Browse Algebra problems in the Studdy Learning Bank!

Problem 1401

Solve the linear equation $8.6x + 4.4x - 11 = 54$ for the value of $x$ .

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Problem 1402

Solve the equation $4x + 9 = 33$ and check the solutions $x = 7$ and $x = 6$ using substitution.

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Problem 1403

Find $f(g(h(11/2)))$ given $f(x)=\sqrt{x-4}$ , $g(x)=\frac{1}{2}x+1$ , and $h(x)=2x-3$ .

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Problem 1404

Solve the equation $x^{\frac{2}{5}} = 300$ for the value of $x$ .

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Problem 1405

Find your age if $x^2 - 28x = 60$ , where $x$ represents your age.

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Problem 1406

Solve the quadratic equation $2y(y+5)-5=0$ using the quadratic formula. Provide the solution(s) in the form $y=\square$ .

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Problem 1407

Solve the equation $4(0.2x - 5) = 12$ . Find all real solutions.

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Problem 1408

Solve the inequality $2x + 1 < 5$ .

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Problem 1409

Find the real numbers $x$ that satisfy the equation $|x| = x$ . Express the solution set in set-builder notation.

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Problem 1410

Solve for the absolute value of $k$ equals 72 minus 9.

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Problem 1411

Find the equation representing "0.9 increased by a number is 5.2".
$0.9 + n = 5.2$

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Problem 1412

Solve the absolute value equation $|x+12|=15$ for the value of $x$ .

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Problem 1413

Find the number of students $x$ in a classroom where 9 students left and there are now 36 students.

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Problem 1414

Find the y-intercept of the additive relationship between $x$ and $y$ given in the table: $x = \{2, 3, 4, 5, 6\}$ , $y = \{7, 8, 9, 10, 11\}$ .

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Problem 1415

Solve for $x$ in the linear equation $3x + 4 = 9x + 3$ .

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Problem 1416

Rewrite $h(x)=2x^2+11x+15$ as $(x+a)^2+b$ , where $a$ and $b$ are constants.

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Problem 1417

Solve for $x$ in the equation $6x = 42$ .

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Problem 1418

Solve the equation with rational exponents: $(x-5)^{2/3} = 64$ . Select the correct choice: A. The solution set is $x = 10$ B. The solution set is the empty set

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Problem 1419

Solve the equation $7z - 23 = z + 7$ using addition and multiplication properties of equality, then check the solution.

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Problem 1420

Solve the linear equation $x+13=-19$ for the value of $x$ .

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Problem 1421

Divide the multivariate polynomial $-27 u^{2} z^{3}+12 u^{3} z^{6}-8 u z^{2}$ by the monomial $-4 u^{2} z^{3}$ and simplify the result.

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Problem 1422

Simplify the expression: $3.2 - 9x + 7.1 - 3x$ .

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Problem 1423

Find equation for total cost $y$ of tile backsplash with installation fee $\$ 150$ and tile price $\$ 2.75$ per square foot $x$ .

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Problem 1424

Choose the correct expression equivalent to $2^{2} \cdot 2^{3}$ , $\frac{2^{5}}{2^{1}}$ , and $\left(2^{2}\right)^{3}$ .

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Problem 1425

Find the expression equivalent to $9 a^{1 / 2} b^{14} c^{3 / 2}$ . Options: A) $\sqrt{3 a b^{28} c^{3}}$ , B) $\sqrt{3 a b^{7} c^{3}}$ , C) $\sqrt{81 a b^{28} c^{3}}$ , D) $\sqrt{81 a b^{7} c^{3}}$ .

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Problem 1426

Solve the linear equation $10+5x=-10$ for $x$ .

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Problem 1427

Solve the equation $6d=342$ and find the value of $d$ .

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Problem 1428

Solve for the absolute value of $u$ that satisfies the equation $5|2u| = 20$ .

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Problem 1429

Use De Morgan's laws to write an equivalent statement to " $\neg (4:00 \vee \text{time to go})$ ". Choose the correct answer: B. $\neg 4:00 \wedge \neg \text{time to go}$

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Problem 1430

Find the equation of a parabola with vertex at $(-1,-3)$ passing through $(3,-1)$ and $(0,-4)$ .

