Algebra

Problem 401

Find rational function $f(x) = \frac{ax + b}{cx + d}$ with $x$ -intercept at $\frac{1}{2}$ , $y$ -intercept at $-\frac{4}{3}$ , vertical asymptote at $x = -1$ , and horizontal asymptote at $y = \frac{8}{3}$ .

See Solution

Problem 402

Solve the equation $-5=(x+7)^{\frac{1}{2}}-11$ for the value of $x$ .

See Solution

Problem 403

Find the product of $P(x) = 4x$ and $R(x) = 4x - 6$ .

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Problem 404

Evaluate $\frac{1}{6}b + \frac{11}{24}$ when $b = \frac{1}{4}$ , and simplify the expression.

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Problem 405

Divide $x^{4}-4x^{2}-9x-15$ by $x+2$ . Divide $x^{3}-4x^{2}+5x-42$ by $x-5$ . Perform $F-1$ and $\frac{x^{4}-2x^{3}-52x^{2}+36x-28}{x-8}$ . Divide $x^{4}-8x^{3}+8x-58$ by $x-8$ . Divide $9x^{3}-73x^{2}+71x-2$ by $x-7$ . Divide $x^{4}-3x^{3}-47x^{2}+37x-21$ by $x+6$ . Divide $6x^{3}+47x^{2}+2x+84$ by $x+8$ .

See Solution

Problem 406

Solve for $D$ in the equation $18 + D = 8 + 6$ .

See Solution

Problem 407

Solve for $w$ in the equation $3w + 4 = 22$ by subtracting the same number from both sides and then dividing.

See Solution

Problem 408

Find $y$ when $y$ varies directly as $x$ , and $y=18$ when $x=5$ , given $x=11$ .

See Solution

Problem 409

Simplify the expression $e(e)(-5)$ .

See Solution

Problem 410

Fundraiser raised $x in week 1,$ 283 in week 2, $350 in week 3, and$ 140 in week 4. Find $x$ given the total of $955. Show steps to solve.

See Solution

Problem 411

Find the discriminant of the quadratic equation $-8x^2 - 9x - 1 = 0$ .

See Solution

Problem 412

Solve for $x$ in the equation $x(x-8)=0$ . Write the solutions as integers or simplified fractions.

See Solution

Problem 413

Solve for the variable $u$ in the equation $187 = 232 - u$ .

See Solution

Problem 414

Determine if the equation $-7+9=-9+7$ is true, false, or open.

See Solution

Problem 415

Determine reaction order, rate constant, and units for data: $[A](M)$ and $t(s)$ .

See Solution

Problem 416

Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

See Solution

Problem 417

Find all complex solutions to the equation $x + 2 + \frac{5}{x} = 0$ .

See Solution

Problem 418

Solve the absolute value equation $|6-2x| + 1 = 3$ for the unknown variable $x$ .

See Solution

Problem 419

Solve for $x$ in the equation $\frac{1}{9} x = 3$ .

See Solution

Problem 420

Solve for the variable $v$ in the equation $m-v=k$ .

See Solution

Problem 421

Solve the equation $\sqrt{7x+2}-2x=0$ for the value of $x$ .

See Solution

Problem 422

Solve the inequality $3x < 24$ and select the correct solution.

See Solution

Problem 423

Multiply $2 i(-6 i+6)$ and write the expression in standard form. Choose the correct answer.

See Solution

Problem 424

Find values of $y$ less than 5 on the number line range of -11 to 11.

See Solution

Problem 425

Rewrite $12x^2 - 36x + 28$ in the form $(4x - 4) \times q(x) + r(x)$ .

See Solution

Problem 426

Find the value of $y$ given the equation $\frac{y}{5}=2$ .

See Solution

Problem 427

Evaluate the expression $\frac{11^{-2}}{8^{2}}$ and write the result.

See Solution

Problem 428

Which expression shows a difference of squares? $10 y^{2}-4 x^{2}$ or $16 y^{2}-x^{2}$ ?

