Math Statement

Problem 14101

Subtract 3 times the first row from the matrix. Find the new first row: $\left[\begin{array}{cc}-2 & 1\end{array}\right]-3\left[\begin{array}{cc}1 & 0\end{array}\right]$

See Solution

Problem 14102

Solve the equation $3 x - 15 = 18(x - 15)$ .

See Solution

Problem 14103

Find the limit: $\lim _{x \rightarrow 2}\left(\frac{9 x-6}{3 x^{2}-10 x+8}-\frac{9 x+24}{4 x^{2}-9 x+2}\right)$ .

See Solution

Problem 14104

Solve the system of equations using the Gauss method:
1. $x + 2y - 2t + t = 1$
2. $2x + 5y - 6z + xt = 1$
3. $x + 4y - 3t + 7t = 5$
4. $3x + 9y - 12t + 4t = 2$

See Solution

Problem 14105

Calculate $-\sqrt{\frac{4}{64}}$ .

See Solution

Problem 14106

Calculate the determinant of the matrix: $\Delta=\left|\begin{array}{llll}1 & 2 & 3 & 4 \\ 3 & 5 & 7 & 9 \\ 4 & 7 & 11 & 15 \\ 8 & 4 & 21 & 30\end{array}\right|$

See Solution

Problem 14107

Find the value of $\sqrt{\frac{16}{49}}$ .

See Solution

Problem 14108

Calculate $-\sqrt{\frac{64}{121}}$ .

See Solution

Problem 14109

Find the value of $\sqrt{\frac{121}{169}}$ .

See Solution

Problem 14110

Calculate the value of $\sqrt{\frac{196}{4}}$ .

See Solution

Problem 14111

Calculate $-\sqrt{\frac{25}{256}}$ .

See Solution

Problem 14112

Calculate the value of $\sqrt{\frac{121}{144}}$ .

See Solution

Problem 14113

Find the value of $-\sqrt{\frac{1}{4}}$ .

See Solution

Problem 14114

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

See Solution

Problem 14115

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

See Solution

Problem 14116

Solve for $x$ in the equation $81=x^{8}$ .

See Solution

Problem 14117

Solve the equation: $\sqrt{1-2 \cdot \sqrt{2 x+5}}=1$ .

See Solution

Problem 14118

Calculate $-125^{\frac{2}{3}}$ .

See Solution

Problem 14119

Calculate $36^{\frac{3}{2}}$ .

See Solution

Problem 14120

Solve for $n$ in the equation $-\frac{783}{8}=\frac{1}{4} n+\frac{13}{8}\left(\frac{15}{2} n+1\right)$ .

See Solution

Problem 14121

Find the value of $k(3)$ for the function $k(t)=13 t-2$ .

See Solution

Problem 14122

Calculate $16^{\frac{3}{2}}$ .

See Solution

Problem 14123

Calculate $64^{\frac{3}{2}}$ .

See Solution

Problem 14124

Calculate $25^{\frac{3}{2}}$ .

See Solution

Problem 14125

Analyze the polynomial $h(x)=x^{6}-3x^{5}-17x^{3}$ and determine its end behavior.

See Solution

Problem 14126

Analyze the polynomial $g(x)=-10 x^{7}-9 x^{5}+7 x^{3}-8 x$ to determine its end behavior.

See Solution

Problem 14127

Analyze the polynomial $h(x)=-7 x^{6}+3 x^{4}-5 x^{2}$ and determine its end behavior.

See Solution

Problem 14128

Evaluate $\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}$ . Choose from: $\frac{4096}{729}$ , $\frac{1024}{243}$ , $-\frac{1024}{243}$ , $-\frac{4096}{729}$ .

See Solution

Problem 14129

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

See Solution

Problem 14130

Which expression equals $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ ? Options: $\frac{(1.5)^{15}}{(0.7)^{12}}$ , $\frac{(1.5)^{8}}{(0.7)^{7}}$ , $2.1^{3}$ , $2.1^{15}$ .

