Browse Algebra problems in the Studdy Learning Bank!

Problem 1201

Find the value of $3+4x$ when $x=4$ .

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Problem 1202

Find $x$ given $x + 40 = 60$ .

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Problem 1203

Latoya has two exercise routines. Routine #1: 22 calories walking, $15.5$ calories/min running. Routine #2: 40 calories walking, $13.25$ calories/min running. Find time $t$ (min) running where Routine #1 burns at most as many calories as Routine #2.

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Problem 1204

Predict a company's revenue in 2017 using a linear model $y=27.27x+6.74$ or a quadratic model $y=1.54x^2+14.91x+19.10$ .

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Problem 1205

5. Landscaping company ordered $x$ plants, $y$ trees for $\$ 964$ . Write equation: $964=17x+8y$
6. If plants cost $\$ 12$ each, find the cost of each tree using the equation from 5.

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Problem 1206

Solve the linear equation $x + 3 = 10$ using algebra tiles.

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Problem 1207

Simplify the expression $-8(6-x)+49$ .

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Problem 1208

Solve for the value of $x$ where $100=4:20$ .

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Problem 1209

Find the value of $g(5)$ where $g(x) = x^2 - 2x$ .

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Problem 1210

Solve for $b$ in the equation $4a = 2b - 7$ , then find $b$ when $a = 3$ . (1 point)

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Problem 1211

Evaluate $h(3)$ for $h(x)=3x^2-2x+13$ . Simplify the result.

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Problem 1212

Solve the quadratic equation $x^2 + 8x + 8 = 0$ by completing the square. Express the solutions in the form $x = a \pm b \sqrt{c}$ , where $b$ and $c$ are integers.

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Problem 1213

Solve for $n$ in the equation $b n - w = f$ .

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Problem 1214

Find the value of $x$ that satisfies the equation $x + 5 = 14$ .

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Problem 1215

Find the value of $f(x) = 2x$ evaluated at $x = -\frac{9}{5}$ .

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Problem 1216

Find the values of $x$ where $y=x+\sqrt{x+6}$ and $y=6$ .

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Problem 1217

Identify the graph that satisfies the absolute value equation $|x-3|=5$ .

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Problem 1218

Find the value of $b$ that satisfies $-4.4b = 2.9$ . Round the answer to the nearest hundredth.

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Problem 1219

Simplify the expression $(4 x-5 y)^{2}$ .

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Problem 1220

Calculate $\frac{270}{2.5^{2}}-\frac{4.6+17.2}{8.4-6.8}$ .

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Problem 1221

Find the sum of $\sqrt{3}$ and $3\sqrt{12}$ and determine if the result is rational or irrational.

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Problem 1222

Solve $10x = 2.5x$ for number of solutions. No solution, no values work. One solution, $x = 1/4$ .

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Problem 1223

Solve for $c$ in the formula $P=c+b+4a$ .

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Problem 1224

Find the product of $\frac{8}{-s}$ and $\frac{-t}{3}$ . Simplify the result.

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Problem 1225

Solve for the variable $m$ in the equation $\frac{m}{-2.6} = 5$ .

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Problem 1226

Add or subtract the given polynomials in $x$ and $y$ .

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Problem 1227

Solve for the value of $c$ given the equation $c + 19 = 73$ .

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Problem 1228

Find the number of cookies Desiree baked last week given that she made 100 cookies this week, which is 4 more than 3 times the number of cookies she made last week. $3x+4=100$

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Problem 1229

Solve the linear equation $8-5x=-37$ for the value of $x$ .

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Problem 1230

Determine if the statement is false or identify the property that justifies it. If cancellation is used, specify the quantity added/multiplied to both sides. $-4x + 14y^6 - z = 8y^6 - z \Leftrightarrow -4x + 6y^6 = 0$

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Problem 1231

Geben Sie eine Funktion an, die folgende Eigenschaften erfüllt: a) Polynomgrad 8 mit 3 Summanden b) Ganzrational vom Grad 6, in faktorisierter Form c) Quadratisch mit $a_{1}=0$ und $a_{0}=3$ d) Polynomgrad 7 mit 4 ungleich null Koeffizienten e) Gebrochen-rational mit senkrechter Asymptote $x=-2$

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Problem 1232

Identify the reciprocal functions from the given equations: $y=x^{2}$ , $y=\frac{1}{x+4}$ , $y=\frac{7}{x}$ , $y=\frac{2}{x}+5$ , $y=\frac{x}{8}$ , $y=3 x+1$ .

