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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Algebra

Grade: Top-SAT3 Lesson: S5-P1

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: in Class

Problem Id	Problem	Options
1	\$s = (c - (1/4)i) / (c + 1)\$ A student’s score, S, is determined by the given formula, where C represents the number of correct answers and I represents the number of incorrect answers. Which of the following expresses / in terms of C and S?	A) \$s = (c(1 - 4s)) / (4s + 1)\$ B) \$s = (c(1 + 4s)) / (4s - 1)\$ C) \$s = (4c(1 + s)) / (4s - 1)\$ D) \$s = (4c(1 - s)) / (4s + 1)\$
2	A local transit company sells a monthly pass for $95 that allows unlimited trips of any length. Tickets for individual trips cost $1.50, $2.50, or$3.50, depending on the length of the journey. What is the minimum number of trips per month for which a monthly pass could cost less than purchasing an individual tickets for trips?	A) 30 B) 28 C) 15 D) 25
3	s = - 1.5 and \$s = m^2 + 8m + a\$, a is a positive constant in the given system of equations. The system has exactly one distinct real solution. What is the value of a?	A) 13.5 B) 14.5 C) 16.4 D) 15.4
4	\$\sqrt(t + 7) = t - 5\$ Which of the following contains all possible solutions to the equation above?	A) 6 B) 4 C) 9 D) - 2
5	An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the market was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?	A) 16250 units B) 17500 units C) 16500 units D) 16750 units
6	The functions f and g are defined as \$f(x) = 1/4x - 9\$ and \$g(x) = 3/4 x + 21\$. If the function is defined as h(x) = f(x) + g(x) what is the x-coordinate of the x-intercept of the graph of y = h(x) in the xy-plane?	A) 12 B) 21 C) - 12 D) - 21
7	If 3a + 2b = 17 and 5a - 4b = 21, what is the value of b?	A) 1 B) 5 C) 2 D) 4
8	If \$a + b = 2m^2\$, b + c = 6m, a + c = 2, where m is the real number and a ≤ b ≤ c, then which one of the following is correct?	A) \$-1/3 ≤ m ≤ 1/2\$ B) -1 ≤ m ≤ 0 C) \$0 ≤ m ≤ 1/2\$ D) \$1/3 ≤ m ≤ 1\$
9	\$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 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?	A) 48.38 B) 16.38 C) 475.29 D) 507.29
10	Tim plans to complete 50 online quizzes within a month. Each quiz takes approximately 45 minutes to complete. If Tim has completed x quizzes within the month, which of the following expressions is the closest representation of the number of hours required to complete the remaining quizzes?	A) \$ 1/4 (30x) \$ B) 50x C) \$ 3/4 (50 - x) \$ D) 45(50 - x)

Problem Id

Problem

Options

\$s = (c - (1/4)i) / (c + 1)\$
A student’s score, S, is determined by the given formula, where C represents the number of correct answers and I represents the number of incorrect answers. Which of the following expresses / in terms of C and S?

A) \$s = (c(1 - 4s)) / (4s + 1)\$

B) \$s = (c(1 + 4s)) / (4s - 1)\$

C) \$s = (4c(1 + s)) / (4s - 1)\$

D) \$s = (4c(1 - s)) / (4s + 1)\$

A local transit company sells a monthly pass for $95 that allows unlimited trips of any length. Tickets for individual trips cost $1.50, $2.50, or$3.50, depending on the length of the journey. What is the minimum number of trips per month for which a monthly pass could cost less than purchasing an individual tickets for trips?

A) 30

B) 28

C) 15

D) 25

s = - 1.5 and \$s = m^2 + 8m + a\$, a is a positive constant in the given system of equations. The system has exactly one distinct real solution. What is the value of a?

A) 13.5

B) 14.5

C) 16.4

D) 15.4

\$\sqrt(t + 7) = t - 5\$ Which of the following contains all possible solutions to the equation above?

A) 6

B) 4

C) 9

D) - 2

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the market was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?

A) 16250 units

B) 17500 units

C) 16500 units

D) 16750 units

The functions f and g are defined as \$f(x) = 1/4x - 9\$ and \$g(x) = 3/4 x + 21\$. If the function is defined as h(x) = f(x) + g(x) what is the x-coordinate of the x-intercept of the graph of y = h(x) in the xy-plane?

A) 12

B) 21

C) - 12

D) - 21

If 3a + 2b = 17 and 5a - 4b = 21, what is the value of b?

A) 1

B) 5

C) 2

D) 4

If \$a + b = 2m^2\$, b + c = 6m, a + c = 2, where m is the real number and a ≤ b ≤ c, then which one of the following is correct?

A) \$-1/3 ≤ m ≤ 1/2\$

B) -1 ≤ m ≤ 0

C) \$0 ≤ m ≤ 1/2\$

D) \$1/3 ≤ m ≤ 1\$

\$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 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

A) 48.38

B) 16.38

C) 475.29

D) 507.29

Tim plans to complete 50 online quizzes within a month. Each quiz takes approximately 45 minutes to complete. If Tim has completed x quizzes within the month, which of the following expressions is the closest representation of the number of hours required to complete the remaining quizzes?

A) \$ 1/4 (30x) \$

B) 50x

C) \$ 3/4 (50 - x) \$

D) 45(50 - x)