See Solution

Problem 14131

Calculate $3 \cdot \frac{1}{2}$ .

See Solution

Problem 14132

Evaluate $\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}$ . Options: 1, 1 \frac{1}{16}, $\frac{1}{16}$ , $\frac{1}{32}$ .

See Solution

Problem 14133

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

See Solution

Problem 14134

Choose the equivalent expression for $\frac{(-3)^{4}}{(-3)^{2}}$ : 1) $\frac{(-3)^{2}}{(-3)^{4}}$ 2) $\frac{(-3)^{6}}{(-3)^{4}}$ 3) $\frac{(-3)}{(-3)^{5}}$ 4) $\frac{(-3)^{5}}{(-3)}$

See Solution

Problem 14135

Calculate: $18 \div 2$ and $-24 \div -3$ .

See Solution

Problem 14136

Evaluate the expression: $\frac{1}{2} + \frac{2}{5} \times \frac{3}{4}$ and express your answer as a fraction or mixed number.

See Solution

Problem 14137

Find the transformation of the functions $f(x) = |x|$ and $g(x) = 2f(x-3)$ .

See Solution

Problem 14138

Translate the function $f(x)=x^{3}$ right 1 unit and down 1 unit.

See Solution

Problem 14139

Solve the equation: $-12=2x+x+3$ .

See Solution

Problem 14140

Factor the expression: $x^{2}-2 x-80$ .

See Solution

Problem 14141

Solve for $x$ in the equation: $x - 5 = -5$ .

See Solution

Problem 14142

Solve the equation: $5x - 9 - 2x = 3$ .

See Solution

Problem 14143

Translate the function $f(x)=|x|$ right 3 units and up 2 units.

See Solution

Problem 14144

Factor the expression: $x^{2}+4x+3$ .

See Solution

Problem 14145

Factor the expression: $x^{2}+4 x+3$ .

See Solution

Problem 14146

Factor the trinomial: $3 x^{2}+14 x+8$

See Solution

Problem 14147

Solve for $x$ in the equation: $15 - 2x = 3x$ .

See Solution

Problem 14148

Calculate the following divisions:
$24 \div 816$ , $32 \div 192$ , $17 \div 2736$ , $29 \div 8207$ , $48 \div 1280$ , $73 \div 3577$ , $19 \div 4332$ , $22 \div 7439$ , $26 \div 9302$ , $67 \div 5226$ , $84 \div 2999$ , $71 \div 6103$ .

See Solution

Problem 14149

1. What is $\frac{4}{8}+\frac{3}{8}$ ?

See Solution

Problem 14150

Factor the trinomial: $2x^{2} + 21x + 49$ .

See Solution

Problem 14151

Solve right triangle ABC with $C=90^{\circ}$ , $B=65.5^{\circ}$ , $b=126$ in. Find $A$ , $a$ , and $c$ (round as needed).

See Solution

Problem 14152

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

See Solution

Problem 14153

Simplify the expression: $\frac{1}{2}(8 x+2)$ .

See Solution

Problem 14154

Solve the equation: $10(g+5)=2(g+9)$ .

See Solution

Problem 14155

Calculate $\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}$ .

See Solution

Problem 14156

Calculate the value of $8.11 \times 10^{-2}$ .

See Solution

Problem 14157

Solve for $x$ in the equation $3 m^{x+1} = 18$ .

See Solution

Problem 14158

Find the monomial function(s) with a maximum from: $y=x^{3}$ , $y=-4 x$ , $y=-3 x^{4}$ , $y=-2 x^{12}$ , $y=3 x^{3}$ , $y=6 x^{8}$ .

See Solution

Problem 14159

Solve for $x$ in the equation $x - 62 = 123$ by isolating the variable.

See Solution

Problem 14160

Solve for $x$ in the equation $x - 62 = 123$ and show your steps.

See Solution

Problem 14161

What property does the equation $(3)(4 d)=(4 d)(3)$ demonstrate: commutative, associative, distributive, or multiplicative inverse?