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Problem 1233

Calculate $\frac{a^{2}-bc}{b+c}$ given $a=4, b=-2, c=3$ . [2 marks]

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Problem 1234

Find the discriminant of the quadratic function $f(x) = x^2 + 8x - 15$ .

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Problem 1235

Solve the equation $-3(m-2)+m=5(3-m)$ .

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Problem 1236

Simplify the expression $\frac{9x}{x-8}$ and evaluate it when $x=0.8$ .

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Problem 1237

Solve for $u$ where $2 u^{2}+14 u+24=(u+3)^{2}$ . If multiple solutions, list them separated by commas.

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Problem 1238

Find $(f \cdot g)(x)$ and $(f \cdot g)(1)$ for $f(x)=-7x+3$ and $g(x)=3x^2-4x-1$ .

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Problem 1239

Solve the system of linear and quadratic equations $x-6y=10, 3y^2=4x+1$ . Show that $3y^2-24y-41=0$ .

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Problem 1240

Find equations of horizontal and vertical lines through point $(-2,-8)$ .

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Problem 1241

Solve the linear equation $2(x+1)=10$ for the variable $x$ .

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Problem 1242

Evaluate the expression $8^{-2}$ and write the answer as a fraction or whole number without exponents.

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Problem 1243

Find a function $f$ such that $a_{n}=f(n)$ for recurrence relations: $a_{n+2}=a_{n+1}+a_{n}+n^{2}, a_{1}=1, a_{2}=2$ or $a_{n+2}=4 a_{n+1}+4 a_{n}, a_{1}=1, a_{2}=2$ .

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Problem 1244

Find the time $t$ when the velocity $v(t)$ is equal to 3, given the velocity function $v(t)=-10t+11$ .

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Problem 1245

Find the value of $p$ that satisfies the inequality $-31p + 79 > -59p + 81$ . Express the solution in simplest form.

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Problem 1246

Find the degree and leading coefficient of $f(x)=5x-4$ , and state the end behavior of its graph.

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Problem 1247

Solve the linear equation $\frac{g}{3} - 2 = 1$ for the variable $g$ .

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Problem 1248

Find the solution set for the absolute value inequality $|5x - 6| < 12$ .

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Problem 1249

Expand the equation $f(x)=(3x+2)^3(x+1)$ . What is the first term and the constant term?

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Problem 1250

Use the distributive property to solve $\frac{5 x}{3} - x = \frac{x}{15} - \frac{6}{5}$ .

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Problem 1251

Solve the equation $-3(x+4)=2x+8$ to find the value of $x$ .

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Problem 1252

Solve the equation $9v - 1(2u + 4) = 0$ for variable $v$ .

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Problem 1253

Evaluate $g(2)$ for the function $g(x) = 9x^2 + 4x - 21$ .

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Problem 1254

Solve for $x$ if $4(2x + 3x) = 30$ . Options: A) 1.50, B) 1.75, C) 2.00, D) 2.50.

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Problem 1255

Find the value of $q$ given the equation $k=4pq^2$ .

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Problem 1256

Which expression equals -4? A) $-8 \div-2$ B) $-2 \times-2$ C) $-7-11$ D) $7+-11$

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Problem 1257

Find the solution to the inequality $3x < 3x + 5$ .

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Problem 1258

Solve the linear equation $u - 3 = 2$ for the unknown variable $u$ .

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Problem 1259

Solve the linear equation $-x+7=-6$ for the unknown variable $x$ .

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Problem 1260

Solve the equation $-5+B=h$ for the variable $B$ , accounting for capitalization.

