Math Word Problems Demystified - A Self Teaching Guide
SOLUTIONS: Letx¼the larger number and^12 x¼the smaller number. The equation isxþ^12 x¼36. Letx¼the smaller number andxþ 6 ¼the ...
9 LESSON Solving Number Problems The strategy that is used to solve word problems in algebra is as follows: l. Represent an unkn ...
STRATEGY: Letx¼the smaller number and xþ 8 ¼the larger number. Since the problem asked for the sum, write the equation asxþxþ 8 ...
EVALUATION: Check the answer: 8þ 3 5 ¼ 8 þ 15 ¼ 23 EXAMPLE:A psychology class with 52 people is divided into two sections so t ...
Now five times the first number is 5xand 3 times the second number is 3(16x). The equation is 5x¼3(16x). IMPLEMENTATION: Solve ...
You need not worry whether you are looking for consecutive even or odd numbers since the problems will always work out correctly ...
IMPLEMENTATION: Solve the equation: xþxþ 2 ¼ 42 2 xþ 2 ¼ 42 2 xþ 2 2 ¼ 42 2 2 x¼ 40 21 x 21 ¼ 40 2 x¼20 (first even integer) ...
If the sum of three consecutive numbers is 39, find the numbers. If the sum of two consecutive odd numbers is 48, find the numb ...
Letx¼one number and 4x¼the other number; then xþ 4 x¼ 25 5 x¼ 25 51 x 51 ¼ 25 5 x¼ 5 4 x¼ 4 : 5 ¼ 20 Letx¼the number of losse ...
Letx¼the number; then 2 x 6 ¼ 20 2 x 6 þ 6 ¼ 20 þ 6 2 x¼ 26 21 x 21 ¼ 26 2 x¼ 13 Letx¼the number of calculators in the firs ...
Letx¼first odd integer andxþ 2 ¼second odd integer; then xþxþ 2 ¼ 48 2 xþ 2 ¼ 48 2 xþ 2 2 ¼ 48 2 2 x¼ 46 21 x 21 ¼ 46 2 x¼ ...
10 LESSON Solving Digit Problems The symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are calleddigits. They are used to make our number ...
EXAMPLE:The sum of the digits of a two-digit number is 15. If the digits are reversed, the new number is 9 more than the origina ...
EVALUATION: Take 78 and reverse the digits to get 87. Subtract 87 78 ¼9. Hence, the sum of the digits 7þ8 is 15 and the differ ...
IMPLEMENTATION: Solve the equation: xþxþ 1 þxþ 3 ¼ 10 3 xþ 4 ¼ 10 3 xþ 4 4 ¼ 10 4 3 x¼ 6 31 x 31 ¼ 6 3 x¼ 2 The hundred’s di ...
In a three-digit number, the hundred’s digit is twice the ten’s digit and the one’s digit is 3 less than the hundred’s digit. I ...
x¼2 (one’s digit) 3 x¼ 3 2 ¼6 (ten’s digit) The number is 62. Letx¼the ten’s digit and 9x¼the one’s digit; then original num ...
22 x 11 x 1 ¼ 11 x 11 xþ 10 11 x 1 ¼ 10 11 x 1 þ 1 ¼ 10 þ 1 11 x¼ 11 111 x 111 ¼ 11 11 x¼1 (ten’s digit) xþ 1 ¼ 1 þ 1 ¼2 (o ...
Let 2x¼the hundred’s digit,x¼the ten’s digit, and 2x 3 ¼the one’s digit; then 2 xþxþ 2 x 3 ¼ 7 5 x 3 ¼ 7 5 x 3 þ 3 ¼ 7 þ 3 ...
Letx¼the ten’s digit andxþ 3 ¼the one’s digit; then the original number is 10x þ xþ3; the reversed digits number is 10(xþ3)þx ...
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