Math Statement

Problem 18101

Check if vector $b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}$ is a linear combo of columns of matrix $A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}$ .

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Problem 18102

Write a system of equations equivalent to the vector equation:
$x_{1}\begin{pmatrix} 3 \\ -5 \end{pmatrix} + x_{2}\begin{pmatrix} 7 \\ 4 \end{pmatrix} + x_{3}\begin{pmatrix} -3 \\ 1 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix}$
Choose the correct answer from the options provided.

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Problem 18103

Redefine $9=1$ to find when this equation holds true.

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Problem 18104

If $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

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Problem 18105

Calculate the following: 1. $10(-5)$ 2. $-1(-1)$

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Problem 18106

Write the system of equations as a vector equation and a matrix equation:
$\begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array}$

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Problem 18107

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

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Problem 18108

Calculate the value of $-2(-2)$ .

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Problem 18109

Calculate the following: (1) $6 \times -6$ , (2) $7 \times -10$ , and (3) $12 - 2 \times -2$ .

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Problem 18110

Solve for $m$ : $-16(m+13)-3<13$ .

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Problem 18111

Create the augmented matrix for $A \mathbf{x}=\mathbf{b}$ and solve for $\mathbf{x}$ . Given:
$A=\begin{bmatrix} 1 & 7 & -6 \\ -3 & -4 & 1 \\ -4 & -2 & 6 \end{bmatrix}, b=\begin{bmatrix} 9 \\ 7 \\ 32 \end{bmatrix}$ .

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Problem 18112

If $x(x+2)>0$ , is $x$ necessarily positive? Yes or No?

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Problem 18113

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Problem 18114

Solve for $h$ in the inequality: $-5h - 6 - 8h \geq -3 - 16h$ . Write as "h inequality".

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Problem 18115

Do the vectors $\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}$ span $\mathbb{R}^{4}$ ? Choose A, B, C, or D for the answer.

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Problem 18116

Solve for $p$ : $-4 p + 20 \leq -7 p - 19$ . Write the answer as p followed by an inequality symbol.

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Problem 18117

Factor the quadratic equation $x^{2}+8x+7$ .

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Problem 18118

Solve for $q$ : $18 q - 17 > -17 + 16 q$ . Write your answer in the form q inequality.

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Problem 18119

Solve for $h$ in the inequality: $-20-3h \geq 19+15h-3$ .

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Problem 18120

Solve for $s$ in the inequality: $-19s + 15 - 5s > -20s - 5$ . Write your answer with $s$ first.

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Problem 18121

Solve for $v$ in the inequalities $v-2 \leq 15$ or $v+2>20$ and graph the solution with endpoints.

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Problem 18122

Solve for $u$ in the inequality $12 \leq u+14<13$ and graph the solution with modified endpoints.

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Problem 18123

Solve for $v$ in the inequality $-5 \leq v-15 \leq -2$ and graph the solution with endpoints. Adjust one endpoint type.

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Problem 18124

Graph the solution for the compound inequality $-9<h-20<-3$ and plot the endpoints, changing one to open.

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Problem 18125

Solve the inequality $3x + 11 < 8$ and express the solution in interval notation.

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Problem 18126

Solve for $b$ in $4b - 9 \geq 7$ or $b + 10 \leq 7$ . Graph the solution, marking endpoints and changing one from closed to open.

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Problem 18127

Solve for $h$ in the inequalities $h-9<-1$ or $h-15 \geq 3$ and graph the solution with modified endpoints.

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Problem 18128

Graph the solution set for the interval $(-\infty,-1)$ .

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Problem 18129

Solve the inequality and express your answer as a reduced fraction: $12 + 14x > 18x - 3$ .

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Problem 18130

Solve for $r$ in $r-17<-3$ or $r-5>12$ . Graph the solution and adjust the endpoint as needed.

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Problem 18131

Solve the inequality $2(19x + 11) < 18 + 4x$ and express the solution in interval notation.