See Solution

Problem 429

Solve the equation $9 c(c-11)+10(5 c-3)=3 c(c+5)+c(6 c-3)-30$ for $c$ .

See Solution

Problem 430

For each $x$ , find $f(x)=3^{(x+1)}$ . Complete the table with $f(-1)$ .

See Solution

Problem 431

Solve the equation $0.75(m+5)+0.25m=8.75$ and express the solution set.

See Solution

Problem 432

Simplify $\frac{9x-63}{x^2-5x-14}$ by factoring and cancelling.

See Solution

Problem 433

Solve for $t$ in the equation $\frac{1}{r^{2}} = \frac{x+y}{t} + 8$ .

See Solution

Problem 434

Find solutions to the quadratic equation $2n(3n-12)=0$ .

See Solution

Problem 435

Find the value of $x$ that satisfies the equation $15x = -11$ . Express the answer as a simplified fraction, if applicable.

See Solution

Problem 436

Find the equation of a line with $x$ -intercept 3 and slope 2.

See Solution

Problem 437

Simplify the expression $\sqrt{8} \cdot \frac{1}{4} \sqrt{6}$ .

See Solution

Problem 438

Find the equivalent expression for $\sqrt[5]{x^{41}}$ when $x>0$ .

See Solution

Problem 439

Solve the quadratic equation $(-4 x^2 - 13 x + 4)(x - 3) + 4 x(x^2 - 1) + (x - 7)(x - 4) = 0$ .

See Solution

Problem 440

Simplify the rational expression $\frac{x-1}{(x-3)(x+1)}$ .

See Solution

Problem 441

Find the compositions $f \circ f$ and $g \circ g$ where $f(x) = x^2 - 4$ and $g(x) = x/3$ . Simplify your answers.
$(f \circ f)(x) = x^4 - 8x^2 + 16$ $(g \circ g)(x) = x/9$

See Solution

Problem 442

Solve the rational inequality $\frac{(x+7)(x-9)}{x-6}<0$ using the critical value method.

See Solution

Problem 443

Multiply $(-9) \times 7$ and enter the answer.

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Problem 444

Solve the absolute value equation $2|a|-1=3$ .

See Solution

Problem 445

Find the expression for the product of $(p-10 q)$ and $(p+10 q)$ .

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Problem 446

Find the value of $x$ where the ratios $(3x+2):(2x+5)$ and $7:5$ are equivalent. Provide the answer as an integer or simplified fraction.

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Problem 447

Convert the equation to standard form by completing the square on $x$ and $y$ . Graph the hyperbola, find the foci, and the equations of the asymptotes. $16 x^{2}-y^{2}-128 x-8 y+244=0$ The standard form of the equation is $\frac{(x-4)^2}{16}-\frac{y^2}{1}=1$ .

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Problem 448

Sell 21 tickets for a school play, with adult tickets at $6 and child tickets at$ 4. Solve for the number of adult and child tickets sold.
$a$ = number of adult tickets, $c$ = number of child tickets $a + c = 21$ $6a + 4c = 104$

See Solution

Problem 449

Solve the linear equation $15 + 6x = 45 + 8x$ for the unknown variable $x$ .

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Problem 450

Simplify the expression $3x(x+3)+x^2(x+3)$ .

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Problem 451

Factor the expression $6n^2 - n - 12$ . If it's not factorable, write "prime".

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Problem 452

Find the point of intersection of two linear equations: $4x - 2y = 1$ and $3x - 4y = 16$ .

See Solution

Problem 453

Harper knits a scarf 5 cm longer each night. Write an equation relating the number of nights $x$ and the scarf length $y$ (cm).
$y = 5x$

See Solution

Problem 454

Translate the phrase into a variable expression using $p$ to represent the number of plants divided among 8 yards.

See Solution

Problem 455

Solve for the value of $x$ given the equation $y=5(x-a)$ .