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Problem 1431

Solve for $x$ in the equation: " $x$ plus 21 minus 10 equals 20".

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Problem 1432

Solve the linear equation $2m + 1 = 9$ for the value of $m$ .

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Problem 1433

Describe the transformation of $f(x) = \frac{1}{2}x - 2$ to have slope 2 and $y$ -intercept -8.

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Problem 1434

Solve $2.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}$ for $t$ .

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Problem 1435

Find the true statements about the polynomial $f(x) = x^{2} - 12x + 36$ . Options: A) Two distinct linear factors, B) Roots at $x = \pm 6$ , C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

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Problem 1436

Find the number $x$ such that $3.3 + 6x = 53.1$ .

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Problem 1437

Determine if the point $(5,5)$ satisfies the equation $y=x$ .

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Problem 1438

Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

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Problem 1439

Find the $y$ -value of the solution to the system of equations created by the line $3x-2y=-4$ and the line passing through the points $(-3,-9), (-1,-5), (3,3), (5,7)$ .

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Problem 1440

Find the product of $(2 \sqrt{7}+3 \sqrt{6})$ and $(5 \sqrt{2}+4 \sqrt{3})$ .

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Problem 1441

Simplify the ratio $\sqrt{32} : \sqrt{50}$ .

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Problem 1442

Find the value of $q$ that satisfies the equation $68=5+9q$ . The solutions are $q=7$ and $q=9$ .

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Problem 1443

Find the value of $a$ that satisfies the equation $6^{7}=a$ .

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Problem 1444

Simplify the expression $2(-12x - \frac{3}{2}) + 4x$ .

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Problem 1445

Graph the solution set of the linear inequalities system: $x + 4y \leq 8$ and $y \geq x - 2$ .

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Problem 1446

Find the equation with zeros at -3 and 4: $x^2 - x - 12 = 0$

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Problem 1447

Solve the quadratic equation $2 d^{2} + 14 d - 16 = 0$ and select the correct solution.

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Problem 1448

Solve the linear equation $42,000+3,000 x=90,000-5,000 x$ for $x$ .

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Problem 1449

Solve the following linear equations: $-6 x=18$ , $x-3=12$ , $-\frac{x}{4}=3$ .

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Problem 1450

Solve the equation $6.8x + 9.3 = -9.4 + 3.4(2 - 5x)$ by distributing, combining terms, and applying properties.

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Problem 1451

Determine which values satisfy the inequality $\frac{2}{5} y - 13 > -15$ and mark them in the table.

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Problem 1452

Solve the system of equations: $x^2 + y^2 = 16$ and $x - y = 2$ .

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Problem 1453

Match each linear equation with an equivalent equation. Some choices are not used. A. $3x+6=4x+7$ B. $3(x+6)=4x+7$ C. $4x+3x=7-6$

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Problem 1454

Solve the quadratic equation $6 x^{2} - 13 x + 5 = 0$ and find the four possible solutions for $x$ .

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Problem 1455

Найдите наклон и точку, через которую проходит прямая линия, заданная уравнением $y - x = 8$ .

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Problem 1456

Correct the error in the equation $2(x-4y)+3y=2x+11y$ . Choose the answer that fixes the error.

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Problem 1457

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

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Problem 1458

Find the value of the expression $-(3)^{4}$ .

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Problem 1459

Find the expression with rational exponents that equals $\sqrt[4]{81 x^{3} y^{4} z^{8}}$ .

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Problem 1460

Find the value of $x$ that satisfies the equation $3 = (2x + 27)^{1/4}$ .

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Problem 1461

Find the value of $x$ in the equation $15+x=27$ .

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Problem 1462

Find the value of $u$ given the equation $1 = \frac{u}{2}$ . Also, find the value of $w$ .

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Problem 1463

$n$ such that $n \geq 4$

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Problem 1464

Find the value of $X^2$ in the equation $m=\frac{(2-(-7))}{((-4)-(-6))}$ .

