Earning Money
A worker earns $24 per hour and works 5 hours. How much do they earn?
$120
Simplify 4x + 3x
7x
Solve for x: x+7=15
x=8
In SOHCAHTOA, which trig ratio uses opposite and hypotenuse?
Sine
What is the coefficient in 5x?
5
A worker earns $30 per hour on Saturdays due to penalty rates. They work 6 hours. How much do they earn?
$180
Expand and simplify: 3(x+5)
3x+15
Solve for x: 3x=27
x=9
Find sin(30) to 1dp
0.5
Simplify 5x/4 - x/3
11x/12
What is the difference between a salary and a wage?
Salary: fixed annual amount
Wage: hourly rate
Factorise: 6x+18
6(x+3)
2x+5=17
x=6
A right-angled triangle has a hypotenuse of 10 cm and an opposite side of 5 cm. Find the angle.
missing angle = 30*
Full factorise 18ab + 12b2a
6ab (3 + 2b)
A casual worker earns $28 per hour. On Sundays they receive time-and-a-half pay. What is their Sunday hourly rate?
$42 per hour
Simplify 12x/3 (12x divided by 3)
4x
5x−3=2x+18
x=7
A ladder leans against a wall forming a 60* angle with the ground. The ladder is 8 m long. How high up the wall does it reach?
height is approx. 6.9m
12(3ab+4-4a)
36ab+48-48a
A worker earns $26 per hour for the first 38 hours and double pay after that. They work 45 hours in one week. How much do they earn altogether?
$1352
Expand and simplify: 2(x+4)-3(x-1)
11-x
x^2 −25=0
x=5, x=-5
A right triangle has an adjacent side of 7 cm and an opposite side of 24 cm. Find the angle to the nearest degree.
missing angle is 74*
Expand and Simplify: (x+4)(x+3)
x2 + 7x + 12