Title: Default per Equazioni lineari
Course: Equation

La categoria default per le domande condivise nel contesto 'Equazioni lineari'.

Feedback shared by this category's questions, if right: Risposta corretta.
Feedback shared by this category's questions, if partly right: Risposta parzialmente esatta.
Feedback shared by this category's questions, if wrong: Risposta errata.

Q: Which of the following equations expresses the phrase "The double of an increased number of two is equal to seven?
- 2x=2+7
- 2x+2+7=
- 2x+2=7
- 2+x=7
A: 2x+2=7

Q: Which of the following numbers satisfy the equation x ^ 2 + x-2 = 0?
- +2
- +1
- -1
- -2
A: +1

Q: What is the solution of the 3x = 15 equation
- x=15
- x=3
- x=5
- X=1,5
A: x=5

Q: What is the solution of the equation x + 5 = 10
- 5
- 10
- 15
- 2
A: 5

Q: What is the solution of the 3x + 1 = 4 equation
- x=3/4
- x=3/5
- x=5/3
- x=1
A: x=1

Q: What is the solution of the equation 5x-2x  = 7-2
- x=5
- x=1
- x=15
- x=5/3
A: x=5/3

Q: What is the solution of the equation 4x + 2 = 3x-4
- x=2
- x=-6
- x=1
- x=7/6
A: x=-6

Q: Two equations are said to be equivalent if
- they have the same unknowns
- they have the same solutions
- they have the same coefficients
- they are of the same degree
A: they have the same solutions

Q: The solution of the equation -2x = 0 is
- x=1/2
- x=2
- x=-2
- x=0
A: x=0

Q: In which cases has the principle of equivalence been applied correctly to the following equation? 3x+1=-3x+6
- 3x=-3x+7
- 3x+5=-3x+10
- 4x+2=-4x+7
- 1=-6x+6
A: 3x+5=-3x+10 / 1=-6x+6

Q: The transport rules have been applied to the following equation, in which cases has it been applied correctly? 3x-1=5x+3
- 3x+5x=+3-1
- 3x-1-3=5x
- 3x=5x+3-1
- -1-3=5x-3x
A: 3x-1-3=5x; -1-3=5x-3x

Q: The equation  Ax=B, se A=0 e B=0 is:
- Determinate
- Impossible
- Undeterminate
A: Undeterminate

Q: Which of the following equations are impossible?
- 2x+1=2x
- 2x+3=2x+3
- 3x-2=3x-1
- 3x+3=3
A: 2x+1=2x; 3x-2=3x-1

Q: Risolvi la seguente equazione t+1=-1
- t=0
- t=2
- t=-1
- t=-2
A: t=-2

Q: Risolvi la seguente equazione 2a=12
- a=1
- a=-6
- a=6
- a=2
A: a=6

Q: An equation is said to be impossible if:
- non ha nessuna soluzione
- se è risolvibile con i metodi elementari
- ha soluzioni che non sono intere
- ha più incognite
A: non ha nessuna soluzione

Q: Risolvi la seguente equazione 2k+1/2=2
- K=-2
- K=3/4
- K=1
- K=5/2
A: K=3/4

Q: Resolve the following equation 2x+1/2=1/2x+2
- x=-3/4
- x=-1
- x=3
- x=1
A: x=-3/4 / x=1

Q: Resolve the following equation 2(x-3)-2(x+1)=-(x+1)
- x=-1
- x=7
- x=-2/3
- x=3/2
A: x=7

Q: Aldo, Bruno and Carlo are three brothers who have a total of 47 years. Bruno was born 3 years after Aldo, Carlo was born 2 years after Bruno. Place x the age of Aldo, which of the following equations solves the problem?
- x+(x+3)+(x+2)+47=0
- x(x+3)(x+2)=47
- x+(x-3)+(x-3-2)=47
- x+x-3+x-2=4
A: x+(x-3)+(x-3-2)=47

Q: Correspondence
- -x=0 | determinata x=0
- x+1=1+x | indeterminata
- -x=1-x | impossibile
- 2x=2 | determinata x=1