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Problem 1261

Which statement best describes $f(6)=12$ ? The input is 6 and the output is 12.

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Problem 1262

Determine if the statement $-3^{3}=27$ is true or false. If false, provide the correct statement.

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Problem 1263

Find the inverse function $h^{-1}(x)$ of $h(x)=\frac{7x}{x-4}$ and its domain and range in interval notation.

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Problem 1264

Solve the system of linear equations $y=-2.89x+7.07, y=1.56x-7.26$ and select the correct solution.

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Problem 1265

Écrivez une fonction polynomiale satisfaisant les conditions: a) $x$ dans les quadrants III-IV, 1 point d'inflexion, $y$ -int: 2. b) $x$ dans les quadrants III-I, 3 abscisses à l'origine. c) croissante, degré 1, $y$ -int: -3. d) 2 points d'inflexion, $y$ -int: 5. e) $y \leq 2$ , $y$ -int: 2.

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Problem 1266

Combine like terms in expressions with variables and coefficients. $-7c + 2c - 3c - 5c =$ $3w + 4w^3 + 7w + w^2 - w^3 =$ $3a + 5b + a - (-2)b =$ $\frac{1}{2}v - \frac{2}{3}v + v =$

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Problem 1267

Simplify the fraction $\frac{2 q^{8} r}{6 q^{4}}$ .

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Problem 1268

Write a system of equations to find the cost of pens and pencils, where $x$ is the number of pens and $y$ is the number of pencils. Gabby bought $4$ pens and $5$ pencils for $\$ 6.71$ , and Sydney bought $5$ pens and $3$ pencils for $\$ 7.12$ .

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Problem 1269

Find the expression that represents $-30+9k$ as a product with -3 as one of the factors.

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Problem 1270

Solve the linear equation $4x + 6 = 17$ for the value of $x$ .

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Problem 1271

Solve for $x$ in the equation $\sqrt{x-8}+2=7$ . The solutions are $x=1, 13, 17, 33$ .

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Problem 1272

Solve the linear equation $21+2f=9f$ for the unknown variable $f$ .

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Problem 1273

Solve the equation $10b = 50$ for $b$ .

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Problem 1274

Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is $8: 7$ and there are 24 T-shirts.

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Problem 1275

Solve for $h$ in the equation $2(15)(85)+2(10)(65)=2(9 \sqrt{8}) h$ .

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Problem 1276

Solve the equation $\frac{1}{2}(2 m-8)=6\left(\frac{1}{2} m+10\right)$ to find the possible values of $m$ .

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Problem 1277

Solve the equation $2(x+1)=12$ for $x$ .

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Problem 1278

Find the values of the constant $c$ and the $y$ -intercept in the linear equation $y=\frac{1}{\sqrt{1}}x+0$ .

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Problem 1279

Solve the linear equation $10x + 8(10x - 6) = 0$ for $x$ .

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Problem 1280

Find the solutions to the equation $\sqrt{2x-1}-2=0$ .

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Problem 1281

Find the equation of a line given the slope $m=-4$ and a point $(1,8)$ on the line.

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Problem 1282

Simplify the expression $\left(16 b^{\frac{1}{3}}\right)^{\frac{3}{2}}$ as a power of $b$ .

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Problem 1283

Determine how the graph of $y=-\frac{1}{3}x+3$ changes when it is modified to $y=-\frac{1}{3}x-1$ .

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Problem 1284

Solve the equation $\frac{1}{2}(x-9)+\frac{1}{3}(x+5)=-2$ for $x$ .

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Problem 1285

Find the value of $3 \sqrt[3]{x+y}-\sqrt{x}$ when $x=4$ and $y=-12$ .

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Problem 1286

Find the number of adult tickets sold for a school play where 752 total tickets were sold, with 52 more student tickets than adult tickets.
Let $x$ be the number of adult tickets and $y$ be the number of student tickets. Then, $x + y = 752$ and $y = x + 52$ .

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Problem 1287

Find the value of $s$ given the equation $P=q+6+s$ .

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Problem 1288

Determine if the linear equation $y = -2x + 3$ represents a linear function. Explain your reasoning.

