Algebra
Evaluate the expression 2x − 3y when x = -2 and y = 9
-27
Jennifer needs to fence her country house block to keep her dog in. The block is a rectangle with length 50 m and breadth 42 m. Fencing costs $13 per metre. What will be the total cost of fencing?
$2,392
Express 60c as a percentage of $5
12%
Is 16, 36, 52 a Pythagoras triad?
yes
What is the y intercept of the linear equation
y= 3x - 1
-1
A plumber charges a $70 call-out fee and then $90 per hour. Write an expression for the total cost (C) of calling a plumber out for (x) hours.
C=70+90x
Find the area of a square if it's perimeter is 20cm.
25cm2
Decrease $63 by 15%
$53.55
A ladder that is 2 m in length is places against a wall 1.2 m from it's base. How far up the wall does the ladder reach?
height = 1.6 m
The point A (-2, 3) is reflected in the y axis. What is point A's new coordinates?
(2,3)
Write an expression for the following statement and then expand it to solve
A number w is tripled, and then 5 is subtracted. The result is doubled.
6w - 10
Calculate the area of a 90o sector with a radius of 3cm. Answer correct to 1 decimal place.
7.1cm2
Calculate the pre-GST price if the final cost to the consumer was $352
$320
A rectangle has a length of 24cm and a perimeter of 62 cm.
Find the length of the rectangle's diagonal.
diagonal = 25
Angle T is complementary to angle Q and co-interior to angle R.
If Q = 60°, what is the size of R?
T= 30o so, R= 150o
A box has a height of x cm. It is 3 times as wide as it is high, and 2 times as long as it is wide. Find an expression for the volume of the box, given that volume = length × breadth × height.
18x3
What is the height of a triangle that has a base of 13 cm and an area of 45.5 cm2.
7cm
Gemma purchased a $400 foal, which she later sold for $750. Calculate the percentage profit Gemma made.
87.5%
Two candles are places 9cm apart. One is 21cm and the other is 34cm in height. What is the distance between the top of the two candles? Give your answer close to 2 decimal places
15.81 cm
The two base angles of an isosceles triangle are equal to 2x and 50 respectively.
What is the value of x?
x = 25
Factorise and simplify the following expression:
7p+14pq
7p(1+2q)
Water is being poured into a fish tank at a rate of 2 L every 10 seconds. The tank is 1.2 m long by 1 m wide by 0.8 m high. How long will it take to fi ll the tank? Give the answer in minutes.
8 minutes
Three different brands of washing powder are on sale. Their prices are shown below.
Work out which brand provides the best value for money.
A) 400g for $2.56
B) 750 g for $5.10
C) 1.2 kg for $7.38
C) 1.2kg for $7.38
What is the base of an isosceles triangle with equal sides of 15 mm and a height of 12 mm. Answer to 2 decimal places.
base = 18 mm
Sarah has achieved 72%, 76% and 84% in her last three assessment tasks. After she received her fourth assessment task result, her new average is 80%
What percentage did Marlene achieve on her fourth assessment task?
88%