See Solution

Problem 456

Solve the equation using the Distributive Property: $\frac{1}{6}(p+24)=10$ , where $p=36$ .

See Solution

Problem 457

Find the value of $x$ that satisfies the equation $7x - 7 = 28$ . Verify the solution.

See Solution

Problem 458

Find the range of values for $x$ given the inequality $0 < 2x + 4 < 40$ .

See Solution

Problem 459

Find the equation of a line with slope 0.5.

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Problem 460

Multiply $(4x + 1/2)(2x + 1/2)$ using the FOIL method.

See Solution

Problem 461

Solve for x in the linear equation $3(x-4)=-9$ .

See Solution

Problem 462

Solve the linear equation $7x + 4 = 2x + 5$ for $x$ . The solution is $x = \square$ .

See Solution

Problem 463

Find parabola equation $y=ax^2+bx+c$ through 3 points: a) $A(-1,7)$ , $B(0,4)$ , $C(2,10)$ b) $A(-1,-6)$ , $B(1,0)$ , $C(3,-2)$ .

See Solution

Problem 464

Solve the equation $z^{2} + 9 = 10z$ .

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Problem 465

Solve for $u$ where $4^{u}=1024$ .

See Solution

Problem 466

Find the degree of the monomial $7 a^{5} b^{9}$ . The degree of the monomial is $14$ .

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Problem 467

Find the values of y that satisfy the equation $-2=4y^2-6y$ . Round the solutions to the nearest hundredth.

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Problem 468

Find the value of $y$ when $x=7$ , given the equation $y=x^{2}-7$ .

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Problem 469

5. Each question refers to geometric progressions: a) $a_{2}=2, a_{5}=\frac{1}{4}$ . Calculate $r, S_{6}$ and $S$ . b) $r=3, a_{3}=9$ . Determine $a_{n}, a_{7}$ and $P_{7}$ . c) $a_{1}=-6, r=\frac{2}{3}$ . Calculate $S_{4}$ and $S$ . d) $a_{n}=(-2)^{n-1}$ . Determine $S_{5}$ and $P_{5}$ .

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Problem 470

Evaluate $x^{2}-3y^{2}+2xy$ when $x=3$ and $y=-9$ .

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Problem 471

Write an interval notation for the set of all real numbers greater than 7.

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Problem 472

Evaluate the expression $(-3)^{3}$ .

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Problem 473

Find the exponent that makes the equation $2^{?} = 4$ true. The possible answers are $\frac{1}{2}, 1, 2, -2$ .

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Problem 474

Expand the expression $(x+6)(x+5)$ and illustrate the resulting product as a rectangle.

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Problem 475

Solve the linear equation $w + 3 = 3$ for the unknown variable $w$ .

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Problem 476

Solve the absolute value equation $2.5|x+4|=0.5|x+4|+10$ and classify the solution(s).

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Problem 477

Find the least possible value of integer constant $k$ in the equation $x(k x-56)=-16$ with no real solution.

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Problem 478

Divide polynomials using long division: a. $\left(k^{3}-k^{2}-k-2\right) \div(k-2)$ b. $\left(6 a^{3}+20 a^{2}-15 a+9\right) \div(a+4)$ c. $\left(n^{4}+10 n^{3}+21 n^{2}+6 n-8\right) \div(n+2)$ d. $\left(8 v^{5}+32 v^{4}+5 v+20\right) \div(v+4)$

See Solution

Problem 479

Solve $15(5c-7) = 9c-9$ using addition and multiplication. Find the correct value from the options: $\frac{114}{11}, \frac{16}{11}, \frac{4}{21}$ .

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Problem 480

Classify the polynomial $x^{2} - 6x + 9$ as a monomial, binomial, trinomial, or none of these.

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Problem 481

Solve the linear equation $-5u + 6 = -12u + 62$ for $u$ .

