Algebra 1 Semester 1 final exam review

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. How many solutions does it have?

Back

The equation has infinite solutions.

Front

Solve for x: 2x - 3 + 4x = 27.

Back

x = 5.

Front

What is the y-intercept of the equation y = 3x + 7?

Back

The y-intercept is (0, 7).

Front

Solve the system of equations: x + 2y = -4 and x - 2y = 8. What is the solution?

Back

The solution is (2, -3).

Front

Find the y-intercept of the equation 3x + y = 5.

Back

The y-intercept is (0, 5).

Front

What does it mean if an equation has no solutions?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the solution to the equation 5x + 2 = 17?

Back

x = 3.