Algebra III First Semester Test 2024

Front

Find (f + g)(x) if f(x) = 2x and g(x) = 2.

Back

(f + g)(x) = 2x + 2.

Front

What is g(2) if g(x) = 3x + 1?

Back

g(2) = 3(2) + 1 = 7.

Front

If a system of equations has one solution, what does the graph look like?

Back

The graph consists of intersecting lines.

Front

If a system has infinite solutions, what does it mean?

Back

The lines or planes are the same line.

Front

Solve for y: 5x + y = -10

Back

y = -5x - 10.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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 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.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).