Browse Algebra problems in the Studdy Learning Bank!

Problem 4301

Is the point $(1,5)$ a solution to the linear equation $y=7x$ ?

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Problem 4302

Match equations to their opposite operations: 1. $x+5=12$ (Subtract 5), 2. $x-5=12$ (Add 5), 3. $5 x=12$ (Divide by 5), 4. $\frac{x}{5}=12$ (Multiply by 5).

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Problem 4303

Match and pair like terms: $2 y^{3} z$ with $5 y^{3} z$ , $10 x^{2}$ with $-3 x^{2}$ , $-9 x$ with $\frac{5}{4} x$ , $2.7 y z^{3}$ with $-6 y z^{3}$ .

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Problem 4304

Find the number x where 4x-3=29. Determine the correct equation: $4x-3=29$ .

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Problem 4305

Solve the linear equation $7-6v = -5-8v$ for the unknown variable $v$ .

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Problem 4306

Find possible roots of a polynomial $h(x)$ with leading coefficient -11 and constant term 1 using the Rational Root Theorem. Options: $-\frac{3}{10}$ , $-\frac{3}{4}$ , $\frac{7}{4}$ , $\frac{1}{11}$ .

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Problem 4307

Find all real roots of the cubic polynomial $g(x) = 7x^3 - 27x^2 + 3x + 1$ .

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Problem 4308

Find the linear equation equivalent to $3x - 4y = 6$ .

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Problem 4309

Find the solutions to the equation $-2|6x+24|-30=-42$ .

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Problem 4310

Find the value of $y$ given the linear equation $Ax + By = C$ .

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Problem 4311

Determine if $4x + 4y = -8$ represents a function.

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Problem 4312

Determine if the point $(-3,1)$ satisfies the linear equation $y = -4x$ .

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Problem 4313

Solve the system of linear inequalities: $10 t - 4 < 2 t$ , $0.5 < t < 2$ .

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Problem 4314

Find the value of $x$ when $y=15$ in the equation $\frac{1}{5} x - \frac{2}{3} y = 30$ .

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Problem 4315

Find the correct equation for $w$ given the perimeter formula $P=2(l+w)$ .
Simplified problem statement: Find the correct equation for $w$ given $P=2(l+w)$ . $w=\frac{P-l}{2}$ , $w=\frac{P}{2}-l$ , $w=P-2 l$ , $w=\frac{P}{2 l}$

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Problem 4316

Rewrite the equation $3x^2 + x = -4x + 5$ in standard form.

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Problem 4317

Solve the equation $9(3x + 9) = 14 - (x + 3)$ . The solution set is a single integer or fraction.

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Problem 4318

Solve for $x$ in the equation $3x - 4 = 5x + 7$ .

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Problem 4319

Which equation is equivalent to $3x-4=5x+7$ ? Options: $-4=2x+7$ , $8x-4=7$ , $6x=3$ , $3=2x$

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Problem 4320

Solve for $b$ in the equation $10(1+3b) = -20$ .

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Problem 4321

Solve for $x$ : $(x-8)(3x-7)=0$ . Find the values of $x$ that satisfy the equation.

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Problem 4322

Find the set of real solutions for the inequality $-5|x-3|-5<15$ .

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Problem 4323

Solve for $u$ in the equation $-4u+7=-10u+37$ . Simplify the solution to $u=\square$ .

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Problem 4324

Solve for variable $t$ in the quadratic equation $(2 t-4)(t+3)=0$ . The solutions are $t=-2, -4, 4, -3$ .

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Problem 4325

Find the operator that makes the equation $42-(6 \, ? \, 6) = 6$ true.

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Problem 4326

Solve the system of linear equations: $2w - x = 5$ and $4w = 2x + 10$ .

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Problem 4327

Identify the like terms in $6x + 7y - 5y$ . The like terms are $6x$ and $7y, 5y$ .

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Problem 4328

Complete the square for the equation $x^2 + 22x + 4 = 13$ . What number should be added to both sides?

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Problem 4329

Solve the inequality $-2x \geq 12$ and find the value of $x$ .

