Monday 12/2

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 set of values that satisfy all equations in the system.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the problem into equations based on the relationships described, and ensure the equations reflect the conditions given in the problem.

Front

What does it mean to solve a system of equations using substitution?

Back

To solve a system using substitution, you solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the solution to the system of equations 3x + 2y = 8 and -x + y = -11?

Back

(6, -5)

Front

What transformation occurs when f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

How can you express the total number of coins in a word problem involving dimes and nickels?

Back

Let d = number of dimes and n = number of nickels. The equation is d + n = total number of coins.

Front

What is the value of dimes if the total value of coins is $6.60 and there are 80 coins?

Back

The system of equations is d + n = 80 and 0.10d + 0.05n = 6.60.

Front

What does it mean for a function to be translated vertically?

Back

A vertical translation shifts the graph of the function up or down without changing its shape.

Front

What is the first step in solving the system of equations 2y + x = -15 and x = 3y?

Back

Substitute x = 3y into the first equation.

Front

What is the solution to the system of equations 2y + x = -15 and x = 3y?

Back

(-9, -3)