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Problem 1289

Find the mapping rule for the function $y=2 \sqrt{-(x+3)}-4$ .

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Problem 1290

Solve the linear equation $13x - 5y = 35$ for $x$ and $y$ .

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Problem 1291

Solve for the variable $\boldsymbol{e}$ in the equation $e+7=41$ .

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Problem 1292

Solve the linear equation $y + 5(2y - 7) = 9$ for the variable $y$ .

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Problem 1293

Is $c = \pm 50$ or $c = \pm 20$ the solution to the equation $15 = c - 35$ ?

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Problem 1294

Find the value of $x$ that satisfies the equation $2x+12=6x-14$ .

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Problem 1295

Clothing business finds linear relationship between number of shirts $n$ and price $p$ per shirt. Given: 5000 shirts sold at $\$71$ , 6000 shirts sold at $\$65$ . Find linear equation $p=mn+b$ for price $p$ of $n$ shirts.

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Problem 1296

Solve for $x$ the equation $2(2)^{x}=\frac{1}{8}$ .

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Problem 1297

Solve for $f$ where $-5(f-7)<5$ .

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Problem 1298

Solve $-6 x^{\frac{3}{2}}+5=-2,053$ for $x$ . Options: A) $x=49$ , B) $x=28$ , C) $x=14$ , D) $x=7$ .

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Problem 1299

Use properties of integer exponents to explain the meaning of $2^{\frac{1}{5}}$ .

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Problem 1300

Find the value of $c$ in the equation $8g + c - 6 = 0$ . Select the correct solution: $c = 2gc$ or $c = 8gc + 6$ .

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Algebra

Problem 1201

Find the value of 3+4x3+4x3+4x when x=4x=4x=4.

Problem 1202

Find xxx given x+40=60x + 40 = 60x+40=60.

Problem 1203

Latoya has two exercise routines. Routine #1: 22 calories walking, 15.515.515.5 calories/min running. Routine #2: 40 calories walking, 13.2513.2513.25 calories/min running. Find time ttt (min) running where Routine #1 burns at most as many calories as Routine #2.

Problem 1204

Predict a company's revenue in 2017 using a linear model y=27.27x+6.74y=27.27x+6.74y=27.27x+6.74 or a quadratic model y=1.54x2+14.91x+19.10y=1.54x^2+14.91x+19.10y=1.54x2+14.91x+19.10.

Problem 1205

5. Landscaping company ordered xxx plants, yyy trees for $964\$ 964$964. Write equation: 964=17x+8y964=17x+8y964=17x+8y6. If plants cost $12\$ 12$12 each, find the cost of each tree using the equation from 5.

Problem 1206

Solve the linear equation x+3=10x + 3 = 10x+3=10 using algebra tiles.

Problem 1207

Simplify the expression −8(6−x)+49-8(6-x)+49−8(6−x)+49.

Problem 1208

Solve for the value of xxx where 100=4:20100=4:20100=4:20.

Problem 1209

Find the value of g(5)g(5)g(5) where g(x)=x2−2xg(x) = x^2 - 2xg(x)=x2−2x.

Problem 1210

Solve for bbb in the equation 4a=2b−74a = 2b - 74a=2b−7, then find bbb when a=3a = 3a=3. (1 point)

Problem 1211

Evaluate h(3)h(3)h(3) for h(x)=3x2−2x+13h(x)=3x^2-2x+13h(x)=3x2−2x+13. Simplify the result.

Problem 1212

Solve the quadratic equation x2+8x+8=0x^2 + 8x + 8 = 0x2+8x+8=0 by completing the square. Express the solutions in the form x=a±bcx = a \pm b \sqrt{c}x=a±bc​, where bbb and ccc are integers.

Problem 1213

Solve for nnn in the equation bn−w=fb n - w = fbn−w=f.

Problem 1214

Find the value of xxx that satisfies the equation x+5=14x + 5 = 14x+5=14.

Problem 1215

Find the value of f(x)=2xf(x) = 2xf(x)=2x evaluated at x=−95x = -\frac{9}{5}x=−59​.