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Problem 18132

Solve the inequality: $-2 + 10x < 3(17x + 9)$ . Write your answer in interval notation.

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Problem 18133

Solve the inequality: $2(20x + 6) + 6 < 10 + 2x$ . Provide the answer in interval notation.

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Problem 18134

Solve the inequality $0.7 x + 3.8 < 9.1 + 0.8 x$ and express the solution in interval notation.

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Problem 18135

Solve the inequality $-19 \leq -4x - 7 < -15$ , then graph and provide interval notation for the solution.

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Problem 18136

Solve for $m$ in $m+17>18$ or $m+11 \leq 7$ , then graph the solution with endpoints and modify one endpoint.

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Problem 18137

Solve for $t$ in the inequality $-10 \leq t+10 \leq -8$ and graph the solution with endpoints.

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Problem 18138

Solve the system of equations for $x$ and $y$ : $3 - 2x = y + 2$ and $-4x + 1 = 3y - 6$ .

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Problem 18139

Solve for $j$ in the inequalities $5j - 13 < 2$ or $j + 16 > 20$ and graph the solution.

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Problem 18140

Solve for $z$ and graph the solution: $z-1<10$ or $z+3 \geq 16$ . Plot endpoints, change one to open, and delete a segment.

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Problem 18141

Solve the inequality $-\frac{3}{4} d - 5 < \frac{1}{4} d + 7$ .

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Problem 18142

Factor the expression: $5 x(7 x-5)$ .

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Problem 18143

Solve for $x$ in the inequality $-8>5x-18>-18$ and graph the solution with endpoints and one open endpoint.

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Problem 18144

Solve $x^{2}+y^{2}=81$ for $y$ . Find the positive and negative functions: $y_{1}=\square$ , $y_{2}=\square$ .

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Problem 18145

Solve for $p$ in the inequality $1 \leq \frac{p+10}{4} \leq 4$ , graph the solution, and modify the endpoints.

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Problem 18146

Convert $987 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

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Problem 18147

Solve for $j$ in the inequalities $-4 j+19>15$ or $j+7 \geq 12$ and graph the solution with endpoints.

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Problem 18148

Factor the trinomial: $5 x^{2}+21 x+18$

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Problem 18149

Solve for $p$ and graph: $p + 13 + 5p < 7$ or $8p - 3 \geq 14 - 9p$ . Plot endpoints, change one to open, delete middle.

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Problem 18150

Solve for $v$ in the inequality $3 \geq \frac{-2 v+19}{3}>1$ and graph the solution with modified endpoints.

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Problem 18151

Solve for $t$ in the inequality $t+2<5t+14$ or $t-15-3t>5$ . Graph the solution with endpoints.

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Problem 18152

Solve the inequality: $12 \geq \frac{x}{2}+2$ .

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Problem 18153

Solve the system of equations: $-x + 4y = -16$ .

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Problem 18154

Evaluate expressions and roots: 25. $4^{2}+2^{4}$ , 27. $-3^{4}-3$ , 33. $\sqrt{196}$ , 37. $\sqrt{11}$ , etc.

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Problem 18155

Find the intercepts of the equation $-x + 3y = -3$ . What are the $x$ and $y$ intercepts?

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Problem 18156

Solve the inequalities $\frac{4 d+7}{3}>5$ or $-3 d+4 \geq 19$ . Plot endpoints, change one from closed to open, and delete a middle segment.

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Problem 18157

Calculate $(1.201 \times 10^{3}) \times (1.2 \times 10^{-2})$ .

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Problem 18158

Solve the system of equations: $4x + 7y = 9$ and $-12x - 21y = -6$ .

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Problem 18159

Solve the inequality $-7(s+1) \leq 7$ and graph the solution, adjusting endpoints as needed.

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Problem 18160

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

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Problem 18161

Solve the inequality: $5 - 3x \leq 3 - 9x$ .

