Absolute Value

Problem 401

Determine the number of solutions for the equation $|3w|=12$ : no solution, one solution, or two solutions?

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Problem 402

Solve the equation $4|n|-4=-4$ . How many solutions does it have: none, one, or two?

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Problem 403

Determine the number of solutions for the equation: $-20 = -|s|$ (no solution, one solution, or two solutions).

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Problem 404

Solve for $t$ : $-2|t|=-2$ . Provide answers as integers or simplified fractions. $t=$

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Problem 405

Find the number of solutions for the equation $3=|-u|$ : no solution, one solution, or two solutions?

See Solution

Problem 406

Solve for $f$ :
$-16=-8|-f|$
Provide your answer as an integer or fraction in simplest form.
$f=$

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Problem 407

Solve for $u$ : $|2u| + 8 = 28$ . Provide your answer as an integer or fraction in simplest form.

See Solution

Problem 408

Solve the equation $|\frac{t}{2}|=6$ .

See Solution

Problem 409

Solve the equation $|f|-3=-50$ . How many solutions does it have: none, one, or two?

See Solution

Problem 410

Find the integer or fraction solutions for $t$ in the equation $5=|t-5|$ .

See Solution

Problem 411

Solve the equation $|m+3|=7$ .

See Solution

Problem 412

Find the values of $q$ that satisfy the equation $|q-8|=14$ .

See Solution

Problem 413

Solve the equation $|x-1|+5=2$ .

See Solution

Problem 414

Create an absolute value equation with solutions $x=8$ and $x=18$ .

See Solution

Problem 415

Solve the equation $|4n - 15| = |n|$ .

See Solution

Problem 416

Solve |3k - 2| = 2|k + 2|.

See Solution

Problem 417

Solve the inequality: $2|x+4|+8 \geq 18$ .

See Solution

Problem 418

Solve the inequality: $5|x-7|+8 \leq 43$ .

See Solution

Problem 419

Solve the equation $|m+3|=7$ .

See Solution

Problem 420

Solve the inequality $3|x+9|-5 \leq 10$ .

See Solution

Problem 421

Solve the inequality $5|x+6|-2 \geq 28$ .

See Solution

Problem 422

Solve the equation |3k - 2| = 2|k + 2|.

See Solution

Problem 423

Solve the inequality $2|x-7|-4<14$ .

See Solution

Problem 424

Solve the inequality: $-|3 + 3x| - 7 > -16$ .

See Solution

Problem 425

Solve the inequality: $-2|1+2x|-4>-18$ .

See Solution

Problem 426

Solve $|4n - 15| = |n|$ .

See Solution

Problem 427

Solve for $c$ . $9|c+5| \geq 18$
Write a compound inequality like $\mathbf{1}<\mathrm{x}<3$ or like $\mathrm{x}<1$ or $\mathrm{x}>3$ . Use integers, prope fractions, or improper fractions in simplest form. $\square$ \begin{tabular}{|c|c|c|c|} \hline $>$ & $<$ & $\geq$ & $\leq$ \\ \hline $=$ & and & or & Un \\ \hline \end{tabular} Submit

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Problem 428

Solve the absolute value equation or indicate that the equation has no solution. $2|9 x|+3=19$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ B. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution set is the empty set.

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Problem 429

Solve the equation: $-2 + 2|7x - 8| = 8$ . Determine if there are no solutions or infinite solutions.

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Problem 430

Solve the inequality $|3x + 5| < 9$ and express the solution as an interval.

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Problem 431

Solve the inequality $\left|\frac{x+15}{3}\right|>6$ and express the solution as an interval.

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Problem 432

Solve $|3x - 2| = 20$ for $x$ . What are the solutions?

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Problem 433

Solve $|3x + 6| + 4 = 25$ . Find the values of $x$ .

See Solution

Problem 434

Solve $3-7|4 x-4|=-46$ . What are the solutions for $x$ ?

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Problem 435

Solve $|4x + 3| - 5 = 5$ . Find the values of $x$ .

See Solution

Problem 436

Solve the equation $|2x - 2| = 12$ for $x$ . What are the solutions?

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Problem 437

Solve the equation $|\frac{1}{4} x + 8| = \frac{x}{2}$ . What is the solution?

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Problem 438

Sketch the graph of $f(x)=-|x-2|+2$ . Find the max/min value to place your first point. Identify the zeros and $\mathrm{x}$ -intercepts.