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Problem 4330

Find the solutions to the absolute value equation $|x| = 9$ . Enter the solutions in the boxes.

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Problem 4331

Find the square root value closest to 4.

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Problem 4332

Solve the equation $-0.16x - 9.3 = 1.98$ to find the value of $x$ .

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Problem 4333

Solve the linear equation $4-7x=-3$ for the unknown variable $x$ .

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Problem 4334

Solve for $x$ where $2(x+4)=8$ . Options: (A) $x=0$ , (B) $x=1$ , (C) $x=2$ , (D) $x=-2$ .

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Problem 4335

Expand the expression $-\frac{5}{6}(9b - 12)$ to simplify the algebraic expression.

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Problem 4336

Solve for $n$ in the equation ${ }_{n+2} P_{4}=30 \times{ }_{n} P_{2}$ using algebraic methods.

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Problem 4337

Solve the equation $-\frac{1}{2}(x+10)=-3$ and identify the first operation to perform.

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Problem 4338

Find the value of $-2(x+5)$ . Options: (A) $x+10$ , (B) $-2x-10$ , (C) $-2x-2$ , (D) $x-10$ .

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Problem 4339

Solve the equation $72=12(2y+2)$ to find the value of $y$ .

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Problem 4340

Find the equation that represents the situation where a number $n$ subtracted from -5 equals -7.

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Problem 4341

Find the multistep linear equation that represents the given model with $x$ values of $1$ , $3$ , $9$ , and $-1$ .

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Problem 4342

Solve for $n$ in $5.6(n+1.42)=7.8$ . What is the second step? (1 point)

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Problem 4343

Solve for $s$ where $-284 > s - 255$ .

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Problem 4344

Solve for $x$ in the equation $-6.29(x+7.85)=-19.499$ .

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Problem 4345

Find the value(s) of $u$ that satisfy the equation $6u = 8u - 20$ .

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Problem 4346

Find the value of $x$ in the equation $-2x + 1 = 4(x + 3)$ .

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Problem 4347

Simplify the polynomial $2 x^{2} y+3 x y^{2}-3 x y+4 x^{2} y+y^{2}-5 x y^{2}$ , then evaluate for $x=1$ and $y=-2$ .

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Problem 4348

Determine if $3 \sqrt{2} x + 5$ is an expression, equation, or inequality.

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Problem 4349

Solve for $g$ where $-79g < -869$ .

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Problem 4350

Find the real 5th roots of $-243$ . Provide the solutions separated by commas in simplified form.

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Problem 4351

Find the value of $u$ that satisfies the equation $12=-2(u-6)-3u$ . The solutions are $u=0$ and $u=1$ .

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Problem 4352

When dividing two rational expressions, flip the second fraction and change division to multiplication.

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Problem 4353

Simplify the complex fraction: $\frac{\frac{1}{y+2}-\frac{1}{y-2}}{1+\frac{4}{y^{2}-4}}$ . Options: A. $-\frac{4}{y}$ , B. $-\frac{2}{y}$ , C. $-\frac{4}{y^{2}}$ , D. $-\frac{2}{y^{2}}$ .

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Problem 4354

Determine if the point $(2,2)$ satisfies the inequality $y \leq 3x - 5$ .

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Problem 4355

Find the value of $20-3n$ when $n=5$ .

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Problem 4356

Solve for $x$ in the equation $(3 \times 3)(5-3)(6+2)=x^{2}$ .

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Problem 4357

Match each linear equation to its solution: $6(x-\frac{2}{3})=2(3x-2)$ has $x=0$ , $6(x-\frac{2}{3})=2(2x-2)$ has $x=4$ , $6(x-\frac{2}{3})=2(3x+2)$ has no solution, $6(x-\frac{2}{3})=2(2x+2)$ has infinitely many solutions.

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Problem 4358

Find the value of $y$ that makes $\sqrt[4]{80 m}(\sqrt[5]{80 m})^{3}$ equivalent to $(80 m)^{40 y}$ , where $m>1$ .