Q: Corrispondence
- 3x-4=4x-3 | -1=x
- 6x=18 | x=3
- 8x-4=5x | 8x=5x+4
- 2x+5=0 | 2x=-5

Q: The sum of three consecutive odd numbers is 45. Place x the smallest of these numbers, which equation solves the problem?
- x+x+1+x+2=45
- x+(x+1)+(x+2)=45
- x+(x+3)+(x+5)=45
- x+(x+2)+(x+4)=45
A: x+(x+2)+(x+4)=45

Q: Which of the following equations solves the problem "Adding the next of a number with twice the same number gets 12"
- 2x+x+1=12
- x+2x=12+1
- 2x+2x+2=12
- 2x+2x+1=12
A: 2x+x+1=12

Q: In a garage there are motorcycles and cars. In all, there are 27 vehicles that altogether have 84 wheels. Said x car number, which equation solves the problem?
- 4x+2(27-x)=84
- 4x+4y=84
- 4x+27-x=84
- x+2x=84
A: 4x+2(27-x)=84

Q: The double of a number x, decreased by 2 gives 12. Which of the following equations allows to obtain the number x?
- 2x-2=12
- x-2=12
- x-12=2
- x-12-2=0
A: 2x-2=12

Q: For what value of x is the balance balanced?

[Image]
- x=2
- x=7
- x=9
- x=3
A: x=2

Q: What is the value of x if the perimeter of the polygon is 32? Answer with a number without reporting units.

[Image]

Is the value of x = 4?
- Wahr (X=4)
- Falsch (X=8)
A: Falsch

Q: [Image]
- Only Josè
- Only Amira
- Both Amira and Josè
- Neither Amira nor Josè
A: Both Amira and Josè

Q: [...]
The following equations are equivalent to x = -2, except one. Which?

[...]
A: 2 x + 3 = 0; x+1=x+3
Gap 2 offers: x+1=x+3; -x=2; 3 (x + 2) = 2 (x + 2); 2 x + 1 = - 3

Q: Is given the equation 3x + 1 = x + 3. In which, among the following equations, was the first principle of equivalence applied correctly?

[...]
A: 3x + 1 - x - 1 = x + 3 - x - 1
Gap 1 offers: 6x + 2 = 2x + 6; 3x + 1 - x - 1 = x + 3 - x - 1; 3x + 1 - 1 = x + 3 - x; 3x + 1 - x - 1 = x + 3 - x - 1

Q: The following equations are equivalent to x = -2, except one. Which?[...]
A: 2 x + 3 = 0

Q: Consider the equation 2 (5x - 3) = 7x +3. Which one of the following is the solution?

[...]
A: x=3

Q: Which among the following equations is impossible?
[...]
A: x = x + 2

Q: Which of the following equations is undetermined?

[...]
A: 2x + 1 = 2x + 1

Q: The following equations are equivalent to x = -2, except one. Which?

[...]
A: 2 x + 3 = 0
Gap 1 offers: x + 1 = 2 x + 3; -x=-2; 2 x + 3 = 0; 3 (x + 2) = 2 (x + 2)

Q: Is given the equation 3x + 1 = x + 3. In which, among the following equations, was the first principle of equivalence applied correctly?

[...]
A: 3x + 1 - x - 1 = x + 3 - x - 1
Gap 1 offers: 3x + 1 - x - 1 = x + 3 - x - 1; 6x + 2 = 2x + 6; 3x + 1 - 1 = x + 3 - x; 3x + x = 3 + 1

Q: Consider the equation 2 (5x - 3) = 7x +3. Which one of the following is the solution?

[...]
A: x=-1
Gap 1 offers: x=-1; x=0; x=1; x=3

Q: Which of this equations is impossible?

[...]
A: x = x + 2
Gap 1 offers: 0 = 2x + 1; x = x + x + 1; x = x + 2; 2 x = x + 1

Q: Which of the four numerical equations is indeterminate?

