Math Statement

Problem 14001

Calculate $0.5000 / 3.4$ and provide the answer with the correct significant figures.

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Problem 14002

Find the limit as $t$ approaches 0 from the right of $\log(t)$ .

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Problem 14003

Calculate $4+[2-(8+9)]$ using the order of operations. Choose A or B for your answer.

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Problem 14004

Find the limit: $\lim _{t \rightarrow 0^{-}} \ln (-t)$

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Problem 14005

Calculate the limit: $\lim _{t \rightarrow 5^{+}} \ln (t-5)$ .

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Problem 14006

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

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Problem 14007

Find the largest $\delta$ for $\varepsilon=0.2$ and $\varepsilon=0.1$ in the limit $\lim _{x \rightarrow 2}(x^{3}-5 x+5)=3$ . Round to four decimal places.

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Problem 14008

Calculate the sum of 32 and 28. What is $32 + 28$ ?

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Problem 14009

Simplify the expression: $11 y+\frac{-2 y-8 y}{-5}$

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Problem 14010

Evaluate the expression $11y + \frac{-2y - 8y}{-5}$ at $y = -5$ and simplify.

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Problem 14011

Simplify the expression: $\frac{-3 x - x}{2} + 9 x$

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Problem 14012

Evaluate the expression $-2x - y - 5$ for $x = -2$ and $y = -3$ , then simplify the result.

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Problem 14013

Simplify the expression: $-2(4 x+3)+(3 y+3)$ .

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Problem 14014

Evaluate the expression $6 x^{2}+6 y^{2}-5$ at $x=3, y=-4$ and simplify.

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Problem 14015

Solve the system of equations: $y^{2}=25$ and $c+3y=10$ .

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Problem 14016

Solve the system of equations: $x^{2}+y^{2}=25$ and $2x+3y=10$ .

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Problem 14017

Simplify the expression: $3\left(x^{2}+4 x+3\right)+5\left(x^{2}+3 x+2\right)$ .

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Problem 14018

Determine if these equations express $y$ as a function of $x$ : $x^{2}+y^{2}=25$ , $2 x+3 y=10$ , $x=y^{2}-25$ .

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Problem 14019

Evaluate the expression $-6 x^{2}-5 y^{2}+5$ for $x=-2$ and $y=-7$ , then simplify.

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Problem 14020

Determine if the following relationships express $y$ as a function of $x$ :
1. $x^{2}+y^{2}=25$
2. $2 x+3 y=10$
3. $x=y^{2}-25$

See Solution

Problem 14021

Find the sum of 98 and 33: $98 + 33$ .

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Problem 14022

Find $\delta$ for $\varepsilon=0.1$ in the limit: $\lim _{x \rightarrow 6}-3 x-4=-22$ .

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Problem 14023

Simplify the polynomial $-3x - 2x^2 + 5 + 3x^2$ .

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Problem 14024

Prove that $\lim _{x \rightarrow 8}\left(\frac{1}{7} x+6\right)=\frac{50}{7}$ by finding $\delta$ in terms of $\varepsilon$ .

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Problem 14025

Find $\delta$ for $f(x)=x^{\frac{2}{3}}$ as $x \to 1$ with $\varepsilon=0.001$ such that $|f(x)-L|<\varepsilon$ .

See Solution

Problem 14026

Simplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

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Problem 14027

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

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Problem 14028

Prove that $\lim _{x \rightarrow 6}\left(\frac{1}{7} x-9\right)=-\frac{57}{7}$ by finding $\delta$ for any $\varepsilon>0$ .

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Problem 14029

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

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Problem 14030

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

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Problem 14031

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

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Problem 14032

Find the corner points for the inequalities: $x + y \geq 1$ , $x \leq 2$ , $y \leq 4$ , $x \geq 0$ , $y \geq 0$ .

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Problem 14033

Solve for $\mathrm{x}$ and $\mathrm{y}$ using substitution or elimination from these equations: $5x + 1 = y + 5$ and $10x + 8 = 1 - 3y$ .