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Problem 4359

The stock price dropped $3 per day for 5 days. What is the TOTAL CHANGE in the stock price?

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Problem 4360

Find the value of $x$ that satisfies the equation $-90 = -100 + x$ .

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Problem 4361

Identify equations where x is the input and y is the output: $y=2x$ , $x=2y$ .

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Problem 4362

Solve the inequality $x \leq -2x + 18$ . Simplify the steps to find the solution.

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Problem 4363

Find the range of the set of ordered pairs: $\{(-1,7),(6,2),(0,4),(5,2),(-3,1)\}$ . The range is the set of unique second coordinates.

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Problem 4364

Find the value of $(3m + 2)(m^2 + 1)$ given $g(x) = 3x + 2$ and $h(x) = x^2 + 1$ .

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Problem 4365

Solve $|3x| + 5 = 19$ and select the correct solution set.

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Problem 4366

Find the value of $x$ that satisfies the equation $3^{x}=243$ .

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Problem 4367

Solve one-step equations without cross-multiplying: (a) $7x=84$ , (b) $\frac{x}{3}=15$ , (c) $\frac{x}{9}=\frac{2}{3}$ .

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Problem 4368

Penny solved an equation by subtracting 6 and dividing by 5. Which of these could have been the original equation? $5 x-6=9$

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Problem 4369

Solve the linear equation $3(x-2)+7x=\frac{1}{2}(6x-2)$ and find the number of solutions.

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Problem 4370

Solve the equation $2x+2=8$ by undoing the +2 operation.

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Problem 4371

Find the product of $800.5$ and $2 \times 10^{6}$ .

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Problem 4372

Simplify the given polynomial and determine the equivalent quadratic function.
$2+7c-4c^2-3c+4$

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Problem 4373

Encontrar los valores de $w$ tales que el producto de $w$ y 4 sea menor que -27.

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Problem 4374

Solve for $W$ where $\frac{W}{6}=g$ and $W=$

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Problem 4375

Solve the given quadratic inequalities: $x^{2}+4 x-5>0$ , $x^{2}-2 x-3 \geq 0$ , $x^{2}-1<0$ , $17 x^{2}+15 x-2 \geq 0$ , $4 x^{2}+20 x-11<0$ , $12 x^{2}+10 x-12>0$ .

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Problem 4376

Find the value of $x$ where $x$ divided by 3 is 8 less than $x$ .

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Problem 4377

Find the solution to the simultaneous equations $y = 2x + 1$ and $y = 10 - x$ by plotting the lines on a graph.

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Problem 4378

Solve the linear equation $\frac{-3 x}{5}=\frac{-2 x}{3}+\frac{4}{3}$ for variable $x$ .

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Problem 4379

Solve the exponential equation $3(1.031)^{x-1987} = 5$ . Express irrational solutions as decimals correct to the nearest thousandth.

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Problem 4380

Solve a system of linear equations using elimination method. Explain why the initial system $A$ and the intermediate system $B$ have the same solution set.
$A: \frac{5}{3} x + 5 y = 11, \frac{5}{7} x - 2 y = 1$ $B: 5 x + 15 y = 33, 5 x - 14 y = 7$

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Problem 4381

Divide 24 children into 3 equal groups. Which expression shows this? $24 \div 3$

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Problem 4382

Find the value of $x$ that satisfies the equation $\sqrt{64} = x$ .

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Problem 4383

Solve for $x$ in the equation $-2.4(x+1.4)=6.8x-22.68$ [Show all work].

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Problem 4384

Sammie rewrote $2 + (5 + 3)$ as $(2 + 3) + 5$ . Explain Sammie's mistake in using the associative property.

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Problem 4385

Solve the equation $x + 9.8 = 14.2$ using algebraic properties.

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Problem 4386

What is the value of $-(-7)$ according to the Double-Negative Property? $-\frac{1}{7}$ , 7, $-7$ , $\frac{1}{7}$

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Problem 4387

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

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Problem 4388

Find the value of y that satisfies the equation $3y - 7 = 2y - 0.5$ .

