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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• 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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -

Tags

CCSS.8.EE.C.8B

Categorize the given system of linear equations

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -

Tags

CCSS.8.EE.C.8B

Categorize the given system of linear equations

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

• -

Tags

CCSS.8.EE.C.8B