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Problem 14034

Solve the proportion $\frac{x}{8}=\frac{3}{4}$ using cross multiplication. What is $x$ ? a. $4$ b. $6$ c. $24$ d. $32$

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Problem 14035

Minimize $c=x+2y$ given the constraints: $x+4y \geq 23$ , $6x+y \geq 23$ , $x \geq 0$ , $y \geq 0$ .

See Solution

Problem 14036

Minimize $c=x+2y$ with constraints: $x+4y \geq 23$ , $6x+y \geq 23$ , $x \geq 0$ , $y \geq 0$ .

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Problem 14037

Solve the system of equations: $3x + 5y = 1$ and $-x - \frac{5}{3}y = -\frac{1}{3}$ .

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Problem 14038

Solve the proportion by cross multiplying: $\frac{21-x}{x}=\frac{2}{1}$ . Choose $x$ : a. 21 b. 14 c. 7 d. 1

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Problem 14039

Calculate the average rate of change of $f(x) = -2x + 17$ from $x_1 = 0$ to $x_2 = 3$ .

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Problem 14040

Calculate the average rate of change of $f(x) = x^2 - 2x + 8$ from $x_1 = 1$ to $x_2 = 4$ .

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Problem 14041

Find the zeros of the function: $f(x)=\sqrt{5 x+4}$ . Enter your answers as a comma-separated list.

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Problem 14042

Triangle XYZ is similar to Triangle TUV.

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Problem 14043

Find the zeros of the function $f(x)=7x^{2}+54x-16$ . List your answers as a comma-separated list.

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Problem 14044

Find the zeros of the function $f(x)=-25 x^{4}+4 x^{2}$ . Enter answers as a comma-separated list.

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Problem 14045

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

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Problem 14046

Find the zeros of the function $f(x)=17-3x$ . Enter answers as a comma-separated list.

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Problem 14047

Solve the equation $-18 x + 9 y = 81$ for the variable $y$ .

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Problem 14048

Solve for $y$ in the equation: $-18 x + 9 y = 81$ .

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Problem 14049

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

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Problem 14050

Solve for 'x' and 'y' in the equation $9x + 3y = 21$ .

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Problem 14051

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

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Problem 14052

If $f(-4)=8$ , what point $(x, y)$ is on the graph of $y=f(x)$ ? Explain your reasoning.

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Problem 14053

What is the molecular formula for the empirical formula $\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}_{3}$ with a scale factor of 2? A. $\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}_{3}$ B. $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{O}_{2}$ C. $\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}$

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Problem 14054

Solve the equation $y + 4 = -\frac{2}{6}(x - 6)$ .

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Problem 14055

Solve the equation $y + 9 = -\frac{5}{2}(x - 2)$ .

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Problem 14056

Solve the inequality: $-5(x-6) \leq 3(x+2)$ .

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Problem 14057

Calculate $1,241 - 589$ .

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Problem 14058

Is $f=\{(a, 0),(c, 12),(d, 18),(b, 12)\}$ a function from $A=\{a, b, c, d\}$ ? Explain your answer.

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Problem 14059

Determine if the following equations express $y$ as a function of $x$ :
1. $x^{2}+y^{2}=25 \quad[\text { Select }]$
2. $2 x+3 y=10 \quad[\text { Select }]$
3. $x=y^{2}-25 \quad[\text { Select }]$

See Solution

Problem 14060

Find the domain and range of $f(x)=|3+3x|$ as intervals using parentheses and brackets.

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Problem 14061

Express the interval $[-17,17]$ as an absolute value inequality for variable $x$ .

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Problem 14062

Find the set $S=\{x:|x^{2}-6|>7\}$ as a union of intervals.

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Problem 14063

Find the distance $d$ between the points $(-5,-5)$ and $(7,5)$ in a 2D plane. Provide an exact answer.

