12/4 Writing Systems of Equations

Front

What are the variables in a taco shop where the cost for a taco is $1.50 and the cost for a coffee is $2.00?

Back

Tacos, coffee

Front

If you purchase 2 bottle waters and 3 candy bars for $5.25, and your friend purchases 5 bottle waters and 1 candy bar for $8.25, how much would your best friend spend if he/she purchased 4 water bottles and 8 candy bars?

Back

$12.00

Front

Two brothers went shopping where all shirts and shorts were the same price. The younger brother spent $175 on 7 shirts and 7 shorts. The older brother spent $165 on 6 shirts and 7 shorts. How much did one shirt cost?

Back

$10

Front

What is the solution to the system of equations represented by the points (1,3)?

Back

(1,3)

Front

Which system of equations matches the graph: x + y = 2 and x - y = -2?

Back

x - y = -2, x + y = 4

Front

Define a system of equations.

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

It means the equations represent parallel lines that never intersect.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines on a graph represent the solution(s) to the system.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute 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.