2.4 Word Problems
E1 Two times a number, x is the
same as 6 less than 4 times the
same number.
2x  4x 6
4x 4x
2 x  6
2x 2x
x3
E2 Three times the sum of x and 5
equals the quotient of 2 times x
and 3.
9
x

45

2
x
2x
3( x  55) 
2x
2x
3
7 x  45  0
45 45
2x
3 x  15 
7
x


45
3
x7 x x7 x
6x
9 x  45 
x   45
7
3
E3 Twice the largest of 3
consecutive integers is equal to
the smallest minus 3. Find the 3
integers.
2(n  2)  n 3
1st : n 7
2nd : n  1 6
2n  4  n  3
n
n
3rd : n  2 5
n  4  3
4 4
n  7
E4 Twice smallest of 3 consecutive
odd integers plus the largest is equal
to the largest integer minus 10. Find
the middle integer of the 3.
1st : n
2nd : n  2
3rd : n  4
5  2  3
2n  n  4  n  4 10
3n  4  n  6
n
n
2n  4  6
4 4
2n  10
x2 x
x2 x
n  5
E5 Four times the lesser of two
consecutive even integers is 12 less
than twice the greatest number.
Find the two integers
1st : n 4 4n  2(n  2) 12
2nd : n  2 2 4n  2n  4  12
4n  2n  8
2n 2n
2n  8
x2 x
x2 x
n  4
A#____ ____/____/_____
WS 2.4 WP