Question

Translate the given sentences into a mathematical equation:
1 added to three times a number gives 16.
If 8 is subtracted from one-fourth of a number,the result is 1.
Half of a number is 5.
7 taken away from a number is -11.
When one-third of a number is subtracted from 11,we get 2.
Write the given equations in the form of sentences:
3x - 4=11
x5=20
5x+4=1
7y=21
2-2x=2

Answer 1

Answer:

The number is

4

.

Explanation:

Let the number be

x

.

Eight less than three times

x

equals

x

. We can express this in an equation:

3

x

−

8

=

x

Subtract

x

from both sides.

2

x

−

8

=

0

Add

8

to each side.

2

x

=

8

Divide both sides by

2

.

x

=

4

Answer 2

Answer:

1. 3x +1=16
2. 1/4x-8=1
3. 1/2x=5
4. x-7=-11
5. 11-1/3x = 2