Page 299 - Algebra 1

Inequalities are used to solve a variety of real-world problems. First determine the unknowns and the inequality symbol needed. Then translate the words into symbols and solve the inequality.
Application: Soccer Team Clothing
Jonas is purchasing 15 screen-printed warm-up suits for his soccer team. He can spend $1000 at most. There is a set-up fee of $25 for the screen-printing. What can he spend at most on each suit including tax and printing costs?
Example
3
Hint
When assigning variables to represent an unknown, it is useful to select letters that relate to the unknown.
15, $1000 at most, set-up fee of $25 unknown: cost of one suit
variable: c
15 times the cost of a suit plus the
$25 set up fee is at most $1000. 15c + 25 ≤ 1000
SOLUTION
Identify the needed information.
Identify the unknown and assign a variable.
Organize the given information.
Translate the sentence into an inequality.
15c + 25 ≤ 1000, where c is the cost of one suit.
Translate each sentence into an inequality.
(Ex 1)
a. The quotient of an unknown number and -2 is greater than the opposite of 9.
b. 0 is less than or equal to the difference of twice a number and 8.
c. The sum of half a number and 3 does not equal 15.
d. The product of 11 and a number is less than 121.
Write each inequality as a sentence.
(Ex 2)
e. 12b ≥ -8
f. 1.5x + 2.5 < 11.5
g. 9 > _1 x - 8
3
h. _a ≤ 8 7
i. Cooking The lowest temperature at which a piece of beef can be cooked
Lesson Practice
284 Saxon Algebra 1
(Ex 3)
Fahrenheit is _9 °C + 32 = °F. Write an inequality for an equivalent
rare is 140°F. The formula used to convert degrees Celsius to degrees
5
reading in degrees Celsius for a piece of beef cooked rare.