REASSESSMENT WORK Systems of Equations Test review (L13 & L14)

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.

Front

How do you solve a system of equations graphically?

Back

To solve graphically, plot each equation on the same graph and identify the point(s) where they intersect.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions, meaning the equations do not intersect at any point.

Front

What is the substitution method for solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method for solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the graphical representation of the equations Y = 2x - 1 and Y = 3x - 2?

Back

The graphical representation shows two lines that intersect at the point (1, 1), which is the solution to the system.

Front

How can you represent the number of chickens and cows in a system of equations?

Back

Let c = number of cows and k = number of chickens. The system is c + k = 200 and k = 2c.

Front

What system of equations represents the total number of coins and their value in the problem about Dennis?

Back

Let d = number of dimes and n = number of nickels. The system is d + n = 80 and 0.10d + 0.05n = 6.60.

Front

How do you set up a system of equations for the total yards rushed by two players?

Back

Let x = yards rushed by one player and y = yards rushed by the other. The system is x + y = 1550 and y = 4x.