Daily Exam 1 – Algebra – Review Courses

Find the value of k so that the two roots of 2x² + 3kx + 9 = 0 are equal.

-2√2

Correct Incorrect Correct answer

3√2

Correct Incorrect Correct answer

√3

Correct Incorrect Correct answer

2√3

Correct Incorrect Correct answer

Find the sum of the coefficient of the expansion of (x + 2)⁴.

65

Correct Incorrect Correct answer

81

Correct Incorrect Correct answer

72

Correct Incorrect Correct answer

102

Correct Incorrect Correct answer

Find the value of k so that the equation 2x² + kx – 15 = 0 has one root x = 3.

-1

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

-3

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

Factor the expression 3x³ – 3x² – 18x.

3x(x – 3)(x + 2)

Correct Incorrect Correct answer

3x(x + 4)(x – 2)

Correct Incorrect Correct answer

3x(x + 2)(x + 2)

Correct Incorrect Correct answer

3x(x – 3)(x – 2)

Correct Incorrect Correct answer

What is the value of x in the equation, x – 1/x = 0?

x = -1

Correct Incorrect Correct answer

x = 1, 1/2

Correct Incorrect Correct answer

x = 1

Correct Incorrect Correct answer

x = -1, 1

Correct Incorrect Correct answer

Find the remainder if we divide 4y³ + 18y² + 8y – 4 by (2y + 3).

10

Correct Incorrect Correct answer

11

Correct Incorrect Correct answer

15

Correct Incorrect Correct answer

13

Correct Incorrect Correct answer

Given that f(x) = 4x² + 10x + k, find the value of k when f(-1) = 0.

6

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

Find the remainder when 5x⁶ – 4x⁴ – 7x³ + 2x – 3 is divided by x + 1.

3

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

10

Correct Incorrect Correct answer

Find the value of k so that x + 2 is a factor of 3x³ – kx² + 2x – 4.

-8

Correct Incorrect Correct answer

-6

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

If log 6 + x log 4 = log 4 + log (32 + 4ˣ). Find the value of x.

3

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

Find the coefficient of the binomial (x + 1)¹⁰ containing the x⁷ term.

120

Correct Incorrect Correct answer

100

Correct Incorrect Correct answer

125

Correct Incorrect Correct answer

130

Correct Incorrect Correct answer

Find the coefficient of the expansion of (2x + y)¹² containing the arm x³y⁹.

-1760

Correct Incorrect Correct answer

-1480

Correct Incorrect Correct answer

1560

Correct Incorrect Correct answer

1840

Correct Incorrect Correct answer

Find the coefficient of the expansion of (x – y)¹⁵ containing the x⁴y¹¹.

-1365

Correct Incorrect Correct answer

-1275

Correct Incorrect Correct answer

-1465

Correct Incorrect Correct answer

-1165

Correct Incorrect Correct answer

Find the middle term of the expansion of (x² – 5)⁸.

43750 x⁸

Correct Incorrect Correct answer

44736 x⁸

Correct Incorrect Correct answer

45827 x⁸

Correct Incorrect Correct answer

46940 x⁸

Correct Incorrect Correct answer

If 3 log x – log y = 0, express y interms of x.

y = x³

Correct Incorrect Correct answer

y = 1/x³

Correct Incorrect Correct answer

y = 3x

Correct Incorrect Correct answer

y = -3x

Correct Incorrect Correct answer

Find the term containing x⁹ in (x³ + 1/x)¹¹.

1023 x⁹

Correct Incorrect Correct answer

514 x⁹

Correct Incorrect Correct answer

462 x⁹

Correct Incorrect Correct answer

576 x⁹

Correct Incorrect Correct answer

The roots of the quadratic equation are 1/3 and 1/4. What is the equation?

12x² + 7x + 1 = 0

Correct Incorrect Correct answer

12x² – 7x + 1 = 0

Correct Incorrect Correct answer

12x² + 7x – 1 = 0

Correct Incorrect Correct answer

12x² – 7x – 1 = 0

Correct Incorrect Correct answer

Find the sum of the coefficients of expansion of (2x – 1)²⁰.

397

Correct Incorrect Correct answer

215

Correct Incorrect Correct answer

0

Correct Incorrect Correct answer

225

Correct Incorrect Correct answer

In the expression of (x + 2y)¹⁵, the numerical coefficient of the fifth term is:

3365

Correct Incorrect Correct answer

3480

Correct Incorrect Correct answer

3500

Correct Incorrect Correct answer

3810

Correct Incorrect Correct answer

If the ln x = 3 and ln y = 5, calculate in x²/y¹⁄₂.

1.5

Correct Incorrect Correct answer

2.5

Correct Incorrect Correct answer

3.5

Correct Incorrect Correct answer

4.5

Correct Incorrect Correct answer

Solve for x in the equations: x(x + y + z) = 2, y(x + y + z) = 6, and z(x + y + z) = 6.

1/2

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

1.5

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

Solve of x in the equations: 2(x + y) = 100 and 4(x – y) = 10.

4.15

Correct Incorrect Correct answer

4.35

Correct Incorrect Correct answer

4.55

Correct Incorrect Correct answer

4.75

Correct Incorrect Correct answer

What is the value of k to make the expression kx² – 3kx + 9 a perfect square?

2

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

What is the product of the two real solutions of the equation 2x = 3 – x²?

-3

Correct Incorrect Correct answer

-2

Correct Incorrect Correct answer

-4

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

The roots of the quadratic equation are 1/3 and -3/2. What is the equation?

6x² + 5x + 3 = 0

Correct Incorrect Correct answer

6x² – 7x – 3 = 0

Correct Incorrect Correct answer

6x² + 7x – 3 = 0

Correct Incorrect Correct answer

6x² – 7x + 3 = 0

Correct Incorrect Correct answer

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Daily Exam 1 – Algebra

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