Transversals, Solving & writing equations and inequalities

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

If two parallel lines are cut by a transversal, what can be said about the corresponding angles?

Back

The corresponding angles are equal.

Front

What is the equation to solve for n in the equation 5n + 34 = −2(1− 7n)?

Back

n = 4

Front

How do you write an inequality to compare costs of two services?

Back

Set up an inequality where one service's total cost is greater than the other service's total cost.

Front

What does the inequality 80 + 9.50x > 120 + 7.50x represent?

Back

It represents the condition under which The Rug Store's installation cost exceeds that of The Magic Carpet.

Front

What is the first step in solving the inequality 30 + 20x < 15 + 30x?

Back

Subtract 20x from both sides to isolate the variable.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What does the solution n = 4 indicate in the equation 5n + 34 = −2(1− 7n)?

Back

It indicates that when n is 4, both sides of the equation are equal.

Front

What is the meaning of the inequality 25 - x < 15 + x?

Back

It represents a situation where the remaining amount after spending x must be less than the total spent.