See Solution

Problem 439

Find the domain and range of each function, then graph it. (a) $y=2|x|$ (b) $y=|x-2|$

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Problem 440

$2<|03-4|$

See Solution

Problem 441

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is

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Problem 442

Identify the graph as a translation of a basic function, and write the formula for the graph.
Basic function: $y=$ $\square$ Formula for the graph: $y=$ $\square$

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Problem 443

Solve the inequality algebraically. Express your answer using set notation or interval notation. Graph the solution set. Verify your results using a graphing utility. $|7 x|<35$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. The solution is the empty set.
Graph the solution set. Choose the correct graph below. A. B. c. D. E. F.

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Problem 444

Graph the values of $x$ where the function $f(x)=-|2x-1|+1$ is less than -4.

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Problem 445

Solve for $w$ : $|w| + 23 = 14$ . What are the solutions?

See Solution

Problem 446

Find the energy surplus (production - usage) at $80^{\circ} \mathrm{F}$ using $y = -0.5 |x-75| + 90$ and $y = 0.5 |x-75| + 60$ .

See Solution

Problem 447

Solve for $w$ : $|w-4|+10=24$ . If multiple solutions, list them; if none, say "No solution". $w=$

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Problem 448

Solve for $u$ : $|u| - 13 = -6$ . Find $u$ values, if any.

See Solution

Problem 449

Solve for $x$ : $-5|x+5|=0$ . If multiple solutions, separate with commas; if none, say "No solution". $x=$

See Solution

Problem 450

Find $y$ in the equation $-4|3y+2|=68$ . If multiple solutions, list them; otherwise, state "No solution". $y=$

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Problem 451

Graph the solution for the inequality $|w| > 2$ on a number line.

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Problem 452

Graph the solution for the inequality $|u| \leq 4$ on a number line.

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Problem 453

Graph the solution for the inequality $|u-2|<4$ on a number line.

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Problem 454

Solve the inequality $5|v|<45$ . Determine if the solutions are all reals or if there is no solution.

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Problem 455

Solve the inequality $4|u|>20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

See Solution

Problem 456

Solve the inequality: $|u|-24 \leq -13$ . Is the solution all reals or no solution?

See Solution

Problem 457

Solve the inequality: $|u| + 29 \leq 15$ . Are the solutions all real numbers or none?

See Solution

Problem 458

Solve the inequality $3|w| \leq 30$ . Choose "All reals" if true, or "No solution" if false.

See Solution

Problem 459

Solve the inequality $|x| + 12 > 25$ . Choose "All reals" if true, or "No solution" if false.

See Solution

Problem 460

Solve the inequality $|w| + 14 < 19$ . Choose "All reals" or "No solution" if applicable.

See Solution

Problem 461

Solve the inequality $2|u| \geq 20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

See Solution

Problem 462

Solve the inequality $|2x + 12| > 8$ and graph the solution on a number line.

See Solution

Problem 463

Graph the solution of the inequality $|3w - 3| < 9$ on a number line.

See Solution

Problem 464

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is $\qquad$
Single-digit integer (-9 to 9)

See Solution

Problem 465

Solve: $5|x-8|+6<41$ . Choose "All reals" if true, "No solution" if false.

See Solution

Problem 466

Solve the inequality: $|4w - 2| - 5 \leq 9$ . Indicate if solutions are "All reals" or "No solution".

See Solution

Problem 467

Solve $3|x+1|-2=0$

See Solution

Problem 468

Solve the inequality. $|x+8|>1$
Select the correct choice below and, if necessary, fill in the answ A. The solution is $\square$ (Type your answer in interval notation B. The solution set is $\varnothing$ .

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Problem 469

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER
53 What is the absolute value function represented by the graph below? Give your answer in vertex form $(y=a|x-h|+k)$

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Problem 470

CRITICAL THINKING Tell whether the statement is always, sometimes, or never true. The absolute value of a negative number is positive.
The statement is $\square$ always true.
Explain.

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Problem 471

Solve. Select all that apply. $6|4 x-9|-8=52$

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Problem 472

Solve the equation |(4x+1)/(x-1)| = 6. Choose the correct solutions: A. 7/2, 1/2 B. 7,5 C. -2,-10 D. 7/10, 5/2

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Problem 473

Which radical expression simplifies to include absolute value? Options: $\sqrt[3]{64 x^{3}}$ , $\sqrt[3]{-125 x^{3}}$ , $\sqrt[4]{81 x}$ , $\sqrt[4]{16 x^{4}}$ .

