Solving Equations
No Solution
abs(3x) = 9
x={3,-3}
-8<2x<8
(-4,4)
Solve |x|+10<1
What is no solution
Three consecutive even numbers have a sum of 30. What are the numbers?
8, 10, and 12
They’re often associated with France, but which breed of dog more likely came from Germany? (Hint: They come in toy, miniature, medium, and standard sizes)
Poodle
Solve : 4x + 9 = 2x - 6
x = -15/2 or x = - 7 1/2
abs( −4 + 5x) = 16
x = {4, -12/5}
Solve
-2<=-2x-4<=8
What is [-6,-1]
Solve 6|n|-2>10
(-oo,-2) or (2,oo)
The sum of two numbers is 57. If the larger of the two numbers is 9 less than twice the smaller, find the two numbers.
22 and 35
Often used outside Germany to mean a place to work out, in the context of the German educational system, what 9-letter word means the most academically oriented type of secondary school? (hint we have one)
Gymnasium
Solve: 4(x+6) - 11 = 25
x=3
abs(-6m)=-30
no solution
4(-x+3)>-4x+12
What is all real numbers
Solve
-2<=4x-10<6
[2,4)
Solve
|9x|<=27
[-3,3]
Find two consecutive even integers such that the sum of the larger and 3 times the smaller is 234 .
58 and 60
Brezel is the German term for what pastry is commonly salinated and knotted?
Solve: 2(x-5) = 5(x+5) -2
x = -11
−5abs(3 + 4k) = −115
k={5, -13/2}
Solve
2x – 2 < –12 OR 2x + 3 > 7
(-oo,-5) or (2,oo)
2 +|9-k|<=13
[-2, 20]
Two numbers have a sum of 39. The first number is 3 more than 5 times the second. What are the two numbers?
The numbers are 6 and 33
Using sugar, a marble block, a brick oven, a copper kettle and a rolling pin, what chewy candy was invented in 1922 by Hans Riegel, the German founder of the confectionery company HARIBO?
Gummy Bears
Solve the equation:
2(4x-6) = -10 +8x - 2
All Real Numbers/ Infinite solutions
2 − 5abs(5m − 5) = −73
m={-2,4}
Solve
12h-3>=15h or 5> -1/5h+10
(-oo,-1] or (25,oo)
10|4x-2|-7>93
(-oo,-2) or (3,oo)
Three numbers have a sum of 89. The first number is three times the third number. The second number is five more than the first number. Write and solve an equation to find the three numbers.
x = 12,36,41
A Frankfurt doctor was told by a patient "I have lost myself" and he observed and studied her over a period of five years. This patient became the basis for his paper and lecture in 1906 which ultimately led to his name being associated with what disease?
Alzheimers