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Problem 14064

Solve the equation $5 z = -40$ for $z$ . What is the value of $z$ ?

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Problem 14065

Find the value of $y$ in the equation $4y = 16$ .

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Problem 14066

Solve for $t$ in the equation $\frac{t}{-8}=-3$ .

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Problem 14067

Solve $7w=7$ for $w$ .

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Problem 14068

Solve the equation: $8t + 5 = 77$ .

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Problem 14069

Solve for $x$ in the equation $\frac{x}{17}+18=3$ .

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Problem 14070

Identify if the transformation $H(x, y) \rightarrow (2x, 5y)$ is a stretch or dilation.

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Problem 14071

Solve for $r$ in the equation $-\frac{1}{7} r + 7 = 10$ .

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Problem 14072

Determine if the transformation $L(x, y) \to (0.3x, 2y)$ is a stretch or dilation.

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Problem 14073

Find the lengths after dilating points A and B from center O with a scale factor of 3: OA=3, OB=5, AB=4. OA'=?

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Problem 14074

Find the radius $r$ of a sphere using the volume formula $V=\frac{4}{3} \pi r^{3}$ .

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Problem 14075

Solve the proportion using cross products: $\frac{3}{4}=\frac{9}{x-7}$ . What is $x$ ?

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Problem 14076

Solve for $r$ in the cylinder volume formula $V=\pi r^{2} h$ .

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Problem 14077

Simplify: $\sqrt{125}=$

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Problem 14078

Simplify: $\sqrt{32}=$

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Problem 14079

Define the function $f(x)=4 \operatorname{int}(x)$ . Find its domain, intercepts, graph, range, and check continuity.

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Problem 14080

Simplify $\sqrt{405}$ into the format $a \sqrt{b}$ . What is $\sqrt{405}=$ ?

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Problem 14081

Pentagon ABCDE is similar to Pentagon RYMNT. Find the missing side: $\frac{A B}{B C}=\frac{R Y}{\square}$ . Options: A E, ER, TN, YM.

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Problem 14082

Solve the proportion using cross products: $\frac{3}{4}=\frac{9}{x-7}$ . Find $x$ .

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Problem 14083

Simplify $\sqrt{12}$ to the form $a \sqrt{b}$ . What is the result?

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Problem 14084

Simplify $\sqrt{45}$ into the form $a \sqrt{b}$ . What is the result?

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Problem 14085

If $\triangle \mathrm{AFG} \sim \triangle \mathrm{DRH}$ , find the missing value in $\frac{D R}{A F}=\frac{D H}{\square}$ . Choices: HD, AH, AG.

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Problem 14086

Is rotation a similarity transformation? Answer True or False.

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Problem 14087

Dilation is a non-isometric transformation. True or False?

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Problem 14088

Solve for $h$ in the cone volume formula: $V=\frac{1}{3} \pi r^{2} h$ .

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Problem 14089

Solve for $m$ in the equation $q + x m = \Lambda$ .

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Problem 14090

Find $m \angle E H F$ if $\overrightarrow{H G}$ bisects it, with $m \angle E H G=(15 x-19)^{\circ}$ and $m \angle G H F=(9 x+11)^{\circ}$ .

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Problem 14091

Solve for $b$ in the triangle area formula $A=\frac{1}{2} b h$ .

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Problem 14092

Simplify $\left(\frac{3 x^{3}}{x^{-2}}\right)^{4} \cdot\left(\frac{y^{2} x^{-4}}{5 x y^{-8}}\right)^{3}$ using positive exponents.

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Problem 14093

Solve the inequality $\frac{x-5}{4}+\frac{3-2 x}{3}<-2$ .

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Problem 14094

Solve the inequality $0 \leq 2z + 5 < 8$ .

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Problem 14095

Convert $1.459 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{gal}$ .

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Problem 14096

Solve the inequality: $\frac{1}{2}(x-4)-2 x \leq 5(3-x)$ .

