Solving Linear Equations

Question 1

n/2=7

Answer 1

multiply n/2 with 2/1

Question 2

3/4x=18

Answer 2

You can divide with 3/4, but if you want to calculate in head, multiply with 4/3, so that you have the result 1/1x and can multiply 4/3*18/1.

Question 3

Solving equations with order, 5 steps.

Answer 3

Distribute (is solving things like 5(x-1)
Combine like terms (4n and -1 n on same side p.e.)
Add/Subtract
Multiply/Divide
Check: put variable into equation

Question 4

Equations with fractions: 5/6x-2/3= 3/5x-1

Answer 4

find common denominator, in this case 30. Multiply everything integer with 30, look how often the denominator fits into 30, multiply the result with the numerator.

-10/7

Question 5

Equations with decimals: .03x+.2=.35x-6.2

Answer 5

multiply with 10,100,1000 and so on, depending on how many after komma stellen the most after komma stellen integer has. Take the nachkommstellen and the 0´s. So, for 2 Nachkommastellen, multiply with 100.

Question 6

Solving linear Inequalities: n+5<3

Answer 6

solve like normal equations. n

Question 7

-7x>28

Answer 7

If you divide or multiply in lineat inequalities, you have to change the direction of the inequality operator, because 2>3 |*-1
-2>-3 would be wrong so

Question 8

2(x+4)>2x-1

Answer 8

at the end 8>-1 which we describe as true, so equation is true