Radicals
3√6x = 12
2.67 or 8/3
Sam used 6 loaves of bread on an 8 day hiking trip. He wants to know how many loaves of bread he should pack for a 12 day trip.
9 loaves of bread
There are 36 biscuits in a biscuit tin. Bella eats 1/3 of the biscuits. How many does Bella eat?
12 biscuits
Translate:
The sum of a number and two, multiplied by 1/3 is equal to 56.
1/3(n + 2)=56
3x + 2 = 5x - 4
x = 3
√(5x-6) = 12
30
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
18 Tala
A piece of ribbon measures 80 cm. 16% of the ribbon is cut off. What length of the ribbon is cut off?
12.8 cm
Translate:
The opposite of a number is the same as twice a different number.
-x = 2y
2y - 5 - y = -3y
No solution
3√x+5 = 4
59
What is the boy-girl ratio on a team of 20 players if there are 8 boys?
2:3
On the first day of school you get 10 math problems for homework. On the second day you get 160% more problems. How many problems do you have on the second day?
26 math problems.
3 more than twice a number is 12
N= 9/2
Solve for m:
-2m + 6n = 8m - 7
m = (6n + 7)/10
√(x+1) = x -1
3
The ratio of women to men at a college is 9 to 8. There are a total of 5,644 students at the college. How many women attend the college?
2,988 women
If 90 is increased by 110 percent, what is the result?
189
Translate and solve:
A number less than 5 is twice that number plus 3.
n = 2/3
Solve for f:
-f - 7 = 4h + 6
f = -4h - 13
√(2x+1) = -3
No Solution
Dale's Donut Shop makes glazed donuts and creme filled donuts at a rate of 11:4. If there is a total of 120 donuts, how many of them will be glazed?
88 glazed donuts
Julia buys a car for $8000. Each year, the car depreciates (goes down in value) by 10%. How much is the car worth after three years?
$5,832
Translate and solve:
The product of a number and 6 is the same as the quotient of 24 and that same number.
n = 12
h/6 = 2h - 9
h = 54/11