Unit 1 Algebra 1 Review

Front

What is the formula to find the point where two temperatures are equal when one is decreasing and the other is increasing?

Back

Set the equations equal to each other and solve for time.

Front

How do you solve the inequality -(4x - 15) < 8x + 3?

Back

Add 4x to both sides, then isolate x to find x > 1.

Front

What is the simplified form of (5x + 20) ÷ 5?

Back

The simplified form is x + 4.

Front

What does the formula .5(x - 200) + 40 represent in terms of a phone bill?

Back

It represents a charge of $0.50 per text after 200 texts.

Front

How do you solve the inequality 4x + 14 < -2(4x - 1)?

Back

Distribute -2, combine like terms, and isolate x to find x < -1.

Front

What is the definition of an inequality?

Back

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

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality, while a linear inequality shows a range of possible values.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

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.