Algebra 2 Exam 2024

Front

What is the solution to the inequality: s - 10 ≤ 1?

Back

s ≤ 11

Front

Solve the equation: (2x - 3) / 4 = 9

Back

x = 19.5

Front

Solve the inequality: -4d - 9 ≤ 3

Back

d ≥ -3

Front

What is the simplified form of \( \sqrt{45} \)?

Back

3\sqrt{5}

Front

Solve using the quadratic formula: 9x² = 4 + 7x

Back

x = \frac{-7 \pm \sqrt{49 - 36}}{18} = \frac{-7 \pm \, 1}{18} = \frac{-6}{18}, \frac{-8}{18} = -\frac{1}{3}, -\frac{4}{9}

Front

What is the quadratic formula?

Back

The quadratic formula is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) for the equation ax² + bx + c = 0.

Front

What does it mean for a quadratic equation to have no real solutions?

Back

It means that the discriminant (b² - 4ac) is less than zero.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the definition of a function?

Back

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

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.