Natural Numbers

Problem 1001

Find the value of $n$ that satisfies the equation $4(0.5n-3)=n-0.25(12-8n)$ .

See Solution

Problem 1002

Calculate the number of possible license plate combinations with 2 letters and 5 digits.
$2^{26} \times 10^{5}$ possible license plates can be issued.

See Solution

Problem 1003

Evaluate the natural logarithm of 1 without using a calculator: $\ln 1 = \square$

See Solution

Problem 1004

Solve for $d$ in the equation $(4d+5)(d+9)=0$ . Write the solutions as integers or simplified fractions.

See Solution

Problem 1005

Simplify the expression $8 \frac{12}{8}$ .

See Solution

Problem 1006

Solve the equation $6 b^{2}-6 b=3 b^{2}$ . Options: (a) $b=0, b=-2$ , (b) $b=0, b=\frac{2}{3}$ , (c) $b=0, b=-\frac{2}{3}$ , (d) $b=0, b=2$ .

See Solution

Problem 1007

Find the solution set for $4 < 2 \sin(x) + 3$ where $0 \leq x \leq 2\pi$ .

See Solution

Problem 1008

Find the value of the variable in the equation $2x + 1 = 3x - 5$ .

See Solution

Problem 1009

Find the possible p-value if the null hypothesis is rejected at $\alpha=0.05$ .

See Solution

Problem 1010

Find the range of values for $m$ such that the quadratic equation $f(x) = x^2 + mx + 4$ has two distinct real roots.

See Solution

Problem 1011

Solve the linear equation and enter the value of $x$ . $66 x - 224 = 33 x$ $x =$

See Solution

Problem 1012

Solve the equation $4x + x + 1 = 7(x - 3)$ . Enter your answer as an equation showing the value of the variable.

See Solution

Problem 1013

Find the value of $x$ that satisfies the equation $7x + 4 = 39$ .

See Solution

Problem 1014

Solve for x in the linear equation $25-3x=88$ .

See Solution

Problem 1015

Solve the system of linear equations $3x + y = 13$ and $3y + 2x = 18$ for $x$ and $y$ .

See Solution

Problem 1016

Which quadratic expression is in standard form? a. $(x+3)x$ , b. $(x+4)^2$ , c. $-x^2-5x+7$ , d. $x^2+2(x+3)$

See Solution

Problem 1017

Bag of 33 tulip bulbs: 14 red, 11 yellow, 8 purple. Select 2 bulbs randomly without replacement. Find probabilities: (a) both red, (b) first red, second yellow, (c) first yellow, second red, (d) one red, one yellow.
(a) Probability both bulbs are red: $\frac{14}{33}\cdot\frac{13}{32}$ (b) Probability first bulb is red, second is yellow: $\frac{14}{33}\cdot\frac{11}{32}$ (c) Probability first bulb is yellow, second is red: $\frac{11}{33}\cdot\frac{14}{32}$ (d) Probability one bulb is red, one is yellow: $\left(\frac{14}{33}\cdot\frac{11}{32}\right)+\left(\frac{11}{33}\cdot\frac{14}{32}\right)$

See Solution

Problem 1018

Calculate $31 - 8$ .

See Solution

Problem 1019

Calculate $-2^{5} \div 4$ .

See Solution

Problem 1020

Calculate $(4+27)-32$ .

See Solution

Problem 1021

Solve for $x$ in the equation: $3(x+3)-5=16$ .

See Solution

Problem 1022

Find the $z$ -score for $x=7$ given a random variable $X$ with mean 4 and standard deviation 2.

See Solution

Problem 1023

Find when balls A and B, rotating at different speeds, meet at the starting point again. A: 2 rotations in 26 min, B: 5 in 35 min.

See Solution

Problem 1024

Find when balls A and B, rotating at different speeds, meet at the starting point again. A: 2 rotations in 26 min, B: 5 in 35 min.

See Solution

Problem 1025

Evaluate $\frac{n p}{n+p}$ for $n=9$ and $p=15$ .

See Solution

Problem 1026

Multiply and simplify $(2x - 5)(3x - 3)$

See Solution

Problem 1027

Calculate $8 \div 2(2+2)$ .

