Algebra 1 Midterm Review

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (between 1 and 10) and a power of 10.

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

Front

What is the solution to the equation 8|-2x + 4| = 96?

Back

The solutions are x = -4 and x = 8.

Front

How do you solve for x in the equation 2\sqrt{x+3} - 5 = 3?

Back

First, isolate the square root: 2\sqrt{x+3} = 8. Then, divide by 2: \sqrt{x+3} = 4. Square both sides: x + 3 = 16. Finally, solve for x: x = 13.

Front

What is the formula for solving a linear equation for x?

Back

The general form is x = by + v, where b is the coefficient of y and v is a constant.

Front

How do you add numbers in scientific notation?

Back

To add numbers in scientific notation, they must have the same exponent. If they do not, convert one or both numbers to have the same exponent before adding the coefficients.

Front

What is the value of 9.4 x 10^6 multiplied by 3.2 x 10^5?

Back

The value is 3.008 x 10^12.

Front

What does the absolute value symbol |x| represent?

Back

The absolute value |x| represents the distance of x from 0 on the number line, regardless of direction. It is always non-negative.

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means the decimal moves to the right, while a negative exponent means it moves to the left.