Page 382 - Algebra 1

*26.
(54)
3 4 *27. (55)
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Error Analysis Two students decide whether there is an outlier. Which student is correct? Explain the error.
grades on a math test: 100, 75, 80, 96, 77, 82, 88, 89, 79, 92, 100, 78, 95, 60
Measurement A square has side length s, while an equilateral triangle has length
s + 1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters of the triangle and the rectangle would be equal.
P = 4s
P = 3(s + 1)
Error Analysis Two students used a graphing method to solve the system of equations. -4x + 3y = 5
2x + 3y = -16
They used substitution to verify their solutions. Which student is correct? Explain
the error.
Geometry The measure of the angles in a parallelogram total 360°. Write and solve a system of equations to determine the values of x and y.
x° y° x° 5.5y°
Multi-Step Thomas has a younger brother named Miguel. Thomas is 5 years older than Miguel. If Thomas’s age is decreased by three years, it is equivalent to double Miguel’s age.
a. Formulate Write a system of equations to represent the age of Thomas. Let t
represent Thomas’s age and m represent Miguel’s age.
b. Solve the system to determine the ages of Thomas and Miguel. c. Verify Explain why your answer is reasonable.
Student A
78 - 1.5(95 - 78) = 52.5 There is no outlier.
Student B
78 - 1.5(85 - 78) = 67.5 Yes, 60 is an outlier.
Student A
-4(-3.5) + 3(-3) = 5 2(-3.5) + 3(-3) = - 16
Student B
-4(4) + 3(7) = 5 2(4) + 3(7) = -16
*29.
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30.
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Lesson 56 367