HW: 4 - 15/18 (Week 16)

Front

Solve for y: 8x + 4y = 16

Back

y = -2x + 4

Front

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system can be used to figure out how many of each animal the farm has?

Back

d + c = 50, 4d + 2c = 174

Front

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

Back

x + y = 33, x = 2y - 3

Front

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Back

4x + 3y = 134, 3x + 3y = 120

Front

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

Back

x + y = 15, 4x + 2y = 44

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations?

Back

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

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.