See Solution

Problem 1028

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

See Solution

Problem 1029

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 1030

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 1031

Evaluate the integral $\int \frac{9 x+2}{x^{2}+x-6} d x$ .

See Solution

Problem 1032

Решите у в уравнении: $4y + 3 = 6y - 7$ .

See Solution

Problem 1033

Calculate the integral $\int_{2}^{3} 3 x^{2} d t$ .

See Solution

Problem 1034

Evaluate the integral $\int_{-2}^{2} \frac{1+x^{2}}{1+2^{x}} d x$ .

See Solution

Problem 1035

Find $x$ in the equation $\frac{2}{3}=\frac{5}{x}$ . Options: A $\frac{2}{15}$ , B 6, C $\frac{15}{2}$ , D 8.

See Solution

Problem 1036

A boat travels 222 km on 74 liters. How much gas is needed for 39 km?

See Solution

Problem 1037

Calculate the integral $\int \tan^{3} x \sec x \, dx$ .

See Solution

Problem 1038

What is the result of $9-3 \div \frac{1}{3}+1$ ?

See Solution

Problem 1039

A boat travels 129 km on 43 liters. How far can it go on 57 liters?

See Solution

Problem 1040

Find $y$ if $\log _{y} \frac{1}{9}=3$ .

See Solution

Problem 1041

Solve for $y$ in the equation $y^{2}+7 y-60=0$ .

See Solution

Problem 1042

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את ערך $x$ . תשובה: $x =$

See Solution

Problem 1043

Find the $z$ -score for $x=7$ given that the mean is 4 and the standard deviation is 2.

See Solution

Problem 1044

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את $x =$

See Solution

Problem 1045

Find the line equation through the origin with the same slope as the line between points $A(1,5)$ and $B(2,-3)$ .

See Solution

Problem 1046

Evaluate $-3 \Delta -1$ for the operation $a \Delta b = \frac{a+b}{\sqrt{ab}}$ where $a, b \neq 0$ .

See Solution

Problem 1047

The probability of an athlete not winning 3 races is $\frac{1}{4}$ . Find the probability of winning: (i) only the 2nd race, (ii) all 3 races, (iii) exactly 2 races.

See Solution

Problem 1048

Two discs with masses $m$ and $4m$ and radii $a$ and $2a$ roll without slipping. True statements? (A) Angular speed of center of mass is $\omega / 5$ (B) Angular momentum about $O$ is $81 m a^{2} \omega$ (C) Angular momentum about center of mass is $17 ma^{2} \omega / 2$ (D) $z$ -component of $\vec{L}$ is $55 m a^{2} \omega$

See Solution

Problem 1049

Expand the expression $(x-5)(x+2)$ .

See Solution

Problem 1050

Calculate $31 - 8$ .

See Solution

Problem 1051

A boat travels 222 km on 74 liters. How much gas for 39 km? Use the ratio: $\frac{74}{222} = \frac{x}{39}$ .

See Solution

Problem 1052

Calculate $\frac{32}{4}$ .

See Solution

Problem 1053

Calculate $2^{5} \div 4$ .

See Solution

Problem 1054

Calculate $(4+27)-\frac{32}{4}$ .

See Solution

Problem 1055

A car travels 234 km on 39 liters. How many liters are needed for 414 km?

See Solution

Problem 1056

Calculate $-2^{5} \div 4$ .

See Solution

Problem 1057

Calculate $-32 \div 4$ .

See Solution

Problem 1058

Find the integral of $-\frac{1}{5} \sin u \, du$ .

See Solution

Problem 1059

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

See Solution

Problem 1060

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

See Solution

Problem 1061

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

See Solution

Problem 1062

Calculate $31 - \frac{32}{4}$

See Solution

Problem 1063

Solve the system of equations: $6x - 7y = -8$ and $-x - 4y = -9$ .

See Solution

Problem 1064

Solve the equation $\frac{7x - 8}{5} = \frac{2x + 5}{4}$ .

See Solution

Problem 1065

Solve the equation: $\frac{5(x+11)}{3}=\frac{3(1+x)}{2}$ for $x$ .

