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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Non-linear equations in one variable

Grade: 1300-a Lesson: S1-L6

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	Solve the equation \$\sqrt("x" + 3) + \sqrt(3) = 3\$.	A) 4 B) 1 C) 2 D) 3
2	If \$ \|4"x" - 4\| = 112\$, what is the positive value of x - 1?	A) 25 B) 28 C) 52 D) 82
3	\$("x" + 2) ("x" + 3) = ("x" - 2) ("x" - 3) + 10\$ Which of the following is a solution to the given equation?	A) - 1 B) 0 C) 2 D) 1
4	For the equation \$12"x"^2 + 5"x" - 143 = 0\$, what is one possible value of x?	A) 5.25 B) 3.52 C) 5.52 D) 3.25
5	A radioactive substance decays according to the model \$"N"("t") = "N"_0("e")^(− kt)\$, where \$"N"_0\$ is the initial quantity, k is the decay constant, and tt is time. If a sample initially has 500 grams and decays to 200 grams in 3 years, find the decay constant k.	A) 0.35 B) 0.503 C) 0.305 D) 0.53
6	Solve the equation \$"x"^4 − 4"x"^3 + 6"x"^2 − 4"x" + 1 = 0\$.	A) \$x = 1/2\$ B) x = 2 C) x = 1 D) x = 0
7	\$"x"^2 - "x" - 1 = 0\$ What values satisfy the equation above?	A) \$"x" = (1 + \sqrt(5))/2\$ and \$"x" = (1 - \sqrt(5))/2\$ B) x = 1 and x = 2 C) \$"x" = -(1/2)\$ and \$"x" = 3/2\$ D) \$"x" = (-1 + \sqrt(5))/2\$ and \$"x" = (-1 - \sqrt(5))/2\$
8	(x - 4)(x + 2)(x - 1) = 0 What is the product of the solutions to the given equation?	A) - 8 B) 3 C) 8 D) - 3
9	\$(2("x" + 1))/("x" + 5) = 1 - 1/("x" + 5)\$ What is the solution to the equation above?	A) 0 B) 2 C) 3 D) 5
10	\$- 4"x"^2 - 7"x" = - 36\$ What is the positive solution to the given equation?	A) \$7/4\$ B) \$9/4\$ C) 4 D) 7

Problem Id

Problem

Options

Solve the equation \$\sqrt("x" + 3) + \sqrt(3) = 3\$.

A) 4

B) 1

C) 2

D) 3

If \$ |4"x" - 4| = 112\$, what is the positive value of x - 1?

A) 25

B) 28

C) 52

D) 82

\$("x" + 2) ("x" + 3) = ("x" - 2) ("x" - 3) + 10\$
Which of the following is a solution to the given equation?

A) - 1

B) 0

C) 2

D) 1

For the equation \$12"x"^2 + 5"x" - 143 = 0\$, what is one possible value of x?

A) 5.25

B) 3.52

C) 5.52

D) 3.25

A radioactive substance decays according to the model \$"N"("t") = "N"_0("e")^(− kt)\$, where \$"N"_0\$ is the initial quantity, k is the decay constant, and tt is time. If a sample initially has 500 grams and decays to 200 grams in 3 years, find the decay constant k.

A) 0.35

B) 0.503

C) 0.305

D) 0.53

Solve the equation \$"x"^4 − 4"x"^3 + 6"x"^2 − 4"x" + 1 = 0\$.

A) \$x = 1/2\$

B) x = 2

C) x = 1

D) x = 0

\$"x"^2 - "x" - 1 = 0\$
What values satisfy the equation above?

A) \$"x" = (1 + \sqrt(5))/2\$ and \$"x" = (1 - \sqrt(5))/2\$

B) x = 1 and x = 2

C) \$"x" = -(1/2)\$ and \$"x" = 3/2\$

D) \$"x" = (-1 + \sqrt(5))/2\$ and \$"x" = (-1 - \sqrt(5))/2\$

(x - 4)(x + 2)(x - 1) = 0
What is the product of the solutions to the given equation?

A) - 8

B) 3

C) 8

D) - 3

\$(2("x" + 1))/("x" + 5) = 1 - 1/("x" + 5)\$ What is the solution to the equation above?

A) 0

B) 2

C) 3

D) 5

\$- 4"x"^2 - 7"x" = - 36\$
What is the positive solution to the given equation?

A) \$7/4\$

B) \$9/4\$

C) 4

D) 7