See Solution

Problem 14162

Rewrite $2x + 3y = 12$ in slope-intercept form.

See Solution

Problem 14163

Evaluate $(h \cdot g)(-4)$ for the functions $f(x)=-6x$ , $g(x)=|x+7|$ , $h(x)=\frac{1}{x+5}$ . Answer: $(h \cdot g)(-4)$ is $\square$ .

See Solution

Problem 14164

Evaluate $\left(\frac{h}{f}\right)(1)$ for the functions $f(x)=3x$ , $g(x)=|x-4|$ , and $h(x)=\frac{1}{x-7}$ .

See Solution

Problem 14165

Simplify the expression: $4 n - (7 - 6 n)$ .

See Solution

Problem 14166

Evaluate $\left(\frac{g}{f}\right)(1)$ for $f(x)=-4x$ and $g(x)=|x+7|$ . Provide your answer as an integer.

See Solution

Problem 14167

Simplify the expression: $-3 - 7(-3 - 6v)$ .

See Solution

Problem 14168

Find $(p-r)(x)$ for $r(x)=-4x$ and $p(x)=x^2+2x$ . Determine the domain of $(p-r)(x)$ .

See Solution

Problem 14169

Calculate $(0.5)^{3}$ .

See Solution

Problem 14170

Simplify the expression $6 x + (5 x - 8 y - 4)$ .

See Solution

Problem 14171

Calculate $\left(-\frac{3}{10}\right)^{2}$ .

See Solution

Problem 14172

Calculate $\left(\frac{1}{4}\right)^{3}$ .

See Solution

Problem 14173

Factor the trinomial: $5x^{2} + 24x + 16$ .

See Solution

Problem 14174

Becca solved $4(x+2)=28$ and wrote $4x+8=28$ . Which property did she use? Options: distributive, associative, commutative, identity.

See Solution

Problem 14175

Identify the property shown by $M+A=A+M$ where $M$ and $A$ are integers: commutative, associative, distributive, or closure?

See Solution

Problem 14176

Which property is shown by $6+(4+y)=6+(y+4)$ ? (Hint: 4 and $y$ switched places)

See Solution

Problem 14177

Which property is shown by $52+(27+36)=(52+27)+36$ ? Choices: commutative, associative, distributive, identity.

See Solution

Problem 14178

Solve for $x$ in the equation: $2 x + 7 = 6 x - 9$ .

See Solution

Problem 14179

Add the mixed numbers $3 \frac{1}{4}$ and $4 \frac{1}{4}$ .

See Solution

Problem 14180

Simplify the expression: $-8 x - 8(-4 y - 2 x)$ .

See Solution

Problem 14181

Solve the equation: $\frac{1}{2}(8 x+2)=x+10$ .

See Solution

Problem 14182

Find the equivalent expression for $-2 x^{2}+8 x-9+4 x+7 x^{2}+2$ . Options: A. $5 x^{2}+12 x-7$ , B. $-5 x^{2}+4 x+11$ , C. $-9 x^{2}-12 x+11$ , D. $-9 x^{2}+4 x-7$ .

See Solution

Problem 14183

Expand $(x+5)(x-7)$ using the distributive property. Fill in the results.

See Solution

Problem 14184

Which inequality matches $-4(x+7)<3(x-2)$ ? A. $-7 x<22$ B. $-7 x<-34$ C. $-7 x>22$ D. $-7 x>-34$

See Solution

Problem 14185

Simplify $\sqrt[4]{16 x^{12}}$ for $x>0$ .

See Solution

Problem 14186

Simplify $\sqrt[4]{x^{24}}$ for $x>0$ .

See Solution

Problem 14187

Simplify $\sqrt[3]{x^{24}}$ for $x>0$ .

See Solution

Problem 14188

Simplify $\sqrt{64 x^{2}}$ for $x>0$ .