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Problem 4389

Solve the cubic equation $x^{3}=27$ and select the correct solution(s).

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Problem 4390

Write a system of equations to solve for the number of scarves each woman will complete and the number of days it will take. $Nora: 10 + 4x = y$ , $Danielle: 5x = y$ , where $x$ is the number of days and $y$ is the number of scarves completed by each woman.

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Problem 4391

Select all sentences that can be represented by $4 \times 8=v$ . 4 times as many as 8 is $v$ . Linda had 8 violets, Carrie had $v$ violets, 4 times as many.

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Problem 4392

Calculate the value of the expression $\frac{8 x-2 y}{10 x y}$ when $x=4$ and $y=-7$ .

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Problem 4393

Find the value of $a$ if $a + 3a/7 = 1/7$ . Options: a) $1/7$ , b) 10, c) $-1/10$ , d) $1/10$ .

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Problem 4394

Solve the linear equation $8+\frac{x}{2}=\frac{1}{4}(x-4)-1$ and select the correct solution.

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Problem 4395

Find the expression equivalent to "the quotient of 15 and $a$ ". Options: $\frac{15}{a}$ , $\frac{a}{15}$ , $15a$

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Problem 4396

Solve the system of linear equations: $x-3y=-3$ and $3y=x+3$ .

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Problem 4397

Simplify the expression $3x^{3} - 27x$ .

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Problem 4398

Solve for all $\mathrm{x}$ in $(x-6)^{2}=1$ in simplest form.

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Problem 4399

Simplify $\sqrt[3]{-8} \cdot(-2)$ to an integer.

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Problem 4400

Find the value of $k$ given that $\frac{k}{2} = 7.3$ .

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Algebra

Problem 4301

Is the point (1,5)(1,5)(1,5) a solution to the linear equation y=7xy=7xy=7x?

Problem 4302

Match equations to their opposite operations: 1. x+5=12x+5=12x+5=12 (Subtract 5), 2. x−5=12x-5=12x−5=12 (Add 5), 3. 5x=125 x=125x=12 (Divide by 5), 4. x5=12\frac{x}{5}=125x​=12 (Multiply by 5).

Problem 4303

Match and pair like terms: 2y3z2 y^{3} z2y3z with 5y3z5 y^{3} z5y3z, 10x210 x^{2}10x2 with −3x2-3 x^{2}−3x2, −9x-9 x−9x with 54x\frac{5}{4} x45​x, 2.7yz32.7 y z^{3}2.7yz3 with −6yz3-6 y z^{3}−6yz3.

Problem 4304

Find the number x where 4x-3=29. Determine the correct equation: 4x−3=294x-3=294x−3=29.

Problem 4305

Solve the linear equation 7−6v=−5−8v7-6v = -5-8v7−6v=−5−8v for the unknown variable vvv.

Problem 4306

Find possible roots of a polynomial h(x)h(x)h(x) with leading coefficient -11 and constant term 1 using the Rational Root Theorem. Options: −310-\frac{3}{10}−103​, −34-\frac{3}{4}−43​, 74\frac{7}{4}47​, 111\frac{1}{11}111​.

Problem 4307

Find all real roots of the cubic polynomial g(x)=7x3−27x2+3x+1g(x) = 7x^3 - 27x^2 + 3x + 1g(x)=7x3−27x2+3x+1.

Problem 4308

Find the linear equation equivalent to 3x−4y=63x - 4y = 63x−4y=6.

Problem 4309

Find the solutions to the equation −2∣6x+24∣−30=−42-2|6x+24|-30=-42−2∣6x+24∣−30=−42.

Problem 4310

Find the value of yyy given the linear equation Ax+By=CAx + By = CAx+By=C.

Problem 4311

Determine if 4x+4y=−84x + 4y = -84x+4y=−8 represents a function.

Problem 4312

Determine if the point (−3,1)(-3,1)(−3,1) satisfies the linear equation y=−4xy = -4xy=−4x.

