Page 121 - Algebra 1

Example
4
Solve Fraction Equations by Adding or Subtracting
Reading Math
Here is another way to show steps leading to the solution:
x+_1 -_1 =-_3 -_1 4484
x = - _5 8
Solve.
x + _1 = - _3 48
SOLUTION
x + _1 = - _3 48
- _1 = - _1 __4 __4
x = - _5 8
On January 10, 1911, the temperature in Rapid City, South Dakota, fell 47°F in 15 minutes. What was the temperature at 7:00 a.m.?
SOLUTION
Let x = the temperature at 7:00 a.m. Write an equation.
x - 47 = 8
+47 = +47 To isolate the variable, add 47 to each side. __ __
x = 55
At 7:00 a.m. the temperature was 55°F.
State whether the value of each variable is a solution of the equation.
(Ex 1)
a. h - 14 = 2 for h = 12
b. -11 = j - 4 for j = -7
Solve. Then check the solution.
(Ex 2)
c. x-5=17
d. -30=m-12 Solve.
e. p + 3 = 37 (Ex 3)
f. -14=y+8 ( (Ex 3) ) _1 _1
g.d+4 =3 . (Ex 4) 26
h. Jagdeesh took the same test twice. On the second test he scored 87,
(Ex 5) which was 13 points higher than on the first test. What was his first test
Subtract _1 from both sides. 4
Application: Weather
Example
5
Temperature in Rapid City, SD
7:00 a.m.
7:15 a.m.
8°F
Lesson Practice
Hint
Always give fractions in simplest form unless instructed otherwise.
106 Saxon Algebra 1
score?