See Solution

Problem 474

Graph the function $g(x)=|x|+2$ based on the graph of $f(x)=|x|$ .

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Problem 475

Insert $\varepsilon_{,}>$ , or $=$ in the space: $9 \square |-7|$ to make it true.

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Problem 476

uestion 6 / 23 The distance between a number and zero on a number line is also called A. opposites B. absolute value C. integers D. rational number

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Problem 477

4. La valeur d'une action varie selon la règle: $y=-3|x-4|+16$ où $x$ représente le nombre de mois écoulés depuis l'émission de l'action et $y$ la valeur de l'action. Au cours d'une période d'un an, détermine l'intervalle dans lequel la valeur de l'action a été supérieure à 10 \ $. A)$ [0,2[\cup] 6,12] $B)$ [0,12] $(C)$ ] 2,6[ $D)$ ]-\infty, 2[\cup] 6,+\infty[$

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Problem 478

Find the vertex, axis of symmetry (AOS), domain, range, and transformations of the function $f(x) = 3|x-2|$ .

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Problem 479

18. Solve the following inequality algebraically $|2 x-6|<7$

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Problem 480

How many solutions does the equation have? $|y|-8=6$ no solution one solution two solutions Submit

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Problem 481

ber line represents the solution to the absolute value inequality $|2 x|+6 \geq 16$ ? $\begin{array}{lllll:llllllllllllllll} \\ -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\end{array}$ -10

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Problem 482

Which of these absolute values is the greatest? A. $|140|$ B. $|-104|$ C. $|104|$ D. |-204| Reset Next

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Problem 483

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

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Problem 484

Graph the equation $y=-2|x-1|+6$ and find the $x$ - and $y$ -intercepts. Choose the correct graph.

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1 2 3 4 5

Absolute Value

Problem 401

Determine the number of solutions for the equation ∣3w∣=12|3w|=12∣3w∣=12: no solution, one solution, or two solutions?

Problem 402

Solve the equation 4∣n∣−4=−44|n|-4=-44∣n∣−4=−4. How many solutions does it have: none, one, or two?

Problem 403

Determine the number of solutions for the equation: −20=−∣s∣ -20 = -|s| −20=−∣s∣ (no solution, one solution, or two solutions).

Problem 404

Solve for ttt: −2∣t∣=−2-2|t|=-2−2∣t∣=−2. Provide answers as integers or simplified fractions. t=t=t=

Problem 405

Find the number of solutions for the equation 3=∣−u∣3=|-u|3=∣−u∣: no solution, one solution, or two solutions?

Problem 406

Solve for fff: −16=−8∣−f∣ -16=-8|-f| −16=−8∣−f∣ Provide your answer as an integer or fraction in simplest form. f= f= f=

Problem 407

Solve for uuu: ∣2u∣+8=28|2u| + 8 = 28∣2u∣+8=28. Provide your answer as an integer or fraction in simplest form.

Problem 408

Solve the equation ∣t2∣=6|\frac{t}{2}|=6∣2t​∣=6.

Problem 409

Solve the equation ∣f∣−3=−50|f|-3=-50∣f∣−3=−50. How many solutions does it have: none, one, or two?

Problem 410

Find the integer or fraction solutions for ttt in the equation 5=∣t−5∣5=|t-5|5=∣t−5∣.

Problem 411

Solve the equation ∣m+3∣=7|m+3|=7∣m+3∣=7.

Problem 412

Find the values of qqq that satisfy the equation ∣q−8∣=14|q-8|=14∣q−8∣=14.

Problem 413

Solve the equation ∣x−1∣+5=2|x-1|+5=2∣x−1∣+5=2.

Problem 414

Create an absolute value equation with solutions x=8x=8x=8 and x=18x=18x=18.

Problem 415

Solve the equation ∣4n−15∣=∣n∣|4n - 15| = |n|∣4n−15∣=∣n∣.

Problem 416

Solve |3k - 2| = 2|k + 2|.

Problem 417

Solve the inequality: 2∣x+4∣+8≥182|x+4|+8 \geq 182∣x+4∣+8≥18.

Problem 418

Solve the inequality: 5∣x−7∣+8≤435|x-7|+8 \leq 435∣x−7∣+8≤43.

Problem 419

Solve the equation ∣m+3∣=7|m+3|=7∣m+3∣=7.

Problem 420

Solve the inequality 3∣x+9∣−5≤103|x+9|-5 \leq 103∣x+9∣−5≤10.

