Question 1

A quadratic equation is factorized into the for (2x + 3)(x + 4) = 0. Which option below is the equivalent equation in the form ax2 + bx + c = 0?

Accepted Answer

A)  x2 + 11x + 12 = 0 
B)  x2 + 11x + 7 = 0 
C)  2x2 + 11x + 12 = 0 
D)  2x2 + 11x + 7 = 0 
A)  x2 + 11x + 12 = 0 
B)  x2 + 11x + 7 = 0 
C)  2x2 + 11x + 12 = 0 
D)  2x2 + 11x + 7 = 0 C

Question 2

What is the maximum power of a variable in a quadratic equation?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
A)  1 
B)  2 
C)  3 
D)  4 B

Question 3

What is the MAXIMUM number of solutions for a cubic equation?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
A)  1 
B)  2 
C)  3 
D)  4 C

Question 4

When a quadratic equation is solved graphically, which feature of the graph represents the solution(s) to the equation?

Accepted Answer

A)  The mean gradient of the curve 
B)  The point(s) at which the graph crosses the vertical (y) axis 
C)  The point(s) at which the graph crosses the horizontal (x) axis 
D)  The area between the curve and the horizontal axis 
A)  The mean gradient of the curve 
B)  The point(s) at which the graph crosses the vertical (y) axis 
C)  The point(s) at which the graph crosses the horizontal (x) axis 
D)  The area between the curve and the horizontal axis

Question 5

What is the only solution for the equation y = -2x2 + 4x - 2?

Accepted Answer

A)  x = -0.5 
B)  x = 0 
C)  x = 0.5 
D)  x = 1 
A)  x = -0.5 
B)  x = 0 
C)  x = 0.5 
D)  x = 1

Question 6

Which is the correct form of a cubic equation when a = 3; b = -6; c = 2; d = 4?

Accepted Answer

A)  y = 3x3 + 6x2 + 2x + 4 
B)  y = 3x3 - 6x2 - 2x + 4 
C)  y = 3x3 + 6x2 + 2x - 4 
D)  y = 3x3 - 6x2 + 2x + 4 
A)  y = 3x3 + 6x2 + 2x + 4 
B)  y = 3x3 - 6x2 - 2x + 4 
C)  y = 3x3 + 6x2 + 2x - 4 
D)  y = 3x3 - 6x2 + 2x + 4

Question 7

The formula y = 2x2 + 5x +2 has two solutions for x. One is x = -3.5. Find the other using the formula method.

Accepted Answer

A)  x = 1 
B)  x = 1.5 
C)  x = 2 
D)  x = 2.5 
A)  x = 1 
B)  x = 1.5 
C)  x = 2 
D)  x = 2.5

Question 8

What is the MAXIMUM number of solutions for a quadratic equation?

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 9

Which of the following options represents a quadratic equation when a = 3, b = -3 and c = 4?

Accepted Answer

A)  y = 3x2 + 3x +4 
B)  y = 3x2 - 3x - 4 
C)  y = 3x2 - 3x + 4 
D)  y = 3x2 + 3x - 4 
A)  y = 3x2 + 3x +4 
B)  y = 3x2 - 3x - 4 
C)  y = 3x2 - 3x + 4 
D)  y = 3x2 + 3x - 4

Question 10

A quadratic equation is factorized into the form (x - 5)(x + 6) = 0. Which option below shows the correct pair of solutions for x?

Accepted Answer

A)  x = 5; x = -6 
B)  x = 5; x = 6 
C)  x = -5; x = -6 
D)  x = -5; x = 6 
A)  x = 5; x = -6 
B)  x = 5; x = 6 
C)  x = -5; x = -6 
D)  x = -5; x = 6

Exam 26: Quadratic and Cubic Equations

A quadratic equation is factorized into the for (2x + 3)(x + 4) = 0. Which option below is the equivalent equation in the form ax2 + bx + c = 0?

What is the maximum power of a variable in a quadratic equation?

What is the MAXIMUM number of solutions for a cubic equation?

When a quadratic equation is solved graphically, which feature of the graph represents the solution(s) to the equation?

What is the only solution for the equation y = -2x2 + 4x - 2?

Which is the correct form of a cubic equation when a = 3; b = -6; c = 2; d = 4?

The formula y = 2x2 + 5x +2 has two solutions for x. One is x = -3.5. Find the other using the formula method.

What is the MAXIMUM number of solutions for a quadratic equation?

Which of the following options represents a quadratic equation when a = 3, b = -3 and c = 4?

A quadratic equation is factorized into the form (x - 5)(x + 6) = 0. Which option below shows the correct pair of solutions for x?

Introduction to Business Mathematics and Statistics

Sampling and Data Collection

Data and Their Accuracy

Frequency Distributions and Charts

General Charts and Graphs

Arithmetic Mean

Median

Mode and Other Measures of Location

Measures of Dispersion and Skewness

Standard Deviation

Quantiles and the Quartile Deviation

Linear Functions and Graphs

Regression Techniques

Correlation Techniques

Time Series Model

Time Series Trend

Seasonal Variation and Forecasting

Index Relatives

Composite Index Numbers

Special Published Indices

Interest and Depreciation

Present Value and Investment Appraisal

Annuities

Functions and Graphs

Linear Equations

Differentiation and Integration

Cost, Revenue and Profit Functions

Set Theory and Enumeration

Introduction to Probability

Conditional Probability and Expectation

Combinations and Permutations

Binomial and Poisson Distributions

Normal Distribution

Linear Inequalities

Matrices

Inventory Control

Network Planning and Analysis

Filters

A quadratic equation is factorized into the for (2x + 3)(x + 4) = 0. Which option below is the equivalent equation in the form ax² + bx + c = 0?

What is the only solution for the equation y = -2x² + 4x - 2?

The formula y = 2x² + 5x +2 has two solutions for x. One is x = -3.5. Find the other using the formula method.