Math Additions Flashcards
Given the formula v=u-9.8t
Find the value of v when u = 4 and t= -7
V= u-9.8t
v=4−9.8(−7)
v= 4 + 68.6
v=72.6v
At the end of the day a shop keeper has 12 tins of cat food left this is 3/13 of the number he had at the beginning of the day. Calculate the number of tins he had at the beginning of the day
13/3 × 12
4.333333333×12
=52
Workout 3 1/2+ 2 3/4
6 1/4
Workout 5 2/3 - 3 1/4
2 5/12
4 2/3 ÷ 2 1/5
2 4/33
2 1/4 × 1 2/3
3 3/4 or 15/4 if they said as an improper fraction
3 1/2 × 2 2/5
42/5 or as a mixed fraction 8 2/5
spinner has five sides. Each side is painted red, blue, green, yellow, and purple. The table shows some of the probabilities of the spinner landing on each color:
Red: 0.2
Blue: 0.15
Green: 0.25
Yellow: 0.3
Purple: blank
Complete the table and find the probability that the spinner lands on red or yellow.
0.2+0.15+0.25+0.3+purple= 1
1-0.9= 0.1
Table Complete
red+yellow =0.2+0.3=0.5
The probability it lands on red or yellow is 0.5
Solve the equation x²+5x-7=0 you must show all your working and give answers correct to 2 decimal places
x= 1.14 x= -6.14
Simplify 2x²+5x-12/4x²-9
Factorise numerator which is (2x−3)(x+4).
(4x²-9) this is a difference of two square (2x-3)(2x+2)
(2x-3)(x+4)/(2x-3)(2x+4)
= x+4/2x+3
x²-9/x²+6x+9
x-3/x+3
11x−3≥2(2x+9)
x≥3
8x−5≥3(3x+7)
x≤−26
When you divide or multiply an inequality by a positive number, the inequality sign stays the same. But when you divide or multiply by a negative number, the inequality sign flips.
Find the mean of 5, 10, 15, 20, 25
15
Find the mode of 3, 7, 3, 2, 3, 7
3
Find the range of 45, 32, 67, 89, 21
68
Solve using the quadratic formula: x^2 - 6x + 9 = 0
x = 3
Solve using the quadratic formula: x^2 + 4x - 21 = 0
x = -7, x = 3
Factorize: x^2 - 5x + 6
(x - 2)(x - 3)
Solve using the quadratic formula: x^2 - 3x - 10 = 0
x = 5, x = -2
Expand and simplify: (x + 3)(x + 5)
x^2 + 8x + 15
Expand and simplify: (2x - 4)(x + 6)
2x^2 + 12x - 24
Expand and simplify: (4x + 1)(x - 3)
4x^2 - 11x - 3
Simplify: 2(x + 5) + 3(x - 2)
5x + 4
Simplify: 5(x - 2) - 3(x + 4)
2x - 22
Expand and simplify: (x + 1)(x - 1)
x^2 - 1
Expand and simplify: 3(x + 4) + 2(x - 1)
5x + 10
Expand and simplify: (x - 2)(x - 3)
x^2 - 5x + 6
(m^8) / (m^3)
Step 1: Subtract the powers: 8 - 3
Answer: m^5
(n^12) / (n^5)
Step 1: Subtract the powers: 12 - 5
Answer: n^7
(a^15) / (a^6)
Step 1: Subtract the powers: 15 - 6
Answer: a^9
(x^10) / (x^3)
Step 1: Subtract the powers: 10 - 3
Answer: x^7
c^7 * c^4
Step 1: Add the powers: 7 + 4
Answer: c^11
p^4 * p^7
Step 1: Add the powers: 4 + 7
Answer: p^11
3x^3 * 4x^2
Step 1: Multiply coefficients: 3 * 4 = 12
Step 2: Add powers: 3 + 2
Answer: 12x^5
2y^6 * 5y^3
Step 1: Multiply coefficients: 2 * 5 = 10
Step 2: Add powers: 6 + 3
Answer: 10y^9
(b^8 * b^5) / b^3
Step 1: Multiply: Add powers: 8 + 5 = 13
Step 2: Divide: Subtract powers: 13 - 3
Answer: b^10
(p^4 * p^3) / p^5
Step 1: Multiply: Add powers: 4 + 3 = 7
Step 2: Divide: Subtract powers: 7 - 5
Answer: p^2
Solve 7x−5<3(2x+4)+9
x>26