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Problem 14097

Convert $7 \mathrm{ft}$ to $\mathrm{cm}$ and express the result as a multiple of $10^{2} \mathrm{cm}$ .

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Problem 14098

Convert $64 \mathrm{ft/s}$ to $\mathrm{cm/min}$ and express your answer in scientific notation.

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Problem 14099

Solve the inequality: $\frac{2 y-3}{2}+\frac{3 y-1}{5}<y-1$

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Problem 14100

Solve the equation: $x + 5 = 4\left(\frac{x}{7} + 5\right)$ .

See Solution

1 ...138 139 140 141 142 143 144 ...270

Math Statement

Problem 14001

Calculate 0.5000/3.40.5000 / 3.40.5000/3.4 and provide the answer with the correct significant figures.

Problem 14002

Find the limit as ttt approaches 0 from the right of log⁡(t)\log(t)log(t).

Problem 14003

Calculate 4+[2−(8+9)]4+[2-(8+9)]4+[2−(8+9)] using the order of operations. Choose A or B for your answer.

Problem 14004

Find the limit: lim⁡t→0−ln⁡(−t)\lim _{t \rightarrow 0^{-}} \ln (-t)limt→0−​ln(−t)

Problem 14005

Calculate the limit: lim⁡t→5+ln⁡(t−5)\lim _{t \rightarrow 5^{+}} \ln (t-5)limt→5+​ln(t−5).

Problem 14006

Find how many standard deviations above the mean a person with a 1Q1 \mathrm{Q}1Q of 130 scores.

Problem 14007

Find the largest δ\deltaδ for ε=0.2\varepsilon=0.2ε=0.2 and ε=0.1\varepsilon=0.1ε=0.1 in the limit lim⁡x→2(x3−5x+5)=3\lim _{x \rightarrow 2}(x^{3}-5 x+5)=3limx→2​(x3−5x+5)=3. Round to four decimal places.

Problem 14008

Calculate the sum of 32 and 28. What is 32+2832 + 2832+28?

Problem 14009

Simplify the expression: 11y+−2y−8y−511 y+\frac{-2 y-8 y}{-5}11y+−5−2y−8y​

Problem 14010

Evaluate the expression 11y+−2y−8y−511y + \frac{-2y - 8y}{-5}11y+−5−2y−8y​ at y=−5y = -5y=−5 and simplify.

Problem 14011

Simplify the expression: −3x−x2+9x\frac{-3 x - x}{2} + 9 x2−3x−x​+9x

Problem 14012

Evaluate the expression −2x−y−5-2x - y - 5−2x−y−5 for x=−2x = -2x=−2 and y=−3y = -3y=−3, then simplify the result.

Problem 14013

Simplify the expression: −2(4x+3)+(3y+3)-2(4 x+3)+(3 y+3)−2(4x+3)+(3y+3).

Problem 14014

Evaluate the expression 6x2+6y2−56 x^{2}+6 y^{2}-56x2+6y2−5 at x=3,y=−4x=3, y=-4x=3,y=−4 and simplify.

Problem 14015

Solve the system of equations: y2=25y^{2}=25y2=25 and c+3y=10c+3y=10c+3y=10.

Problem 14016

Solve the system of equations: x2+y2=25x^{2}+y^{2}=25x2+y2=25 and 2x+3y=102x+3y=102x+3y=10.

Problem 14017

Simplify the expression: 3(x2+4x+3)+5(x2+3x+2)3\left(x^{2}+4 x+3\right)+5\left(x^{2}+3 x+2\right)3(x2+4x+3)+5(x2+3x+2).

Problem 14018

Determine if these equations express yyy as a function of xxx: x2+y2=25x^{2}+y^{2}=25x2+y2=25, 2x+3y=102 x+3 y=102x+3y=10, x=y2−25x=y^{2}-25x=y2−25.

Problem 14019

Evaluate the expression −6x2−5y2+5-6 x^{2}-5 y^{2}+5−6x2−5y2+5 for x=−2x=-2x=−2 and y=−7y=-7y=−7, then simplify.

