CUA 4 Test Corrections

Front

Solve by substitution: y=3x+14 and y=-4x. What is the value of y?

Back

y = -2

Front

What is the value of the y-coordinate in the system of equations: 6x + 10y = -32 and 6x + 9y = -27?

Back

y = -5

Front

You sold hot dogs for $1.50 and sodas for $0.50, making a total of $78.50 from 87 items. How many hot dogs and sodas were sold?

Back

35 hot dogs and 52 sodas

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines

Front

When both lines in a system are identical, the system has __________.

Back

infinite solutions

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 parallel?

Back

They have the same slope and will never intersect.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.