Lesson Plans: Introduction Lesson Plan 1: The Phone Bill Problem - Linear Functions Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities

Lesson Plan 1: The Phone Bill Problem - Linear Functions

The questions below dealing with linear functions have been selected from various state and national assessments. Although the lesson above may not fully equip students to answer all such test questions successfully, students who participate in active lessons like this one will eventually develop the conceptual understanding needed to succeed on these and other state assessment questions.

• Taken from the North Carolina End-of-Course Test, Algebra 1 (October 2003):

The cost of a large pizza is given by the formula C(t) = 1.5t + 7.5, where C(t) is the cost of the pizza and t is the number of toppings. What does the slope represent?

A. Number of toppings
B. Cost per slice
C. Cost of each topping (correct answer)
D. Cost of pizza with no toppings
• Taken from the North Carolina End-of-Course Test, Algebra 1 (October 2003):

Denisha bought a car for \$15,000. The value depreciates linearly. After three years, the value is \$11,250. What is the amount of yearly depreciation?

A. \$2,000
B. \$1,500
C. \$1,250 (correct answer)
D. \$750
• Taken from the Virginia Standards of Learning, Algebra 1 (2002):

The graph of

is shown below. If the line in the graph is shifted up 2 units, what is the equation of the new line?

A.

B.

C.

• Taken from the North Carolina End-of-Course Test, Algebra 1 (October 2003):

Which of the following equations describes the data in the table below?

 x (% reduction (or increase) in dietary fat) -6 -4 -2 1 5 y (weight loss (or gain) in pounds) -15 -11 -7 -1 7

A. 2x + y = -27
B. x - y = -3
C. x + y = -21
D. 2x - y = 3 (correct answer)

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