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%
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
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 perimeter of a circle with a diameter of 6cm. Answer correct to 1 decimal place.
18.8cm
Calculate the pre-GST price if the final cost to the consumer was $352
$320
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%
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
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%