# Linear Equations Questions ## Definition of Linear Equations

A Linear Equation is used when power of any constant unknown variable is one and the variable has one or more than one.
Linear equation has the form: ax+b=0

### Rule

• If a=b then a+c=b+c for any c. All this is saying is that we can add a number, c, to both sides of the equation and not change the equation.
• If a=b then a−c=b−c for any c. As with the last property we can subtract a number, c, from both sides of an equation.
• If a=b then ac=bc for any c. Like addition and subtraction, we can multiply both sides of an equation by a number, c, without changing the equation.
• If a=b then a/c=b/c for any non-zero c. We can divide both sides of an equation by a non-zero number, c, without changing the equation.

Question 1 Time: 00:00:00
The roots of the equation 4x-3*2x+2+32=0 would include- 20

20

40

40

5

5

17

17

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Question 2 Time: 00:00:00
If ax =b, by=c and cz =a, then the value of xyz is: 4

4

2

2

3

3

1

1

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Question 3 Time: 00:00:00
If x = 1+21/2 and y=1-21/2, then x2+y2 is - 107/2

107/2

203/2

203/2

997/2

997/2

445/2

445/2

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Question 4 Time: 00:00:00
If 4x+3 = 2x+7, then the value of x is: 2

2

1

1

3

3

4

4

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Question 5 Time: 00:00:00
2x+y = 2*(2)1/2 and 2x-y = 21/2,the value of x is: 10/14

10/14

9/8

9/8

25/8

25/8

5/4

5/4

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Question 6 Time: 00:00:00
If x = 8, y = 27, the value of $\sqrt{\left ( \frac{x^{4}}{3} + \frac{y^{2}}{3} \right )}$ is: $\sqrt{ \frac{4828}{3}}$

$\sqrt{ \frac{4828}{3}}$

$\sqrt{ \frac{4825}{3}}$

$\sqrt{ \frac{4825}{3}}$

$\sqrt{ \frac{4818}{3}}$

$\sqrt{ \frac{4818}{3}}$

$\sqrt{ \frac{4826}{3}}$

$\sqrt{ \frac{4826}{3}}$

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Question 7 Time: 00:00:00
If xy = yx and x = 2y, the value of y is: 1

1

2

2

3

3

4

4

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Question 8 Time: 00:00:00
If 2x + 3y = 16 and 2x - 3y= 36, the value of x is: 13

13

23

23

33

33

43

43

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Question 9 Time: 00:00:00
If 6(x-3) = 36(x-5), then what is the value of x? 51/5

51/5

27/5

27/5

15/7

15/7

17/3

17/3

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