Problem 4313

Solve the system of linear inequalities: 10t−4<2t10 t - 4 < 2 t10t−4<2t, 0.5<t<20.5 < t < 20.5<t<2.

Problem 4314

Find the value of xxx when y=15y=15y=15 in the equation 15x−23y=30\frac{1}{5} x - \frac{2}{3} y = 3051​x−32​y=30.

Problem 4315

Problem 4316

Rewrite the equation 3x2+x=−4x+53x^2 + x = -4x + 53x2+x=−4x+5 in standard form.

Problem 4317

Solve the equation 9(3x+9)=14−(x+3)9(3x + 9) = 14 - (x + 3)9(3x+9)=14−(x+3). The solution set is a single integer or fraction.

Problem 4318

Solve for xxx in the equation 3x−4=5x+73x - 4 = 5x + 73x−4=5x+7.

Problem 4319

Which equation is equivalent to 3x−4=5x+73x-4=5x+73x−4=5x+7? Options: −4=2x+7-4=2x+7−4=2x+7, 8x−4=78x-4=78x−4=7, 6x=36x=36x=3, 3=2x3=2x3=2x

Problem 4320

Solve for bbb in the equation 10(1+3b)=−2010(1+3b) = -2010(1+3b)=−20.

Problem 4321

Solve for xxx: (x−8)(3x−7)=0(x-8)(3x-7)=0(x−8)(3x−7)=0. Find the values of xxx that satisfy the equation.

Problem 4322

Find the set of real solutions for the inequality −5∣x−3∣−5<15-5|x-3|-5<15−5∣x−3∣−5<15.

Problem 4323

Solve for uuu in the equation −4u+7=−10u+37-4u+7=-10u+37−4u+7=−10u+37. Simplify the solution to u=□u=\squareu=□.

Problem 4324

Solve for variable ttt in the quadratic equation (2t−4)(t+3)=0(2 t-4)(t+3)=0(2t−4)(t+3)=0. The solutions are t=−2,−4,4,−3t=-2, -4, 4, -3t=−2,−4,4,−3.

Problem 4325

Find the operator that makes the equation 42−(6 ? 6)=642-(6 \, ? \, 6) = 642−(6?6)=6 true.

Problem 4326

Solve the system of linear equations: 2w−x=52w - x = 52w−x=5 and 4w=2x+104w = 2x + 104w=2x+10.

Problem 4327

Identify the like terms in 6x+7y−5y6x + 7y - 5y6x+7y−5y. The like terms are 6x6x6x and 7y,5y7y, 5y7y,5y.

Problem 4328

Complete the square for the equation x2+22x+4=13x^2 + 22x + 4 = 13x2+22x+4=13. What number should be added to both sides?

Problem 4329

Solve the inequality −2x≥12-2x \geq 12−2x≥12 and find the value of xxx.

Problem 4330

Find the solutions to the absolute value equation ∣x∣=9|x| = 9∣x∣=9. Enter the solutions in the boxes.

Problem 4331

Find the square root value closest to 4.

Problem 4332

Solve the equation −0.16x−9.3=1.98-0.16x - 9.3 = 1.98−0.16x−9.3=1.98 to find the value of xxx.

Problem 4333

Solve the linear equation 4−7x=−34-7x=-34−7x=−3 for the unknown variable xxx.

Problem 4334

Solve for xxx where 2(x+4)=82(x+4)=82(x+4)=8. Options: (A) x=0x=0x=0, (B) x=1x=1x=1, (C) x=2x=2x=2, (D) x=−2x=-2x=−2.

Problem 4335

Expand the expression −56(9b−12)-\frac{5}{6}(9b - 12)−65​(9b−12) to simplify the algebraic expression.

Problem 4336

Solve for nnn in the equation n+2P4=30×nP2{ }_{n+2} P_{4}=30 \times{ }_{n} P_{2}n+2​P4​=30×n​P2​ using algebraic methods.

Problem 4337

Solve the equation −12(x+10)=−3-\frac{1}{2}(x+10)=-3−21​(x+10)=−3 and identify the first operation to perform.

