Algebra Fall Semester Final

Front

What is the y-intercept of the equation y = 7?

Back

The y-intercept is 7.

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4.

Front

Evaluate the expression 2x + 5(y - 1) when x=8 and y=5.

Back

The result is 36.

Front

What does the inequality 6 > x represent on a number line?

Back

It represents all values less than 6.

Front

What inequality is represented by the graph showing x > 2 or x ≤ -3?

Back

The inequality is x > 2 or x ≤ -3.

Front

Define a compound inequality.

Back

A compound inequality combines two simple inequalities using 'and' or 'or'.

Front

What does 'and' mean in a compound inequality?

Back

Both conditions must be true for a solution to be valid.

Front

What does 'or' mean in a compound inequality?

Back

At least one of the conditions must be true for a solution to be valid.

Front

How do you graph the compound inequality x < 3 and x > 1?

Back

Shade the region between 1 and 3, not including the endpoints.

Front

What is the solution set for the compound inequality x ≤ 2 or x > 5?

Back

The solution set includes all numbers less than or equal to 2 and all numbers greater than 5.