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Math
Algebra
Topic 10 Expressions and Equations
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Terms in this set (8)
Order of Operations
Tells the rule for which calculations to do before others. First, do the work inside the parentheses and brackets. Then do multiplication and division in order from left to right. Finally, do addition and subtraction in order from left to right.
brackets
[ ] A square set of symbols used as the second set of grouping symbols in expressions and equations.
parentheses
Curved mathematical symbols used as the first set of grouping symbols in equations and expressions.
numerical expression
A mathematical phrase that contains numbers and at least one operation. 5 + 3 for example.
algebraic expression
A mathematical phrase containing numbers, an operation(s), and a variable(s). 3x + 2y for example.
equation
A mathematical sentence that uses an equal sign to show two expressions have the same value.
unknown
A letter, such as x, that represents a number in an expression or equation.
variable
A letter, such as x, that represents a number in an expression or equation.
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Verified questions
algebra
*Graph the fun ction by using the slope and $y$-intercept* \ $$ f(x)=-x-1 $$
calculus
Find x rounded to three decimal places. $\log _{4}(2 x+4)-3=\log _{4} 3$
algebra
Simplify each radical expression. $\sqrt{\frac{3}{15}}$
differential equations
Assume that the force $R$ of the air resistance is proportional to the first power of the velocity, i,e., $R=kv$, and that the falling or rising body is near the earth's surface. A body of mass $m$ is dropped from a great height. (a) Find its velocity and the distance it falls as functions of time. Take the positive direction as downward and the origin at the point where the body is dropped. Hint. In (a) of Example $16.24$ replace $m / 40$ by $k$. Use your results to check the accuracy of the answers given in (f). (b) What is its terminal velocity?
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