LINEAR EQUATIONS
−2a−8 = −4
a = -2
—3(2x — 8) = —12
X=6
If 28 less than five times a certain number is 232. What is the number?
52
Which 3 numbers have the same answer whether they’re added or multiplied together?
1, 2 and 3
What is the name of the angle that is more than 180 degrees but less than 360 degrees?
Reflex angle
2(x + 4) = —3(x + 5)
-23/5 or -4.6
4(x — 3) — (x — 5) = 0
X=7/3 or 2.3
Fifteen more than three times a number is the same as ten less than six times the number. What is the number?
25/3 or 8.333
If 1=3, 2=3, 3=5, 4=4, 5=4
Then, 6=?
3
because 6 has 3 letters (six)
What is the 19th prime number between 1-100?
67
—2(4 — x) = 6(x + 2) + 3x
-20/7 or -2.9
x + 0.4x = 3.5
x=2.5
The sum of three consecutive integers is 93. What are the integers?
30, 31, 32
You have 3 litre bottle and 5 litre bottle. How can you measure 4 litres of water by using 3Lt and 5Lt bottles???
Solution 1 :
1. First fill 3Lt bottle completely and pour 3 litres into 5Lt bottle.
2. Again fill 3Lt bottle completely. now pour 2 litres into 5Lt bottle until it becomes full.
3. Now empty 5Lt bottle.
4. Pour remaining 1 litre in 3Lt bottle into 5Lt bottle.
5. Now again fill 3Lt bottle completely and pour 3 litres into 5Lt bottle.
6. Now you have 4 litres in 5Lt bottle. That’s it.
Solution 2 :
1. First fill 5Lt bottle completely and pour 3 litres into 3Lt bottle.
2. Empty 3Lt bottle.
3. Pour remaining 2 litres in 5Lt bottle into 3Lt bottle.
4. Again fill 5Lt bottle completely and pour 1 litre into 3 Lt bottle until it becomes full.
5. Now you have 4 litres in 5Lt bottle. That’s it.
What is the only even prime number?
2
0.125x = 0.025(-5x + 1)
x=10
2 = 7(x + 4) + 9x
x= -13/8 or -1.625
A sofa and a loveseat together costs 444 tenge. The sofa costs double the love seat. How much do they each cost?
loveseat = 148 sofa = 296
A man is climbing up a mountain which is inclined. He has to travel 100 km to reach top of mountain. Every day He climbs up 2 km forward in day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backward because mountain is inclined.
Then how many days does it take him to reach mountain top ????
Each day, Total progress = 2 km – 1 km = 1 km
So, 98 days = 98 Kms.
On 99th day he can reach mountain top by travelling 2 km in day time.
So, answer is 99 days
− 96 ÷ −6 ÷ 8 =
2
10x + 3 + 10x = 13x — 3 + 7x
No solution
3.65 — 7.4x + 1.12 = 21.76
x=2.3
The second angle of a triangle is double the first. The third angle is 40 less than the first. Find the three angles.
55, 110, 15
For Rs.1 You get 40 Bananas.
For Rs.3 you get 1 Mango.
For RS.5 you get 1 Apple. Now you want to get 100 fruits for Rs.100.So, How many Bananas, Mangoes and Apples will you buy ??
Rs.95 – 19 Apples
Rs.3 – 1 Mango
Rs.2 – 80 Bananas
Total 100 Fruites for RS.100.
What belongs to you but others use much more than you?
Your Name