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Problem 18162

Solve the equation $7 x^{2}-45 x-28 = 0$ by factoring for the value of $x$ .

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Problem 18163

Solve the inequality $5 - 3x \leq 3 - 9x$ and express the solution in interval notation.

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Problem 18164

Find the intercepts of the equation $-3x + 6y = -18$ . What are the x-intercept and y-intercept?

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Problem 18165

Solve the inequality $2(h-2)-1 \leq 3$ and graph the solution, marking endpoints and changing one from closed to open.

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Problem 18166

Solve the inequality $\frac{v-10}{2}>-4$ and graph the solution, marking endpoints and adjusting one to open.

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Problem 18167

Solve the inequality $-10(d+3)<10$ , plot endpoints, change one to open, and delete the middle segment or ray.

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Problem 18168

Solve the inequality $-6 < 6(n-4) + 6$ and graph the solution with endpoints, changing one to open.

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Problem 18169

Solve for $x$ : $3 x + 5 = 3 x - 5$ .

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Problem 18170

Calculate: $3(-5)+\frac{7(-9)}{-10+13}$

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Problem 18171

Solve the inequality $\frac{c-2}{6}<1$ and graph the solution with endpoints, changing one to open and deleting the middle.

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Problem 18172

Solve the inequality $2(u+1)-2>8$ , plot the endpoints, and change one from closed to open. Delete the middle segment.

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Problem 18173

Evaluate $2(x)=4 x^{3}-5$ for $x=-2$ . What is the result?

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Problem 18174

Expand the expression: $(2 x^{2}+x+1)(3 x^{2}-6 x+8)$ into standard polynomial form.

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Problem 18175

Solve the inequality $1 > -(w + 5)$ , graph the solution, and adjust the endpoints as specified.

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Problem 18176

Solve the inequality $15 \geq 3(s+3)$ and graph the solution, marking endpoints and modifying one to open.

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Problem 18177

Evaluate the equation $y=-3x+2$ for $x=-4, -2, -1, 4$ . What are the corresponding $y$ values?

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Problem 18178

Solve the equation $3x - 4y = -8$ for $y$ when $x = -4, 0, 4$ .

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Problem 18179

Find the intercepts of the line $y=-4x+4$ . Provide answers as points $(x, y)$ for both intercepts.

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Problem 18180

Find the intercepts of $y=-4x+4$ . Provide answers as points $(x, y)$ . What is the $x$ -intercept?

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Problem 18181

Factor the expression $-44 x^{4} y^{6} + 24 y^{2} z^{2}$ .

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Problem 18182

Find ordered pairs $(x, y)$ that satisfy $8x + 2y = 24$ . Create a table to display them.

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Problem 18183

Find the derivative, integral, domain, range, and solution for the function $g(x)=\ln(2x-4)$ .

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Problem 18184

Evaluate $a(x)=4 x^{3}-5$ for $x=-2$ . What is the value of $a(-2)$ ?

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Problem 18185

Factor the expression completely: $-5 p^{3}+p^{2}+25 p-5$ .

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Problem 18186

For the equation $y=\frac{1}{3} x+3$ , find $y$ values for $x = 0, 3, -3, 6, -6$ .

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Problem 18187

Simplify by combining like terms: $3 x^{2}-x+12 x-4=$

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Problem 18188

Evaluate the limit using the Squeeze Theorem: $\lim _{x \rightarrow 0} x^{2} \cos \left(\frac{1}{x^{2}}\right)$ .

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Problem 18189

If $\frac{\tan \theta+\tan 3 \theta}{1-\tan \theta \tan 30}+1=0$ , find $\tan \theta$ in surd form.

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Problem 18190

Factor the expression completely: $5 r^{3}-11 r^{2}+6 r$ .

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Problem 18191

Find the value of $-\sqrt[5]{1024}$ . Choices: $-2$ , $-4$ , $-8$ , Not a real number.