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Problem 1465

Find the ordered pairs $(x, y)$ that satisfy the equation $f(x) = x^2 - 9 = y$ .

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Problem 1466

Find the solutions to the equation $(x-32)^{2}=56$ given $x= \pm 2 \sqrt{ } 22$ , $x= \pm 2 \sqrt{ } 6$ , $x=4 \sqrt{5} \pm 2 \sqrt{ } 14$ , and $x=32 \pm 2 \sqrt{ } 14$ .

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Problem 1467

Solve the linear equation $3(9-8x-4x)+8(3x+4)=11$ and select the correct solution.

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Problem 1468

Determine if the following statements are true, false, or open: a. $-4(5 x)=12$ b. $4 \times 6=24$ c. $a+4=6$ , when $a=2$ d. $4 x=19$ , when $x$ equals 5

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Problem 1469

Find the equation that best fits the data set {(-4,-4.8),(-3,-8.2),(-2,-9.1),(-1,-8.1),(0,-4.7),(1,0.3)}. (a) $y=1.1x+4.2$ (b) $y=1.1x^2+4.2x+4.9$ (c) $y=1.1x^2+4.2x-4.9$ (d) $y=1.1x-4.2$

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Problem 1470

Solve for $k$ in the equation $7(9+k)=84$ .

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Problem 1471

Simplify $\frac{x^{-3}}{x^{2}}$ . Express $\log x^{3} - \log y^{2}$ as a single $\log$ expression.

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Problem 1472

Solve the linear equation $\frac{x}{3} + 10 = 15$ for the value of $x$ .

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Problem 1473

Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

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Problem 1474

Which of these statements is true about the quadratic functions $f(x)=-15 x^{2}+32$ and $g(x)=-17 x^{2}+5 x+32$ ?

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Problem 1475

Find $y$ varies directly with $x$ . If $x=5$ then $y=15$ . Determine the constant of variation $k$ .

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Problem 1476

Expand the expression $3(x-8)$ and simplify the result.

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Problem 1477

Find the x-intercept, y-intercept, and rotational symmetry of the function $f(x)=-(x+3)^{3}+2$ .

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Problem 1478

Solve the absolute value equation $|3x-1| = 10$ for the real number value(s) of $x$ .

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Problem 1479

Solve for $y$ where $|3y+6|=12$ . Solutions: $y=-6, y=2$ .

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Problem 1480

Solve for $d$ in the equation $30-\frac{d}{3}=18$ .

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Problem 1481

Solve the linear equation $-16y = -32$ to find the value of $y$ .

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Problem 1482

Solve the equation $6-2|3x+5|=0$ for $x$ . The solution(s) are integer(s) or reduced fraction(s).

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Problem 1483

Determine the type of system of linear equations with equations $y=\frac{1}{2} x-\frac{5}{2}$ and $y=x-2$ .

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Problem 1484

Find an expression for the number of permutations of 3 items from $n$ items without using factorial notation.

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Problem 1485

Solve the inequality $x^{2} < x + 12$ and express the answer using interval notation.

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Problem 1486

Simplify the expression $(6 z-i)^{2}$ as a trinomial.

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Problem 1487

Solve for $x$ where $2\sqrt{x-2}=8$ , presented in tabular form.

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Problem 1488

Solve the linear equation $-x-2(9-8x)=12$ for the unknown variable $x$ .

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Problem 1489

Find the sum of $2x^2 + 3x + 2$ and $3x^2 - 5x - 1$ .

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Problem 1490

Determine if ordered pairs satisfy a system of two linear equations: $y = \frac{1}{3}x - 2, y = \frac{2}{6}x - \frac{12}{6}$ . Complete a table and find the number of solutions.

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Problem 1491

Solve the linear equation $2x - 14 = 50$ for the value of $x$ .

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Problem 1492

Graph a line with equation $f(x) = -0.25x + 4$ . Select two points on the line to create the graph.

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Problem 1493

Solve the linear equation $612 + 25x = 912$ for the unknown variable $x$ .

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Problem 1494

Rearrange the steps to solve $5^{(6 x-9)}=125$ .

