Math Assessment Review: Equations and Expressions

Vocabulary and conceptual flashcards derived from math problems involving scientific notation, exponent rules, literal equations, and linear inequalities.

Scientific Notation for $0.0078$

The representation of the satellite signal time $0.0078$ seconds written as $7.8 imes 10^{-3}$.

Standard Notation for $1.72 imes 10^7$

The representation of Asia's surface area, which is approximately $17,200,000$ square miles.

Power of a Power Rule ($(x^{-3})^2$)

A rule used to simplify the expression by multiplying exponents, resulting in $x^{-6}$, which is written without negative exponents as $\frac{1}{x^6}$.

Monomial Multiplication ($-2u^3 (-4u^6)$)

The process of multiplying coefficients and adding exponents of like bases to get $8u^9$.

Literal Equation (Solve for $r$)

To isolate the variable $r$ in the equation $K = 6r - s$, resulting in $r = \frac{K + s}{6}$.

Equation Translation

Converting the sentence 'Six less than the product of 7 and a number is equal to 3' into the algebraic equation $7x - 6 = 3$.

Linear Equation with No Solution

An equation like $2(v + 1) + 4v = 3(2v - 1) + 8$ where, after simplification, the variable terms cancel out and leave an untrue statement (such as $2 = 5$).

All Real Numbers are Solutions

A potential result for a linear equation where the simplification leads to an identity, meaning any value for the variable will satisfy the equation.

Compound Inequality ($0 < 2x + 6 < 12$)

An inequality that requires solving for $x$ across two boundaries, which is graphed on a number line to show the range of possible values.