See Solution

Problem 1066

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 1067

Find when balls A and B, with rotation times of 26/2 and 35/5 minutes, meet at the starting point again.

See Solution

Problem 1068

Find $k$ for the planes $x-2y+4z=10$ and $18x+17y+kz=50$ to be perpendicular. Options: (a) -4 (b) 4 (c) 2 (d) -2

See Solution

Problem 1069

Solve the system of equations: $10x - 14y = -4$ and $-10x - 20y = -30$ .

See Solution

Problem 1070

Find the time when balls A and B return to the starting point, given A rotates 2 times in 26 min and B 5 times in 35 min.

See Solution

Problem 1071

In the 2017 Wyoming senate of 30 members, find the inequality for Democrats $d$ and Republicans $r$ for a bill to pass:
A) $d+r>15$
B) $d+r<15$
C) $d+r \geq 15$
D) $d+r \leq 15$

See Solution

Problem 1072

Multiply and simplify $(2x - 5)(3x - 3)$ .

See Solution

Problem 1073

Multiply and simplify: $(2x - 5)(3x - 3)$

See Solution

Problem 1074

Calculate $\frac{6}{2}(1+2)$ .

See Solution

Problem 1075

In the 2017 Wyoming state senate of 30 members, what inequality shows $d + r > 15$ for a bill to pass? A) $d+r>15$ B) $d+r<15$ C) $d+r \geq 15$ D) $d+r \leq 15$

See Solution

Problem 1076

Find $y$ if $\log_{y} \frac{1}{9} = 3$ .

See Solution

Problem 1077

Find the $z$ -score for $x = 7$ given that the mean $\mu = 4$ and standard deviation $\sigma = 2$ .

See Solution

Problem 1078

Expand $(x-5)(x+2)$ using the FOIL method.

See Solution

Problem 1079

Multiply and simplify: $(2x - 5)(3x - 3)$ .

See Solution

Problem 1080

Calculate $1^{4} \times 2^{2} + 3^{3}$ .

See Solution

Problem 1081

Find the $z$ -score for $x = 7$ given $\mu = 4$ and $\sigma = 2$ using $z = \frac{x - \mu}{\sigma}$ .

See Solution

Problem 1082

Given a circle with center $O$ and diameter $MN$ , prove:
(i) $\angle MAN = 90^{\circ} + \angle PQR$ ,
(ii) $\angle QPR + 2 \times \angle MAN = 360^{\circ}$ .

See Solution

Problem 1083

Calculate $(1 \times 4) + 27$ .

See Solution

Problem 1084

Calculate $1 \times 4 - 7$ .

See Solution

Problem 1085

Calculate $1 \times 4 + 27$ .

See Solution

Problem 1086

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4)$ .

See Solution

Problem 1087

Convert the parabola equation $(x+6)^{2}=12(y-1)$ to standard form.

See Solution

Problem 1088

Multiply and simplify $(2x - 5)(3x - 3)$ .

See Solution

Problem 1089

Multiply and simplify $(2x-5)(3x-3)$ .

See Solution

Problem 1090

Rewrite $y=2 x^{2}-4 x+7$ in focus-directrix form.

See Solution

Problem 1091

Find $m \angle 12$ if $m \angle 3=2x+14$ and $m \angle 16=4x-16$ , with angles 3 and 12 as alternate exterior angles.

See Solution

Problem 1092

Find $m \angle 16$ if $m \angle 1=5x+8$ and $m \angle 16=7x-20$ .

See Solution

Problem 1093

Multiply and simplify: $(2x-5)(3x-3)$ .

See Solution

Problem 1094

Find $m \angle 13$ given $m \angle 7 = 4x + 6$ and $m \angle 15 = 13x - 6$ for parallel lines.

See Solution

Problem 1095

Find $m \angle 14$ given $m \angle 1 = 67^{\circ}$ and $m \angle 18 = 42^{\circ}$ with parallel lines $l$ and $m$ . Options: $113^{\circ}$ , $96^{\circ}$ , $105^{\circ}$ , $109^{\circ}$ .

See Solution

Problem 1096

Convert the parabola equation $y=-\frac{1}{8}(x-4)^{2}+7$ to standard form.