Problem 421

Solve the inequality 5∣x+6∣−2≥285|x+6|-2 \geq 285∣x+6∣−2≥28.

Problem 422

Solve the equation |3k - 2| = 2|k + 2|.

Problem 423

Solve the inequality 2∣x−7∣−4<142|x-7|-4<142∣x−7∣−4<14.

Problem 424

Solve the inequality: −∣3+3x∣−7>−16-|3 + 3x| - 7 > -16−∣3+3x∣−7>−16.

Problem 425

Solve the inequality: −2∣1+2x∣−4>−18-2|1+2x|-4>-18−2∣1+2x∣−4>−18.

Problem 426

Solve ∣4n−15∣=∣n∣|4n - 15| = |n|∣4n−15∣=∣n∣.

Problem 427

Problem 428

Problem 429

Solve the equation: −2+2∣7x−8∣=8-2 + 2|7x - 8| = 8−2+2∣7x−8∣=8. Determine if there are no solutions or infinite solutions.

Problem 430

Solve the inequality ∣3x+5∣<9|3x + 5| < 9∣3x+5∣<9 and express the solution as an interval.

Problem 431

Solve the inequality ∣x+153∣>6\left|\frac{x+15}{3}\right|>6∣∣​3x+15​∣∣​>6 and express the solution as an interval.

Problem 432

Solve ∣3x−2∣=20|3x - 2| = 20∣3x−2∣=20 for xxx. What are the solutions?

Problem 433

Solve ∣3x+6∣+4=25|3x + 6| + 4 = 25∣3x+6∣+4=25. Find the values of xxx.

Problem 434

Solve 3−7∣4x−4∣=−463-7|4 x-4|=-463−7∣4x−4∣=−46. What are the solutions for xxx?

Problem 435

Solve ∣4x+3∣−5=5|4x + 3| - 5 = 5∣4x+3∣−5=5. Find the values of xxx.

Problem 436

Solve the equation ∣2x−2∣=12|2x - 2| = 12∣2x−2∣=12 for xxx. What are the solutions?

Problem 437

Solve the equation ∣14x+8∣=x2|\frac{1}{4} x + 8| = \frac{x}{2}∣41​x+8∣=2x​. What is the solution?

Problem 438

Sketch the graph of f(x)=−∣x−2∣+2f(x)=-|x-2|+2f(x)=−∣x−2∣+2. Find the max/min value to place your first point. Identify the zeros and x\mathrm{x}x-intercepts.

Problem 439

Find the domain and range of each function, then graph it. (a) y=2∣x∣y=2|x|y=2∣x∣ (b) y=∣x−2∣y=|x-2|y=∣x−2∣

Problem 440

2<∣03−4∣2<|03-4|2<∣03−4∣

Problem 441

Determine the number of solutions for the equation $|3w|=12$ : no solution, one solution, or two solutions?

Solve the equation $4|n|-4=-4$ . How many solutions does it have: none, one, or two?

Determine the number of solutions for the equation: $-20 = -|s|$ (no solution, one solution, or two solutions).

Solve for $t$ : $-2|t|=-2$ . Provide answers as integers or simplified fractions. $t=$

Find the number of solutions for the equation $3=|-u|$ : no solution, one solution, or two solutions?

Solve for $f$ :
$-16=-8|-f|$
Provide your answer as an integer or fraction in simplest form.
$f=$

Solve for $u$ : $|2u| + 8 = 28$ . Provide your answer as an integer or fraction in simplest form.

Solve the equation $|\frac{t}{2}|=6$ .

Solve the equation $|f|-3=-50$ . How many solutions does it have: none, one, or two?

Find the integer or fraction solutions for $t$ in the equation $5=|t-5|$ .

Solve the equation $|m+3|=7$ .

Find the values of $q$ that satisfy the equation $|q-8|=14$ .

Solve the equation $|x-1|+5=2$ .

Create an absolute value equation with solutions $x=8$ and $x=18$ .

Solve the equation $|4n - 15| = |n|$ .

Solve the inequality: $2|x+4|+8 \geq 18$ .

Solve the inequality: $5|x-7|+8 \leq 43$ .

Solve the equation $|m+3|=7$ .

Solve the inequality $3|x+9|-5 \leq 10$ .

Solve the inequality $5|x+6|-2 \geq 28$ .

Solve the inequality $2|x-7|-4<14$ .

Solve the inequality: $-|3 + 3x| - 7 > -16$ .

Solve the inequality: $-2|1+2x|-4>-18$ .

Solve $|4n - 15| = |n|$ .

