Easy
Find the value of the expression:
35
243
Which type of function is represented by the equation
y=7x2+2?
Quadratic
Solve for x and y:
2x+y=7
3x-y=8
x = 3
y= 1
My train left Southampton at 06:15 and arrived at Birmingham at 08:48 later that morning. How long did the journey take?
153 minutes
If there are 5 apples and you take away 3, how many apples do you have?
3 apples
If 3 apples cost £1.80, how much will 8 apples cost?
4.80
Give the expanded form of the factored quadratic
(x-3)(x+5)
x2+2x-15
Solve for all values of x:
x2-4x-12=0
x=6
or
x=-2
A train travels from City A to City B at 60 km/h. On the return trip, it travels at 80 km/h. The total travel time for the round trip is 7 hours. What is the distance between City A and City B?
240 km
A savings account offers 5% annual interest. If you invest £200, how much will you have after 2 years?
220.5
Evaluate 2x-5+3x+8=18 for x.
x=3
Give the factored form of the following expanded form quadratic.
24x2-30x-9
3(2x-3)(4x+1)
f(x)=2x-1
g(x)=x2+1,
Find g(f(x)). Give your answer in expanded form.
g(f(x))=4x2-4x+2
A download is 95% complete. What fraction is yet to be downloaded? (Answer in fraction)
1/20
Five years ago, Mary was three times as old as her son. In five years, she will be twice as old as him. How old are they now?
Mary is 30 years old, and her son is 10 years old.
A right-angled triangle has one leg of length 6 cm and the hypotenuse is 10 cm. What is the length of the other leg?
8cm
Solve the equation 100=8x2 for x. Your answer should be given to 3 s.f.
3.54
Solve the equation for all possible values of x.
|8x+6|=46
x=5, x=-6.5
What are the dimensions of the square that has the perimeter and the area equal in value?
square with side length = 4 units
The price of a TV increased by 15% and is now £460. What was the original price?
£400
Use the Pythagorean Theorem to find the unknown lengths.
If a=8 and b=15, c=_____.
c=17.
Solve for x in the equation. Your answer should be fully given in 4 s.f.
500=0.5(6)x2
12.91
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
128 ft
The sum of three consecutive integers is 123. Find the integers.
40, 41, and 42
A cyclist travels 30 km at a constant speed. On the return journey, they reduce their speed by 5 km/h, and the trip takes 1 hour longer. What was the speed on the first leg of the journey?
15 km/h