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Problem 1495

Solve the equation $4y - 7 = 5x^2 - x + 2 + 3y$ for $x$ and $y$ .

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Problem 1496

Find the value of $z$ that satisfies the equation $\frac{z+12}{-4}=0$ .

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Problem 1497

Bakery has a 13% off sale on bread. You buy 6 loaves. Let $\mathrm{b}$ be the original price. Expand $6(b-0.13b)$ . What do the terms represent?

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Problem 1498

Solve the linear equation $\frac{2}{3}(x-7) = -2$ for the value of $x$ .

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Problem 1499

Solve for the value of $p$ given the equation $2(p+1)=16$ .

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Problem 1500

Solve the linear equation $-5b - 12 = 18$ for the variable $b$ .

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Algebra

Problem 1401

Solve the linear equation 8.6x+4.4x−11=548.6x + 4.4x - 11 = 548.6x+4.4x−11=54 for the value of xxx.

Problem 1402

Solve the equation 4x+9=334x + 9 = 334x+9=33 and check the solutions x=7x = 7x=7 and x=6x = 6x=6 using substitution.

Problem 1403

Find f(g(h(11/2)))f(g(h(11/2)))f(g(h(11/2))) given f(x)=x−4f(x)=\sqrt{x-4}f(x)=x−4​, g(x)=12x+1g(x)=\frac{1}{2}x+1g(x)=21​x+1, and h(x)=2x−3h(x)=2x-3h(x)=2x−3.

Problem 1404

Solve the equation x25=300x^{\frac{2}{5}} = 300x52​=300 for the value of xxx.

Problem 1405

Find your age if x2−28x=60x^2 - 28x = 60x2−28x=60, where xxx represents your age.

Problem 1406

Solve the quadratic equation 2y(y+5)−5=02y(y+5)-5=02y(y+5)−5=0 using the quadratic formula. Provide the solution(s) in the form y=□y=\squarey=□.

Problem 1407

Solve the equation 4(0.2x−5)=124(0.2x - 5) = 124(0.2x−5)=12. Find all real solutions.

Problem 1408

Solve the inequality 2x+1<52x + 1 < 52x+1<5.

Problem 1409

Find the real numbers xxx that satisfy the equation ∣x∣=x|x| = x∣x∣=x. Express the solution set in set-builder notation.

Problem 1410

Solve for the absolute value of kkk equals 72 minus 9.

Problem 1411

Find the equation representing "0.9 increased by a number is 5.2".0.9+n=5.20.9 + n = 5.20.9+n=5.2

Problem 1412

Solve the absolute value equation ∣x+12∣=15|x+12|=15∣x+12∣=15 for the value of xxx.

Problem 1413

Find the number of students xxx in a classroom where 9 students left and there are now 36 students.

Problem 1414

Find the y-intercept of the additive relationship between xxx and yyy given in the table: x={2,3,4,5,6}x = \{2, 3, 4, 5, 6\}x={2,3,4,5,6}, y={7,8,9,10,11}y = \{7, 8, 9, 10, 11\}y={7,8,9,10,11}.

Problem 1415

Solve for xxx in the linear equation 3x+4=9x+33x + 4 = 9x + 33x+4=9x+3.

Problem 1416

Rewrite h(x)=2x2+11x+15h(x)=2x^2+11x+15h(x)=2x2+11x+15 as (x+a)2+b(x+a)^2+b(x+a)2+b, where aaa and bbb are constants.

Problem 1417

Solve for xxx in the equation 6x=426x = 426x=42.

Problem 1418

Solve the equation with rational exponents: (x−5)2/3=64(x-5)^{2/3} = 64(x−5)2/3=64. Select the correct choice: A. The solution set is x=10x = 10x=10 B. The solution set is the empty set

Problem 1419

Solve the equation 7z−23=z+77z - 23 = z + 77z−23=z+7 using addition and multiplication properties of equality, then check the solution.

Problem 1420

Solve the linear equation x+13=−19x+13=-19x+13=−19 for the value of xxx.

