Semester Exam Review

Front

What is the equation for a repairman's total pay if he charges $75 plus $40 per hour?

Back

y = 40x + 75, where y is the total pay and x is the number of hours worked.

Front

If y varies directly with x, and x = 195 when y = 15, what is the relationship between x and y?

Back

y = kx, where k = 15/195 = 0.0769.

Front

What is the measure of an angle if it is given as \angle2 and the options are 65°, 115°, 180°, and 90°?

Back

The measure of \angle2 is 65°.

Front

Solve for x in the equation: 2x + 4 = 16.

Back

x = 6.

Front

Which set of side lengths does not form a right triangle: (14, 15, 29), (38, 80, 89), (16, 63, 65)?

Back

The set (14, 15, 29) does not form a right triangle.

Front

What does it mean for y to vary directly with x?

Back

It means that as x increases, y increases proportionally, represented by the equation y = kx.

Front

What is the formula for calculating the total pay of a worker based on hourly wage and hours worked?

Back

Total Pay = Hourly Wage * Hours Worked + Fixed Charge.

Front

If y = 117 when y varies directly with x and x = 195, what is the value of y when x = 9?

Back

y = 117 * (9/195) = 5.4.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you determine if three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.