Unit 7 Review - Systems

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

Front

How do you solve a system of equations by graphing?

Back

To solve by graphing, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect. This point is the solution to the system.

Tags

CCSS.8.EE.C.8B

Front

What does the solution (3, 7) represent in a system of equations?

Back

The solution (3, 7) means that when x = 3 and y = 7, both equations in the system are satisfied.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you represent a real-world situation with a linear equation?

Back

You can represent a real-world situation by identifying the variables, determining the relationship between them, and forming an equation based on that relationship.

Front

What is the meaning of the equation E = 8.25h + 85?

Back

This equation represents Bill's total earnings (E) based on the number of hours worked (h), where he earns $8.25 per hour plus a fixed amount of $85.

Tags

CCSS.HSF.LE.B.5

Front

What does the inequality y ≤ x + 4 represent graphically?

Back

The inequality y ≤ x + 4 represents all the points on or below the line y = x + 4 in the coordinate plane.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the solution (0, 3) in a system of equations?

Back

The solution (0, 3) indicates that when x = 0, y = 3 satisfies both equations in the system.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

How do you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution, substitute the x and y values of the point into each equation. If both equations are true, the point is a solution.