Problem 1421

Divide the multivariate polynomial −27u2z3+12u3z6−8uz2-27 u^{2} z^{3}+12 u^{3} z^{6}-8 u z^{2}−27u2z3+12u3z6−8uz2 by the monomial −4u2z3-4 u^{2} z^{3}−4u2z3 and simplify the result.

Problem 1422

Simplify the expression: 3.2−9x+7.1−3x3.2 - 9x + 7.1 - 3x3.2−9x+7.1−3x.

Problem 1423

Find equation for total cost yyy of tile backsplash with installation fee $150\$ 150$150 and tile price $2.75\$ 2.75$2.75 per square foot xxx.

Problem 1424

Choose the correct expression equivalent to 22⋅232^{2} \cdot 2^{3}22⋅23, 2521\frac{2^{5}}{2^{1}}2125​, and (22)3\left(2^{2}\right)^{3}(22)3.

Problem 1425

Find the expression equivalent to 9a1/2b14c3/29 a^{1 / 2} b^{14} c^{3 / 2}9a1/2b14c3/2. Options: A) 3ab28c3\sqrt{3 a b^{28} c^{3}}3ab28c3​, B) 3ab7c3\sqrt{3 a b^{7} c^{3}}3ab7c3​, C) 81ab28c3\sqrt{81 a b^{28} c^{3}}81ab28c3​, D) 81ab7c3\sqrt{81 a b^{7} c^{3}}81ab7c3​.

Problem 1426

Solve the linear equation 10+5x=−1010+5x=-1010+5x=−10 for xxx.

Problem 1427

Solve the equation 6d=3426d=3426d=342 and find the value of ddd.

Problem 1428

Solve for the absolute value of uuu that satisfies the equation 5∣2u∣=205|2u| = 205∣2u∣=20.

Problem 1429

Use De Morgan's laws to write an equivalent statement to "¬(4:00∨time to go)\neg (4:00 \vee \text{time to go})¬(4:00∨time to go)". Choose the correct answer: B. ¬4:00∧¬time to go\neg 4:00 \wedge \neg \text{time to go}¬4:00∧¬time to go

Problem 1430

Find the equation of a parabola with vertex at (−1,−3)(-1,-3)(−1,−3) passing through (3,−1)(3,-1)(3,−1) and (0,−4)(0,-4)(0,−4).

Problem 1431

Solve for xxx in the equation: "xxx plus 21 minus 10 equals 20".

Problem 1432

Solve the linear equation 2m+1=92m + 1 = 92m+1=9 for the value of mmm.

Problem 1433

Describe the transformation of f(x)=12x−2f(x) = \frac{1}{2}x - 2f(x)=21​x−2 to have slope 2 and yyy-intercept -8.

Problem 1434

Solve 2.4−3t⋅2.4−5=2.4112.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}2.4−3t⋅2.4−5=2.411 for ttt.

Problem 1435

Find the true statements about the polynomial f(x)=x2−12x+36f(x) = x^{2} - 12x + 36f(x)=x2−12x+36. Options: A) Two distinct linear factors, B) Roots at x=±6x = \pm 6x=±6, C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

Problem 1436

Find the number xxx such that 3.3+6x=53.13.3 + 6x = 53.13.3+6x=53.1.

Problem 1437

Determine if the point (5,5)(5,5)(5,5) satisfies the equation y=xy=xy=x.

Problem 1438

Find the value of aaa when 5a−10b=455a - 10b = 455a−10b=45 and b=3b = 3b=3.

Problem 1439

Find the yyy-value of the solution to the system of equations created by the line 3x−2y=−43x-2y=-43x−2y=−4 and the line passing through the points (−3,−9),(−1,−5),(3,3),(5,7)(-3,-9), (-1,-5), (3,3), (5,7)(−3,−9),(−1,−5),(3,3),(5,7).

Problem 1440

Solve the linear equation $8.6x + 4.4x - 11 = 54$ for the value of $x$ .

Solve the equation $4x + 9 = 33$ and check the solutions $x = 7$ and $x = 6$ using substitution.

Find $f(g(h(11/2)))$ given $f(x)=\sqrt{x-4}$ , $g(x)=\frac{1}{2}x+1$ , and $h(x)=2x-3$ .