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Problem 18192

Given $g(x, y, z)=0.07 x+0.02 y-0.09 z-0.01$ , complete: (a) $g$ changes by _ for 1 unit increase in $z$ . (b) $g$ changes by _ for 1 unit increase in $x$ . (c) $g$ increases by 0.02 for _ in _

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Problem 18193

Factor the expression: $-2 c^{4}-8 c^{3}+10 c^{2}+40 c$ .

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Problem 18194

Calculate the following:
1. $(g+h)(x)$
2. $(h-f)(x)$
3. $(f-h)(x)$
4. $(g \circ f)(x)$
5. Functions: $f(x)=x-1$ , $g(x)=x^{2}-1$ , $h(x)=3x^{3}-2x-1$

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Problem 18195

Simplify: $(x^{2}+5x-2)-(2x^{2}+4x-4)=$

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Problem 18196

Solve $\frac{\tan \theta+\tan 3 \theta^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

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Problem 18197

Factor the expression $6y - 5y - 21$ .

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Problem 18198

Which expression is equivalent to $(\sqrt[5]{8})^{4}$ using rational exponents? Options: $\left(\frac{4}{5}\right)^{8}$ , $\left(\frac{4}{5}\right)^{1 / 8}$ , $8^{5 / 4}$ , $8^{4 / 5}$ .

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Problem 18199

Evaluate $(27)^{-2 / 3}$ and express your answer as a simplified fraction.

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Problem 18200

Solve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

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1 ...179 180 181 182 183 184 185 ...270

Math Statement

Problem 18101

Check if vector b=[13−77]b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}b=⎣⎡​13−77​⎦⎤​ is a linear combo of columns of matrix A=[1−3−40633−911]A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}A=⎣⎡​103​−36−9​−4311​⎦⎤​.

Problem 18102

Problem 18103

Redefine 9=19=19=1 to find when this equation holds true.

Problem 18104

If x<6x<6x<6, show an appropriate inequality for x−3x-3x−3. What is x−3x-3x−3 less than?

Problem 18105

Calculate the following: 1. 10(−5)10(-5)10(−5) 2. −1(−1)-1(-1)−1(−1)

Problem 18106

Write the system of equations as a vector equation and a matrix equation:8x1−x2=102x1+9x2=23x1−x2=1 \begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array} 8x1​−x2​=102x1​+9x2​=23x1​−x2​=1​

Problem 18107

Factor the expression y+x2y3y + x^{2} y^{3}y+x2y3.

Problem 18108

Calculate the value of −2(−2)-2(-2)−2(−2).

Problem 18109

Calculate the following: (1) 6×−66 \times -66×−6, (2) 7×−107 \times -107×−10, and (3) 12−2×−212 - 2 \times -212−2×−2.

Problem 18110

Solve for mmm: −16(m+13)−3<13-16(m+13)-3<13−16(m+13)−3<13.

Problem 18111

Problem 18112

If x(x+2)>0x(x+2)>0x(x+2)>0, is xxx necessarily positive? Yes or No?

Problem 18113

Problem 18114

Solve for hhh in the inequality: −5h−6−8h≥−3−16h-5h - 6 - 8h \geq -3 - 16h−5h−6−8h≥−3−16h. Write as "h inequality".

Problem 18115

Do the vectors v1,v2,v3\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}v1​,v2​,v3​ span R4\mathbb{R}^{4}R4? Choose A, B, C, or D for the answer.

Problem 18116

Solve for ppp: −4p+20≤−7p−19-4 p + 20 \leq -7 p - 19−4p+20≤−7p−19. Write the answer as p followed by an inequality symbol.

Problem 18117

Factor the quadratic equation x2+8x+7x^{2}+8x+7x2+8x+7.

Problem 18118

Solve for qqq: 18q−17>−17+16q18 q - 17 > -17 + 16 q18q−17>−17+16q. Write your answer in the form q inequality.

