.06 (x * 0.25) = f

Old Navy advertises a 40% off graphic tees for babies. What would the sale price (p) be on a $2530 purchase?

$2,530 * 0.40 = p

Rearrange the formula " -9t^2+12y=11H^2 " to make "y" the subject.

y = (11H^2+9t^2)/12

Rearrange the formula " 9y-10s=9C+7W " to make "y" the subject.

y = (9C+7W+10s)/9

Rearrange the formula " 12v/11H=5u " to make "v" the subject.

v = (55Hu)/12

Rearrange the formula d/s=C to make "s" the subject.

s = d/C

Rearrange the formula BMI=m/h^2 to make "m" the subject.

m = BMI × h^2

Using the formula F = ma to work out the value of m when F = 34 and a = 2.5

13.6

Given v = u + at, make "t" the subject of the formula.

t=(v-u)/a

Given v = u + at, make "u" the subject of the formula.

u = v - at

Here is the price list of some stationery in a stationery store. (The price is only for one item) Pencil (P) = $2 Ruler (R) = $3 Pencil Case (C) = $6. If Trúc gives this note to the cashier: 3R + 2C, what is the total price she

$21

Here is the price list of some stationery in a stationery store. (The price is only for one item); Pencil (P) = $2; Ruler (R) = $3 Pencil Case (C) = $6. If Khánh buys 3 pencils and 3 rulers, what is the total price she has to pay?

$15

The formula used in science is: V = I. R where V is the voltage, I is the current, and R is the resistance. Work out the value of V when I = 5 and R = 12

60

The formula used in science is: V = I. R where V is the voltage, I is the current, and R is the resistance. Work out the value of V when I = 3 and R = 8

24

make t the subject of the formula: k= t/5-m

t= (k+m) x 5

make t the subject of the formula: m=7t+9

t=(m-9)/7

Aldi buys and sells paintings. he uses the formula shown to work out the percentage profit he makes. work out Aldi 's percentage profit if the cost price is $250 and the selling price is $300

16,67%

use the formula v= u + at to work out the value of u when v=75, a=4, t=12

u=27

use the formula v= u + at to work out the value of v when u=7, a=10, t=8

v=87

use the formula F=ma to work out the value of F when m=12 and a= 5

F= 60