Algebra 1
Simplify 8d - 6e - 3d + 4e
5d - 2e
What is the reciprocal of 4?
1/4
Write 315 as a product of prime factors in index form
32 x 5 x 7
Find the missing angle
(draw on board a quad with angles 109, 78, 55)
118o
The probability of spinning a 7 on a spinner is 35%, what is the probability of not spinning a 7?
65%
Expand
5(3x - 2)
15x - 10
Find the population density for a village with a population of 8400 people and a land area of 200 km
42 population / km2
Find the average speed of a car travelling 60 miles in 1 hour 30 minutes
40 mph
Find the missing angle
(draw on board an isosceles triangle with top angle 32)
x = 74o
Write 0.0058 in standard form
5.8 x 10-3
Find the value of 7x + 2y when x=2 and y=-9
-4
A line has an equation
y = 3x + 4
What is its gradient?
Where does the line cross the y-axis?
gradient = 3
Crosses at y=4
Decrease 240 by 20%
192
Find the area of the trapezium
(draw on board base 3cm, top 7cm, height 6cm)
30 cm2
Write 3 million in standard form
3 x 106
Solve
3x - 10 = 17
x = 9
Solve
13f + 2 = 6f + 5
f = 3/7
Abby, Neil and Dylan share a sum of money in the ratio 2:4:5
Neil receives £60
How much money does Dylan receive?
£75
Find the missing side of the triangle (draw on board 3cm, 4cm, find hyp)
5 cm
Write down three integers, all less than 25, with a range of 8 and a mean of 13
8 15 16
9 13 17
10 11 18
Write down the first three terms of the sequence whose nth term is given by
3n - 4
-1, 2, 5
Write down an expression for the nth term of the following sequence
5, 11, 17, 23, ...
6n - 1
A number has been decreased by 40% to give an answer of 360. What was the original number?
600
Find the volume of the triangular prism
(draw on board, front triangle 5 cm by 6 cm, length 20cm)
300 cm3
Work out
1.4 x 109 ÷ 2000
0.7 x 106
or
7 x 105