Final Exam Review - Algebra 1

Front

Solve the equation for x: -8x - 6 = 2x + 14

Back

x = -2

Front

If f(x) = 2x - 3 and f(x) = 15, find the value of x.

Back

x = 9

Front

Find the 34th term of the arithmetic sequence: 9, 14, 19, 24,...

Back

The 34th term is 227.

Front

Write an equation for the nth term of the arithmetic sequence: 9, 14, 19, 24,...

Back

The nth term is given by the formula: a_n = 9 + 5(n-1) = 5n + 4.

Front

Identify the graph of the system of inequalities: y < 2x + 3 and y > -x + 1

Back

Graph shows the shaded regions representing the inequalities.

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

Define the term 'variable' in algebra.

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.