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college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.50 | Find quotient: $\frac{30}{6}$ | 5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.12 | Solve the equation: $4 r=-28$ | -7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.39 | Simplify: $\frac{q^{3} r^{2} \cdot\left(2 p^{2} q^{2} r^{3}\right)^{2}}{2 p^{3}}$ | $2 q^{7} r^{8} p$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.9.5 | Solve the following systems of equation:
$x y=45$
$(x+2)(y+1)=70$ | $(5,9),(18,2.5)$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.3.15 | Simplify: $3 \sqrt{18}-\sqrt{2}-3 \sqrt{2}$ | $5 \sqrt{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.38 | The sum of the ages of two children is 16 years. Four years ago, the age of the older child was three times the age of the younger child. Find the present age of each child. | 10,6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.3 | Solve the absolute value equation: $|b|=1$ | $1,-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.32 | Divide: $\frac{x^{3}-16 x^{2}+71 x-56}{x-8}$ | $x^{2}-8 x+7$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.13 | Simplify. Your answer should contain only positive expontents: $\frac{u^{2} v^{-1}}{2 u^{0} v^{4} \cdot 2 u v}$ | $\frac{u}{4 v^{6}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.29 | Simplify: $\frac{2 x^{7} y^{5}}{3 x^{3} y \cdot 4 x^{2} y^{3}}$ | $\frac{x^{2} y}{6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.25 | Solve the following equation: $8 x^{6}-9 x^{3}+1=0$ | $1, \frac{1}{2}, \frac{-1 \pm i \sqrt{3}}{4}, \frac{-1 \pm i \sqrt{3}}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.1.29 | Simplify: $\sqrt{320 x^{4} y^{4}}$ | $8 x^{2} y^{2} \sqrt{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.7.25 | Combine the following radicals: $\sqrt{a} \sqrt[4]{a^{3}}$ | $a \sqrt[4]{a}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.39 | Divide: $\frac{r^{3}-r^{2}-16 r+8}{r-4}$ | $r^{2}+3 r-4-\frac{8}{r-4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.24 | Find the product: $(4 x+8)\left(4 x^{2}+3 x+5\right)$ | $16 x^{3}+44 x^{2}+44 x+40$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.9 | Solve the absolute value equation: $|9+7 x|=30$ | $3,-\frac{39}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.2.7 | Solve: $(x+2)^{5}=-243$ | -5 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.25 | Evaluate the expression: $(-6)+3$ | -3 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.9 | Multiply and simplify: $-5 \sqrt{15}(3 \sqrt{3}+2)$ | $-45 \sqrt{5}-10 \sqrt{15}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.15 | Given $f(n)=-2|-n-2|+1$, find $f(-6)$ | -7 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.1.33 | Simplify: $\left(\frac{2 y^{17}}{\left(2 x^{2} y^{4}\right)^{4}}\right)^{3}$ | $\frac{y^{3}}{512 x^{24}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.33 | Find product: $(10)(-8)$ | -80 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.5.14 | Find the product: $(6 a+4)(a-8)$ | $6 a^{2}-44 a-32$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.10 | Simplify and leave your answer as an improper fraction: $\frac{48}{18}$ | $\frac{8}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.3 | Simplify: $\frac{4+2 \sqrt{3}}{5 \sqrt{4}}$ | $\frac{2+\sqrt{3}}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.8.25 | Let the first angle of a triangle be $x$ degrees. Find the measures of the second and third angles. | $25,100,55$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.2.40 | Simplify. Your answer should contain only positive expontents: $\frac{2 m p n^{-3}}{\left(m^{0} n^{-4} p^{2}\right)^{3} \cdot 2 n^{2} p^{0}}$ | $\frac{m n^{7}}{p^{5}}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.3 | Solve the equation: $102=-7 r+4$ | -14 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.4 | How much alcohol must be added to 24 gallons of a $14 \%$ solution of alcohol in order to produce a $20 \%$ solution? | 1,8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.21 | Solve the absolute value equation: $8|x+7|-3=5$ | $-6,-8$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.7.28 | The time required to drive a fixed distance varies inversely as the speed. It takes $5 \mathrm{hr}$ at a speed of $80 \mathrm{~km} / \mathrm{h}$ to drive a fixed distance. How long will it take to drive the same distance at a speed of $70 \mathrm{~km} / \mathrm{h}$ ? | $5.7 \mathrm{hr}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.3.38 | Find the inverse of the function: $f(x)=-\frac{3 x}{4}$ | $f^{-1}(x)=-\frac{4 x}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.3.35 | Solve: $7 n^{2}-n+7=7 n+6 n^{2}$ | 7,1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.40 | Divide: $\frac{2 x^{3}+12 x^{2}+4 x-37}{2 x+6}$ | $x^{2}+3 x-7+\frac{5}{2 x+6}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.34 | Solve the equation: $32^{2 p-2} \cdot 