Alg I 5.1-5.4 review

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What system of equations represents a scenario where a customer buys 10 items for a total of $20.50, with pens costing $1.20 each and notebooks costing $2.50 each?

Back

p + n = 10 and 1.20p + 2.50n = 20.50

Front

Solve the system: y = 2x + 1 and y = 4x - 1. What is the solution?

Back

(1, 3)

Front

Solve the system: 3x + 2y = 16 and 7x + y = 19. What is the solution?

Back

(2, 5)

Front

What system of equations represents a family of 6 people ordering chicken for $14.80 and steak for $17, with a total bill of $91?

Back

x + y = 6 and 14.80x + 17y = 91

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be coincident?

Back

They lie on top of each other and have infinitely many solutions.

Front

What is the substitution method in solving systems of equations?

Back

It involves 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

It involves adding or subtracting equations to eliminate one variable.

Front

What is the graphical method for solving systems of equations?

Back

It involves graphing each equation on the same coordinate plane and identifying the point(s) of intersection.