Problem 14020

Determine if the following relationships express yyy as a function of xxx: 1. x2+y2=25x^{2}+y^{2}=25x2+y2=25 2. 2x+3y=102 x+3 y=102x+3y=10 3. x=y2−25x=y^{2}-25x=y2−25

Problem 14021

Find the sum of 98 and 33: 98+3398 + 3398+33.

Problem 14022

Find δ\deltaδ for ε=0.1\varepsilon=0.1ε=0.1 in the limit: lim⁡x→6−3x−4=−22\lim _{x \rightarrow 6}-3 x-4=-22limx→6​−3x−4=−22.

Problem 14023

Simplify the polynomial −3x−2x2+5+3x2-3x - 2x^2 + 5 + 3x^2−3x−2x2+5+3x2.

Problem 14024

Prove that lim⁡x→8(17x+6)=507\lim _{x \rightarrow 8}\left(\frac{1}{7} x+6\right)=\frac{50}{7}limx→8​(71​x+6)=750​ by finding δ\deltaδ in terms of ε\varepsilonε.

Problem 14025

Find δ\deltaδ for f(x)=x23f(x)=x^{\frac{2}{3}}f(x)=x32​ as x→1x \to 1x→1 with ε=0.001\varepsilon=0.001ε=0.001 such that ∣f(x)−L∣<ε|f(x)-L|<\varepsilon∣f(x)−L∣<ε.

Problem 14026

Simplify the expression by combining like terms: −3x+6x2−9−x2-3x + 6x^2 - 9 - x^2−3x+6x2−9−x2.

Problem 14027

Evaluate (x+y)2−5z(x+y)^{2}-5z(x+y)2−5z at x=−2,y=2,z=4x=-2, y=2, z=4x=−2,y=2,z=4 and simplify.

Problem 14028

Prove that lim⁡x→6(17x−9)=−577\lim _{x \rightarrow 6}\left(\frac{1}{7} x-9\right)=-\frac{57}{7}limx→6​(71​x−9)=−757​ by finding δ\deltaδ for any ε>0\varepsilon>0ε>0.

Problem 14029

Evaluate 6y+−11y−10y76y + \frac{-11y - 10y}{7}6y+7−11y−10y​ at y=4y=4y=4 and simplify.

Problem 14030

Simplify the expression by combining like terms: −2x+3y2−5−2y2+3x+3-2x + 3y^2 - 5 - 2y^2 + 3x + 3−2x+3y2−5−2y2+3x+3.

Problem 14031

Evaluate the expression −0.9x2+4.3x2+3x+4.7x2-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}−0.9x2+4.3x2+3x+4.7x2 at x=2x=2x=2 and simplify.

Problem 14032

Find the corner points for the inequalities: x+y≥1x + y \geq 1x+y≥1, x≤2x \leq 2x≤2, y≤4y \leq 4y≤4, x≥0x \geq 0x≥0, y≥0y \geq 0y≥0.

Problem 14033

Solve for x\mathrm{x}x and y\mathrm{y}y using substitution or elimination from these equations: 5x+1=y+55x + 1 = y + 55x+1=y+5 and 10x+8=1−3y10x + 8 = 1 - 3y10x+8=1−3y.

Problem 14034

Solve the proportion x8=34\frac{x}{8}=\frac{3}{4}8x​=43​ using cross multiplication. What is xxx? a. 444 b. 666 c. 242424 d. 323232

Problem 14035

Minimize c=x+2yc=x+2yc=x+2y given the constraints: x+4y≥23x+4y \geq 23x+4y≥23, 6x+y≥236x+y \geq 236x+y≥23, x≥0x \geq 0x≥0, y≥0y \geq 0y≥0.

Problem 14036

Minimize c=x+2yc=x+2yc=x+2y with constraints: x+4y≥23x+4y \geq 23x+4y≥23, 6x+y≥236x+y \geq 236x+y≥23, x≥0x \geq 0x≥0, y≥0y \geq 0y≥0.