[...]
A: 2x + 1 = 2x + 1
Gap 1 offers: x + 1 = 2 x + 2; 2x + 1 = 2x + 1; x + 1 = 2x + 1; 2x + 2 = 2x + 1

Q: Consider the equation -10x = 5. One of the following is equivalent to it. Which?

[...]
A: (5+x)/3=2+x
Gap 1 offers: 2x + 3 = 2 (7x - 1); 4x + 3 = 2 (7x - 1); 3 (5x - 2/3) = 5x + 3; (5+x)/3=2+x

Q: The following equations are all equivalent to each other in the set of real numbers, except one. Which?

[...]
A: x^2 + 9 = 0
Gap 1 offers: x - 3 = 0; x^2 + 9 = 0; (x - 3)^3 = 0; (x - 3)^2 = 0

Q: Consider the equation 2 (x - 5) + x = 8. Only one of the following statements is the sentence that correctly translates the equation. Which?

[...]
A: Double the difference between a number and 5, added to the number itself, gives 8
Gap 1 offers: The double of a number minus 5, added to the same number, gives 8; Double the difference between a number and 5, added to the number itself, gives 8; By subtracting 5 to twice a number and adding the number itself, you get 8; It is given a number such that twice its difference with 5 is equal to 8

Q: Applying the second principle of equivalence to the equation 2x = 4, we obtain:

[...]
A: x=1/2
Gap 1 offers: x=1/2; x=-2; x=indeterminate; x=2

Q: Link each equation to the correct answer
- 2x-1=0 | x=1/2
- -x-2=0 | x=-2
- x-2=0 | x=2
- 2x+1=1 | x=0

Q: Which equation is impossible
- 2x=-2x+1
- 3x=3x
- x=0
- 0x=5
A: 0x=5

Q: Associate the correct solution to each equation
- 2x=4 | x=2
- 2x=1 | x=1/2
- 2x=2 | x=1
- 2x=0 | x=0

Q: Associate the corresponding equation to each solution
- x=3/2 | 2x=3
- x=-3/2 | 2x=-3
- x=1 | 2x=2
- x=-2/3 | -3x=2

Q: Simplify the expression 8x-5(2x+5)-7.  Write your answer in descending degree order.
 The simplified expression is[...]
Feedback: Click HERE for video on simplifying expressions

Q: Simplify the expression 8x-5(2x+5)-7.  Write your answer in descending degree order.

The simplified expression is[...]
A: -2x-32
Feedback: Click HERE for video on simplifying expressions

Q: Simplify the expression 8x-4-(2x+5)-7.  Write your answer in descending degree order.
 The simplified expression is [...]
A: 6x-17
Feedback: Click HERE for video on simplifying expressions

Q: Simplify the expression 14-5(7-8x+1)+8-(2+9x).  Write your answer in descending degree order.
The simplified expression is [...]
A: 31x-20
Feedback: Click HERE for video on simplifying expressions

Q: Solve the equation  25x-35=7+95x.  Write all real numbers if that is the solution, and write no solutions if that is the solution.  Give values as integers or simplified fractions (no rounded decimals). The answer is x  [...]
A: -70x=42
Feedback: Click HERE for video on basic equation solving. Click HERE for video on more comples equation solving. Click HERE for video on equation solving with fractions.

Q: Solve the equation 4-(3-8x)+9=7(5x-1).  Write all real numbers if that is the solution, and write no solutions if that is the solution.  Give values as integers or simplified fractions (no rounded decimals).The answer is x = [...]
A: x=17/27

Q: Solve the equation 3x-17+12x=5(3x-5)+8.  Write all real numbers if that is the solution, and write no solutions if that is the solution.  Give values as integers or simplified fractions (no rounded decimals).The answer is x =[...]
A: indeterminate

Q: Solve the equation (2/5)x=5. Write all real numbers if that is the solution, and write no solutions if that is the solution.  Give values as integers or simplified fractions (no rounded decimals). The answer is x = [...]
A: x=25/2