Problem 1216

Find the values of xxx where y=x+x+6y=x+\sqrt{x+6}y=x+x+6​ and y=6y=6y=6.

Problem 1217

Identify the graph that satisfies the absolute value equation ∣x−3∣=5|x-3|=5∣x−3∣=5.

Problem 1218

Find the value of bbb that satisfies −4.4b=2.9-4.4b = 2.9−4.4b=2.9. Round the answer to the nearest hundredth.

Problem 1219

Simplify the expression (4x−5y)2(4 x-5 y)^{2}(4x−5y)2.

Problem 1220

Calculate 2702.52−4.6+17.28.4−6.8\frac{270}{2.5^{2}}-\frac{4.6+17.2}{8.4-6.8}2.52270​−8.4−6.84.6+17.2​.

Problem 1221

Find the sum of 3\sqrt{3}3​ and 3123\sqrt{12}312​ and determine if the result is rational or irrational.

Problem 1222

Solve 10x=2.5x10x = 2.5x10x=2.5x for number of solutions. No solution, no values work. One solution, x=1/4x = 1/4x=1/4.

Problem 1223

Solve for ccc in the formula P=c+b+4aP=c+b+4aP=c+b+4a.

Problem 1224

Find the product of 8−s\frac{8}{-s}−s8​ and −t3\frac{-t}{3}3−t​. Simplify the result.

Problem 1225

Solve for the variable mmm in the equation m−2.6=5\frac{m}{-2.6} = 5−2.6m​=5.

Problem 1226

Add or subtract the given polynomials in xxx and yyy.

Problem 1227

Solve for the value of ccc given the equation c+19=73c + 19 = 73c+19=73.

Problem 1228

Find the number of cookies Desiree baked last week given that she made 100 cookies this week, which is 4 more than 3 times the number of cookies she made last week. 3x+4=1003x+4=1003x+4=100

Problem 1229

Solve the linear equation 8−5x=−378-5x=-378−5x=−37 for the value of xxx.

Problem 1230

Determine if the statement is false or identify the property that justifies it. If cancellation is used, specify the quantity added/multiplied to both sides. −4x+14y6−z=8y6−z⇔−4x+6y6=0-4x + 14y^6 - z = 8y^6 - z \Leftrightarrow -4x + 6y^6 = 0−4x+14y6−z=8y6−z⇔−4x+6y6=0

Problem 1231

Problem 1232

Identify the reciprocal functions from the given equations: y=x2y=x^{2}y=x2, y=1x+4y=\frac{1}{x+4}y=x+41​, y=7xy=\frac{7}{x}y=x7​, y=2x+5y=\frac{2}{x}+5y=x2​+5, y=x8y=\frac{x}{8}y=8x​, y=3x+1y=3 x+1y=3x+1.

Problem 1233

Calculate a2−bcb+c\frac{a^{2}-bc}{b+c}b+ca2−bc​ given a=4,b=−2,c=3a=4, b=-2, c=3a=4,b=−2,c=3. [2 marks]

Problem 1234

Find the discriminant of the quadratic function f(x)=x2+8x−15f(x) = x^2 + 8x - 15f(x)=x2+8x−15.

Problem 1235

Solve the equation −3(m−2)+m=5(3−m)-3(m-2)+m=5(3-m)−3(m−2)+m=5(3−m).

Problem 1236

Simplify the expression 9xx−8\frac{9x}{x-8}x−89x​ and evaluate it when x=0.8x=0.8x=0.8.

Problem 1237

Solve for uuu where 2u2+14u+24=(u+3)22 u^{2}+14 u+24=(u+3)^{2}2u2+14u+24=(u+3)2. If multiple solutions, list them separated by commas.

Problem 1238

Find (f⋅g)(x)(f \cdot g)(x)(f⋅g)(x) and (f⋅g)(1)(f \cdot g)(1)(f⋅g)(1) for f(x)=−7x+3f(x)=-7x+3f(x)=−7x+3 and g(x)=3x2−4x−1g(x)=3x^2-4x-1g(x)=3x2−4x−1.

