Math Midterm Prep

Front

Reflect the point (-1, 2) over the y-axis.

Back

The reflected point is (1, 2). When reflecting over the y-axis, the x-coordinate changes sign.

Front

Write 0.0000378 in scientific notation.

Back

3.78 x 10^-5. To convert to scientific notation, move the decimal point to the right until only one non-zero digit remains to the left.

Front

Simplify m^12 / m^3.

Back

m^(12-3) = m^9. When dividing like bases, subtract the exponents.

Front

Solve the equation -7(-4x + 9) = -315.

Back

x = -9. Distribute -7, then isolate x to find the solution.

Front

Convert 1/8 into a decimal.

Back

0.125. To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the definition of scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

What is the formula for reflecting a point (x, y) over the y-axis?

Back

The formula is (x, y) -> (-x, y). The x-coordinate changes sign.

Front

What is the rule for simplifying exponents when multiplying?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).

Front

What is the rule for simplifying exponents when dividing?

Back

When dividing like bases, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the decimal equivalent of 0.5?

Back

0.5 is equivalent to 1/2. To convert, divide the numerator by the denominator.