Recall: Linear equations in two variables

Which of the following equations is written in standard form?

• 2x + 3y = -5

• 4y - x = 9

• y = 3x + 11

• y = 1/2x + 4

Answer explanation

The equation 2x + 3y = -5 is written in standard form because it has the variables (x and y) on the left side and the constant term (-5) on the right side.

Two or more linear equations that are considered together is called __________?

• Quadratic Equations

• Systems of Linear Equations

• Group of Linear Equations

• Set of Linear Equations

Answer explanation

Systems of Linear Equations is the correct choice because it refers to two or more linear equations considered together.

In rewriting 2x + 4y = 12 in slope-intercept form, which term should you move first?

• 2x

• 4y

• 12

• 2

Answer explanation

To rewrite the equation in slope-intercept form, you should move the term 2x first.

In the resulting equation 4y = -2x + 12, what should you divide to the equation

to get the slope-intercept form?

• 12

• -2

• 4

• 8

Answer explanation

To get the slope-intercept form, divide the equation by 4, which is the coefficient of y. This isolates y and gives the equation in the form y = mx + b, where m is the slope and b is the y-intercept.

• m = 1/2; b = 3

• m = 3; b = -1/2

• m = -1/2; b = 1

• m = -1/2; b = 3

Answer explanation

The slope of the equation is -1/2 and the y-intercept is 3, which matches the correct choice.

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -

Categorize the given system of linear equations

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -

Categorize the given system of linear equations

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -