Algebra

Problem 201

Solve the equations $3(x-4)=x+2$ , $\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}$ , and $\frac{1}{5}(10x-5)=3x+2$ . Determine which statements are true.

See Solution

Problem 202

Find the equation with solution $k=6.5$ .

See Solution

Problem 203

Find the conjugate of $7-\sqrt{x+3}$ when $x \geq -3$ .

See Solution

Problem 204

Determine if the point $(6,30)$ satisfies the equation $x=6$ .

See Solution

Problem 205

Find the solution to the quadratic equation $x^{2} = 8x + 9$ by completing the square.

See Solution

Problem 206

Solve the division of two rational expressions: $(x+7)/(x^2+4x-21)$ divided by $(x+5)/(x^2+8x+15)$ .

See Solution

Problem 207

Solve for $x$ in the equation $y-2=-3(x-5)$ .

See Solution

Problem 208

Solve the absolute value equation $|5t-1| = 6$ for the value of $t$ .

See Solution

Problem 209

Find the equation of a line with slope -2.

See Solution

Problem 210

Solve the quadratic equation $x^{2} + 8x = 9$ . Write the expanded and factored forms, a solution, and check your work.

See Solution

Problem 211

Solve the equation $6(x+4)=8(x+2.8)$ .

See Solution

Problem 212

Multiply $28y(y-24)$ and enter the correct answer.

See Solution

Problem 213

Simplify the expression $2p - 5p + 4$ .

See Solution

Problem 214

Solve the absolute value equation $|y+4|=8.5$ for the value of $y$ .

See Solution

Problem 215

Multiply $6x(-5x^4)$ and simplify the result.

See Solution

Problem 216

Solve the absolute value equation $|4x-10|-11=-5$ .

See Solution

Problem 217

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all $x$ -values are $>-1$ D) When all $y$ -values are $>-1$

See Solution

Problem 218

Solve for $c$ in the equation $-2c = -18$ .

See Solution

Problem 219

Solve the equation $4^{-x+3}=4^{-3 x}$ .

See Solution

Problem 220

Expand the expression $(3 x-2)(x+5)$ and find the coefficients of the resulting quadratic expression.

See Solution

Problem 221

Find all solutions, including complex, for the nonlinear system: $7x^2 - 9y^2 = 42$ , $21x^2 + 5y^2 = 126$ .

See Solution

Problem 222

Solve the following linear equations, showing your work. 1) $15-2x=3x$ 2) $26-4x=9x$ 3) $5x-9=2x+12$ 4) $8x+10=35+3x$ 5) $5x+16=6-5x$

See Solution

Problem 223

Find the roots of the quadratic equation $f(x) = 5x^2 + 6x + 1$ .

See Solution

Problem 224

Write the quadratic equation with roots $x = 5$ and $x = 6$ , and leading coefficient $5$ .

See Solution

Problem 225

Find the equation of the line through $(-2,6)$ and $(2,-12)$ , then determine which points $[(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)]$ also lie on the line.

See Solution

Problem 226

Add the two rational expressions $\frac{x+3}{x+4}$ and $\frac{x-4}{x-3}$ , and simplify the result to lowest terms.

See Solution

Problem 227

Solve $x=2Y+6z-y^2$ for $x$ given $y=6$ and $z=2$ . A) 12 B) 11 C) -11 D) -12

See Solution

Problem 228

Find the $y$ -intercept of linear function $y = \frac{3}{4}x + 2$ and compare it to the $y$ -intercepts of the points for function B. Determine which statement is true about the $y$ -intercepts.

See Solution

Problem 229

Solve $\sqrt{3}(3x-1)+\pi x=0$ numerically to the nearest tenth.

See Solution

Problem 230

Find the values of $x$ that satisfy the inequality $|x| + 28 < 15$ .

See Solution

Problem 231

Express velocity $v$ in terms of time $t$ using the equation $t=\frac{v}{4}+1$ .

See Solution

Problem 232

Solve the radical equation $\sqrt{5 x+50}=x$ , and check all proposed solutions.

See Solution

Problem 233

Solve $\left(z-7\right)^{\frac{4}{3}}=5$ for real number $z$ .

See Solution

Problem 234

To find $5b$ , solve $15b = -60$ for $b$ , then multiply $b$ by $5$ .

See Solution

Problem 235

Solve the linear equation $10-6v=-104$ for the variable $v$ .

See Solution

Problem 236

Find the minimum point of the curve $y = x^2 - 6x + 5$ by completing the square.

See Solution

Problem 237

Find the value of $f(-3)$ when the polynomial $f(x)=3x^2-25x+k$ has a remainder of 0 when divided by $(x-6)$ .

See Solution

Problem 238

Solve the equation $49=1-(x+1)$ for x.

See Solution

Problem 239

Simplify the expressions: $(3 m + 6)(4 m + 11)$ and $5 x(x - 4) - 2 x(x + 6)$ .

See Solution

Problem 240

Choose the expression for $2 + 6j$ .

See Solution

Problem 241

Find the value of $3^{3} + 3$ . Options: A. 12, B. 30, C. 27, D. 9.

See Solution

Problem 242

Subtract two polynomials and simplify the result: $(-3x^5 + 9x^4 - 2x^3 + 2x^2) - (11x^5 + 7x^3 + 8x^2 + 6x)$ .

See Solution

Problem 243

Solve for the value of $v$ in the quadratic equation $-8v-3=5v^2$ .

See Solution

Problem 244

Solve the rational equation $\frac{8 x-16}{2 x-12}=-4$ .

See Solution

Problem 245

Find the product of the sum and difference of two terms: $(7x^2 + 3)(7x^2 - 3)$ .

See Solution

Problem 246

Find the solution to the linear equation $3x - 2 = 12(10x - 3)$ .

See Solution

Problem 247

Find the value of $k$ that makes $x^2 - kx + 121 = 0$ a perfect square trinomial.

See Solution

Problem 248

Solve the quadratic equation $x^2 + 3x - 18 = 0$ and find its real-valued solutions.

See Solution

Problem 249

Solve and graph the inequality $8 > |2x + 3|$ , rounding the solution to the nearest tenth.

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Problem 250

Find the values of $x$ that cannot be solutions to the equation $\frac{3 x}{3 x-8}-4=\frac{8}{7 x}$ .

See Solution

Problem 251

Write a linear function $f$ with given values: $f(-4)=-2$ , $f(-2)=-1$ , $f(0)=0$ . Find the equation of $f(x)$ .

See Solution

Problem 252

Solve the equation $|x+4| + 8 = 6$ or determine if no solution exists.

See Solution

Problem 253

Solve for $c$ in the equation $3(2c+7)=4c+39$ .

See Solution

Problem 254

Find the amount of hazelnuts and peanuts to make a 41 lb mixture that sells for $\$ 6.04$ per pound.

See Solution

Problem 255

Solve the linear equation $0=2y-8x+10$ for $y$ .

See Solution

Problem 256

Find the equation that represents a linear function: A. $y=\frac{1}{2} x^{2}-5$ B. $y=\frac{1}{2} x^{3}-5$ C. $y=\frac{1}{2} x+5$ D. $y=\left(\frac{1}{2}\right)^{x}-5$

See Solution

Problem 257

Find the coordinates of the points where the circle $x^2 + y^2 = 16$ intersects the parabola $y = x^2 - x - 5$ . Round to the nearest hundredth.

See Solution

Problem 258

Find the 5th term of the sequence $a_n = -43(-2)^{n-1}$ . Write the answer as a decimal or integer.

See Solution

Problem 259

Simplify the expression $16x^{2} - 9$ .

See Solution

Problem 260

Solve the linear equation $2x - 6 = 10$ for the value of $x$ .

See Solution

Problem 261

Find the equation that shows how to multiply $1,000,000$ and $1,000,000$ using scientific notation: $A. (1 \times 10^{6}) \times (1 \times 10^{6}) = 1 \times 10^{12}$

See Solution

Problem 262

Solve for $a$ in the equation $5^{3a-2}=8$ .

See Solution

Problem 263

Find the expression that also defines the function $k(x)=9^x$ .

See Solution

Problem 264

Determine the best-fit model for the data: $\{(x, y) | x = 0, 1, 2, 3, 4, 5; y = -17, -13, -3, 13, 35, 63\}$ .

See Solution

Problem 265

Find $f(4c-1)$ if $f(x)=7x+1$ , where (A) $28c+6$ , (B) $21c+1$ , (C) $28c+1$ , (D) $28c-6$ .

See Solution

Problem 266

Multiply the two binomials $(3x-9)(4x-7)$ using the FOIL or BOX method.

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Problem 267

Graph the interval $\{x \in \mathbb{R} | x > 8\}$ on the number line.

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Problem 268

Solve for the value of $j$ that satisfies the equation $(7j-9)(8j+9)=0$ .

See Solution

Problem 269

Solve for $x$ and $y$ in the linear equation $12y = \frac{8x - 48}{3}$ .

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Problem 270

Find the algebraic expression for the sum of 5 and $x$ multiplied by 2, then subtracted from 13.

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Problem 271

Express $k^2 - 8k + 20$ as $a(k+b)^2 + c$ . Prove the equation $x^2 - kx + 2k = 5$ has real, distinct roots for all real $k$ .

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Problem 272

Solve the equation $74=8x$ and select the correct answer from the options provided.

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Problem 273

Solve the quadratic equation $z^2 - 10z = -50$ .

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Problem 274

Find the value of $m$ given the equation $n=6+m$ .

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Problem 275

Find the zeros of the polynomial $f(x) = x^{3} - x + 2x^{2} - 2$ given that $(x - 1)$ is a factor.

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Problem 276

Solve for $x$ in the quadratic equation $(x+7)^2 - 49 = 0$ . The solutions are $x = -14, 0$ .

See Solution

Problem 277

Solve the quadratic equation $49 x^{2} - 28 x = -4$ .

See Solution

Problem 278

Solve for $x$ in the equation $2(x+2)=9x+11$ .

See Solution

Problem 279

Rewrite the power $3^{4}$ as repeated multiplication, then evaluate the expression.

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Problem 280

Solve for $q$ by completing the square: $q^{2} - 23q = 21$ . Write the solution as an integer, proper/improper fraction in simplest form, or decimal rounded to the nearest hundredth.

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Problem 281

Evaluate the expression $(5+4) \cdot (5+3 \cdot 3)$ using the correct order of operations.

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Problem 282

Solve for the value of $W$ given the equation $28 = -\frac{4}{9}W$ .

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Problem 283

Solve for $w$ in the equation $3+5w=-27$ . Simplify the solution for $w$ .

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Problem 284

Solve the linear equation $y + 2 = \frac{1}{6}(x - 4)$ for the value of $y$ .

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Problem 285

Simplify the expression $-0.3(3g-0.2)+0.4(-0.8g+10)$ .

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Problem 286

Solve the equation $-13=-4.6(14-2p)$ , and round the answer to the nearest hundredth.

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Problem 287

Solve the system of equations: $\frac{12}{x}=\frac{18}{21}=\frac{y}{7}$

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Problem 288

Solve the system of linear equations $x - 2y = 4$ and $2x - 4y = -4$ .

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Problem 289

Find the value of $\frac{1.6 \times 10^{5}}{0.2 \times 10^{2}}$ . Options: A) $0.8 \times 10^{3}$ B) $8 \times 10^{3}$ C) $0.8 \times 10^{7}$ D) $8 \times 10^{7}$

See Solution

Problem 290

Solve the inequality $x^{2} + 5x - 8 \geq x - 3$ and express the solution set in interval notation.

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Problem 291

Find the general term of an arithmetic sequence given the 50th term is 238 and the 93rd term is 539.

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Problem 292

Solve a system of linear equations with coordinates for the solutions.

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Problem 293

Solve the inequality $2(3c+3)<6c+9$ where $c>1$ . Determine the solution set.

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Problem 294

Priya's equation $5+0.5w=4+0.75w$ represents a situation. Find the meaning of the solution $w=4$ .

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Problem 295

Solve the equation $\frac{x-3}{x+5}+\frac{6x}{x+3}=\frac{x^2+35x+16}{x^2+8x+15}$ and state the excluded values of $x$ .

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Problem 296

Solve for $t$ in the equation $-9=t+4s$ . Options: a) $t=-9-4s$ , b) $t=\frac{-9+s}{4}$ , c) $t=\frac{-9-s}{4}$ , d) $t=-9-s-4$ .

See Solution

Problem 297

Find the value of $x$ in the equation $8^{2x-1}=16$ , rounded to the nearest hundredth.

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Problem 298

Find the value of $s$ that solves the equation $-30=6(s-5)-6$ . The solutions are $s=0$ and $s=1$ .

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Problem 299

Anton watched $x$ movies in 2019. If Michael watched $\frac{1}{4}$ as many movies as Anton, which approximates Michael's movies?

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Problem 300

Find the solution points for the equation $X + Y = 6$ and select the correct plot that passes through them.

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Algebra

Problem 201

Solve the equations 3(x−4)=x+23(x-4)=x+23(x−4)=x+2, 23x−12=13x+52\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}32​x−21​=31​x+25​, and 15(10x−5)=3x+2\frac{1}{5}(10x-5)=3x+251​(10x−5)=3x+2. Determine which statements are true.

Problem 202

Find the equation with solution k=6.5k=6.5k=6.5.

Problem 203

Find the conjugate of 7−x+37-\sqrt{x+3}7−x+3​ when x≥−3x \geq -3x≥−3.

Problem 204

Determine if the point (6,30)(6,30)(6,30) satisfies the equation x=6x=6x=6.

Problem 205

Find the solution to the quadratic equation x2=8x+9x^{2} = 8x + 9x2=8x+9 by completing the square.

Problem 206

Solve the division of two rational expressions: (x+7)/(x2+4x−21)(x+7)/(x^2+4x-21)(x+7)/(x2+4x−21) divided by (x+5)/(x2+8x+15)(x+5)/(x^2+8x+15)(x+5)/(x2+8x+15).

Problem 207

Solve for xxx in the equation y−2=−3(x−5)y-2=-3(x-5)y−2=−3(x−5).

Problem 208

Solve the absolute value equation ∣5t−1∣=6|5t-1| = 6∣5t−1∣=6 for the value of ttt.

Problem 209

Find the equation of a line with slope -2.

Problem 210

Solve the quadratic equation x2+8x=9x^{2} + 8x = 9x2+8x=9. Write the expanded and factored forms, a solution, and check your work.

Problem 211

Solve the equation 6(x+4)=8(x+2.8)6(x+4)=8(x+2.8)6(x+4)=8(x+2.8).

Problem 212

Multiply 28y(y−24)28y(y-24)28y(y−24) and enter the correct answer.

Problem 213

Simplify the expression 2p−5p+42p - 5p + 42p−5p+4.

Problem 214

Solve the absolute value equation ∣y+4∣=8.5|y+4|=8.5∣y+4∣=8.5 for the value of yyy.

Problem 215

Multiply 6x(−5x4)6x(-5x^4)6x(−5x4) and simplify the result.

Problem 216

Solve the absolute value equation ∣4x−10∣−11=−5|4x-10|-11=-5∣4x−10∣−11=−5.

Problem 217

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all xxx-values are >−1>-1>−1 D) When all yyy-values are >−1>-1>−1

Problem 218

Solve for ccc in the equation −2c=−18-2c = -18−2c=−18.

Problem 219

Solve the equation 4−x+3=4−3x4^{-x+3}=4^{-3 x}4−x+3=4−3x.

Problem 220

Expand the expression (3x−2)(x+5)(3 x-2)(x+5)(3x−2)(x+5) and find the coefficients of the resulting quadratic expression.

Problem 221

Find all solutions, including complex, for the nonlinear system: 7x2−9y2=427x^2 - 9y^2 = 427x2−9y2=42, 21x2+5y2=12621x^2 + 5y^2 = 12621x2+5y2=126.

Problem 222

Solve the following linear equations, showing your work. 1) 15−2x=3x15-2x=3x15−2x=3x 2) 26−4x=9x26-4x=9x26−4x=9x 3) 5x−9=2x+125x-9=2x+125x−9=2x+12 4) 8x+10=35+3x8x+10=35+3x8x+10=35+3x 5) 5x+16=6−5x5x+16=6-5x5x+16=6−5x

Problem 223

Find the roots of the quadratic equation f(x)=5x2+6x+1f(x) = 5x^2 + 6x + 1f(x)=5x2+6x+1.

Problem 224

Write the quadratic equation with roots x=5x = 5x=5 and x=6x = 6x=6, and leading coefficient 555.

Problem 225

Find the equation of the line through (−2,6)(-2,6)(−2,6) and (2,−12)(2,-12)(2,−12), then determine which points [(7,34.5),(4,−21),(5,25.5),(−7,28.5),(−4,21)][(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)][(7,34.5),(4,−21),(5,25.5),(−7,28.5),(−4,21)] also lie on the line.

Problem 226

Add the two rational expressions x+3x+4\frac{x+3}{x+4}x+4x+3​ and x−4x−3\frac{x-4}{x-3}x−3x−4​, and simplify the result to lowest terms.

Problem 227

Solve x=2Y+6z−y2x=2Y+6z-y^2x=2Y+6z−y2 for xxx given y=6y=6y=6 and z=2z=2z=2. A) 12 B) 11 C) -11 D) -12

Problem 228

Find the yyy-intercept of linear function y=34x+2y = \frac{3}{4}x + 2y=43​x+2 and compare it to the yyy-intercepts of the points for function B. Determine which statement is true about the yyy-intercepts.

Problem 229

Solve 3(3x−1)+πx=0\sqrt{3}(3x-1)+\pi x=03​(3x−1)+πx=0 numerically to the nearest tenth.

Problem 230

Find the values of xxx that satisfy the inequality ∣x∣+28<15|x| + 28 < 15∣x∣+28<15.

Problem 231

Express velocity vvv in terms of time ttt using the equation t=v4+1t=\frac{v}{4}+1t=4v​+1.

Problem 232

Solve the radical equation 5x+50=x\sqrt{5 x+50}=x5x+50​=x, and check all proposed solutions.

Problem 233

Solve (z−7)43=5\left(z-7\right)^{\frac{4}{3}}=5(z−7)34​=5 for real number zzz.

Problem 234

To find 5b5b5b, solve 15b=−6015b = -6015b=−60 for bbb, then multiply bbb by 555.

Problem 235

Solve the linear equation 10−6v=−10410-6v=-10410−6v=−104 for the variable vvv.

Problem 236

Find the minimum point of the curve y=x2−6x+5y = x^2 - 6x + 5y=x2−6x+5 by completing the square.

Problem 237

Find the value of f(−3)f(-3)f(−3) when the polynomial f(x)=3x2−25x+kf(x)=3x^2-25x+kf(x)=3x2−25x+k has a remainder of 0 when divided by (x−6)(x-6)(x−6).

Problem 238

Solve the equation 49=1−(x+1)49=1-(x+1)49=1−(x+1) for x.

Problem 239

Simplify the expressions: (3m+6)(4m+11)(3 m + 6)(4 m + 11)(3m+6)(4m+11) and 5x(x−4)−2x(x+6)5 x(x - 4) - 2 x(x + 6)5x(x−4)−2x(x+6).

Problem 240

Solve the equations $3(x-4)=x+2$ , $\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}$ , and $\frac{1}{5}(10x-5)=3x+2$ . Determine which statements are true.

Find the equation with solution $k=6.5$ .

Find the conjugate of $7-\sqrt{x+3}$ when $x \geq -3$ .

Determine if the point $(6,30)$ satisfies the equation $x=6$ .

Find the solution to the quadratic equation $x^{2} = 8x + 9$ by completing the square.

Solve the division of two rational expressions: $(x+7)/(x^2+4x-21)$ divided by $(x+5)/(x^2+8x+15)$ .

Solve for $x$ in the equation $y-2=-3(x-5)$ .

Solve the absolute value equation $|5t-1| = 6$ for the value of $t$ .

Solve the quadratic equation $x^{2} + 8x = 9$ . Write the expanded and factored forms, a solution, and check your work.

Solve the equation $6(x+4)=8(x+2.8)$ .

Multiply $28y(y-24)$ and enter the correct answer.

Simplify the expression $2p - 5p + 4$ .

Solve the absolute value equation $|y+4|=8.5$ for the value of $y$ .

Multiply $6x(-5x^4)$ and simplify the result.

Solve the absolute value equation $|4x-10|-11=-5$ .

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all $x$ -values are $>-1$ D) When all $y$ -values are $>-1$

Solve for $c$ in the equation $-2c = -18$ .

Solve the equation $4^{-x+3}=4^{-3 x}$ .

Expand the expression $(3 x-2)(x+5)$ and find the coefficients of the resulting quadratic expression.

Find all solutions, including complex, for the nonlinear system: $7x^2 - 9y^2 = 42$ , $21x^2 + 5y^2 = 126$ .

Solve the following linear equations, showing your work. 1) $15-2x=3x$ 2) $26-4x=9x$ 3) $5x-9=2x+12$ 4) $8x+10=35+3x$ 5) $5x+16=6-5x$

Find the roots of the quadratic equation $f(x) = 5x^2 + 6x + 1$ .

Write the quadratic equation with roots $x = 5$ and $x = 6$ , and leading coefficient $5$ .

Find the equation of the line through $(-2,6)$ and $(2,-12)$ , then determine which points $[(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)]$ also lie on the line.

Add the two rational expressions $\frac{x+3}{x+4}$ and $\frac{x-4}{x-3}$ , and simplify the result to lowest terms.

Solve $x=2Y+6z-y^2$ for $x$ given $y=6$ and $z=2$ . A) 12 B) 11 C) -11 D) -12

Find the $y$ -intercept of linear function $y = \frac{3}{4}x + 2$ and compare it to the $y$ -intercepts of the points for function B. Determine which statement is true about the $y$ -intercepts.

Solve $\sqrt{3}(3x-1)+\pi x=0$ numerically to the nearest tenth.

Find the values of $x$ that satisfy the inequality $|x| + 28 < 15$ .

Express velocity $v$ in terms of time $t$ using the equation $t=\frac{v}{4}+1$ .

Solve the radical equation $\sqrt{5 x+50}=x$ , and check all proposed solutions.

Solve $\left(z-7\right)^{\frac{4}{3}}=5$ for real number $z$ .

To find $5b$ , solve $15b = -60$ for $b$ , then multiply $b$ by $5$ .

Solve the linear equation $10-6v=-104$ for the variable $v$ .

Find the minimum point of the curve $y = x^2 - 6x + 5$ by completing the square.

Find the value of $f(-3)$ when the polynomial $f(x)=3x^2-25x+k$ has a remainder of 0 when divided by $(x-6)$ .

Solve the equation $49=1-(x+1)$ for x.

Simplify the expressions: $(3 m + 6)(4 m + 11)$ and $5 x(x - 4) - 2 x(x + 6)$ .

Choose the expression for $2 + 6j$ .

Find the value of $3^{3} + 3$ . Options: A. 12, B. 30, C. 27, D. 9.

Subtract two polynomials and simplify the result: $(-3x^5 + 9x^4 - 2x^3 + 2x^2) - (11x^5 + 7x^3 + 8x^2 + 6x)$ .

Solve for the value of $v$ in the quadratic equation $-8v-3=5v^2$ .

Solve the rational equation $\frac{8 x-16}{2 x-12}=-4$ .

Find the product of the sum and difference of two terms: $(7x^2 + 3)(7x^2 - 3)$ .

Find the solution to the linear equation $3x - 2 = 12(10x - 3)$ .

Find the value of $k$ that makes $x^2 - kx + 121 = 0$ a perfect square trinomial.

Solve the quadratic equation $x^2 + 3x - 18 = 0$ and find its real-valued solutions.

Solve and graph the inequality $8 > |2x + 3|$ , rounding the solution to the nearest tenth.

Find the values of $x$ that cannot be solutions to the equation $\frac{3 x}{3 x-8}-4=\frac{8}{7 x}$ .

Write a linear function $f$ with given values: $f(-4)=-2$ , $f(-2)=-1$ , $f(0)=0$ . Find the equation of $f(x)$ .

Solve the equation $|x+4| + 8 = 6$ or determine if no solution exists.

Solve for $c$ in the equation $3(2c+7)=4c+39$ .

Find the amount of hazelnuts and peanuts to make a 41 lb mixture that sells for $\$ 6.04$ per pound.

Solve the linear equation $0=2y-8x+10$ for $y$ .

Find the equation that represents a linear function: A. $y=\frac{1}{2} x^{2}-5$ B. $y=\frac{1}{2} x^{3}-5$ C. $y=\frac{1}{2} x+5$ D. $y=\left(\frac{1}{2}\right)^{x}-5$

Find the coordinates of the points where the circle $x^2 + y^2 = 16$ intersects the parabola $y = x^2 - x - 5$ . Round to the nearest hundredth.

Find the 5th term of the sequence $a_n = -43(-2)^{n-1}$ . Write the answer as a decimal or integer.

Simplify the expression $16x^{2} - 9$ .

Solve the linear equation $2x - 6 = 10$ for the value of $x$ .

Find the equation that shows how to multiply $1,000,000$ and $1,000,000$ using scientific notation: $A. (1 \times 10^{6}) \times (1 \times 10^{6}) = 1 \times 10^{12}$

Solve for $a$ in the equation $5^{3a-2}=8$ .

Find the expression that also defines the function $k(x)=9^x$ .

Determine the best-fit model for the data: $\{(x, y) | x = 0, 1, 2, 3, 4, 5; y = -17, -13, -3, 13, 35, 63\}$ .

Find $f(4c-1)$ if $f(x)=7x+1$ , where (A) $28c+6$ , (B) $21c+1$ , (C) $28c+1$ , (D) $28c-6$ .

Multiply the two binomials $(3x-9)(4x-7)$ using the FOIL or BOX method.

Graph the interval $\{x \in \mathbb{R} | x > 8\}$ on the number line.

Solve for the value of $j$ that satisfies the equation $(7j-9)(8j+9)=0$ .

Solve for $x$ and $y$ in the linear equation $12y = \frac{8x - 48}{3}$ .

Find the algebraic expression for the sum of 5 and $x$ multiplied by 2, then subtracted from 13.

Express $k^2 - 8k + 20$ as $a(k+b)^2 + c$ . Prove the equation $x^2 - kx + 2k = 5$ has real, distinct roots for all real $k$ .

Solve the equation $74=8x$ and select the correct answer from the options provided.

Solve the quadratic equation $z^2 - 10z = -50$ .

Find the value of $m$ given the equation $n=6+m$ .