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Problem 482

Find the least common denominator (LCD) of the rational expressions $\frac{2}{x} + \frac{3}{x^{2}}$ .

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Problem 483

Isolate $y$ in the equation $10 x - y = 1$ .

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Problem 484

Solve $8c^2 - 41c = 42$ for $c$ . Provide exact solution(s).

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Problem 485

Resolver para $x$ , donde $-\frac{15}{4}=-3x$ . Simplificar la respuesta tanto como sea posible.

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Problem 486

Find the missing value in the equations: $10+\square=16$ and $12=\square+2$ .

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Problem 487

Find the number of solutions to $4x^2 - 2x + 7 = 0$ using the discriminant.

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Problem 488

Solve for $x$ in the equation $7^{x} = \frac{1}{7}$ . Express the answer as an integer or a simplified fraction.

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Problem 489

Evaluate the expression $6x + 5y - 1$ at $x=3, y=3$ and simplify.

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Problem 490

Solve for $z$ in the equation $5(2z-1)=-(3z-21)$ .

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Problem 491

If the linear correlation between two variables is negative, the slope of the regression line is \negative.

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Problem 492

Find the direct proportion model for $V$ and $I$ using the constant of proportion $k$ , where $V = k \cdot I$ .

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Problem 493

Solve for $x$ in the equation: 6(x+4) = 12(x-20)

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Problem 494

A system of 2 linear equations has positive slopes, but different slopes. Which statement is true? The equations are $\text{independent}$ , $\text{dependent}$ , or the lines are $\perp$ to each other.

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Problem 495

Find the transformation properties of the quadratic function $g(x) = 3(x-2)^{2}$ , including its vertex, domain, range, and axis of symmetry.

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Problem 496

Solve the linear equation $3(-9a-21)+11=8(a-1)-9$ for the variable $a$ .

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Problem 497

Solve the linear equation $-\frac{1}{4}(-16b-20)=-7b-16$ for the variable $b$ .

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Problem 498

Find the numerical coefficient and degree of the term $-7v^8$ .

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Problem 499

Find the domain and range of the function $f(x) = \frac{-4}{x^2 - 3x}$ .

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Problem 500

Find the ordered pair of the function $F(x)$ if $(9,33)$ is an ordered pair of its inverse.

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Algebra

Problem 401

Find rational function f(x)=ax+bcx+df(x) = \frac{ax + b}{cx + d}f(x)=cx+dax+b​ with xxx-intercept at 12\frac{1}{2}21​, yyy-intercept at −43-\frac{4}{3}−34​, vertical asymptote at x=−1x = -1x=−1, and horizontal asymptote at y=83y = \frac{8}{3}y=38​.

Problem 402

Solve the equation −5=(x+7)12−11-5=(x+7)^{\frac{1}{2}}-11−5=(x+7)21​−11 for the value of xxx.

Problem 403

Find the product of P(x)=4xP(x) = 4xP(x)=4x and R(x)=4x−6R(x) = 4x - 6R(x)=4x−6.

Problem 404

Evaluate 16b+1124\frac{1}{6}b + \frac{11}{24}61​b+2411​ when b=14b = \frac{1}{4}b=41​, and simplify the expression.

Problem 405

Problem 406

Solve for DDD in the equation 18+D=8+618 + D = 8 + 618+D=8+6.

Problem 407

Solve for www in the equation 3w+4=223w + 4 = 223w+4=22 by subtracting the same number from both sides and then dividing.

Problem 408

Find yyy when yyy varies directly as xxx, and y=18y=18y=18 when x=5x=5x=5, given x=11x=11x=11.

Problem 409

Simplify the expression e(e)(−5)e(e)(-5)e(e)(−5).

Problem 410

Fundraiser raised xinweek1,x in week 1, xinweek1,283 in week 2, 350inweek3,and350 in week 3, and 350inweek3,and140 in week 4. Find xxx given the total of $955. Show steps to solve.

Problem 411

Find the discriminant of the quadratic equation −8x2−9x−1=0-8x^2 - 9x - 1 = 0−8x2−9x−1=0.

Problem 412

Solve for xxx in the equation x(x−8)=0x(x-8)=0x(x−8)=0. Write the solutions as integers or simplified fractions.

Problem 413

Solve for the variable uuu in the equation 187=232−u187 = 232 - u187=232−u.

Problem 414

Determine if the equation −7+9=−9+7-7+9=-9+7−7+9=−9+7 is true, false, or open.

Problem 415

Determine reaction order, rate constant, and units for data: [A](M)[A](M)[A](M) and t(s)t(s)t(s).

Problem 416

Solve for uuu in the equation 3u=u+83u = u + 83u=u+8. Simplify the solution.

Problem 417

Find all complex solutions to the equation x+2+5x=0x + 2 + \frac{5}{x} = 0x+2+x5​=0.

Problem 418

Solve the absolute value equation ∣6−2x∣+1=3|6-2x| + 1 = 3∣6−2x∣+1=3 for the unknown variable xxx.

Problem 419

Solve for xxx in the equation 19x=3\frac{1}{9} x = 391​x=3.

Problem 420

Solve for the variable vvv in the equation m−v=km-v=km−v=k.

Problem 421

Solve the equation 7x+2−2x=0\sqrt{7x+2}-2x=07x+2​−2x=0 for the value of xxx.

Problem 422

Solve the inequality 3x<243x < 243x<24 and select the correct solution.

Problem 423

Multiply 2i(−6i+6)2 i(-6 i+6)2i(−6i+6) and write the expression in standard form. Choose the correct answer.

Problem 424

Find values of yyy less than 5 on the number line range of -11 to 11.

Problem 425

Rewrite 12x2−36x+2812x^2 - 36x + 2812x2−36x+28 in the form (4x−4)×q(x)+r(x)(4x - 4) \times q(x) + r(x)(4x−4)×q(x)+r(x).

Problem 426

Find the value of yyy given the equation y5=2\frac{y}{5}=25y​=2.

Problem 427

Evaluate the expression 11−282\frac{11^{-2}}{8^{2}}8211−2​ and write the result.

Problem 428

Which expression shows a difference of squares? 10y2−4x210 y^{2}-4 x^{2}10y2−4x2 or 16y2−x216 y^{2}-x^{2}16y2−x2?

Problem 429

Solve the equation 9c(c−11)+10(5c−3)=3c(c+5)+c(6c−3)−309 c(c-11)+10(5 c-3)=3 c(c+5)+c(6 c-3)-309c(c−11)+10(5c−3)=3c(c+5)+c(6c−3)−30 for ccc.

Problem 430

For each xxx, find f(x)=3(x+1)f(x)=3^{(x+1)}f(x)=3(x+1). Complete the table with f(−1)f(-1)f(−1).

Problem 431

Solve the equation 0.75(m+5)+0.25m=8.750.75(m+5)+0.25m=8.750.75(m+5)+0.25m=8.75 and express the solution set.

Problem 432

Simplify 9x−63x2−5x−14\frac{9x-63}{x^2-5x-14}x2−5x−149x−63​ by factoring and cancelling.

Problem 433

Solve for ttt in the equation 1r2=x+yt+8\frac{1}{r^{2}} = \frac{x+y}{t} + 8r21​=tx+y​+8.

Problem 434

Find solutions to the quadratic equation 2n(3n−12)=02n(3n-12)=02n(3n−12)=0.

Problem 435

Find the value of xxx that satisfies the equation 15x=−1115x = -1115x=−11. Express the answer as a simplified fraction, if applicable.

Problem 436

Find the equation of a line with xxx-intercept 3 and slope 2.

Problem 437

Simplify the expression 8⋅146\sqrt{8} \cdot \frac{1}{4} \sqrt{6}8​⋅41​6​.

Problem 438

Find the equivalent expression for x415\sqrt[5]{x^{41}}5x41​ when x>0x>0x>0.

Problem 439

Solve the quadratic equation (−4x2−13x+4)(x−3)+4x(x2−1)+(x−7)(x−4)=0(-4 x^2 - 13 x + 4)(x - 3) + 4 x(x^2 - 1) + (x - 7)(x - 4) = 0(−4x2−13x+4)(x−3)+4x(x2−1)+(x−7)(x−4)=0.

Problem 440

Simplify the rational expression x−1(x−3)(x+1)\frac{x-1}{(x-3)(x+1)}(x−3)(x+1)x−1​.

Find rational function $f(x) = \frac{ax + b}{cx + d}$ with $x$ -intercept at $\frac{1}{2}$ , $y$ -intercept at $-\frac{4}{3}$ , vertical asymptote at $x = -1$ , and horizontal asymptote at $y = \frac{8}{3}$ .

Solve the equation $-5=(x+7)^{\frac{1}{2}}-11$ for the value of $x$ .

Find the product of $P(x) = 4x$ and $R(x) = 4x - 6$ .

Evaluate $\frac{1}{6}b + \frac{11}{24}$ when $b = \frac{1}{4}$ , and simplify the expression.

Solve for $D$ in the equation $18 + D = 8 + 6$ .

Solve for $w$ in the equation $3w + 4 = 22$ by subtracting the same number from both sides and then dividing.

Find $y$ when $y$ varies directly as $x$ , and $y=18$ when $x=5$ , given $x=11$ .

Simplify the expression $e(e)(-5)$ .

Fundraiser raised $x in week 1,$ 283 in week 2, $350 in week 3, and$ 140 in week 4. Find $x$ given the total of $955. Show steps to solve.

Find the discriminant of the quadratic equation $-8x^2 - 9x - 1 = 0$ .

Solve for $x$ in the equation $x(x-8)=0$ . Write the solutions as integers or simplified fractions.

Solve for the variable $u$ in the equation $187 = 232 - u$ .

Determine if the equation $-7+9=-9+7$ is true, false, or open.

Determine reaction order, rate constant, and units for data: $[A](M)$ and $t(s)$ .

Solve for $u$ in the equation $3u = u + 8$ . Simplify the solution.

Find all complex solutions to the equation $x + 2 + \frac{5}{x} = 0$ .

Solve the absolute value equation $|6-2x| + 1 = 3$ for the unknown variable $x$ .

Solve for $x$ in the equation $\frac{1}{9} x = 3$ .

Solve for the variable $v$ in the equation $m-v=k$ .

Solve the equation $\sqrt{7x+2}-2x=0$ for the value of $x$ .

Solve the inequality $3x < 24$ and select the correct solution.

Multiply $2 i(-6 i+6)$ and write the expression in standard form. Choose the correct answer.

Find values of $y$ less than 5 on the number line range of -11 to 11.

Rewrite $12x^2 - 36x + 28$ in the form $(4x - 4) \times q(x) + r(x)$ .

Find the value of $y$ given the equation $\frac{y}{5}=2$ .

Evaluate the expression $\frac{11^{-2}}{8^{2}}$ and write the result.

Which expression shows a difference of squares? $10 y^{2}-4 x^{2}$ or $16 y^{2}-x^{2}$ ?

Solve the equation $9 c(c-11)+10(5 c-3)=3 c(c+5)+c(6 c-3)-30$ for $c$ .

For each $x$ , find $f(x)=3^{(x+1)}$ . Complete the table with $f(-1)$ .

Solve the equation $0.75(m+5)+0.25m=8.75$ and express the solution set.

Simplify $\frac{9x-63}{x^2-5x-14}$ by factoring and cancelling.

Solve for $t$ in the equation $\frac{1}{r^{2}} = \frac{x+y}{t} + 8$ .

Find solutions to the quadratic equation $2n(3n-12)=0$ .