Problem 18119

Solve for hhh in the inequality: −20−3h≥19+15h−3-20-3h \geq 19+15h-3−20−3h≥19+15h−3.

Problem 18120

Solve for sss in the inequality: −19s+15−5s>−20s−5-19s + 15 - 5s > -20s - 5−19s+15−5s>−20s−5. Write your answer with sss first.

Problem 18121

Solve for vvv in the inequalities v−2≤15v-2 \leq 15v−2≤15 or v+2>20v+2>20v+2>20 and graph the solution with endpoints.

Problem 18122

Solve for uuu in the inequality 12≤u+14<1312 \leq u+14<1312≤u+14<13 and graph the solution with modified endpoints.

Problem 18123

Solve for vvv in the inequality −5≤v−15≤−2-5 \leq v-15 \leq -2−5≤v−15≤−2 and graph the solution with endpoints. Adjust one endpoint type.

Problem 18124

Graph the solution for the compound inequality −9<h−20<−3-9<h-20<-3−9<h−20<−3 and plot the endpoints, changing one to open.

Problem 18125

Solve the inequality 3x+11<83x + 11 < 83x+11<8 and express the solution in interval notation.

Problem 18126

Solve for bbb in 4b−9≥74b - 9 \geq 74b−9≥7 or b+10≤7b + 10 \leq 7b+10≤7. Graph the solution, marking endpoints and changing one from closed to open.

Problem 18127

Solve for hhh in the inequalities h−9<−1h-9<-1h−9<−1 or h−15≥3h-15 \geq 3h−15≥3 and graph the solution with modified endpoints.

Problem 18128

Graph the solution set for the interval (−∞,−1)(-\infty,-1)(−∞,−1).

Problem 18129

Solve the inequality and express your answer as a reduced fraction: 12+14x>18x−312 + 14x > 18x - 312+14x>18x−3.

Problem 18130

Solve for rrr in r−17<−3r-17<-3r−17<−3 or r−5>12r-5>12r−5>12. Graph the solution and adjust the endpoint as needed.

Problem 18131

Solve the inequality 2(19x+11)<18+4x2(19x + 11) < 18 + 4x2(19x+11)<18+4x and express the solution in interval notation.

Problem 18132

Solve the inequality: −2+10x<3(17x+9)-2 + 10x < 3(17x + 9)−2+10x<3(17x+9). Write your answer in interval notation.

Problem 18133

Solve the inequality: 2(20x+6)+6<10+2x2(20x + 6) + 6 < 10 + 2x2(20x+6)+6<10+2x. Provide the answer in interval notation.

Problem 18134

Solve the inequality 0.7x+3.8<9.1+0.8x0.7 x + 3.8 < 9.1 + 0.8 x0.7x+3.8<9.1+0.8x and express the solution in interval notation.

Problem 18135

Solve the inequality −19≤−4x−7<−15-19 \leq -4x - 7 < -15−19≤−4x−7<−15, then graph and provide interval notation for the solution.

Problem 18136

Solve for mmm in m+17>18m+17>18m+17>18 or m+11≤7m+11 \leq 7m+11≤7, then graph the solution with endpoints and modify one endpoint.

Problem 18137

Solve for ttt in the inequality −10≤t+10≤−8-10 \leq t+10 \leq -8−10≤t+10≤−8 and graph the solution with endpoints.

Problem 18138

Solve the system of equations for xxx and yyy: 3−2x=y+23 - 2x = y + 23−2x=y+2 and −4x+1=3y−6-4x + 1 = 3y - 6−4x+1=3y−6.

Problem 18139

Solve for jjj in the inequalities 5j−13<25j - 13 < 25j−13<2 or j+16>20j + 16 > 20j+16>20 and graph the solution.

Problem 18140

Solve for zzz and graph the solution: z−1<10z-1<10z−1<10 or z+3≥16z+3 \geq 16z+3≥16. Plot endpoints, change one to open, and delete a segment.