8^{p}=\left(\frac{1}{2}\right)^{2 p}$ | $\frac{2}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.25 | Solve the equation: $180=12 x$ | 15 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.1 | Simplify: $\frac{4+2 \sqrt{3}}{\sqrt{9}}$ | $\frac{4+2 \sqrt{3}}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.10.32 | A family drove to a resort at an average speed of $25 \mathrm{mph}$ and later returned over the same road at an average speed of $40 \mathrm{mph}$. Find the distance to the resort if the total driving time was $13 \mathrm{~h}$. | 200 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.8.8 | A cistern can be filled by one pipe in 20 minutes and by another in 30 minutes. How long will it take both pipes together to fill the tank? | $12 \mathrm{~min}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.3 | Evaluate $\frac{x-3}{x^{2}-4 x+3}$ when $x=-4$ | $-\frac{1}{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.2.13 | Find the slope of the line through the points $(-15,10)$ and $(16,-7)$. | $-\frac{17}{31}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.18 | Solve: $\frac{\frac{15}{x^{2}}-\frac{2}{x}-1}{\frac{4}{x^{2}}-\frac{5}{x}+4}$ | $-\frac{(x-3)(x+5)}{4 x^{2}-5 x+4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.3.6 | Solve the following system of equations by elimination:
$5 x-5 y=-15$
$5 x-5 y=-15$ | Infinite number of solutions | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.37 | Solve: $-8(n-7)+3(3 n-3)=41$ | -6 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.16 | Solve: $4+3 x=-12 x+4$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.3.2.16 | Solve the compound inequality and give interval notation: $-11 \leqslant n-9 \leqslant-5$ | $-2 \leqslant n \leqslant 4:[-2,4]$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.19 | Simplify: $\frac{1}{1+\sqrt{2}}$ | $\sqrt{2}-1$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.60 | Simplify: $-10(x-2)-3$ | $-10 x+17$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.1.27 | Solve the equation: $20 b=-200$ | -10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.9 | Solve: $-2+2(8 x-7)=-16$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.24 | Solve: $-7(1+b)=-5-5 b$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.2.38 | Solve the equation: $3 x-3=-3$ | 0 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.32 | Find product: $\left(-\frac{17}{9}\right)\left(-\frac{3}{5}\right)$ | $-\frac{19}{20}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.28 | Find the square: $(4 m-n)^{2}$ | $16 m^{2}-8 m n+n^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.2.11 | Simplify: $-\sqrt[4]{112}$ | $-2 \sqrt[4]{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.11 | Multiply and simplify: $5 \sqrt{10}(5 n+\sqrt{2})$ | $25 n \sqrt{10}+10 \sqrt{5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.7.4 | The length of a room is $8 \mathrm{ft}$ greater than its width. If each dimension is increased by $2 \mathrm{ft}$, the area will be increased by $60 \mathrm{sq}$. ft. Find the dimensions of the room. | $10 \mathrm{ft} x 18 \mathrm{ft}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.7.4 | Solve the equation for $x$: $\frac{x^{2}+6}{x-1}+\frac{x-2}{x-1}=2 x$ | $-1,4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.4.79 | Simplify: $\left(4-2 k^{2}\right)+\left(8-2 k^{2}\right)$ | $-4 k^{2}+12$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.20 | Simplify: $\frac{21 k}{24 k^{2}}$ | $\frac{7}{8 k}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.4.37 | Evaluate $\left(2 n^{2}+7 n^{4}-2\right)+\left(2+2 n^{3}+4 n^{2}+2 n^{4}\right)$. | $9 n^{4}+2 n^{3}+6 n^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.18 | Simplify the expression: $\frac{p-8}{p^{2}-12 p+32} \div \frac{1}{p-10}$ | $\frac{p-10}{p-4}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.38 | Find a quadratic equation with the solutions $\frac{2 \pm 5 i}{3}$. | $9 x^{2}-12 x+29=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.40 | Solve the equation: $4^{3 r} \cdot 4^{-3 r}=\frac{1}{64}$ | No solution | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.33 | Solve the equation: $\log _{11}(x+5)=-1$ | $-\frac{54}{11}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.1.29 | Given $k(n)=|n-1|$, find $k(3)$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.1.18 | Evaluate the expression: $5-7$ | -2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.6.31 | Solve the absolute value equation: $|5 x+3|=|2 x-1|$ | $-\frac{4}{3},-\frac{2}{7}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.4.16 | Solve the equation: $4^{-3 v}=64$ | -1 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.3.42 | Solve: $-4(1+a)=2 a-8(5+3 a)$ | -2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.4.6.11 | How many kilograms of hard candy that cost $\$ 7.50$ per kilogram must be mixed with $24 \mathrm{~kg}$ of jelly beans that cost $\$ 3.25$ per kilogram to make a mixture that sells for $\$ 