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values | data_topic
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values |
|---|---|---|---|---|---|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.61
|
Simplify: $-10-4(n-5)$
|
$10-4 n$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.9.7
|
Solve the following systems of equation:
$x y=90$
$(x-5)(y+1)=120$
|
$(45,2),(-10,-9)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.8.42
|
Evaluate the expression: $\frac{8 i}{6-7 i}$
|
$\frac{48 i-56}{85}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.8.9
|
Find three consecutive integers such that their sum is 108.
|
$35,36,37$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.5.31
|
Find a quadratic equation with the solutions $2 \pm \sqrt{6}$.
|
$x^{2}-4 x-2=0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.1.5
|
Specify the domain of the function: $f(x)=x^{2}-3 x-4$
|
all real numbers
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.6.21
|
Find the square: $(p+7)^{2}$
|
$p^{2}+14 p+49$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.1.36
|
Simplify: $\frac{k^{2}-12 k+32}{k^{2}-64}$
|
$\frac{k-8}{k+4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.47
|
Distribute: $-9 x(4-x)$
|
$-36 x+9 x^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.3.4
|
Write the number in scientific notation: 1.09
|
$1.09 \times 10^{0}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.6.15
|
Solve the proportion: $\frac{3}{10}=\frac{a}{a+2}$
|
$a=\frac{6}{7}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.3.2.31
|
Solve the compound inequality and give interval notation: $2 x+9 \geqslant 10 x+1$ and $3 x-2<7 x+2$
|
$-1<x \leqslant 1:(-1,1]$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.4.31
|
Simplify: $\frac{\sqrt{2 p^{2}}}{\sqrt{3 p}}$
|
$\frac{\sqrt{6 p}}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.4.28
|
Evaluate $\left(7+4 m+8 m^{4}\right)-\left(5 m^{4}+1+6 m\right)$.
|
$3 m^{4}-2 m+6$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.10.1
|
A merchant bought some pieces of silk for $\$ 900$. Had he bought 3 pieces more for the same money, he would have paid $\$ 15$ less for each piece. Find the number of pieces purchased.
|
12
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.4.19
|
Solve the equation: $9^{2 n+3}=243$
|
$-\frac{1}{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.2.5.11
|
Find the slope of a line perpendicular to the given line: $y=-\frac{1}{3} x$
|
3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.1.19
|
Evaluate the expression: $(-8)-(-5)$
|
-3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.4.11
|
Solve the equation: $\frac{3}{2}\left(\frac{7}{3} n+1\right)=\frac{3}{2}$
|
0
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.1.28
|
Evaluate the expression: $7-3$
|
4
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.2.4
|
Solve: $4 x^{3}-2=106$
|
3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.1.35
|
Solve the equation: $13 a=-143$
|
-11
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.2.77
|
Evaluate the expression: $\left(-\frac{15}{8}\right)+\frac{5}{3}$
|
$-\frac{5}{24}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.2.34
|
Simplify the expression: $\frac{n-7}{n^{2}-2 n-35} \div \frac{9 n+54}{10 n+50}$
|
$\frac{10}{9(n+6)}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.8.43
|
An electrician cuts a $30$ ft piece of wire into two pieces. One piece is $2$ ft longer than the other. Find the lengths of the two pieces.
|
14,16
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.3.29
|
Build up each fraction by finding the Least Common Denominator: $\frac{4 x}{x^{2}-x-6}, \frac{x+2}{x-3}$
|
$\frac{4 x}{(x-3)(x+2)}, \frac{x^{2}+4 x+4}{(x-3)(x+2)}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.17
|
Evaluate using the given values: $k \times 3^{2}-(j+k)-5$; $j=4, k=5$
|
36
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.1.37
|
Simplify: $-8 \sqrt{180 x^{4} y^{2} z^{4}}$
|
$-48 x^{2} z^{2} y \sqrt{5}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.18
|
Solve the following systems of equation:
$x+2 y-3 z=9$
$2 x-y+2 z=-8$
$3 x-y-4 z=3$
|
$(-1,2,-2)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.6.3
|
Find the product: $(1+3 p)(1-3 p)$
|
$1-9 p^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.4.13
|
Multiply and simplify: $(2+2 \sqrt{2})(-3+\sqrt{2})$
|
$-2-4 \sqrt{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.5.3
|
Solve the equation $\frac{f}{g} x=b$ for $\mathrm{x}$.
|
$x=\frac{\mathrm{gb}}{f}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.3.20
|
Simplify and write the answer in scientific notation: $\frac{7.2 \times 10^{-1}}{7.32 \times 10^{-1}}$
|
$9.836 \times 10^{-1}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.7.19
|
Divide: $\frac{10 x^{2}-32 x+9}{10 x-2}$
|
$x-3+\frac{3}{10 x-2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.6.12
|
Solve the absolute value equation: $|9 p+6|=3$
|
$-\frac{1}{3},-1$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.4.32
|
Add or subtract the rational expressions and simplify: $\frac{4 x}{x^{2}-2 x-3}-\frac{3}{x^{2}-5 x+6}$
|
$\frac{4 x+1}{(x+1)(x-2)}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.6.5
|
Find the principal that will amount to $\$ 2500$ if invested at $5 \%$ interest compounded semiannually for 7.5 years.
