Algebra 1 Q2 Review

Front

Simplify the equation: 3x - 8 = 3(x - 4) + 1. Does it have one, no, or infinite solutions?

Back

The equation has no solutions.

Front

Solve the inequality: 14 < -2a + 6 - 2a. What is the solution for a?

Back

a < -2.

Front

What is the range of the graph?

Back

-3 ≤ y < 1.

Front

Solve the inequality: 6x + 10 > 5x - 12. What is the solution for x?

Back

x > -22.

Front

What does it mean for an equation to have infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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

What is the difference between a solution and a root of an equation?

Back

A solution is a value that satisfies the equation, while a root is a specific type of solution where the equation equals zero.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.