See Solution

Problem 14189

Simplify the following expressions with only positive exponents:
1) $2 m^{2} \cdot 2 m^{3}$ 2) $m^{4} \cdot 2 m^{-3}$ 3) $4 r^{-3} \cdot 2 r^{2}$ 4) $4 n^{4} \cdot 2 n^{-3}$ 5) $2 k^{4}, 4 k$ 6) $2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3}$ 7) $2 y^{2}+3 x$ 8) $4 v^{3} \cdot v u^{2}$ 9) $4 a^{3} b^{2}+3 a^{-4} b^{-3}$ 10) $x^{2} y^{-4} \cdot x^{3} y^{2}$

See Solution

Problem 14190

Find the function with an axis of symmetry at $x = -3$ : $f(x)=|x-3|$ , $f(x)=|x|+3$ , $f(x)=|x+3|$ , $f(x)=|x|-3$ .

See Solution

Problem 14191

Simplify $\sqrt{100 x^{18}}$ for $x>0$ .

See Solution

Problem 14192

Simplify $\sqrt[3]{27 x^{21}}$ for $x>0$ .

See Solution

Problem 14193

Simplify $6x^{2}\sqrt{80x}+x\sqrt{45x^{3}}$ .

See Solution

Problem 14194

Solve the inequality $2 > \frac{1}{8} m$ for the variable 'm'.

See Solution

Problem 14195

Find the solution set for the equation: $-3|1-x|-2=-14$ . Options: $\{-5,3\}$ , $\{-3,5\}$ , $\{3,-5\}$ , $\{5,3\}$ .

See Solution

Problem 14196

Solve the equation $-5+\left|\frac{x}{6}\right|=-7$ . What is the solution set?

See Solution

Problem 14197

Simplify the expression: $5 \sqrt{72 x^{7}} - x \sqrt{50 x^{5}}$ .

See Solution

Problem 14198

Simplify $-6 x \sqrt{150 x^{3}} + 6 \sqrt{24 x^{5}}$ to its simplest radical form.

See Solution

Problem 14199

Solve the inequality $|2x-5|-3<-7$ and identify the solution set: $-5<x<-1$ , $x<-5$ or $x>-1$ , $\varnothing$ , or $R$ .

See Solution

Problem 14200

Find the inequality that represents the range of $f(x)=|x-5|+3$ . Options: $y \geq-5$ , $y \geq-3$ , $y \geq 3$ , $y \geq 5$ .

See Solution

1 ...139 140 141 142 143 144 145 ...270

Math Statement

Problem 14101

Subtract 3 times the first row from the matrix. Find the new first row: [−21]−3[10]\left[\begin{array}{cc}-2 & 1\end{array}\right]-3\left[\begin{array}{cc}1 & 0\end{array}\right][−2​1​]−3[1​0​]

Problem 14102

Solve the equation 3x−15=18(x−15)3 x - 15 = 18(x - 15)3x−15=18(x−15).

Problem 14103

Find the limit: lim⁡x→2(9x−63x2−10x+8−9x+244x2−9x+2)\lim _{x \rightarrow 2}\left(\frac{9 x-6}{3 x^{2}-10 x+8}-\frac{9 x+24}{4 x^{2}-9 x+2}\right)limx→2​(3x2−10x+89x−6​−4x2−9x+29x+24​).

Problem 14104

Solve the system of equations using the Gauss method: 1. x+2y−2t+t=1x + 2y - 2t + t = 1x+2y−2t+t=1 2. 2x+5y−6z+xt=12x + 5y - 6z + xt = 12x+5y−6z+xt=1 3. x+4y−3t+7t=5x + 4y - 3t + 7t = 5x+4y−3t+7t=5 4. 3x+9y−12t+4t=23x + 9y - 12t + 4t = 23x+9y−12t+4t=2

Problem 14105

Calculate −464-\sqrt{\frac{4}{64}}−644​​.

Problem 14106

Calculate the determinant of the matrix: Δ=∣12343579471115842130∣\Delta=\left|\begin{array}{llll}1 & 2 & 3 & 4 \\ 3 & 5 & 7 & 9 \\ 4 & 7 & 11 & 15 \\ 8 & 4 & 21 & 30\end{array}\right|Δ=∣∣​1348​2574​371121​491530​∣∣​

Problem 14107

Find the value of 1649\sqrt{\frac{16}{49}}4916​​.

