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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
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Evaluate
7g+33
View solution steps
Solution Steps
5 ( g + 5 ) + 2 ( g + 4 )
Use the distributive property to multiply 5 by g+5.
5g+25+2\left(g+4\right)
Use the distributive property to multiply 2 by g+4.
5g+25+2g+8
Combine 5g and 2g to get 7g.
7g+25+8
Add 25 and 8 to get 33.
7g+33
Expand
7g+33
View solution steps
Solution Steps
5 ( g + 5 ) + 2 ( g + 4 )
Use the distributive property to multiply 5 by g+5.
5g+25+2\left(g+4\right)
Use the distributive property to multiply 2 by g+4.
5g+25+2g+8
Combine 5g and 2g to get 7g.
7g+25+8
Add 25 and 8 to get 33.
7g+33
Quiz
Polynomial
5 problems similar to:
5 ( g + 5 ) + 2 ( g + 4 )
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There is an error: \rm\:w=7r\!+\!5\,\Rightarrow\,2w = 7(2r)\!+\!\color{#C00}{10} = 7(5k\!+\!1)\!+\!\color{#C00}{10} = 35k\!+\!\color{#C00}{17},\: not \rm\:35k\!+\!\color{#0A0}{12}. Since \rm\:35k\!+\!17 = 2w\: ...
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Basis(n=1): 5^3+50-5-2=168 = 4*42 Inductive step: assume that 5^{3n}+2*5^{2n}-5^n+1 = 4k, k\in \mathbb{Z}. Then, 5*(5^{3n})+10*{5^{2n}}-5*5^n + 1 = 5(5^{3n}+2*5^{2n}-5^n)+1 = 5(4k-1)+1=20k-4=4(5k-1).
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5g+25+2\left(g+4\right)
Use the distributive property to multiply 5 by g+5.
5g+25+2g+8
Use the distributive property to multiply 2 by g+4.
7g+25+8
Combine 5g and 2g to get 7g.
7g+33
Add 25 and 8 to get 33.
5g+25+2\left(g+4\right)
Use the distributive property to multiply 5 by g+5.
5g+25+2g+8
Use the distributive property to multiply 2 by g+4.
7g+25+8
Combine 5g and 2g to get 7g.
7g+33
Add 25 and 8 to get 33.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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