4.50$ per kilogram? | 10 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.7.27 | Divide: $\frac{4 x^{2}-33 x+28}{4 x-5}$ | $x-7-\frac{7}{4 x-5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.4.7 | Solve the equation: $\frac{635}{72}=-\frac{5}{2}\left(-\frac{11}{4}+x\right)$ | $-\frac{7}{9}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.6.11 | A $\$ 10,000$ Treasury Bill earned $16 \%$ compounded monthly. If the bill matured in 2 years, what was it worth at maturity? | 13742.19 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.5 | Multiply and simplify: $\sqrt[3]{4 x^{3}} \cdot \sqrt[3]{2 x^{4}}$ | $2 x^{2} \sqrt[3]{x}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.2.12 | Simplify the expression: $\frac{9}{b^{2}-b-12} \div \frac{b-5}{b^{2}-b-12}$ | $\frac{9}{b-5}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.24 | You are buying carpet to cover a room that measures $38 \mathrm{ft}$ by $40 \mathrm{ft}$. The carpet cost $\$ 18$ per square yard. How much will the carpet cost? | $\$ 3040$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.10.2 | A number of men subscribed a certain amount to make up a deficit of $\$ 100$ but 5 men failed to pay and thus increased the share of the others by $\$ 1$ each. Find the amount that each man paid. | $\$ 4$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.5.45 | Solve the equation $3 \mathrm{x}+2 \mathrm{y}=7$ for $\mathrm{y}$. | $y=\frac{7-3 x}{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.1.13 | State the excluded values for $\frac{r^{2}+3 r+2}{5 r+10}$ | -2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.6.37 | Solve the following equation: $3(y+1)^{2}-14(y+1)=5$ | $4,-\frac{4}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.6 | Solve: $7-5+6$ | 8 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.10.5.17 | Evaluate the expression: $\log _{4} 16$ | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.5.6.36 | Find the product: $(b+4)(b-4)$ | $b^{2}-16$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.5.13 | Simplify: $\frac{3}{4-3 \sqrt{3}}$ | $\frac{-12-9 \sqrt{3}}{11}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.78 | Evaluate the expression: $\frac{3}{2}+\frac{9}{7}$ | $\frac{39}{14}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.12 | Solve: $\frac{-10-6}{(-2)^{2}}-5$ | -9 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.15 | Solve: $\frac{\frac{a^{2}-b^{2}}{4 a^{2} b}}{\frac{a+b}{16 \mathrm{ab}^{2}}}$ | $\frac{4 b(a-b)}{a}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.1.16 | Solve: $\sqrt{2-3 x}-\sqrt{3 x+7}=3$ | $-\frac{7}{3}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.7.6 | The length of a rectangle is $15 \mathrm{ft}$ greater than its width. If each dimension is decreased by $2 \mathrm{ft}$, the area will be decreased by $106 \mathrm{ft}^{2}$. Find the dimensions. | $20 \mathrm{ft} x 35 \mathrm{ft}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.9.17 | The age of the older of two boys is twice that of the younger; 5 years ago it was three times that of the younger. Find the age of each. | 10,20 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.4.4 | Multiply and simplify: $\sqrt{5 r^{3}} \cdot-5 \sqrt{10 r^{2}}$ | $-25 r^{2} \sqrt{2 r}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.3.23 | Solve: $\frac{2^{3}+4}{-18-6+(-4)-[-5(-1)(-5)]}$ | -4 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.0.2.48 | Find quotient: $\frac{-13}{8} \div \frac{-15}{8}$ | $\frac{13}{15}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.8.27 | A local zoning ordinance says that a house's "footprint" (area of its ground floor) cannot occupy more than $\frac{1}{4}$ of the lot it is built on. Suppose you own a $\frac{1}{3}$ acre lot, what is the maximum allowed footprint for your house in square feet? in square inches? $\left(1\right.$ acre $\left.=43560 \mathrm{ft}^{2}\right)$ | $3630 \mathrm{ft}^{2}, 522,720 \mathrm{in}^{2}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.7.5.5 | Solve: $\frac{\frac{1}{a^{2}}-\frac{1}{a}}{\frac{1}{a^{2}}+\frac{1}{a}}$ | $-\frac{a-1}{a+1}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.9.5.21 | Find a quadratic equation with the solutions $\pm 5$. | $x^{2}-25=0$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.1.7.30 | At a constant temperature, the volume of a gas varies inversely as the pres- sure. If the pressure of a certain gas is 40 newtons per square meter when the volume is 600 cubic meters what will the pressure be when the volume is reduced by 240 cubic meters? | $100 \mathrm{~N}$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.2.2.39 | Given the points $(x, 5)$ and $(8,0)$ and a slope of $-\frac{5}{6}$, find the value of $x$. | 2 | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |
college_math.Beginning_and_Intermediate_Algebra | exercise.8.8.21 | Find product: $(-4+5 i)(2-7 i)$ | $27+38 i$ | Creative Commons Attribution 3.0 Unported License (CC BY 3.0) | college_math.algebra |