|
1726.16
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.3.2.18
|
Solve the compound inequality and give interval notation: $1 \leqslant \frac{p}{8} \leqslant 0$
|
No solution : $\oslash$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.6.25
|
Simplify and express with positive exponents: $\frac{3 y^{-\frac{5}{4}}}{y^{-1} \cdot 2 y^{-\frac{1}{3}}}$
|
$\frac{3 y^{\frac{1}{12}}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.6.25
|
Solve the proportion: $\frac{2}{p+4}=\frac{p+5}{3}$
|
$p=-7,-2$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.7.23
|
Solve the equation for $x$: $\frac{3}{x+2}+\frac{x-1}{x+5}=\frac{5 x+20}{6 x+24}$
|
4,7
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.27
|
Combine Like Terms: $-7 x-2 x$
|
$-9 x$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.3.6
|
State if the given functions are inverses:
$f(x)=\frac{x-5}{10}$
$h(x)=10 x+5$
|
Yes
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.5.24
|
Solve the equation $\mathrm{q}=6(L-p)$ for $\mathrm{L}$.
|
$L=\frac{q+6 p}{6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.7.6
|
Divide: $\frac{5 p^{4}+16 p^{3}+16 p^{2}}{4 p}$
|
$\frac{5 p^{3}}{4}+4 p^{2}+4 p$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.5.9
|
Find the product: $(8 b+3)(7 b-5)$
|
$56 b^{2}-19 b-15$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.4.26
|
Solve the following systems of equation:
$2 x+y=z$
$4 x+z=4 y$
$y=x+1$
|
$(1,2,4)$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.2.40
|
Solve the equation: $4+\frac{a}{3}=1$
|
-9
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.3.27
|
Solve: $n^{2}=-21+10 n$
|
7,3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.5.34
|
Solve the equation: $\log _{7}-3 n=4$
|
$-\frac{2401}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.27
|
Solve the following equation: $x^{8}-17 x^{4}+16=0$
|
$\pm 1, \pm i, \pm 2, \pm 2 i$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.10.17
|
The rate of a stream is 3 miles an hour. If a crew rows downstream for a distance of 8 miles and then back again, the round trip occupying 5 hours, what is the rate of the crew in still water?
|
$\mathrm{r}=5$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.2.15
|
Simplify. Your answer should contain only positive expontents: $\frac{u^{2}}{4 u^{0} v^{3} \cdot 3 v^{2}}$
|
$\frac{u^{2}}{12 v^{5}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.1.40
|
Simplify: $\frac{2 x^{4} y^{5} \cdot 2 z^{10} x^{2} y^{7}}{\left(x y^{2} z^{2}\right)^{4}}$
|
$4 x^{2} y^{4} z^{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.4.26
|
Solve the equation: $625^{2 x}=25$
|
$\frac{1}{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.2.22
|
Simplify the expression: $\frac{2 r}{r+6} \div \frac{2 r}{7 r+42}$
|
7
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.3.3
|
State if the given functions are inverses:
$f(x)=\frac{-x-1}{x-2}$
$g(x)=\frac{-2 x+1}{-x-1}$
|
Yes
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.6.26
|
Solve the proportion: $\frac{5}{n+1}=\frac{n-4}{10}$
|
$n=-6,9$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.6.22
|
Solve the absolute value equation: $3-|6 n+7|=-40$
|
$6,-\frac{25}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.4.12
|
Add or subtract the rational expressions and simplify: $\frac{2 a-1}{3 a^{2}}+\frac{5 a+1}{9 a}$
|
$\frac{5 a^{2}+7 a-3}{9 a^{2}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.9.11
|
The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of the glass plate. Find the present age of each plate.
|
10,6
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.2.2.14
|
Find the slope of the line through the points $(13,-2)$ and $(7,7)$.
|
$-\frac{3}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.7.11
|
Solve the equation for $x$: $\frac{4-x}{1-x}=\frac{12}{3-x}$
|
$-5,0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.71
|
Simplify: $5(1-6 k)+10(k-8)$
|
$-75-20 k$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.1.12
|
Simplify: $\left(3^{2}\right)^{3}$
|
$3^{6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.8.46
|
Evaluate the expression: $\sqrt{-12} \sqrt{-2}$
|
$-2 \sqrt{6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.4.24
|
Solve the equation: $-\frac{149}{16}-\frac{11}{3} r=-\frac{7}{4} r-\frac{5}{4}\left(-\frac{4}{3} r+1\right)$
|
$-\frac{9}{4}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.7.1
|
Reduce the following radical: $\sqrt[8]{16 x^{4} y^{6}}$
|
$\sqrt[4]{4 x^{2} y^{3}}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.7.3
|
Solve the equation for $x$: $x+\frac{20}{x-4}=\frac{5 x}{x-4}-2$
|
3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.7.15
|
A page is to have a margin of 1 inch and is to contain $35 \mathrm{in}^{2}$ of painting. How large must the page be if the length is to exceed the width by 2 inches?