Problem 14037

Solve the system of equations: 3x+5y=13x + 5y = 13x+5y=1 and −x−53y=−13-x - \frac{5}{3}y = -\frac{1}{3}−x−35​y=−31​.

Problem 14038

Solve the proportion by cross multiplying: 21−xx=21\frac{21-x}{x}=\frac{2}{1}x21−x​=12​. Choose xxx: a. 21 b. 14 c. 7 d. 1

Problem 14039

Calculate the average rate of change of f(x)=−2x+17f(x) = -2x + 17f(x)=−2x+17 from x1=0x_1 = 0x1​=0 to x2=3x_2 = 3x2​=3.

Problem 14040

Calculate $0.5000 / 3.4$ and provide the answer with the correct significant figures.

Find the limit as $t$ approaches 0 from the right of $\log(t)$ .

Calculate $4+[2-(8+9)]$ using the order of operations. Choose A or B for your answer.

Find the limit: $\lim _{t \rightarrow 0^{-}} \ln (-t)$

Calculate the limit: $\lim _{t \rightarrow 5^{+}} \ln (t-5)$ .

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

Find the largest $\delta$ for $\varepsilon=0.2$ and $\varepsilon=0.1$ in the limit $\lim _{x \rightarrow 2}(x^{3}-5 x+5)=3$ . Round to four decimal places.

Calculate the sum of 32 and 28. What is $32 + 28$ ?

Simplify the expression: $11 y+\frac{-2 y-8 y}{-5}$

Evaluate the expression $11y + \frac{-2y - 8y}{-5}$ at $y = -5$ and simplify.

Simplify the expression: $\frac{-3 x - x}{2} + 9 x$

Evaluate the expression $-2x - y - 5$ for $x = -2$ and $y = -3$ , then simplify the result.

Simplify the expression: $-2(4 x+3)+(3 y+3)$ .

Evaluate the expression $6 x^{2}+6 y^{2}-5$ at $x=3, y=-4$ and simplify.

Solve the system of equations: $y^{2}=25$ and $c+3y=10$ .

Solve the system of equations: $x^{2}+y^{2}=25$ and $2x+3y=10$ .

Simplify the expression: $3\left(x^{2}+4 x+3\right)+5\left(x^{2}+3 x+2\right)$ .

Determine if these equations express $y$ as a function of $x$ : $x^{2}+y^{2}=25$ , $2 x+3 y=10$ , $x=y^{2}-25$ .

Evaluate the expression $-6 x^{2}-5 y^{2}+5$ for $x=-2$ and $y=-7$ , then simplify.

Determine if the following relationships express $y$ as a function of $x$ :
1. $x^{2}+y^{2}=25$
2. $2 x+3 y=10$
3. $x=y^{2}-25$

Find the sum of 98 and 33: $98 + 33$ .

Find $\delta$ for $\varepsilon=0.1$ in the limit: $\lim _{x \rightarrow 6}-3 x-4=-22$ .

Simplify the polynomial $-3x - 2x^2 + 5 + 3x^2$ .

Prove that $\lim _{x \rightarrow 8}\left(\frac{1}{7} x+6\right)=\frac{50}{7}$ by finding $\delta$ in terms of $\varepsilon$ .

Find $\delta$ for $f(x)=x^{\frac{2}{3}}$ as $x \to 1$ with $\varepsilon=0.001$ such that $|f(x)-L|<\varepsilon$ .

Simplify the expression by combining like terms: $-3x + 6x^2 - 9 - x^2$ .

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

Prove that $\lim _{x \rightarrow 6}\left(\frac{1}{7} x-9\right)=-\frac{57}{7}$ by finding $\delta$ for any $\varepsilon>0$ .

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

Find the corner points for the inequalities: $x + y \geq 1$ , $x \leq 2$ , $y \leq 4$ , $x \geq 0$ , $y \geq 0$ .

