values

Question 2

What is an algebraic equation?

Answer 2

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants.

Question 3

In the equation x + 6 = 13, what is the independent variable?

Answer 3

The independent variable is x.

Question 4

In the equation x + 6 = 13, what is the dependent variable?

Answer 4

The dependent variable is the expression that depends on x, which in this case is 13.

Question 5

True or False: In the equation y = 2x + 3, y is a dependent variable.

Answer 5

True.

Question 6

What is the solution to the equation x + 6 = 13?

Answer 6

The solution is x = 7.

Question 7

Fill in the blank: In the equation 3y - 4 = 11, the term ‘3y’ is called a _____ term.

Answer 7

linear.

Question 8

What do you call the numbers that do not have variables in an algebraic expression?

Answer 8

Constants.

Question 9

What is the first step to solve the equation x + 6 = 13?

Answer 9

Subtract 6 from both sides.

Question 10

In the equation y = mx + b, what does ‘m’ represent?

Answer 10

‘m’ represents the slope of the line.

Question 11

True or False: In a linear equation, the graph will always be a straight line.

Answer 11

True.

Question 12

What is the value of y when x = 2 in the equation y = 3x + 4?

Answer 12

y = 10.

Question 13

Identify the term that represents the variable in the equation 2x + 5 = 15.

Answer 13

2x.

Question 14

Multiple Choice: Which of the following is a linear equation? A) x^2 + 3 = 0 B) 2x + 5 = 10 C) 3y^2 - y = 7

Answer 14

B) 2x + 5 = 10.

Question 15

What is the result of solving the equation 5x = 20?

Answer 15

x = 4.

Question 16

Fill in the blank: The equation y = 4x - 1 is in _____ form.

Answer 16

slope-intercept.

Question 17

What is the standard form of a linear equation?

Answer 17

Ax + By = C, where A, B, and C are constants.

Question 18

True or False: The term ‘coefficients’ refers to the numerical factors in a term.

Answer 18

True.

Question 19

What is the dependent variable in the equation y = 3x + 5?

Answer 19

y.

Question 20

In the equation x - 4 = 10, what is the value of x?

Answer 20

x = 14.

Question 21

What is the slope of the line represented by the equation y = 2x + 1?

Answer 21

The slope is 2.

Question 22

Fill in the blank: The expression 7x + 2 consists of _____ terms.

Answer 22

two.

Question 23

True or False: The equation y = -5 is a linear equation.

Answer 23

True.

Question 24

What does the term ‘intercept’ refer to in a linear equation?

Answer 24

The point where the line crosses the y-axis (y-intercept) or x-axis (x-intercept).

Question 25

What is the general solution of the equation 2x + 3 = 11?

Answer 25

x = 4.

Question 26

Multiple Choice: Which of the following represents a quadratic equation? A) 2x + 3 = 0 B) x^2 - 5x + 6 = 0 C) 3y = 9

Answer 26

B) x^2 - 5x + 6 = 0.

Question 27

What is the process of finding the value of a variable that satisfies an equation called?

Answer 27

Solving the equation.