Problem 14108

Calculate −64121-\sqrt{\frac{64}{121}}−12164​​.

Problem 14109

Find the value of 121169\sqrt{\frac{121}{169}}169121​​.

Problem 14110

Calculate the value of 1964\sqrt{\frac{196}{4}}4196​​.

Problem 14111

Calculate −25256-\sqrt{\frac{25}{256}}−25625​​.

Problem 14112

Calculate the value of 121144\sqrt{\frac{121}{144}}144121​​.

Problem 14113

Find the value of −14-\sqrt{\frac{1}{4}}−41​​.

Problem 14114

Calculate the expression (−2)×(−4)×((−5)−1)(-2) \times (-4) \times ((-5) - 1)(−2)×(−4)×((−5)−1).

Problem 14115

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

Problem 14116

Solve for xxx in the equation 81=x881=x^{8}81=x8.

Problem 14117

Solve the equation: 1−2⋅2x+5=1\sqrt{1-2 \cdot \sqrt{2 x+5}}=11−2⋅2x+5​​=1.

Problem 14118

Calculate −12523-125^{\frac{2}{3}}−12532​.

Problem 14119

Calculate 363236^{\frac{3}{2}}3623​.

Problem 14120

Solve for nnn in the equation −7838=14n+138(152n+1)-\frac{783}{8}=\frac{1}{4} n+\frac{13}{8}\left(\frac{15}{2} n+1\right)−8783​=41​n+813​(215​n+1).

Problem 14121

Find the value of k(3)k(3)k(3) for the function k(t)=13t−2k(t)=13 t-2k(t)=13t−2.

Problem 14122

Calculate 163216^{\frac{3}{2}}1623​.

Problem 14123

Calculate 643264^{\frac{3}{2}}6423​.

Problem 14124

Calculate 253225^{\frac{3}{2}}2523​.

Problem 14125

Analyze the polynomial h(x)=x6−3x5−17x3h(x)=x^{6}-3x^{5}-17x^{3}h(x)=x6−3x5−17x3 and determine its end behavior.

Problem 14126

Analyze the polynomial g(x)=−10x7−9x5+7x3−8xg(x)=-10 x^{7}-9 x^{5}+7 x^{3}-8 xg(x)=−10x7−9x5+7x3−8x to determine its end behavior.

Problem 14127

Analyze the polynomial h(x)=−7x6+3x4−5x2h(x)=-7 x^{6}+3 x^{4}-5 x^{2}h(x)=−7x6+3x4−5x2 and determine its end behavior.

Problem 14128

Evaluate ((−43)2)3\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}((−34​)2)3. Choose from: 4096729\frac{4096}{729}7294096​, 1024243\frac{1024}{243}2431024​, −1024243-\frac{1024}{243}−2431024​, −4096729-\frac{4096}{729}−7294096​.

Problem 14129

Find an equivalent expression for ((34)4(34)3)2\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}((43​)4(43​)3)2.

Problem 14130

Which expression equals ((1.5)5(0.7)4)3\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}((0.7)4(1.5)5​)3? Options: (1.5)15(0.7)12\frac{(1.5)^{15}}{(0.7)^{12}}(0.7)12(1.5)15​, (1.5)8(0.7)7\frac{(1.5)^{8}}{(0.7)^{7}}(0.7)7(1.5)8​, 2.132.1^{3}2.13, 2.1152.1^{15}2.115.

Problem 14131

Calculate 3⋅123 \cdot \frac{1}{2}3⋅21​.

Problem 14132

Evaluate ((14)7(14)6)2\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}((41​)6(41​)7​)2. Options: 1, 1 \frac{1}{16}, 116\frac{1}{16}161​, 132\frac{1}{32}321​.