Solve for $\mathrm{x}$ and $\mathrm{y}$ using substitution or elimination from these equations: $5x + 1 = y + 5$ and $10x + 8 = 1 - 3y$ .

Solve the proportion $\frac{x}{8}=\frac{3}{4}$ using cross multiplication. What is $x$ ? a. $4$ b. $6$ c. $24$ d. $32$

Minimize $c=x+2y$ given the constraints: $x+4y \geq 23$ , $6x+y \geq 23$ , $x \geq 0$ , $y \geq 0$ .

Minimize $c=x+2y$ with constraints: $x+4y \geq 23$ , $6x+y \geq 23$ , $x \geq 0$ , $y \geq 0$ .

Solve the system of equations: $3x + 5y = 1$ and $-x - \frac{5}{3}y = -\frac{1}{3}$ .

Solve the proportion by cross multiplying: $\frac{21-x}{x}=\frac{2}{1}$ . Choose $x$ : a. 21 b. 14 c. 7 d. 1

Calculate the average rate of change of $f(x) = -2x + 17$ from $x_1 = 0$ to $x_2 = 3$ .

Calculate the average rate of change of $f(x) = x^2 - 2x + 8$ from $x_1 = 1$ to $x_2 = 4$ .

Find the zeros of the function: $f(x)=\sqrt{5 x+4}$ . Enter your answers as a comma-separated list.

Find the zeros of the function $f(x)=7x^{2}+54x-16$ . List your answers as a comma-separated list.

Find the zeros of the function $f(x)=-25 x^{4}+4 x^{2}$ . Enter answers as a comma-separated list.

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

Find the zeros of the function $f(x)=17-3x$ . Enter answers as a comma-separated list.

Solve the equation $-18 x + 9 y = 81$ for the variable $y$ .

Solve for $y$ in the equation: $-18 x + 9 y = 81$ .

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

Solve for 'x' and 'y' in the equation $9x + 3y = 21$ .

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

If $f(-4)=8$ , what point $(x, y)$ is on the graph of $y=f(x)$ ? Explain your reasoning.

Solve the equation $y + 4 = -\frac{2}{6}(x - 6)$ .

Solve the equation $y + 9 = -\frac{5}{2}(x - 2)$ .

Solve the inequality: $-5(x-6) \leq 3(x+2)$ .

Calculate $1,241 - 589$ .

Is $f=\{(a, 0),(c, 12),(d, 18),(b, 12)\}$ a function from $A=\{a, b, c, d\}$ ? Explain your answer.

Determine if the following equations express $y$ as a function of $x$ :
1. $x^{2}+y^{2}=25 \quad[\text { Select }]$
2. $2 x+3 y=10 \quad[\text { Select }]$
3. $x=y^{2}-25 \quad[\text { Select }]$

Find the domain and range of $f(x)=|3+3x|$ as intervals using parentheses and brackets.

Express the interval $[-17,17]$ as an absolute value inequality for variable $x$ .

Find the set $S=\{x:|x^{2}-6|>7\}$ as a union of intervals.

Find the distance $d$ between the points $(-5,-5)$ and $(7,5)$ in a 2D plane. Provide an exact answer.

Solve the equation $5 z = -40$ for $z$ . What is the value of $z$ ?

Find the value of $y$ in the equation $4y = 16$ .

Solve for $t$ in the equation $\frac{t}{-8}=-3$ .

Solve $7w=7$ for $w$ .

Solve the equation: $8t + 5 = 77$ .

Solve for $x$ in the equation $\frac{x}{17}+18=3$ .

Identify if the transformation $H(x, y) \rightarrow (2x, 5y)$ is a stretch or dilation.

Solve for $r$ in the equation $-\frac{1}{7} r + 7 = 10$ .

Determine if the transformation $L(x, y) \to (0.3x, 2y)$ is a stretch or dilation.

Find the radius $r$ of a sphere using the volume formula $V=\frac{4}{3} \pi r^{3}$ .