Equation And Inequalities

Question 1

What is an equation?

Answer 1

An equation is a mathematical statement that asserts the equality of two expressions.

Question 2

True or False: An inequality shows that two expressions are not necessarily equal.

Answer 2

True

Question 3

What is the standard form of a linear equation?

Answer 3

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Question 4

Fill in the blank: In the equation 3x + 5 = 11, the value of x is ___

Answer 4

2

Question 5

What symbol is used to represent ‘greater than’ in inequalities?

Answer 5

>

Question 6

What is the solution to the inequality x - 4 < 6?

Answer 6

x < 10

Question 7

True or False: The solution set of an equation can consist of more than one value.

Answer 7

True

Question 8

What does it mean if an inequality is represented as x ≤ 5?

Answer 8

It means that x can be any number less than or equal to 5.

Question 9

What is the first step to solve the equation 2x + 3 = 7?

Answer 9

Subtract 3 from both sides.

Question 10

What is a solution to the equation 4x = 20?

Answer 10

x = 5

Question 11

Multiple Choice: Which of the following is NOT a type of inequality? A) Linear B) Quadratic C) Cubic D) Exponential

Answer 11

D) Exponential

Question 12

What is the graph of a linear equation typically called?

Answer 12

A line

Question 13

Fill in the blank: The inequality x + 3 > 2 can be rewritten as x > ___

Answer 13

-1

Question 14

What does the symbol ‘≥’ represent in inequalities?

Answer 14

Greater than or equal to

Question 15

True or False: The solution of the inequality 5x - 2 > 3x + 4 is x > 3.

Answer 15

True

Question 16

What is the term for the highest power of a variable in a polynomial equation?

Answer 16

Degree

Question 17

What is the solution to the equation 3(x - 2) = 12?

Answer 17

x = 6

Question 18

Multiple Choice: Which of the following represents a quadratic equation? A) x + 1 = 0 B) x^2 - 4 = 0 C) 3x = 5 D) x - 3 = 7

Answer 18

B) x^2 - 4 = 0

Question 19

What is the solution set of the inequality 2x + 1 ≤ 5?

Answer 19

x ≤ 2

Question 20

Fill in the blank: The equation y = mx + b represents a line in slope-intercept form, where m is the ___ and b is the ___

Answer 20

slope; y-intercept

Question 21

What is the value of x in the equation 7 - 2x = 1?

Answer 21

x = 3

Question 22

True or False: The solution to an equation can be a set of numbers.

Answer 22

True

Question 23

What is the term for an equation that has no solution?

Answer 23

Inconsistent equation

Question 24

What does it mean if the inequality x < 0 is true?

Answer 24

x is a negative number.

Question 25

Multiple Choice: Which inequality sign means 'less than'? A) > B) < C) ≥ D) ≤

Answer 25

B) <

Question 26

What is the solution to the equation 5x - 7 = 3x + 1?

Answer 26

x = 4