See Solution

Problem 1097

Find the focus of the parabola $x = y^{2} + 4y + 10$ . Choose from: $(-6.25,2)$ , $(-2,6.25)$ , $(6.25,-2)$ , $(2,6.25)$ .

See Solution

Problem 1098

Prove that two lines are parallel if and only if alternate exterior angles are congruent: $\angle 1 \cong \angle 8$ .

See Solution

Problem 1099

Convert $y=-\frac{1}{8}(x-4)^{2}+7$ to standard form and choose the correct option from 1-4.

See Solution

Problem 1100

Convert $y=x^{2}-4 x-8$ to vertex form. Which is correct? 1) $(x+2)^{2}=y-12$ 2) $(x+2)^{2}=y+12$ 3) $(x-2)^{2}=y-12$ 4) $(x-2)^{2}=y+12$

See Solution

1 ...8 9 10 11 12 13 14 ...28

Natural Numbers

Problem 1001

Find the value of nnn that satisfies the equation 4(0.5n−3)=n−0.25(12−8n)4(0.5n-3)=n-0.25(12-8n)4(0.5n−3)=n−0.25(12−8n).

Problem 1002

Calculate the number of possible license plate combinations with 2 letters and 5 digits.226×1052^{26} \times 10^{5}226×105 possible license plates can be issued.

Problem 1003

Evaluate the natural logarithm of 1 without using a calculator: ln⁡1=□\ln 1 = \squareln1=□

Problem 1004

Solve for ddd in the equation (4d+5)(d+9)=0(4d+5)(d+9)=0(4d+5)(d+9)=0. Write the solutions as integers or simplified fractions.

Problem 1005

Simplify the expression 81288 \frac{12}{8}8812​.

Problem 1006

Solve the equation 6b2−6b=3b26 b^{2}-6 b=3 b^{2}6b2−6b=3b2. Options: (a) b=0,b=−2b=0, b=-2b=0,b=−2, (b) b=0,b=23b=0, b=\frac{2}{3}b=0,b=32​, (c) b=0,b=−23b=0, b=-\frac{2}{3}b=0,b=−32​, (d) b=0,b=2b=0, b=2b=0,b=2.

Problem 1007

Find the solution set for 4<2sin⁡(x)+34 < 2 \sin(x) + 34<2sin(x)+3 where 0≤x≤2π0 \leq x \leq 2\pi0≤x≤2π.

Problem 1008

Find the value of the variable in the equation 2x+1=3x−52x + 1 = 3x - 52x+1=3x−5.

Problem 1009

Find the possible p-value if the null hypothesis is rejected at α=0.05\alpha=0.05α=0.05.

Problem 1010

Find the range of values for mmm such that the quadratic equation f(x)=x2+mx+4f(x) = x^2 + mx + 4f(x)=x2+mx+4 has two distinct real roots.

Problem 1011

Solve the linear equation and enter the value of xxx. 66x−224=33x66 x - 224 = 33 x66x−224=33x x=x = x=

Problem 1012

Solve the equation 4x+x+1=7(x−3)4x + x + 1 = 7(x - 3)4x+x+1=7(x−3). Enter your answer as an equation showing the value of the variable.

Problem 1013

Find the value of xxx that satisfies the equation 7x+4=397x + 4 = 397x+4=39.

Problem 1014

Solve for x in the linear equation 25−3x=8825-3x=8825−3x=88.

Problem 1015

Solve the system of linear equations 3x+y=133x + y = 133x+y=13 and 3y+2x=183y + 2x = 183y+2x=18 for xxx and yyy.

Problem 1016

Which quadratic expression is in standard form? a. (x+3)x(x+3)x(x+3)x, b. (x+4)2(x+4)^2(x+4)2, c. −x2−5x+7-x^2-5x+7−x2−5x+7, d. x2+2(x+3)x^2+2(x+3)x2+2(x+3)

Problem 1017

Problem 1018

Calculate 31−8 31 - 8 31−8.

Problem 1019

Calculate −25÷4 -2^{5} \div 4 −25÷4.

Problem 1020

Calculate (4+27)−32 (4+27)-32 (4+27)−32.

