AnswersMathematics 8Simplifying Algebraic Expressions — QuizQuestion 5
5
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Simplifying Algebraic Expressions — Quiz

Question 5 • Mathematics 8

Sahib tried four different solutions to the matching problem. Which of his four answers is correct? Simplified Expression Expression 2 A squared minus 8 A plus 7 3 A squared plus 5 A minus 1 minus 5 A squared minus 3 A plus 8 2 A squared minus 3 A plus 7 3 A squared plus 4 A plus 6 minus A squared minus 7 A plus 1 negative 2 A squared minus 4 A plus 7 negative 7 A squared minus 9 A plus 4 plus 5 A squared plus 5 A plus 3 negative 2 A squared plus 2 A plus 7 A squared minus 6 A plus 2 plus A squared minus 2 A plus 5

Answer
A
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1. A line is drawn from negative 2 a-squared minus 4 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8.
B
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from 2 a-squared minus 3 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1.
C
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1.
D
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3.

Explanation

Combine like terms in each expression. For example, 3a² + 5a − 1 − 5a² − 3a + 8 simplifies to −2a² + 2a + 7, and 3a² + 4a + 6 − a² − 7a + 1 simplifies to 2a² − 3a + 7. The other two expressions simplify to −2a² − 4a + 7 and 2a² − 8a + 7, respectively. These matches are exactly the lines shown in choice A.

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