Solve the equation $x^{\frac{2}{5}} = 300$ for the value of $x$ .

Find your age if $x^2 - 28x = 60$ , where $x$ represents your age.

Solve the quadratic equation $2y(y+5)-5=0$ using the quadratic formula. Provide the solution(s) in the form $y=\square$ .

Solve the equation $4(0.2x - 5) = 12$ . Find all real solutions.

Solve the inequality $2x + 1 < 5$ .

Find the real numbers $x$ that satisfy the equation $|x| = x$ . Express the solution set in set-builder notation.

Solve for the absolute value of $k$ equals 72 minus 9.

Find the equation representing "0.9 increased by a number is 5.2".
$0.9 + n = 5.2$

Solve the absolute value equation $|x+12|=15$ for the value of $x$ .

Find the number of students $x$ in a classroom where 9 students left and there are now 36 students.

Find the y-intercept of the additive relationship between $x$ and $y$ given in the table: $x = \{2, 3, 4, 5, 6\}$ , $y = \{7, 8, 9, 10, 11\}$ .

Solve for $x$ in the linear equation $3x + 4 = 9x + 3$ .

Rewrite $h(x)=2x^2+11x+15$ as $(x+a)^2+b$ , where $a$ and $b$ are constants.

Solve for $x$ in the equation $6x = 42$ .

Solve the equation with rational exponents: $(x-5)^{2/3} = 64$ . Select the correct choice: A. The solution set is $x = 10$ B. The solution set is the empty set

Solve the equation $7z - 23 = z + 7$ using addition and multiplication properties of equality, then check the solution.

Solve the linear equation $x+13=-19$ for the value of $x$ .

Divide the multivariate polynomial $-27 u^{2} z^{3}+12 u^{3} z^{6}-8 u z^{2}$ by the monomial $-4 u^{2} z^{3}$ and simplify the result.

Simplify the expression: $3.2 - 9x + 7.1 - 3x$ .

Find equation for total cost $y$ of tile backsplash with installation fee $\$ 150$ and tile price $\$ 2.75$ per square foot $x$ .

Choose the correct expression equivalent to $2^{2} \cdot 2^{3}$ , $\frac{2^{5}}{2^{1}}$ , and $\left(2^{2}\right)^{3}$ .

Find the expression equivalent to $9 a^{1 / 2} b^{14} c^{3 / 2}$ . Options: A) $\sqrt{3 a b^{28} c^{3}}$ , B) $\sqrt{3 a b^{7} c^{3}}$ , C) $\sqrt{81 a b^{28} c^{3}}$ , D) $\sqrt{81 a b^{7} c^{3}}$ .

Solve the linear equation $10+5x=-10$ for $x$ .

Solve the equation $6d=342$ and find the value of $d$ .

Solve for the absolute value of $u$ that satisfies the equation $5|2u| = 20$ .

Use De Morgan's laws to write an equivalent statement to " $\neg (4:00 \vee \text{time to go})$ ". Choose the correct answer: B. $\neg 4:00 \wedge \neg \text{time to go}$

Find the equation of a parabola with vertex at $(-1,-3)$ passing through $(3,-1)$ and $(0,-4)$ .

Solve for $x$ in the equation: " $x$ plus 21 minus 10 equals 20".

Solve the linear equation $2m + 1 = 9$ for the value of $m$ .

Describe the transformation of $f(x) = \frac{1}{2}x - 2$ to have slope 2 and $y$ -intercept -8.

Solve $2.4^{-3t} \cdot 2.4^{-5} = 2.4^{11}$ for $t$ .

Find the true statements about the polynomial $f(x) = x^{2} - 12x + 36$ . Options: A) Two distinct linear factors, B) Roots at $x = \pm 6$ , C) At least one complex root, D) Satisfies Fundamental Theorem of Algebra.

Find the number $x$ such that $3.3 + 6x = 53.1$ .

Determine if the point $(5,5)$ satisfies the equation $y=x$ .

Find the value of $a$ when $5a - 10b = 45$ and $b = 3$ .

