Problem

Write the word statement as an equation. Use x as the variable. Find all solutions from th...

Write the word statement as an equation. Use x as the variable. Find all solutions from the set {2, 4, 6, 8, 10}. See Example.

EXAMPLE Finding a Solution from a Given Set

Write each word statement as an equation. Use x as the variable. Then find all solutions of the equation from the set

{0, 2, 4, 6, 8, 10}.

(a) The sum of a number and four is six.
One by one, mentally substitute each number from the given set {0, 2, 4, 6, 8, 10} in x + 4 = 6. Since 2 + 4 = 6 is true, 2 is the only solution.
(b) Nine more than five times a number is 49.
Substitute each of the given numbers. The solution is 8, since 5 • 8 + 9 = 49 is true.
(c) The sum of a number and 12 is equal to four times the number.
Substituting each of the given numbers in the equation leads to a true statement only for x = 4, since 4 + 12 = 4(4) is true.

The sum of a number and 8 is 18.

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Solutions For Problems in Chapter 1.2

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