Problem 18141

Solve the inequality −34d−5<14d+7-\frac{3}{4} d - 5 < \frac{1}{4} d + 7−43​d−5<41​d+7.

Check if vector $b = \begin{bmatrix} 13 \\ -7 \\ 7 \end{bmatrix}$ is a linear combo of columns of matrix $A = \begin{bmatrix} 1 & -3 & -4 \\ 0 & 6 & 3 \\ 3 & -9 & 11 \end{bmatrix}$ .

Redefine $9=1$ to find when this equation holds true.

If $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

Calculate the following: 1. $10(-5)$ 2. $-1(-1)$

Write the system of equations as a vector equation and a matrix equation:
$\begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array}$

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

Calculate the value of $-2(-2)$ .

Calculate the following: (1) $6 \times -6$ , (2) $7 \times -10$ , and (3) $12 - 2 \times -2$ .

Solve for $m$ : $-16(m+13)-3<13$ .

If $x(x+2)>0$ , is $x$ necessarily positive? Yes or No?

Solve for $h$ in the inequality: $-5h - 6 - 8h \geq -3 - 16h$ . Write as "h inequality".

Do the vectors $\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}$ span $\mathbb{R}^{4}$ ? Choose A, B, C, or D for the answer.

Solve for $p$ : $-4 p + 20 \leq -7 p - 19$ . Write the answer as p followed by an inequality symbol.

Factor the quadratic equation $x^{2}+8x+7$ .

Solve for $q$ : $18 q - 17 > -17 + 16 q$ . Write your answer in the form q inequality.

Solve for $h$ in the inequality: $-20-3h \geq 19+15h-3$ .

Solve for $s$ in the inequality: $-19s + 15 - 5s > -20s - 5$ . Write your answer with $s$ first.

Solve for $v$ in the inequalities $v-2 \leq 15$ or $v+2>20$ and graph the solution with endpoints.

Solve for $u$ in the inequality $12 \leq u+14<13$ and graph the solution with modified endpoints.

Solve for $v$ in the inequality $-5 \leq v-15 \leq -2$ and graph the solution with endpoints. Adjust one endpoint type.

Graph the solution for the compound inequality $-9<h-20<-3$ and plot the endpoints, changing one to open.

Solve the inequality $3x + 11 < 8$ and express the solution in interval notation.

Solve for $b$ in $4b - 9 \geq 7$ or $b + 10 \leq 7$ . Graph the solution, marking endpoints and changing one from closed to open.

Solve for $h$ in the inequalities $h-9<-1$ or $h-15 \geq 3$ and graph the solution with modified endpoints.

Graph the solution set for the interval $(-\infty,-1)$ .

Solve the inequality and express your answer as a reduced fraction: $12 + 14x > 18x - 3$ .

Solve for $r$ in $r-17<-3$ or $r-5>12$ . Graph the solution and adjust the endpoint as needed.

Solve the inequality $2(19x + 11) < 18 + 4x$ and express the solution in interval notation.

Solve the inequality: $-2 + 10x < 3(17x + 9)$ . Write your answer in interval notation.

Solve the inequality: $2(20x + 6) + 6 < 10 + 2x$ . Provide the answer in interval notation.

Solve the inequality $0.7 x + 3.8 < 9.1 + 0.8 x$ and express the solution in interval notation.

Solve the inequality $-19 \leq -4x - 7 < -15$ , then graph and provide interval notation for the solution.

Solve for $m$ in $m+17>18$ or $m+11 \leq 7$ , then graph the solution with endpoints and modify one endpoint.

Solve for $t$ in the inequality $-10 \leq t+10 \leq -8$ and graph the solution with endpoints.

Solve the system of equations for $x$ and $y$ : $3 - 2x = y + 2$ and $-4x + 1 = 3y - 6$ .

Solve for $j$ in the inequalities $5j - 13 < 2$ or $j + 16 > 20$ and graph the solution.

