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Quiz In Class

Title: Non-linear equations in one variable

Grade Lesson s3-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

Id	Name	Note
1	Solve the equation \$\sqrt(x +3) + \sqrt(3) = 3\$.	A) 4 B) 2 C) 1 D) 3
2	If \$\|4x - 4\| = 112\$, what is the positive value of x -1?	A) 28 B) 25 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 \$12x^2 + 5x - 143 = 0\$, what is one possible value of x?	A) 5.25 B) 3.25 C) 5.52 D) 3.52
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) 0.305 B) 0.503 C) 0.35 D) 0.53
6	Solve the equation \$x^4 − 4x^3 + 6x^2 − 4x + 1 = 0\$.	A) \$x = 1/2\$ B) x = 1 C) x = 2 D) x = 0
7	\$x^2 - x - 1 = 0\$ What values satisfy the equation above?	A) \$x = -(1/2)\$ and \$x = 3/2\$ B) x = 1 and x = 2 C) \$x = (1 + \sqrt(5))/2\$ and \$x = (1 - \sqrt(5))/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) -3 B) 3 C) 8 D) -8
9	\$(2(x + 1))/(x + 5) = 1 - 1/(x + 5)\$ What is the solution to the equation above?	A) 2 B) 0 C) 3 D) 5
10	\$- 4x^2 - 7x = - 36\$ What is the positive solution to the given equation?	A) \$7/4\$ B) \$9/4\$ C) 4 D) 7

Name

Note

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

A) 4

B) 2

C) 1

D) 3

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

A) 28

B) 25

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

A) 5.25

B) 3.25

C) 5.52

D) 3.52

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) 0.305

B) 0.503

C) 0.35

D) 0.53

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

A) \$x = 1/2\$

B) x = 1

C) x = 2

D) x = 0

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

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

B) x = 1 and x = 2

C) \$x = (1 + \sqrt(5))/2\$ and \$x = (1 - \sqrt(5))/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) -3

B) 3

C) 8

D) -8

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

A) 2

B) 0

C) 3

D) 5

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

A) \$7/4\$

B) \$9/4\$

C) 4

D) 7