Problem 4338

Find the value of −2(x+5)-2(x+5)−2(x+5). Options: (A) x+10x+10x+10, (B) −2x−10-2x-10−2x−10, (C) −2x−2-2x-2−2x−2, (D) x−10x-10x−10.

Problem 4339

Solve the equation 72=12(2y+2)72=12(2y+2)72=12(2y+2) to find the value of yyy.

Problem 4340

Find the equation that represents the situation where a number nnn subtracted from -5 equals -7.

Is the point $(1,5)$ a solution to the linear equation $y=7x$ ?

Match equations to their opposite operations: 1. $x+5=12$ (Subtract 5), 2. $x-5=12$ (Add 5), 3. $5 x=12$ (Divide by 5), 4. $\frac{x}{5}=12$ (Multiply by 5).

Match and pair like terms: $2 y^{3} z$ with $5 y^{3} z$ , $10 x^{2}$ with $-3 x^{2}$ , $-9 x$ with $\frac{5}{4} x$ , $2.7 y z^{3}$ with $-6 y z^{3}$ .

Find the number x where 4x-3=29. Determine the correct equation: $4x-3=29$ .

Solve the linear equation $7-6v = -5-8v$ for the unknown variable $v$ .

Find possible roots of a polynomial $h(x)$ with leading coefficient -11 and constant term 1 using the Rational Root Theorem. Options: $-\frac{3}{10}$ , $-\frac{3}{4}$ , $\frac{7}{4}$ , $\frac{1}{11}$ .

Find all real roots of the cubic polynomial $g(x) = 7x^3 - 27x^2 + 3x + 1$ .

Find the linear equation equivalent to $3x - 4y = 6$ .

Find the solutions to the equation $-2|6x+24|-30=-42$ .

Find the value of $y$ given the linear equation $Ax + By = C$ .

Determine if $4x + 4y = -8$ represents a function.

Determine if the point $(-3,1)$ satisfies the linear equation $y = -4x$ .

Solve the system of linear inequalities: $10 t - 4 < 2 t$ , $0.5 < t < 2$ .

Find the value of $x$ when $y=15$ in the equation $\frac{1}{5} x - \frac{2}{3} y = 30$ .

Rewrite the equation $3x^2 + x = -4x + 5$ in standard form.

Solve the equation $9(3x + 9) = 14 - (x + 3)$ . The solution set is a single integer or fraction.

Solve for $x$ in the equation $3x - 4 = 5x + 7$ .

Which equation is equivalent to $3x-4=5x+7$ ? Options: $-4=2x+7$ , $8x-4=7$ , $6x=3$ , $3=2x$

Solve for $b$ in the equation $10(1+3b) = -20$ .

Solve for $x$ : $(x-8)(3x-7)=0$ . Find the values of $x$ that satisfy the equation.

Find the set of real solutions for the inequality $-5|x-3|-5<15$ .

Solve for $u$ in the equation $-4u+7=-10u+37$ . Simplify the solution to $u=\square$ .

Solve for variable $t$ in the quadratic equation $(2 t-4)(t+3)=0$ . The solutions are $t=-2, -4, 4, -3$ .

Find the operator that makes the equation $42-(6 \, ? \, 6) = 6$ true.

Solve the system of linear equations: $2w - x = 5$ and $4w = 2x + 10$ .

Identify the like terms in $6x + 7y - 5y$ . The like terms are $6x$ and $7y, 5y$ .

Complete the square for the equation $x^2 + 22x + 4 = 13$ . What number should be added to both sides?

Solve the inequality $-2x \geq 12$ and find the value of $x$ .

Find the solutions to the absolute value equation $|x| = 9$ . Enter the solutions in the boxes.

Solve the equation $-0.16x - 9.3 = 1.98$ to find the value of $x$ .

Solve the linear equation $4-7x=-3$ for the unknown variable $x$ .

Solve for $x$ where $2(x+4)=8$ . Options: (A) $x=0$ , (B) $x=1$ , (C) $x=2$ , (D) $x=-2$ .

