Midterm Algebra

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

How many solutions will this system have?

Back

One

Front

Solve by substitution: y = 8x + 1, y = 6x + 3

Back

(1, 9)

Front

Solve by elimination: 4x + 9y = 28, -4x - y = -28

Back

(7, 0)

Front

Identify the slope and y-intercept of: y = 1/5x + 5

Back

slope: 1/5, y-intercept: 5

Front

What is the definition of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates the steepness and direction of the line.

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.