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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Linear Functions

Grade: 1400-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	Let f(x) be a linear function such that f(1) = 4 and f(5) = 10. What is the value of f(3)?	A) 7 B) 5 C) 3 D) 1
2	Let L1 be the line passing through the points (1, 2) and (3, 4), and let L2 be the line parallel to L1 passing through the point (5, 6). What is the equation of L2?	A) \$"y" = "x"/2\$ B) y = x + 1 C) y = 2x + 1 D) \$"y" = (3"x")/2\$
3	If the line y = 2x + 3 is reflected across the x-axis, what is the equation of the resulting line?	A) y = 2x - 3 B) y = 2x + 3 C) y = - 2x + 3 D) y = - 2x - 3
4	Let L1 be the line passing through the points (1, 2) and (3, 4). Which of the following points lies on the line perpendicular to L1 and passing through the point (3, 4)?	A) (0,6), (2,6) B) (0,6), (1,7) C) (0,7), (1,7) D) (0,7), (1,6)
5	Find the point of intersection of the lines given by the equations: 3x − 4y = 12 5x + 2y = − 1	A) x = \$12/13\$, y = \$-63/23\$ B) x = \$12/10\$, y = \$-26/36\$ C) x = \$63/26\$, y = \$-10/23\$ D) x = \$10/13\$, y = \$-63/26\$
6	A train travels from city A to city B at a speed of 60 mph and returns from city B to city A at a speed of 45 mph. If the total travel time is 8 hours, find the distance between the two cities.	A) 298.31 miles B) 256.89 miles C) 205.71 miles D) 305.23 miles
7	\$"F"("x") = 9/5 ("x" - 273.15) + 32\$ The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 2.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?	A) 35.78 B) 3.78 C) 487.89 D) 519.89
8	For groups of 25 or more people, a museum charges $21 per person for the first 25 people and $14 for each additional person. Which function f gives the total charge, in dollars, for a tour group with n people, where n ≥ 25?	A) f(n) = 14n + 175 B) f(n) = 14n + 525 C) f(n) = 35 - 350 D) f(n) = 14n + 21
9	The table above shows some values of x and their corresponding values f(x) for the linear function f. What is the x-intercept of the graph of y = f(x) in the xy-plane? $9$	A) (- 3, ) B) (- 4, 0) C) (- 9, 0) D) (- 12, 0)
10	A chemist has two solutions: Solution A containing 20% acid and Solution B containing 50% acid. How many liters of each solution should be mixed to obtain 30 liters of a solution containing 40% acid?	A) 20 litres of Solution A and 20 litres of Solution B B) 10 litres of Solution A and 10 litres of Solution B C) 10 litres of Solution A and 20 litres of Solution B D) 15 litres of Solution A and 20 litres of Solution B

Problem Id

Problem

Options

Let f(x) be a linear function such that f(1) = 4 and f(5) = 10. What is the value of f(3)?

A) 7

B) 5

C) 3

D) 1

Let L1 be the line passing through the points (1, 2) and (3, 4), and let L2 be the line parallel to L1 passing through the point (5, 6). What is the equation of L2?

A) \$"y" = "x"/2\$

B) y = x + 1

C) y = 2x + 1

D) \$"y" = (3"x")/2\$

If the line y = 2x + 3 is reflected across the x-axis, what is the equation of the resulting line?

A) y = 2x - 3

B) y = 2x + 3

C) y = - 2x + 3

D) y = - 2x - 3

Let L1 be the line passing through the points (1, 2) and (3, 4). Which of the following points lies on the line perpendicular to L1 and passing through the point (3, 4)?

A) (0,6), (2,6)

B) (0,6), (1,7)

C) (0,7), (1,7)

D) (0,7), (1,6)

Find the point of intersection of the lines given by the equations:
3x − 4y = 12
5x + 2y = − 1

A) x = \$12/13\$, y = \$-63/23\$

B) x = \$12/10\$, y = \$-26/36\$

C) x = \$63/26\$, y = \$-10/23\$

D) x = \$10/13\$, y = \$-63/26\$

A train travels from city A to city B at a speed of 60 mph and returns from city B to city A at a speed of 45 mph. If the total travel time is 8 hours, find the distance between the two cities.

A) 298.31 miles

B) 256.89 miles

C) 205.71 miles

D) 305.23 miles

\$"F"("x") = 9/5 ("x" - 273.15) + 32\$ The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 2.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

A) 35.78

B) 3.78

C) 487.89

D) 519.89

For groups of 25 or more people, a museum charges $21 per person for the first 25 people and $14 for each additional person. Which function f gives the total charge, in dollars, for a tour group with n people, where n ≥ 25?

A) f(n) = 14n + 175

B) f(n) = 14n + 525

C) f(n) = 35 - 350

D) f(n) = 14n + 21

The table above shows some values of x and their corresponding values f(x) for the linear function f. What is the x-intercept of the graph of y = f(x) in the xy-plane?

$9$

A) (- 3, )

B) (- 4, 0)

C) (- 9, 0)

D) (- 12, 0)

A chemist has two solutions: Solution A containing 20% acid and Solution B containing 50% acid. How many liters of each solution should be mixed to obtain 30 liters of a solution containing 40% acid?

A) 20 litres of Solution A and 20 litres of Solution B

B) 10 litres of Solution A and 10 litres of Solution B

C) 10 litres of Solution A and 20 litres of Solution B

D) 15 litres of Solution A and 20 litres of Solution B