Find the value of $x$ that satisfies the equation $15x = -11$ . Express the answer as a simplified fraction, if applicable.

Find the equation of a line with $x$ -intercept 3 and slope 2.

Simplify the expression $\sqrt{8} \cdot \frac{1}{4} \sqrt{6}$ .

Find the equivalent expression for $\sqrt[5]{x^{41}}$ when $x>0$ .

Solve the quadratic equation $(-4 x^2 - 13 x + 4)(x - 3) + 4 x(x^2 - 1) + (x - 7)(x - 4) = 0$ .

Simplify the rational expression $\frac{x-1}{(x-3)(x+1)}$ .

Find the compositions $f \circ f$ and $g \circ g$ where $f(x) = x^2 - 4$ and $g(x) = x/3$ . Simplify your answers.
$(f \circ f)(x) = x^4 - 8x^2 + 16$ $(g \circ g)(x) = x/9$

Solve the rational inequality $\frac{(x+7)(x-9)}{x-6}<0$ using the critical value method.

Multiply $(-9) \times 7$ and enter the answer.

Solve the absolute value equation $2|a|-1=3$ .

Find the expression for the product of $(p-10 q)$ and $(p+10 q)$ .

Find the value of $x$ where the ratios $(3x+2):(2x+5)$ and $7:5$ are equivalent. Provide the answer as an integer or simplified fraction.

Sell 21 tickets for a school play, with adult tickets at $6 and child tickets at$ 4. Solve for the number of adult and child tickets sold.
$a$ = number of adult tickets, $c$ = number of child tickets $a + c = 21$ $6a + 4c = 104$

Solve the linear equation $15 + 6x = 45 + 8x$ for the unknown variable $x$ .

Simplify the expression $3x(x+3)+x^2(x+3)$ .

Factor the expression $6n^2 - n - 12$ . If it's not factorable, write "prime".

Find the point of intersection of two linear equations: $4x - 2y = 1$ and $3x - 4y = 16$ .

Harper knits a scarf 5 cm longer each night. Write an equation relating the number of nights $x$ and the scarf length $y$ (cm).
$y = 5x$

Translate the phrase into a variable expression using $p$ to represent the number of plants divided among 8 yards.

Solve for the value of $x$ given the equation $y=5(x-a)$ .

Solve the equation using the Distributive Property: $\frac{1}{6}(p+24)=10$ , where $p=36$ .

Find the value of $x$ that satisfies the equation $7x - 7 = 28$ . Verify the solution.

Find the range of values for $x$ given the inequality $0 < 2x + 4 < 40$ .

Multiply $(4x + 1/2)(2x + 1/2)$ using the FOIL method.

Solve for x in the linear equation $3(x-4)=-9$ .

Solve the linear equation $7x + 4 = 2x + 5$ for $x$ . The solution is $x = \square$ .

Find parabola equation $y=ax^2+bx+c$ through 3 points: a) $A(-1,7)$ , $B(0,4)$ , $C(2,10)$ b) $A(-1,-6)$ , $B(1,0)$ , $C(3,-2)$ .

Solve the equation $z^{2} + 9 = 10z$ .

Solve for $u$ where $4^{u}=1024$ .

Find the degree of the monomial $7 a^{5} b^{9}$ . The degree of the monomial is $14$ .

Find the values of y that satisfy the equation $-2=4y^2-6y$ . Round the solutions to the nearest hundredth.

Find the value of $y$ when $x=7$ , given the equation $y=x^{2}-7$ .

Evaluate $x^{2}-3y^{2}+2xy$ when $x=3$ and $y=-9$ .

Evaluate the expression $(-3)^{3}$ .

Find the exponent that makes the equation $2^{?} = 4$ true. The possible answers are $\frac{1}{2}, 1, 2, -2$ .

Expand the expression $(x+6)(x+5)$ and illustrate the resulting product as a rectangle.