BM2 Review Algebra 1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What is the solution to the inequality 9x - 6(x + 3) < 3(x - 4) - 3x?

Back

x < 2

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the factored form of a difference of squares?

Back

The factored form of a difference of squares, a² - b², is (a - b)(a + b).

Front

Which expression is equivalent to 169x² - 36?

Back

(13x - 6)(13x + 6)

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

How do you calculate the average rate of change from hour 1 to hour 4?

Back

Subtract the value of the function at hour 1 from the value at hour 4, then divide by the change in time (3 hours).

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If any vertical line intersects the curve at more than one point, it is not a function.