Answer:
played; read
Explanation:
In grammar it is important to keep coherence in the transitions of ideas. In the example "<em>Yesterday she played solitaire while her brother reads a book.</em>" There are two sentences and a transition conjunction:
Sentence 1: "<em>Yesterday she played solitaire </em>" (which is expressed in past tense)
Sentence 2: "<em>her brother reads a book" (Which is expressed in simple prsent tense)</em>
Transition Conjunction: "<em>While</em>"
According to the adverb of time "<em>yesterday</em>" the whole sentence meaning and intention is expressed in past tense, so, in order to avoid a run-on mistake, both sentences must keep the past tense. The correct constructions of this sentence should be:
* "<em>She </em><em>played </em><em>solitaire yesterday while her brother </em><em>read</em><em> a book.</em>"
* "<em>While her brother </em><em>read</em><em> a book</em><em>,</em><em> she </em><em>played </em><em>solitaire yesterday.</em>" (Notice "," to connect both sentences).
* "<em>Yesterday she </em><em>played </em><em>solitaire while her brother </em><em>read</em><em> a book.</em>"