Equations and Inequalities

Solve for x: 2x + 5 = 15

• x = 3

• x = 4

• x = 5

• x = 6

What is an inequality?

• A mathematical statement that shows two expressions are equal.

• A mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

• A type of equation that only involves addition and subtraction.

• A graphical representation of a mathematical function.

Solve for x: 4x - 7 = 9

• x = 2

• x = 3

• x = 4

• x = 5

What is a variable in an equation?

• A variable is a constant value that does not change.

• A variable is a symbol, often a letter, that represents an unknown value in an equation.

• A variable is a type of equation that has no solution.

• A variable is a number that is always positive.

What does 'x ≤ 10' mean?

• It means that x can be any number less than or equal to 10.

• It means that x can be any number greater than or equal to 10.

• It means that x can only be the number 10.

• It means that x can be any negative number.

What is the purpose of solving inequalities?

• To find the exact value of a variable

• To find the range of values that satisfy the given condition

• To simplify algebraic expressions

• To determine the maximum value of a function

Solve for k: 2k + 8 = 24

• k = 6

• k = 7

• k = 8

• k = 9

What is the difference between an equation and an inequality?

• An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

• An equation shows that one expression is greater than or less than another, while an inequality states that two expressions are equal.

• An equation is a mathematical statement that includes variables, while an inequality does not.

• An equation can only contain numbers, while an inequality can contain both numbers and variables.

Solve for x: x + 7 > 10

• x > 2

• x > 3

• x > 5

• x > 10

What does it mean to solve an equation?

• To find the value of the variable that makes the equation true.

• To rewrite the equation in a different form.

• To graph the equation on a coordinate plane.

• To determine the number of solutions an equation has.