Desmos Practice

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of linear equations graphically?

Back

By graphing each equation on the same coordinate plane and identifying the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of linear equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of linear equations has no solutions?

Back

It means that the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations 3x - 2y = 12 and 2x + y = 1?

Back

(2, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the inequality represented by the graph with a shaded area below the line y = 2/5x + 1?

Back

y ≤ 2/5x + 1

Tags

CCSS.HSA.REI.D.12

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, write equations based on the relationships described, and ensure they represent the same context.

Tags

CCSS.8.EE.C.8C

Front

What is the cost of left-handed gloves if the equation is 45x + 52y = 561?

Back

$52 each.

Front

What does the term 'solution' refer to in the context of a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of the inequality y ≥ -2/5x + 1?

Back

A shaded area above the line, including the line itself.

Tags

CCSS.HSA.REI.D.12