Solving equations
Solve for x:
-2x + 5 = 17
x = -6
Evaluate
24
16
Simplify:
One quarter + One third
7/12
State the length of a square with an area of 64 cm2.
8 cm
I flip 2 fair coins. What is the probability I get heads on both coins?
1/4
Solve for x:
39 = 12 - 3x
x = -9
Evaluate:
103 / 52
40
Evaluate, giving a fully simplified answer:
6/5 x 3/9
2/5
A rectangle has width 9 cm and a length of 14 cm. What is its perimeter?
46 cm.
Mr Cook bought a jumper for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
$15.25
Solve for x:
-4(2 + 3x) = 28
x = -3
Simplify:
a3 x a4 x a-6
a
Evaluate, giving a fully simplified answer:
6/8 + 4/5 - 17/10
9/8 (or 1 1/8)
State the height of a triangle if its base is 13 cm and its area is 26 cm2.
4 cm
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
1250 metres
Solve for x:
8 - 2(x + 3) = -16
x = 9
Simplify, leaving your answer as 4x :
43 x 49 x 24
414
Evaluate, giving a fully simplified answer:
2/3 + 5/10 x 7/3
11/6
A square has an area of 100 cm2. What is the radius of the largest circle that can fit inside this square?
5 cm
5 friends are in a netball squad together. There are 2 seats available to them. How many combinations can three of the friends be selected to have a seat?
5 x 4 x 2 = 40 combinations
Solve for x:
9 + 3(2 - x) = 4x + 1
x = 2
Evaluate:
2(33 x 3-3) + 52
27
1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?
54 more printed colored shirts than plain shirts.
A rectangle has a perimeter of 18 cm and an area of 20 cm2. State the dimensions of this rectangle.
4 cm and 5 cm.
If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
1 : 4