Semester 1 Exam Review

Front

What is the inequality represented by the graph of y > -2x - 3?

Back

The inequality y > -2x - 3 represents all points above the line -2x - 3 in the coordinate plane.

Front

Solve for a in the equation u = \frac{(ak)}{b}.

Back

a = \frac{(ub)}{k}

Front

Write the equation for the total cost (C) of towing a vehicle for m miles, given a flat fee of $50 and $8 per mile.

Back

C = 8m + 50

Front

Solve for x in the equation -3x + 2c = 3.

Back

x = \frac{3 - 2c}{-3}

Front

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Back

The 59th term is -496.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 26, 17, 8, ...?

Back

The common difference is -9.

Front

What does it mean to solve for a variable in an equation?

Back

To solve for a variable means to isolate that variable on one side of the equation.

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.