Question

addition equations

1. solve the equation by using tape diagrams. then solve the equation algebraically.

use substitution to check your solution.
a. $f + 8 = 17$
b. $9 + b = 15$

Explanation:

Part a: $f + 8 = 17$

Step1: Isolate the variable $f$

Subtract 8 from both sides:
$f + 8 - 8 = 17 - 8$

Step2: Simplify to find $f$

$f = 9$

Step3: Check via substitution

Substitute $f=9$ into original equation:
$9 + 8 = 17$
$17 = 17$ (valid)

Part b: $9 + b = 15$

Step1: Isolate the variable $b$

Subtract 9 from both sides:
$9 + b - 9 = 15 - 9$

Step2: Simplify to find $b$

$b = 6$

Step3: Check via substitution

Substitute $b=6$ into original equation:
$9 + 6 = 15$
$15 = 15$ (valid)

Answer:

a. $f = 9$
b. $b = 6$