FALL ACP 2024 REVIEW DAY 1

Front

Simplify (11 + 5i)(11 - 5i)

Back

146

Front

Write an absolute value equation for the average price of skis being $750 with a variation of $250.

Back

|x - 750|=250

Front

Write an absolute value equation for having an unknown amount of money around $50 with a variation of $15.

Back

|x - 50|=15

Front

Back

Front

Define absolute value.

Back

The distance of a number from zero on the number line, regardless of direction.

Front

What is the formula for the product of two complex conjugates?

Back

If z = a + bi, then (a + bi)(a - bi) = a^2 + b^2.

Front

What is the standard form of a complex number?

Back

a + bi, where a is the real part and b is the imaginary part.

Front

How do you solve a system of equations using matrices?

Back

Convert the system into matrix form Ax = B and use methods like Gaussian elimination.

Front

What does the equation |x - a| = b represent?

Back

It represents two possible equations: x - a = b and x - a = -b.

Front

What is the geometric interpretation of absolute value?

Back

It represents the distance from a point to zero on the number line.