Linear Equations

In the equation x/2 + 5/4 = −3/7, transposing 5/4 to R.H.S. we get

• x/2 = –3/7 + 5/4
  

• x/2 = 9/7 – 5/4

• x/2 = −3/7 – 5/4
  

• None of the above

At a party, colas, squash and fruit juice were offered to guests. A fourth of the guests drank colas, a third drank squash, two fifths drank fruit juice and just three did not drink anything. How many guests were in all?

• 482

• 250

• 180

• 100

 $\frac{\left(x+6\right)}{4}+\frac{\left(x-3\right)}{5}=\frac{\left(5x-4\right)}{8}$  ; Find x.

• 6

• 7

• 8

• 9

The sum of the digits of a two-digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

• 39

• 93

• 66

• 75

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

• 5x + 7x = 120

• 5x - 7x =120

• x ⁄ 5 + x ⁄ 7 = 120

• None of the above

 $\frac{5x}{3}=\ 300$ ; Find x.

• 90

• 120

• 150

• 180

18+m=8

• m=0
• m=10
• m=-10
• m=8

Find the value of x

 $\frac{3}{4}x\ =7-x$  

• 4

• 3

• 7

• 1

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

If the sum of two consecutive numbers is 71 and one number is x, then the other number is ___ .

• 36

• 35

• 70

• 71