Solve for $z$ and graph the solution: $z-1<10$ or $z+3 \geq 16$ . Plot endpoints, change one to open, and delete a segment.

Solve the inequality $-\frac{3}{4} d - 5 < \frac{1}{4} d + 7$ .

Factor the expression: $5 x(7 x-5)$ .

Solve for $x$ in the inequality $-8>5x-18>-18$ and graph the solution with endpoints and one open endpoint.

Solve $x^{2}+y^{2}=81$ for $y$ . Find the positive and negative functions: $y_{1}=\square$ , $y_{2}=\square$ .

Solve for $p$ in the inequality $1 \leq \frac{p+10}{4} \leq 4$ , graph the solution, and modify the endpoints.

Convert $987 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

Solve for $j$ in the inequalities $-4 j+19>15$ or $j+7 \geq 12$ and graph the solution with endpoints.

Factor the trinomial: $5 x^{2}+21 x+18$

Solve for $p$ and graph: $p + 13 + 5p < 7$ or $8p - 3 \geq 14 - 9p$ . Plot endpoints, change one to open, delete middle.

Solve for $v$ in the inequality $3 \geq \frac{-2 v+19}{3}>1$ and graph the solution with modified endpoints.

Solve for $t$ in the inequality $t+2<5t+14$ or $t-15-3t>5$ . Graph the solution with endpoints.

Solve the inequality: $12 \geq \frac{x}{2}+2$ .

Solve the system of equations: $-x + 4y = -16$ .

Evaluate expressions and roots: 25. $4^{2}+2^{4}$ , 27. $-3^{4}-3$ , 33. $\sqrt{196}$ , 37. $\sqrt{11}$ , etc.

Find the intercepts of the equation $-x + 3y = -3$ . What are the $x$ and $y$ intercepts?

Solve the inequalities $\frac{4 d+7}{3}>5$ or $-3 d+4 \geq 19$ . Plot endpoints, change one from closed to open, and delete a middle segment.

Calculate $(1.201 \times 10^{3}) \times (1.2 \times 10^{-2})$ .

Solve the system of equations: $4x + 7y = 9$ and $-12x - 21y = -6$ .

Solve the inequality $-7(s+1) \leq 7$ and graph the solution, adjusting endpoints as needed.

Evaluate $5\left[13-\left(3^{2}+2^{2}\right)\right]$ and find which is NOT equivalent to $2 \cdot 3 \frac{5}{6}+2 \cdot 12+2 \cdot 1 \frac{1}{6}$ .

Solve the inequality: $5 - 3x \leq 3 - 9x$ .

Solve the equation $7 x^{2}-45 x-28 = 0$ by factoring for the value of $x$ .

Solve the inequality $5 - 3x \leq 3 - 9x$ and express the solution in interval notation.

Find the intercepts of the equation $-3x + 6y = -18$ . What are the x-intercept and y-intercept?

Solve the inequality $2(h-2)-1 \leq 3$ and graph the solution, marking endpoints and changing one from closed to open.

Solve the inequality $\frac{v-10}{2}>-4$ and graph the solution, marking endpoints and adjusting one to open.

Solve the inequality $-10(d+3)<10$ , plot endpoints, change one to open, and delete the middle segment or ray.

Solve the inequality $-6 < 6(n-4) + 6$ and graph the solution with endpoints, changing one to open.

Solve for $x$ : $3 x + 5 = 3 x - 5$ .

Calculate: $3(-5)+\frac{7(-9)}{-10+13}$

Solve the inequality $\frac{c-2}{6}<1$ and graph the solution with endpoints, changing one to open and deleting the middle.

Solve the inequality $2(u+1)-2>8$ , plot the endpoints, and change one from closed to open. Delete the middle segment.

Evaluate $2(x)=4 x^{3}-5$ for $x=-2$ . What is the result?

Expand the expression: $(2 x^{2}+x+1)(3 x^{2}-6 x+8)$ into standard polynomial form.