Quiz At Home

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: at Home

Problem Id Problem Options

1

\$ - "x"^2 + "bx" - 676 = 0\$
In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b?

A) 50

B) 51

C) 48

D) 41

2

\$ ("x" - 1)^2 = - 4\$
How many distinct real solutions does the given equation have?

A) Exactly one

B) Zero

C) Exactly two

D) Infinitely many

3

\$ "x"^2 - "ax" + 12 = 0\$
In the equation above, a is constant, and a > 0. If the equation has two integer solutions, what is a possible value of a?

A) 7

B) 13

C) 8

D) All the above

4

\$"x"^2 - 34"x" + "c" = 0\$
In the given equation, c is a constant. The equation has no real solutions if c > n. What is the least possible value of n?

A) 296

B) 282

C) 298

D) 289

5

\$ "x"("kx" - 56) = - 16\$
In the given equation, k is an integer constant. If the equation has no real solution, what is the least possible value of k?

A) 57

B) 59

C) 50

D) 45

6

Find the solutions to \$\sqrt(2"x" + 1) + \sqrt("x") = 4\$.

A) \$19/2\$

B) \$9\$

C) \$9/2\$

D) \$2/3\$

7

Determine the roots of \$("x"^2 + 1)/"x" = 3\$.

A) x = 2

B) x = 1

C) x = 0

D) x = -1

8

Find all real solutions to \$\sqrt("x" + 3) - \sqrt("x") = 1\$.

A) x = 1

B) x = 2

C) x = \$1/2\$

D) x = -1

9

\$"z"^2 + 10"z" - 24 = 0\$
What is one of the solutions to the given equation?

A) (-2, 12)

B) (2, -12)

C) (2, 12)

D) (-2, -12)

10

\$5"x"^2 - 37"x" - 24 = 0\$
What is the positive solution to the given equation?

A) 3

B) 8

C) 37

D) \$3/5\$


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