Algebra
5x + 3 = 7x – 1. Find x
5x + 3 = 7x – 1
3 + 1 = 7x – 5x
4 = 2x
4/2 = x
2 = x
Two coins are tossed, find the probability that two heads are obtained.
1 / 4
What fraction of a disc has been used if 20% was used.
1/5
A right angled triangle has a base of 5 cm and a hypotenuse of 13 cm, and another edge labelled x. Find the value of x:
x = 12
Convert this percentage to a decimal:
16.3%
0.163
5x + 2(x + 7) = 14x – 7. Find x
5x + 2(x + 7) = 14x – 7
5x + 2x + 14 = 14x – 7
7x + 14 = 14x – 7
7x – 14x = -14 – 7
-7x = -21
x = 3
Which of these numbers cannot be a probability?
a) -0.00001
b) 0.5
c) 1.001
d) 0
e) 1
f) 20%
a)
What are the two main forms of data.
Categorical and Numerical
What is the perimeter:
19.2
Increase 95 kg by 60%
152 kg
A number is increased by 2 and then multiplied by 3. The result is 24. What is this number?
x + 2 = 24 / 3
x + 2 = 8
x = 8 – 2
x = 6
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
1 / 4
Find the mode:
47.31, 47.20, 47.24, 47.21, 47.31, 47.20, 47.31
47.31
Find the area of a right angled triangle with a hypotenuse of 5 and other side lengths of 3 and 4.
6m^2
Julie buys a bike for $2700 and sells it a year later, making 15% profit. How much profit did Julie make?
$405
5(z + 1) = 3(z + 2) + 11 Solve for Z
5(z + 1) = 3(z + 2) + 11. Z=?
5z + 5 = 3z + 6 + 11
5z + 5 = 3z + 17
5z = 3Z + 17 – 5
5z – 3z = 12
2z = 12
z = 6
A card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond.
1/52
What is the median of this set of data?
10, 3, 5, 9, 4, 3, 10
5
A Parallelogram has a height of 8m and a base of 17m.
What is the area?
136m^2
What is the new price of a pair of jeans worth $83.94 if they are discounted by 40%?
$50.36
(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?
7(x – 2) / 28 – 4(3x + 5) / 28 = – 3.28 / 28
7(x – 2) – 4(3x + 5) = – 84
7x – 14 – 12x – 20 = – 84
– 5x = – 84 + 14 + 20
– 5x = – 50
x = 50/5
x = 10
A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?
1/2
What is the mean in these set of score:
12, 13, 14, 17, 21, 24, 26, 27
19.25
A large square with 16m side lengths has a square hole in the middle with 10m side lengths. Find the area of the larger square.
156m^2
Winter coats priced at $830 were reduced by 15% at the end of season sale. On the last weekend of the sale, they were reduced by a further 40% off the discounted price. What was the final price of a coat?
$423.30