Problem 1021

Solve for x x x in the equation: 3(x+3)−5=16 3(x+3)-5=16 3(x+3)−5=16.

Problem 1022

Find the z z z-score for x=7 x=7 x=7 given a random variable X X X with mean 4 and standard deviation 2.

Problem 1023

Find when balls A and B, rotating at different speeds, meet at the starting point again. A: 2 rotations in 26 min, B: 5 in 35 min.

Problem 1024

Find when balls A and B, rotating at different speeds, meet at the starting point again. A: 2 rotations in 26 min, B: 5 in 35 min.

Problem 1025

Evaluate npn+p \frac{n p}{n+p} n+pnp​ for n=9 n=9 n=9 and p=15 p=15 p=15.

Problem 1026

Multiply and simplify (2x−5)(3x−3) (2x - 5)(3x - 3) (2x−5)(3x−3)

Problem 1027

Calculate 8÷2(2+2) 8 \div 2(2+2) 8÷2(2+2).

Problem 1028

Calculate 167+89−(−4)13−(−2)2527⋅(−4)4⋅45+(−16)6 \frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}} 27⋅(−4)4⋅45+(−16)6167+89−(−4)13−(−2)25​.

Problem 1029

Solve 3x−5=16 3x - 5 = 16 3x−5=16 for x x x and express your answer in set notation.

Problem 1030

Solve 3x−5=16 3x - 5 = 16 3x−5=16 for x x x and express your answer in set notation.

Problem 1031

Evaluate the integral ∫9x+2x2+x−6dx \int \frac{9 x+2}{x^{2}+x-6} d x ∫x2+x−69x+2​dx.

Problem 1032

Решите у в уравнении: 4y+3=6y−74y + 3 = 6y - 74y+3=6y−7.

Problem 1033

Calculate the integral ∫233x2dt \int_{2}^{3} 3 x^{2} d t ∫23​3x2dt.

Problem 1034

Evaluate the integral ∫−221+x21+2xdx \int_{-2}^{2} \frac{1+x^{2}}{1+2^{x}} d x ∫−22​1+2x1+x2​dx.

Problem 1035

Find x x x in the equation 23=5x \frac{2}{3}=\frac{5}{x} 32​=x5​. Options: A 215 \frac{2}{15} 152​, B 6, C 152 \frac{15}{2} 215​, D 8.

Problem 1036

A boat travels 222 km on 74 liters. How much gas is needed for 39 km?

Problem 1037

Calculate the integral ∫tan⁡3xsec⁡x dx \int \tan^{3} x \sec x \, dx ∫tan3xsecxdx.

Problem 1038

What is the result of 9−3÷13+1 9-3 \div \frac{1}{3}+1 9−3÷31​+1?

Problem 1039

A boat travels 129 km on 43 liters. How far can it go on 57 liters?

Problem 1040

Find y y y if log⁡y19=3 \log _{y} \frac{1}{9}=3 logy​91​=3.

Find the value of $n$ that satisfies the equation $4(0.5n-3)=n-0.25(12-8n)$ .

Calculate the number of possible license plate combinations with 2 letters and 5 digits.
$2^{26} \times 10^{5}$ possible license plates can be issued.

Evaluate the natural logarithm of 1 without using a calculator: $\ln 1 = \square$

Solve for $d$ in the equation $(4d+5)(d+9)=0$ . Write the solutions as integers or simplified fractions.

Simplify the expression $8 \frac{12}{8}$ .

Solve the equation $6 b^{2}-6 b=3 b^{2}$ . Options: (a) $b=0, b=-2$ , (b) $b=0, b=\frac{2}{3}$ , (c) $b=0, b=-\frac{2}{3}$ , (d) $b=0, b=2$ .

Find the solution set for $4 < 2 \sin(x) + 3$ where $0 \leq x \leq 2\pi$ .

Find the value of the variable in the equation $2x + 1 = 3x - 5$ .

Find the possible p-value if the null hypothesis is rejected at $\alpha=0.05$ .

Find the range of values for $m$ such that the quadratic equation $f(x) = x^2 + mx + 4$ has two distinct real roots.

