Semester 1 Review: Algebra 1

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is the point where the graph crosses the x-axis. For the equation 3x + 8y = 24, the x-intercept is (8, 0).

Front

Solve for t: -5t + 9 = 24

Back

t = -3.

Front

Which inequality corresponds to the graph with a slope of -3/4 and a y-intercept of 3?

Back

y ≥ -3/4 x + 3.

Front

Solve the equation: 2(2t - 3) = 6(t + 2)

Back

t = -9.

Front

Select the correct graph for the inequality y < -3/4 x + 3.

Back

Graph B.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' (>) means the value cannot equal the number, while 'greater than or equal to' (≥) means the value can equal the number.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.