Solve the equation: $-2 + 2|7x - 8| = 8$ . Determine if there are no solutions or infinite solutions.

Solve the inequality $|3x + 5| < 9$ and express the solution as an interval.

Solve the inequality $\left|\frac{x+15}{3}\right|>6$ and express the solution as an interval.

Solve $|3x - 2| = 20$ for $x$ . What are the solutions?

Solve $|3x + 6| + 4 = 25$ . Find the values of $x$ .

Solve $3-7|4 x-4|=-46$ . What are the solutions for $x$ ?

Solve $|4x + 3| - 5 = 5$ . Find the values of $x$ .

Solve the equation $|2x - 2| = 12$ for $x$ . What are the solutions?

Solve the equation $|\frac{1}{4} x + 8| = \frac{x}{2}$ . What is the solution?

Sketch the graph of $f(x)=-|x-2|+2$ . Find the max/min value to place your first point. Identify the zeros and $\mathrm{x}$ -intercepts.

Find the domain and range of each function, then graph it. (a) $y=2|x|$ (b) $y=|x-2|$

$2<|03-4|$

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is

Identify the graph as a translation of a basic function, and write the formula for the graph.
Basic function: $y=$ $\square$ Formula for the graph: $y=$ $\square$

Graph the values of $x$ where the function $f(x)=-|2x-1|+1$ is less than -4.

Solve for $w$ : $|w| + 23 = 14$ . What are the solutions?

Find the energy surplus (production - usage) at $80^{\circ} \mathrm{F}$ using $y = -0.5 |x-75| + 90$ and $y = 0.5 |x-75| + 60$ .

Solve for $w$ : $|w-4|+10=24$ . If multiple solutions, list them; if none, say "No solution". $w=$

Solve for $u$ : $|u| - 13 = -6$ . Find $u$ values, if any.

Solve for $x$ : $-5|x+5|=0$ . If multiple solutions, separate with commas; if none, say "No solution". $x=$

Find $y$ in the equation $-4|3y+2|=68$ . If multiple solutions, list them; otherwise, state "No solution". $y=$

Graph the solution for the inequality $|w| > 2$ on a number line.

Graph the solution for the inequality $|u| \leq 4$ on a number line.

Graph the solution for the inequality $|u-2|<4$ on a number line.

Solve the inequality $5|v|<45$ . Determine if the solutions are all reals or if there is no solution.

Solve the inequality $4|u|>20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

Solve the inequality: $|u|-24 \leq -13$ . Is the solution all reals or no solution?

Solve the inequality: $|u| + 29 \leq 15$ . Are the solutions all real numbers or none?

Solve the inequality $3|w| \leq 30$ . Choose "All reals" if true, or "No solution" if false.

Solve the inequality $|x| + 12 > 25$ . Choose "All reals" if true, or "No solution" if false.

Solve the inequality $|w| + 14 < 19$ . Choose "All reals" or "No solution" if applicable.

Solve the inequality $2|u| \geq 20$ . Choose "All reals" if all numbers work, or "No solution" if none do.

Solve the inequality $|2x + 12| > 8$ and graph the solution on a number line.

Graph the solution of the inequality $|3w - 3| < 9$ on a number line.

The smallest natural number which is the solution of the inequality $1 \leq|x-1| \leq 3$ is $\qquad$
Single-digit integer (-9 to 9)

Solve: $5|x-8|+6<41$ . Choose "All reals" if true, "No solution" if false.

Solve the inequality: $|4w - 2| - 5 \leq 9$ . Indicate if solutions are "All reals" or "No solution".

Solve $3|x+1|-2=0$

Solve the inequality. $|x+8|>1$
Select the correct choice below and, if necessary, fill in the answ A. The solution is $\square$ (Type your answer in interval notation B. The solution set is $\varnothing$ .

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER
53 What is the absolute value function represented by the graph below? Give your answer in vertex form $(y=a|x-h|+k)$

CRITICAL THINKING Tell whether the statement is always, sometimes, or never true. The absolute value of a negative number is positive.
The statement is $\square$ always true.
Explain.

Solve. Select all that apply. $6|4 x-9|-8=52$

Which radical expression simplifies to include absolute value? Options: $\sqrt[3]{64 x^{3}}$ , $\sqrt[3]{-125 x^{3}}$ , $\sqrt[4]{81 x}$ , $\sqrt[4]{16 x^{4}}$ .

Graph the function $g(x)=|x|+2$ based on the graph of $f(x)=|x|$ .