AnswersAZ-Algebra 1A MA101Writing Linear EquationsQuestion 1
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Writing Linear Equations

Question 1 • AZ-Algebra 1A (MA101)

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. | If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Answer
A
6.3 + b = 15.7
B
12.6 + b = 15.7
C
2a + 6.3 = 15.7
D
2a + 12.6 = 15.7

Explanation

The perimeter equation is 2a + b = 15.7 because the two equal sides each have length a. If one longer side is 6.3 centimeters, then 2a = 2 × 6.3 = 12.6. Substituting gives 12.6 + b = 15.7, which is choice B.

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