FALL ACP 2024 REVIEW DAY 1

Front

What is the equation to find the minimum and maximum temperatures if the average January temperature is 1°F and it can vary by 5°F?

Back

Front

How do you write an equation to find the shortest and longest pieces of ribbon if each ribbon needs to be \(\frac{3}{4}\) yard long and can vary by \(\frac{1}{16}\) yard?

Back

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)?

Back

14 - 19i

Front

What is the result of simplifying (11 + 5i)(11 - 5i)?

Back

146

Front

What is the equation of a line with a slope of \(\frac{3}{5}\) that intersects the y-axis at -4?

Back

Front

What is the equation of a quadratic function that opens upwards and has its vertex at (-3, -7)?

Back

Front

Define absolute value in the context of equations.

Back

Absolute value represents the distance of a number from zero on the number line, regardless of direction.

Front

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

Back

It represents two equations: x - a = b and x - a = -b, which can be solved to find the values of x.

Front

What is the formula for the product of two conjugates (a + bi)(a - bi)?

Back

The product is a^2 + b^2.

Front

Explain how to simplify a complex number in the form a + bi.

Back

Combine like terms and separate the real part from the imaginary part.