M2 Cat B Linear Equations

What is a linear equation?

• An equation with variables raised to the power of two

• An equation with only the first power of the unknown quantity

• An equation with no variables

• An equation with variables raised to the power of three

What is an identity in algebra?

• An equation that is true for only one value of the variable

• An equation that is true no matter what values are chosen

• An equation that has no solution

• An equation that is true for negative values only

Which of the following is an example of a linear equation?

• x² + 3 = 5

• 7t - 5 = 4t + 7

• x³ + 2x = 5

• x + y = xy

What must be done to both sides of an equation to preserve equality?

• Add different values to each side

• Multiply one side by a different number

• Perform the same operation on both sides

• Subtract different values from each side

What is the purpose of simplifying linear equations?

• To make them more complex

• To solve them more easily

• To add more variables

• To make them unsolvable

What is the value of x in the equation x + 3 = 5?

• 1

• 2

• 3

• 4

What is the definition of an arithmetical quantity?

• A variable with no value

• A definite value, such as 93 or 3.77

• A value that changes with variables

• A negative number

What is the main characteristic of linear equations?

• They contain variables raised to the power of two

• They contain only the first power of the unknown quantity

• They have no solutions

• They are always identities

What operation can be used to simplify linear equations?

• Adding different values to each side

• Subtracting, multiplying, or dividing the same quantity from each side

• Multiplying one side by a different number

• Adding variables to each side

What does the left-hand side of an equation represent?

• A different value than the right-hand side

• The same value as the right-hand side

• A variable only

• A constant only