Expand the expression $-\frac{5}{6}(9b - 12)$ to simplify the algebraic expression.

Solve for $n$ in the equation ${ }_{n+2} P_{4}=30 \times{ }_{n} P_{2}$ using algebraic methods.

Solve the equation $-\frac{1}{2}(x+10)=-3$ and identify the first operation to perform.

Find the value of $-2(x+5)$ . Options: (A) $x+10$ , (B) $-2x-10$ , (C) $-2x-2$ , (D) $x-10$ .

Solve the equation $72=12(2y+2)$ to find the value of $y$ .

Find the equation that represents the situation where a number $n$ subtracted from -5 equals -7.

Find the multistep linear equation that represents the given model with $x$ values of $1$ , $3$ , $9$ , and $-1$ .

Solve for $n$ in $5.6(n+1.42)=7.8$ . What is the second step? (1 point)

Solve for $s$ where $-284 > s - 255$ .

Solve for $x$ in the equation $-6.29(x+7.85)=-19.499$ .

Find the value(s) of $u$ that satisfy the equation $6u = 8u - 20$ .

Find the value of $x$ in the equation $-2x + 1 = 4(x + 3)$ .

Simplify the polynomial $2 x^{2} y+3 x y^{2}-3 x y+4 x^{2} y+y^{2}-5 x y^{2}$ , then evaluate for $x=1$ and $y=-2$ .

Determine if $3 \sqrt{2} x + 5$ is an expression, equation, or inequality.

Solve for $g$ where $-79g < -869$ .

Find the real 5th roots of $-243$ . Provide the solutions separated by commas in simplified form.

Find the value of $u$ that satisfies the equation $12=-2(u-6)-3u$ . The solutions are $u=0$ and $u=1$ .

Simplify the complex fraction: $\frac{\frac{1}{y+2}-\frac{1}{y-2}}{1+\frac{4}{y^{2}-4}}$ . Options: A. $-\frac{4}{y}$ , B. $-\frac{2}{y}$ , C. $-\frac{4}{y^{2}}$ , D. $-\frac{2}{y^{2}}$ .

Determine if the point $(2,2)$ satisfies the inequality $y \leq 3x - 5$ .

Find the value of $20-3n$ when $n=5$ .

Solve for $x$ in the equation $(3 \times 3)(5-3)(6+2)=x^{2}$ .

Find the value of $y$ that makes $\sqrt[4]{80 m}(\sqrt[5]{80 m})^{3}$ equivalent to $(80 m)^{40 y}$ , where $m>1$ .

Find the value of $x$ that satisfies the equation $-90 = -100 + x$ .

Identify equations where x is the input and y is the output: $y=2x$ , $x=2y$ .

Solve the inequality $x \leq -2x + 18$ . Simplify the steps to find the solution.

Find the range of the set of ordered pairs: $\{(-1,7),(6,2),(0,4),(5,2),(-3,1)\}$ . The range is the set of unique second coordinates.

Find the value of $(3m + 2)(m^2 + 1)$ given $g(x) = 3x + 2$ and $h(x) = x^2 + 1$ .

Solve $|3x| + 5 = 19$ and select the correct solution set.

Find the value of $x$ that satisfies the equation $3^{x}=243$ .

Solve one-step equations without cross-multiplying: (a) $7x=84$ , (b) $\frac{x}{3}=15$ , (c) $\frac{x}{9}=\frac{2}{3}$ .

Penny solved an equation by subtracting 6 and dividing by 5. Which of these could have been the original equation? $5 x-6=9$

Solve the linear equation $3(x-2)+7x=\frac{1}{2}(6x-2)$ and find the number of solutions.

Solve the equation $2x+2=8$ by undoing the +2 operation.

Find the product of $800.5$ and $2 \times 10^{6}$ .

Simplify the given polynomial and determine the equivalent quadratic function.
$2+7c-4c^2-3c+4$

Encontrar los valores de $w$ tales que el producto de $w$ y 4 sea menor que -27.

Solve for $W$ where $\frac{W}{6}=g$ and $W=$