Slope-Intercept Mastery

Is this an expression or an equation?

2x + 3 = 7

• Expression

• Equation

Answer explanation

The correct choice is Equation because the expression 2x + 3 = 7 contains an equal sign, making it an equation rather than just an expression.

Is this an expression or an equation?

5y - 4

• Expression

• Equation

Answer explanation

The given expression '5y - 4' does not have an equal sign, so it is classified as an expression, not an equation.

Is this an expression or an equation?

x² + 3x + 1 = 0

• Expression

• Equation

Answer explanation

The given expression x² + 3x + 1 = 0 contains an equal sign, making it an equation.

Is this an expression or an equation?

4x² + 2x - 6

• Expression

• Equation

Answer explanation

This is an expression because it is a mathematical phrase without an equal sign.

Is this an expression or an equation?

7 + 2x

• Expression

• Equation

Answer explanation

The given expression '7 + 2x' does not have an equal sign, so it is classified as an expression rather than an equation.

Is this a linear equation or not?

3x + 5 = 8

• Linear

• Not Linear

Answer explanation

The given equation 3x + 5 = 8 is a linear equation because there are no exponents greater than 1, such as x², x³, x⁴

(Remember than 'x' is the same as x¹ , and both represent 1 factor of 'x')

Is this a linear equation or not?

x² + 4x + 4 = 0

• Linear

• Not Linear

Answer explanation

The given equation x² + 4x + 4 = 0 is not linear because it contains a squared term (x²), making it a quadratic equation.

Is this a linear equation or not a linear equation?

y = -2x + 3

• Linear

• Not Linear

Answer explanation

The given equation y = -2x + 3 is a linear equation because there are no exponents greater than 1, such as x², x³, x⁴, and because it represents a straight line when graphed.

Is this a linear equation or not a linear equation?

y = x³ + 1

• Linear

• Not Linear

Answer explanation

The function y = x³ + 1 is not linear because it contains a term with x raised to the power of 3, making it a non-linear function (this one is cubic).

• Linear

• Not Linear

Answer explanation

The given equation is a linear equation because there are no exponents greater than 1, such as x², x³, x⁴, and because it is in the form of y = mx + b (the slope-intercept form of a linear equation).