Solve the linear equation and enter the value of $x$ . $66 x - 224 = 33 x$ $x =$

Solve the equation $4x + x + 1 = 7(x - 3)$ . Enter your answer as an equation showing the value of the variable.

Find the value of $x$ that satisfies the equation $7x + 4 = 39$ .

Solve for x in the linear equation $25-3x=88$ .

Solve the system of linear equations $3x + y = 13$ and $3y + 2x = 18$ for $x$ and $y$ .

Which quadratic expression is in standard form? a. $(x+3)x$ , b. $(x+4)^2$ , c. $-x^2-5x+7$ , d. $x^2+2(x+3)$

Calculate $31 - 8$ .

Calculate $-2^{5} \div 4$ .

Calculate $(4+27)-32$ .

Solve for $x$ in the equation: $3(x+3)-5=16$ .

Find the $z$ -score for $x=7$ given a random variable $X$ with mean 4 and standard deviation 2.

Evaluate $\frac{n p}{n+p}$ for $n=9$ and $p=15$ .

Multiply and simplify $(2x - 5)(3x - 3)$

Calculate $8 \div 2(2+2)$ .

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Evaluate the integral $\int \frac{9 x+2}{x^{2}+x-6} d x$ .

Решите у в уравнении: $4y + 3 = 6y - 7$ .

Calculate the integral $\int_{2}^{3} 3 x^{2} d t$ .

Evaluate the integral $\int_{-2}^{2} \frac{1+x^{2}}{1+2^{x}} d x$ .

Find $x$ in the equation $\frac{2}{3}=\frac{5}{x}$ . Options: A $\frac{2}{15}$ , B 6, C $\frac{15}{2}$ , D 8.

Calculate the integral $\int \tan^{3} x \sec x \, dx$ .

What is the result of $9-3 \div \frac{1}{3}+1$ ?

Find $y$ if $\log _{y} \frac{1}{9}=3$ .

Solve for $y$ in the equation $y^{2}+7 y-60=0$ .

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את ערך $x$ . תשובה: $x =$

Find the $z$ -score for $x=7$ given that the mean is 4 and the standard deviation is 2.

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את $x =$

Find the line equation through the origin with the same slope as the line between points $A(1,5)$ and $B(2,-3)$ .

Evaluate $-3 \Delta -1$ for the operation $a \Delta b = \frac{a+b}{\sqrt{ab}}$ where $a, b \neq 0$ .

The probability of an athlete not winning 3 races is $\frac{1}{4}$ . Find the probability of winning: (i) only the 2nd race, (ii) all 3 races, (iii) exactly 2 races.

Expand the expression $(x-5)(x+2)$ .

Calculate $31 - 8$ .

A boat travels 222 km on 74 liters. How much gas for 39 km? Use the ratio: $\frac{74}{222} = \frac{x}{39}$ .

Calculate $\frac{32}{4}$ .

Calculate $2^{5} \div 4$ .

Calculate $(4+27)-\frac{32}{4}$ .

Calculate $-2^{5} \div 4$ .

Calculate $-32 \div 4$ .

Find the integral of $-\frac{1}{5} \sin u \, du$ .

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

Calculate $31 - \frac{32}{4}$

Solve the system of equations: $6x - 7y = -8$ and $-x - 4y = -9$ .

Solve the equation $\frac{7x - 8}{5} = \frac{2x + 5}{4}$ .

Solve the equation: $\frac{5(x+11)}{3}=\frac{3(1+x)}{2}$ for $x$ .

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Find $k$ for the planes $x-2y+4z=10$ and $18x+17y+kz=50$ to be perpendicular. Options: (a) -4 (b) 4 (c) 2 (d) -2

Solve the system of equations: $10x - 14y = -4$ and $-10x - 20y = -30$ .

In the 2017 Wyoming senate of 30 members, find the inequality for Democrats $d$ and Republicans $r$ for a bill to pass:
A) $d+r>15$
B) $d+r<15$
C) $d+r \geq 15$
D) $d+r \leq 15$

Multiply and simplify $(2x - 5)(3x - 3)$ .

Multiply and simplify: $(2x - 5)(3x - 3)$

Calculate $\frac{6}{2}(1+2)$ .