Grade 11 Linear Functions Worksheet
A Grade 11 math worksheet focusing on linear functions, including graphing, identifying properties, and solving related problems.
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Grade 11 Linear Functions Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Determine if the following equations represent a linear function. Explain your reasoning.
a) y = 3x - 5
b) y = x² + 2x
2. What is the slope of the line represented by the equation 2x + 4y = 8?
2
-2
-1/2
1/2
3. What is the y-intercept of the line represented by the equation y = -3x + 7?
(0, -3)
(-3, 0)
(0, 7)
(7, 0)
4. Graph the linear function y = (1/2)x - 2 on the coordinate plane below.
5. Write the equation of a line in slope-intercept form (y = mx + b) given the following information.
a) Slope = 3, y-intercept = (0, -4)
Equation:
b) Passes through points (1, 5) and (3, 11)
Equation:
6. A taxi service charges a flat fee of $3.00 plus $2.50 per mile. Write a linear equation that represents the total cost (C) of a taxi ride for 'm' miles. Then, calculate the cost of a 10-mile ride.
Equation:
Cost of a 10-mile ride:
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