Problem 1239

Solve the system of linear and quadratic equations x−6y=10,3y2=4x+1x-6y=10, 3y^2=4x+1x−6y=10,3y2=4x+1. Show that 3y2−24y−41=03y^2-24y-41=03y2−24y−41=0.

Problem 1240

Find equations of horizontal and vertical lines through point (−2,−8)(-2,-8)(−2,−8).

Find the value of $3+4x$ when $x=4$ .

Find $x$ given $x + 40 = 60$ .

Latoya has two exercise routines. Routine #1: 22 calories walking, $15.5$ calories/min running. Routine #2: 40 calories walking, $13.25$ calories/min running. Find time $t$ (min) running where Routine #1 burns at most as many calories as Routine #2.

Predict a company's revenue in 2017 using a linear model $y=27.27x+6.74$ or a quadratic model $y=1.54x^2+14.91x+19.10$ .

5. Landscaping company ordered $x$ plants, $y$ trees for $\$ 964$ . Write equation: $964=17x+8y$
6. If plants cost $\$ 12$ each, find the cost of each tree using the equation from 5.

Solve the linear equation $x + 3 = 10$ using algebra tiles.

Simplify the expression $-8(6-x)+49$ .

Solve for the value of $x$ where $100=4:20$ .

Find the value of $g(5)$ where $g(x) = x^2 - 2x$ .

Solve for $b$ in the equation $4a = 2b - 7$ , then find $b$ when $a = 3$ . (1 point)

Evaluate $h(3)$ for $h(x)=3x^2-2x+13$ . Simplify the result.

Solve the quadratic equation $x^2 + 8x + 8 = 0$ by completing the square. Express the solutions in the form $x = a \pm b \sqrt{c}$ , where $b$ and $c$ are integers.

Solve for $n$ in the equation $b n - w = f$ .

Find the value of $x$ that satisfies the equation $x + 5 = 14$ .

Find the value of $f(x) = 2x$ evaluated at $x = -\frac{9}{5}$ .

Find the values of $x$ where $y=x+\sqrt{x+6}$ and $y=6$ .

Identify the graph that satisfies the absolute value equation $|x-3|=5$ .

Find the value of $b$ that satisfies $-4.4b = 2.9$ . Round the answer to the nearest hundredth.

Simplify the expression $(4 x-5 y)^{2}$ .

Calculate $\frac{270}{2.5^{2}}-\frac{4.6+17.2}{8.4-6.8}$ .

Find the sum of $\sqrt{3}$ and $3\sqrt{12}$ and determine if the result is rational or irrational.

Solve $10x = 2.5x$ for number of solutions. No solution, no values work. One solution, $x = 1/4$ .

Solve for $c$ in the formula $P=c+b+4a$ .

Find the product of $\frac{8}{-s}$ and $\frac{-t}{3}$ . Simplify the result.

Solve for the variable $m$ in the equation $\frac{m}{-2.6} = 5$ .

Add or subtract the given polynomials in $x$ and $y$ .

Solve for the value of $c$ given the equation $c + 19 = 73$ .

Find the number of cookies Desiree baked last week given that she made 100 cookies this week, which is 4 more than 3 times the number of cookies she made last week. $3x+4=100$

Solve the linear equation $8-5x=-37$ for the value of $x$ .

Determine if the statement is false or identify the property that justifies it. If cancellation is used, specify the quantity added/multiplied to both sides. $-4x + 14y^6 - z = 8y^6 - z \Leftrightarrow -4x + 6y^6 = 0$

Identify the reciprocal functions from the given equations: $y=x^{2}$ , $y=\frac{1}{x+4}$ , $y=\frac{7}{x}$ , $y=\frac{2}{x}+5$ , $y=\frac{x}{8}$ , $y=3 x+1$ .

Calculate $\frac{a^{2}-bc}{b+c}$ given $a=4, b=-2, c=3$ . [2 marks]

Find the discriminant of the quadratic function $f(x) = x^2 + 8x - 15$ .

Solve the equation $-3(m-2)+m=5(3-m)$ .