Find the $y$ -value of the solution to the system of equations created by the line $3x-2y=-4$ and the line passing through the points $(-3,-9), (-1,-5), (3,3), (5,7)$ .

Find the product of $(2 \sqrt{7}+3 \sqrt{6})$ and $(5 \sqrt{2}+4 \sqrt{3})$ .

Simplify the ratio $\sqrt{32} : \sqrt{50}$ .

Find the value of $q$ that satisfies the equation $68=5+9q$ . The solutions are $q=7$ and $q=9$ .

Find the value of $a$ that satisfies the equation $6^{7}=a$ .

Simplify the expression $2(-12x - \frac{3}{2}) + 4x$ .

Graph the solution set of the linear inequalities system: $x + 4y \leq 8$ and $y \geq x - 2$ .

Find the equation with zeros at -3 and 4: $x^2 - x - 12 = 0$

Solve the quadratic equation $2 d^{2} + 14 d - 16 = 0$ and select the correct solution.

Solve the linear equation $42,000+3,000 x=90,000-5,000 x$ for $x$ .

Solve the following linear equations: $-6 x=18$ , $x-3=12$ , $-\frac{x}{4}=3$ .

Solve the equation $6.8x + 9.3 = -9.4 + 3.4(2 - 5x)$ by distributing, combining terms, and applying properties.

Determine which values satisfy the inequality $\frac{2}{5} y - 13 > -15$ and mark them in the table.

Solve the system of equations: $x^2 + y^2 = 16$ and $x - y = 2$ .

Match each linear equation with an equivalent equation. Some choices are not used. A. $3x+6=4x+7$ B. $3(x+6)=4x+7$ C. $4x+3x=7-6$

Solve the quadratic equation $6 x^{2} - 13 x + 5 = 0$ and find the four possible solutions for $x$ .

Найдите наклон и точку, через которую проходит прямая линия, заданная уравнением $y - x = 8$ .

Correct the error in the equation $2(x-4y)+3y=2x+11y$ . Choose the answer that fixes the error.

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

Find the value of the expression $-(3)^{4}$ .

Find the expression with rational exponents that equals $\sqrt[4]{81 x^{3} y^{4} z^{8}}$ .

Find the value of $x$ that satisfies the equation $3 = (2x + 27)^{1/4}$ .

Find the value of $x$ in the equation $15+x=27$ .

Find the value of $u$ given the equation $1 = \frac{u}{2}$ . Also, find the value of $w$ .

$n$ such that $n \geq 4$

Find the value of $X^2$ in the equation $m=\frac{(2-(-7))}{((-4)-(-6))}$ .

Find the ordered pairs $(x, y)$ that satisfy the equation $f(x) = x^2 - 9 = y$ .

Find the solutions to the equation $(x-32)^{2}=56$ given $x= \pm 2 \sqrt{ } 22$ , $x= \pm 2 \sqrt{ } 6$ , $x=4 \sqrt{5} \pm 2 \sqrt{ } 14$ , and $x=32 \pm 2 \sqrt{ } 14$ .

Solve the linear equation $3(9-8x-4x)+8(3x+4)=11$ and select the correct solution.

Determine if the following statements are true, false, or open: a. $-4(5 x)=12$ b. $4 \times 6=24$ c. $a+4=6$ , when $a=2$ d. $4 x=19$ , when $x$ equals 5

Find the equation that best fits the data set {(-4,-4.8),(-3,-8.2),(-2,-9.1),(-1,-8.1),(0,-4.7),(1,0.3)}. (a) $y=1.1x+4.2$ (b) $y=1.1x^2+4.2x+4.9$ (c) $y=1.1x^2+4.2x-4.9$ (d) $y=1.1x-4.2$

Solve for $k$ in the equation $7(9+k)=84$ .

Simplify $\frac{x^{-3}}{x^{2}}$ . Express $\log x^{3} - \log y^{2}$ as a single $\log$ expression.

Solve the linear equation $\frac{x}{3} + 10 = 15$ for the value of $x$ .

Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

Which of these statements is true about the quadratic functions $f(x)=-15 x^{2}+32$ and $g(x)=-17 x^{2}+5 x+32$ ?