Model and Reason with Equations and Inequalities: Part One — Test
Question 20 • Algebra II
What is the solution to the equation negative open paren 5 minus open paren A plus 1 close paren close paren is equal to 9 minus open paren 5 minus open paren 2 A minus 3 close paren close paren ?
Answer
A
A is equal to negative 3
B
A is equal to 5
C
A is equal to negative 5
D
A is equal to 3
Explanation
Simplify each side: −(5 − (A + 1)) = A − 4, and 9 − (5 − (2A − 3)) = 1 + 2A. Then solve A − 4 = 1 + 2A, which gives −5 = A. So the solution is A = −5, choice C.
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