Problem 14133

Simplify (3.2)(3.22)4(3.2)(3.2^2)^4(3.2)(3.22)4. Choices: (3.2)9(3.2)^9(3.2)9, (3.2)8(3.2)^8(3.2)8, (3.2)7(3.2)^7(3.2)7, (3.2)6(3.2)^6(3.2)6.

Problem 14134

Problem 14135

Calculate: 18÷218 \div 218÷2 and −24÷−3-24 \div -3−24÷−3.

Problem 14136

Evaluate the expression: 12+25×34 \frac{1}{2} + \frac{2}{5} \times \frac{3}{4} 21​+52​×43​ and express your answer as a fraction or mixed number.

Problem 14137

Find the transformation of the functions f(x)=∣x∣f(x) = |x|f(x)=∣x∣ and g(x)=2f(x−3)g(x) = 2f(x-3)g(x)=2f(x−3).

Problem 14138

Translate the function f(x)=x3f(x)=x^{3}f(x)=x3 right 1 unit and down 1 unit.

Problem 14139

Solve the equation: −12=2x+x+3-12=2x+x+3−12=2x+x+3.

Problem 14140

Factor the expression: x2−2x−80x^{2}-2 x-80x2−2x−80.

Subtract 3 times the first row from the matrix. Find the new first row: $\left[\begin{array}{cc}-2 & 1\end{array}\right]-3\left[\begin{array}{cc}1 & 0\end{array}\right]$

Solve the equation $3 x - 15 = 18(x - 15)$ .

Find the limit: $\lim _{x \rightarrow 2}\left(\frac{9 x-6}{3 x^{2}-10 x+8}-\frac{9 x+24}{4 x^{2}-9 x+2}\right)$ .

Solve the system of equations using the Gauss method:
1. $x + 2y - 2t + t = 1$
2. $2x + 5y - 6z + xt = 1$
3. $x + 4y - 3t + 7t = 5$
4. $3x + 9y - 12t + 4t = 2$

Calculate $-\sqrt{\frac{4}{64}}$ .

Calculate the determinant of the matrix: $\Delta=\left|\begin{array}{llll}1 & 2 & 3 & 4 \\ 3 & 5 & 7 & 9 \\ 4 & 7 & 11 & 15 \\ 8 & 4 & 21 & 30\end{array}\right|$

Find the value of $\sqrt{\frac{16}{49}}$ .

Calculate $-\sqrt{\frac{64}{121}}$ .

Find the value of $\sqrt{\frac{121}{169}}$ .

Calculate the value of $\sqrt{\frac{196}{4}}$ .

Calculate $-\sqrt{\frac{25}{256}}$ .

Calculate the value of $\sqrt{\frac{121}{144}}$ .

Find the value of $-\sqrt{\frac{1}{4}}$ .

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

Solve for $x$ in the equation $81=x^{8}$ .

Solve the equation: $\sqrt{1-2 \cdot \sqrt{2 x+5}}=1$ .

Calculate $-125^{\frac{2}{3}}$ .

Calculate $36^{\frac{3}{2}}$ .

Solve for $n$ in the equation $-\frac{783}{8}=\frac{1}{4} n+\frac{13}{8}\left(\frac{15}{2} n+1\right)$ .

Find the value of $k(3)$ for the function $k(t)=13 t-2$ .

Calculate $16^{\frac{3}{2}}$ .

Calculate $64^{\frac{3}{2}}$ .

Calculate $25^{\frac{3}{2}}$ .

Analyze the polynomial $h(x)=x^{6}-3x^{5}-17x^{3}$ and determine its end behavior.

Analyze the polynomial $g(x)=-10 x^{7}-9 x^{5}+7 x^{3}-8 x$ to determine its end behavior.

Analyze the polynomial $h(x)=-7 x^{6}+3 x^{4}-5 x^{2}$ and determine its end behavior.

Evaluate $\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}$ . Choose from: $\frac{4096}{729}$ , $\frac{1024}{243}$ , $-\frac{1024}{243}$ , $-\frac{4096}{729}$ .