Simplify the expression $\frac{9x}{x-8}$ and evaluate it when $x=0.8$ .

Solve for $u$ where $2 u^{2}+14 u+24=(u+3)^{2}$ . If multiple solutions, list them separated by commas.

Find $(f \cdot g)(x)$ and $(f \cdot g)(1)$ for $f(x)=-7x+3$ and $g(x)=3x^2-4x-1$ .

Solve the system of linear and quadratic equations $x-6y=10, 3y^2=4x+1$ . Show that $3y^2-24y-41=0$ .

Find equations of horizontal and vertical lines through point $(-2,-8)$ .

Solve the linear equation $2(x+1)=10$ for the variable $x$ .

Evaluate the expression $8^{-2}$ and write the answer as a fraction or whole number without exponents.

Find the time $t$ when the velocity $v(t)$ is equal to 3, given the velocity function $v(t)=-10t+11$ .

Find the value of $p$ that satisfies the inequality $-31p + 79 > -59p + 81$ . Express the solution in simplest form.

Find the degree and leading coefficient of $f(x)=5x-4$ , and state the end behavior of its graph.

Solve the linear equation $\frac{g}{3} - 2 = 1$ for the variable $g$ .

Find the solution set for the absolute value inequality $|5x - 6| < 12$ .

Expand the equation $f(x)=(3x+2)^3(x+1)$ . What is the first term and the constant term?

Use the distributive property to solve $\frac{5 x}{3} - x = \frac{x}{15} - \frac{6}{5}$ .

Solve the equation $-3(x+4)=2x+8$ to find the value of $x$ .

Solve the equation $9v - 1(2u + 4) = 0$ for variable $v$ .

Evaluate $g(2)$ for the function $g(x) = 9x^2 + 4x - 21$ .

Solve for $x$ if $4(2x + 3x) = 30$ . Options: A) 1.50, B) 1.75, C) 2.00, D) 2.50.

Find the value of $q$ given the equation $k=4pq^2$ .

Which expression equals -4? A) $-8 \div-2$ B) $-2 \times-2$ C) $-7-11$ D) $7+-11$

Find the solution to the inequality $3x < 3x + 5$ .

Solve the linear equation $u - 3 = 2$ for the unknown variable $u$ .

Solve the linear equation $-x+7=-6$ for the unknown variable $x$ .

Solve the equation $-5+B=h$ for the variable $B$ , accounting for capitalization.

Which statement best describes $f(6)=12$ ? The input is 6 and the output is 12.

Determine if the statement $-3^{3}=27$ is true or false. If false, provide the correct statement.

Find the inverse function $h^{-1}(x)$ of $h(x)=\frac{7x}{x-4}$ and its domain and range in interval notation.

Solve the system of linear equations $y=-2.89x+7.07, y=1.56x-7.26$ and select the correct solution.

Écrivez une fonction polynomiale satisfaisant les conditions: a) $x$ dans les quadrants III-IV, 1 point d'inflexion, $y$ -int: 2. b) $x$ dans les quadrants III-I, 3 abscisses à l'origine. c) croissante, degré 1, $y$ -int: -3. d) 2 points d'inflexion, $y$ -int: 5. e) $y \leq 2$ , $y$ -int: 2.

Simplify the fraction $\frac{2 q^{8} r}{6 q^{4}}$ .

Write a system of equations to find the cost of pens and pencils, where $x$ is the number of pens and $y$ is the number of pencils. Gabby bought $4$ pens and $5$ pencils for $\$ 6.71$ , and Sydney bought $5$ pens and $3$ pencils for $\$ 7.12$ .

Find the expression that represents $-30+9k$ as a product with -3 as one of the factors.

Solve the linear equation $4x + 6 = 17$ for the value of $x$ .

Solve for $x$ in the equation $\sqrt{x-8}+2=7$ . The solutions are $x=1, 13, 17, 33$ .

Solve the linear equation $21+2f=9f$ for the unknown variable $f$ .

Solve the equation $10b = 50$ for $b$ .

Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is $8: 7$ and there are 24 T-shirts.