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 width 42 m. Fencing costs $13 per metre. What will be the total cost of fencing?
$2,392
find 56% of 80
44.8
Here are shoe sizes of some students:
37, 34, 40, 41, 37, 35
What is the range of this data?
7
Simplify 12:36
1:3
Simplify:
a2 + 5b - 2a2 + 3ab + ab - b + 5a2
4a2 + 4ab + 4b
A right triangle has a leg length of 6 and a hypotenuse of 10. Find the length of the other leg.
8
Find 2/9 of $63
$14
Find the mode and the mean for this set of data.
12, 4, 3, 16, 12, 9, 7, 12, 4, 11
mean 9
mode 12
4, 5, 6, 7
Solve for x:
10=3x+1
x=3
A square with a side length of 2 units is centered on (1,1). The square is transformed by the vector below. Find the new center.
([2],[3])
(3, 4)
Write 4300 in standard form.
4.3 * 103
There are 5 numbers in a hat. The lowest number is 10, the range is 8. The median is 12. The mode is 10. The mean is 13. Find the 5 numbers.
10, 10, 12, 15, 18
Solve the inequality:
3x+12<15
x<1
Simplify:
2(x+4)-3(x-2)
-x+14
What is the height of a parallelogram that has a base of 13 cm and an area of 45.5 cm2.
7cm
4/2 + (22+3)2 x 2 - 21
79
Here is a frequency table of ages in a class:
AGE FREQUENCY
5 12
6 8
7 11
8 4
Find the mean age.
6.2
Divide $144 into the ratio 9:3:6
$72 $24 $48
Solve for x:
3x-1=5x+4
x=-2.5 or -5/2
A rectangle has a length of 2x-1 and a width of 3x. Find an expression for the area of this rectangle.
6x2-3x
Find the HCF and LCM of 124 and 105
hcf 21
lcm 630
The mean of 12 scores is 60. Another score is added and the new mean becomes 62. What is the score?
86
James andy and bob share money in a ration of 9:5:6 James Recieves $24 more than andy.
How much did they share all together
$120