|
$7 \times 9$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.4.39
|
Solve the equation: $5^{-3 n-3} \cdot 5^{2 n}=1$
|
-3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.5.33
|
Find a quadratic equation with the solutions $1 \pm 3 i$.
|
$x^{2}-2 x+10=0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.1.11
|
State the excluded values for $\frac{10 m^{2}+8 m}{10 m}$
|
0
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.31
|
Combine Like Terms: $x-10-6 x+1$
|
$-5 x-9$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.1.14
|
Solve the equation: $\frac{5}{9}=\frac{b}{9}$
|
5
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.4.7
|
Evaluate using the given values: $5 j+\frac{k h}{2}$; $h=5, j=4, k=2$
|
25
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.12
|
Simplify: $\frac{5}{2 \sqrt{3}-\sqrt{2}}$
|
$\frac{2 \sqrt{3}+\sqrt{2}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.3.12
|
Find the Least Common Denominator: $5 x^{2} y, 25 x^{3} y^{5} z$
|
$25 x^{3} y^{5} z$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.3.7
|
Solve: $0=-8(p-5)$
|
5
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.6.29
|
Solve the absolute value equation: $-7+8|-7 x-3|=73$
|
$-\frac{13}{7}, 1$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.10.3.30
|
Find the inverse of the function: $f(x)=\frac{5 x-5}{4}$
|
$f^{-1}(x)=\frac{5+4 x}{5}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.7.33
|
Divide: $\frac{3 n^{3}+9 n^{2}-64 n-68}{n+6}$
|
$3 n^{2}-9 n-10-\frac{8}{n+6}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.4.43
|
Add or subtract the rational expressions and simplify: $\frac{2 x+7}{x^{2}-2 x-3}-\frac{3 x-2}{x^{2}+6 x+5}$
|
$\frac{-(x-29)}{(x-3)(x+5)}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.6.26
|
Solve the following equation: $8 x^{6}+7 x^{3}-1=0$
|
$\frac{1}{2},-1, \frac{-1 \pm i \sqrt{3}}{4}, \frac{1 \pm i \sqrt{3}}{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.3.9
|
Simplify: $2 \sqrt{2}-3 \sqrt{18}-\sqrt{2}$
|
$-8 \sqrt{2}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.5.40
|
Find the product: $3(2 x+3)(6 x+9)$
|
$36 x^{2}+108 x+81$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.1.26
|
Solve the equation: $3 n=24$
|
8
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.8.12
|
Tim can finish a certain job in 10 hours. It takes his wife JoAnn only 8 hours to do the same job. If they work together, how long will it take them to complete the job?
|
$4 \frac{4}{9}$ days
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.5.25
|
Simplify: $\frac{a+\sqrt{\mathrm{ab}}}{\sqrt{a}+\sqrt{b}}$
|
$\sqrt{a}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.4.5.15
|
A coin purse contains 18 coins in nickels and dimes. The coins have a total value of $\$ 1.15$. Find the number of nickels and dimes in the coin purse.
|
$13 \mathrm{n}, 5 \mathrm{~d}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.7.5.36
|
Simplify: $\frac{x^{-3}+y^{-3}}{x^{-2}-x^{-1} y^{-1}+y^{-2}}$
|
$\frac{x+y}{x y}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.0.3.22
|
Solve: $\frac{-9 \cdot 2-(3-6)}{1-(-2+1)-(-3)}$
|
-3
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.1.3
|
Solve: $\sqrt{6 x-5}-x=0$
|
1,5
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.4.10
|
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.9.5.9
|
Find a quadratic equation with the solutions $-4$ and 11.
|
$x^{2}-7 x-44=0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.1.16
|
Simplify: $\sqrt{100 n^{3}}$
|
$10 n \sqrt{n}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.8.6.23
|
Simplify and express with positive exponents: $\frac{a^{\frac{3}{4}} b^{-1} \cdot b^{\frac{7}{4}}}{3 b^{-1}}$
|
$\frac{b^{\frac{7}{4}} a^{\frac{3}{4}}}{3}$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.9.5.8
|
Find a quadratic equation with the solutions $-2$ and $-5$.
|
$x^{2}+7 x+10=0$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.5.5.1
|
Find the product: $6(p-7)$
|
$6 p-42$
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
college_math.Beginning_and_Intermediate_Algebra
|
exercise.1.2.6
|
Solve the equation: $-4-b=8$
|
-12
|
Creative Commons Attribution 3.0 Unported License (CC BY 3.0)
|
college_math.algebra
|
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