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

Which expression equals $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ ? Options: $\frac{(1.5)^{15}}{(0.7)^{12}}$ , $\frac{(1.5)^{8}}{(0.7)^{7}}$ , $2.1^{3}$ , $2.1^{15}$ .

Calculate $3 \cdot \frac{1}{2}$ .

Evaluate $\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}$ . Options: 1, 1 \frac{1}{16}, $\frac{1}{16}$ , $\frac{1}{32}$ .

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

Calculate: $18 \div 2$ and $-24 \div -3$ .

Evaluate the expression: $\frac{1}{2} + \frac{2}{5} \times \frac{3}{4}$ and express your answer as a fraction or mixed number.

Find the transformation of the functions $f(x) = |x|$ and $g(x) = 2f(x-3)$ .

Translate the function $f(x)=x^{3}$ right 1 unit and down 1 unit.

Solve the equation: $-12=2x+x+3$ .

Factor the expression: $x^{2}-2 x-80$ .

Solve for $x$ in the equation: $x - 5 = -5$ .

Solve the equation: $5x - 9 - 2x = 3$ .

Translate the function $f(x)=|x|$ right 3 units and up 2 units.

Factor the expression: $x^{2}+4x+3$ .

Factor the expression: $x^{2}+4 x+3$ .

Factor the trinomial: $3 x^{2}+14 x+8$

Solve for $x$ in the equation: $15 - 2x = 3x$ .

1. What is $\frac{4}{8}+\frac{3}{8}$ ?

Factor the trinomial: $2x^{2} + 21x + 49$ .

Solve right triangle ABC with $C=90^{\circ}$ , $B=65.5^{\circ}$ , $b=126$ in. Find $A$ , $a$ , and $c$ (round as needed).

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

Simplify the expression: $\frac{1}{2}(8 x+2)$ .

Solve the equation: $10(g+5)=2(g+9)$ .

Calculate $\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}$ .

Calculate the value of $8.11 \times 10^{-2}$ .

Solve for $x$ in the equation $3 m^{x+1} = 18$ .

Find the monomial function(s) with a maximum from: $y=x^{3}$ , $y=-4 x$ , $y=-3 x^{4}$ , $y=-2 x^{12}$ , $y=3 x^{3}$ , $y=6 x^{8}$ .

Solve for $x$ in the equation $x - 62 = 123$ by isolating the variable.

Solve for $x$ in the equation $x - 62 = 123$ and show your steps.

What property does the equation $(3)(4 d)=(4 d)(3)$ demonstrate: commutative, associative, distributive, or multiplicative inverse?

Rewrite $2x + 3y = 12$ in slope-intercept form.

Evaluate $(h \cdot g)(-4)$ for the functions $f(x)=-6x$ , $g(x)=|x+7|$ , $h(x)=\frac{1}{x+5}$ . Answer: $(h \cdot g)(-4)$ is $\square$ .

Evaluate $\left(\frac{h}{f}\right)(1)$ for the functions $f(x)=3x$ , $g(x)=|x-4|$ , and $h(x)=\frac{1}{x-7}$ .

Simplify the expression: $4 n - (7 - 6 n)$ .

Evaluate $\left(\frac{g}{f}\right)(1)$ for $f(x)=-4x$ and $g(x)=|x+7|$ . Provide your answer as an integer.

Simplify the expression: $-3 - 7(-3 - 6v)$ .

Find $(p-r)(x)$ for $r(x)=-4x$ and $p(x)=x^2+2x$ . Determine the domain of $(p-r)(x)$ .

Calculate $(0.5)^{3}$ .

Simplify the expression $6 x + (5 x - 8 y - 4)$ .

Calculate $\left(-\frac{3}{10}\right)^{2}$ .

Calculate $\left(\frac{1}{4}\right)^{3}$ .

Factor the trinomial: $5x^{2} + 24x + 16$ .

Becca solved $4(x+2)=28$ and wrote $4x+8=28$ . Which property did she use? Options: distributive, associative, commutative, identity.