Browse Algebra problems in the Studdy Learning Bank!

Problem 2501

Solve the equation $q+5=3$ using addition or subtraction property. Check the solution set.

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Problem 2502

Solve for $z$ where $1=|z-2|-9$ . Write the solution(s) as integers or simplified fractions.

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Problem 2503

Solve the equation $(2y+5)^2=25$ using the square root method.

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Problem 2504

Solve for $p$ where $3 > 2p - 3$ .

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Problem 2505

Find the smaller number $x$ given that $x(x+3)=550$ . Solve the quadratic equation.

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Problem 2506

Identify which linear equations have the same solution set as $\frac{2}{3}-x+\frac{1}{6}=6 x$ without solving.
Options: $4-6 x+1=36 x$ $\frac{5}{6}-x=6 x$ $4-x+1=6 x$ $\frac{5}{6}+x=6 x$ $5=30 x$ $5=42 x$

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Problem 2507

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

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Problem 2508

Gráfica la ecuación lineal $y = -6x + 3$ .

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Problem 2509

Solve for $x$ in $9-10x=2x+1-8x$ . Select the correct answer: A) $x=-2$ , B) $x=-\frac{1}{2}$ , C) $x=2$ , D) $x=\frac{1}{2}$ .

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Problem 2510

Find the quotient of the given rational expressions and simplify. $\frac{x-1}{-2-x} \div \frac{x^{2}-3x-4}{x^{2}+3x+2}$

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Problem 2511

Find $Z$ given $W=XYZ$ .

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Problem 2512

Simplify the expression $-2x - 6y - 2x$ by combining like terms.

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Problem 2513

A golfer scored 82, 76, and 67 on rounds. Their average score was $71$ . Determine the total number of rounds played.

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Problem 2514

Find the equation with the same solution as $x-12=40$ .

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Problem 2515

Find the derivative of the linear equation $y = mx + b$ .

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Problem 2516

Find the expression that is not a polynomial from: $\frac{x^{3}+1}{x}$ , $\frac{1}{3} x^{3}$ , $x^{2}-2 x$ , $12 x$ .

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Problem 2517

Two pools are being filled at different rates. Find the time and amount of water when they have the same amount, given initial amounts and fill rates of $923$ and $1300$ liters, and $35.75$ and $21.25$ liters per minute, respectively.

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Problem 2518

Solve for $g$ in the formula $s=\frac{1}{2} g t^{2}$ . Options: A) $g=\frac{t^{2}}{2 s}$ , B) $g=\frac{2 t^{2}}{s}$ , C) $g=\frac{2 s}{t^{2}}$ , D) $g=\frac{2}{s t^{2}}$ .

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Problem 2519

Find the solution to $f(x) = 48 + 1.2x = 0$ and the $x$ -intercept of $y = f(x)$ . Simplify the solution.

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Problem 2520

Solve the linear equation $-1/3 y = 8/3$ for the value of $y$ .

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Problem 2521

Order the numbers from greatest to least: $\sqrt{121}, 3^{2}, \frac{33}{4}, 120 \%$ .

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Problem 2522

Solve the equation $|7x| = 56$ . Find the value(s) of $x$ .

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Problem 2523

Explain each step in solving the equation $-6x = -2(x + 12)$ .

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Problem 2524

Classify the equation $8x + 8 = 8(x + 3) - 3$ as contradiction, identity, or conditional. Give the solution set.

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Problem 2525

Graph a set of $\{-2, -7, -6\}$ on a number line, then find the maximum, minimum, and mean of the data.

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Problem 2526

Solve the quadratic equation $x^2 + 11x = 1$ by factoring and find its real number solutions.

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Problem 2527

Solve the linear equation $4 m - 8 = 12$ for the variable $m$ .

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Problem 2528

Find $x$ such that $x + 5 = 2$ .

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Problem 2529

Solve the equation $0.1z - 0.05 = -0.07z$ and find the value of $z$ .

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Problem 2530

Simplify the expression $28\left(y-\frac{1}{7}\right)$ using the distributive property.

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Problem 2531

Solve the following linear equations: $18-(-a)=28$ , $-b=30$ , $12c=3$ , and $\frac{1}{3}d=5$ .

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Problem 2532

Solve the linear equation $2y - 5 = 3y + 5$ to find the value of $y$ as an integer or simplified fraction.

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Problem 2533

Ralph has 5 more marbles than Alphonse, and they have $73$ marbles in total. Find the number of marbles each has.

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Problem 2534

Solve the linear equation $0.6(y+1.5)=-2.1(y-3)$ and express the solution as an integer, simplified fraction, or decimal rounded to 2 places.

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Problem 2535

Solve for $d$ in the equation $d-5=-10$ . Check your solution.

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Problem 2536

Solve for the $a_n$ term given the first term $a_1$ and common ratio $r$ .

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Problem 2537

Solve for the value of $c$ given the linear equation $a=5c-2b-7$ .

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Problem 2538

Prove the equivalence of the equations $a + 2 = 5$ and $\frac{1}{3}a = 1$ .

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Problem 2539

Solve the equation $x^{3} + 9x = \frac{1}{2}(18x + 54)$ for the unknown variable $x$ .

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Problem 2540

Solve for $z$ in the equation $-3 z = 48$ . The solution is $z = \boxed{-16}$ .

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Problem 2541

Solve for the value of $b$ that satisfies the inequality $-12b > 48$ .

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Problem 2542

Find the best word phrase for the algebraic expression $100-x$

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Problem 2543

Solve the radical equation $x=y^2$ using the graph. Find the values of $x$ when $y=2$ and $y=-3$ .

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Problem 2544

Find the value of $x$ in $8x - 2y = 48$ when $y = 4$ .

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Problem 2545

Solve for the value of $n$ that makes the equation $6 n-2(4 n+7)+4=-2$ true.

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Problem 2546

Solve for $V$ in the equation $-272=V-837$ .

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Problem 2547

Find the value of $q$ that satisfies $|q-745| = 10$ , then graph the solution on a number line.

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Problem 2548

Find the number that, when $-5$ is subtracted from it, results in $10$ .

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Problem 2549

Solve the equation $7^{x^{2}-6x}=1$ .

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Problem 2550

Solve the equation $4 \pi = w - 6 \pi$ to find the value of $w$ .

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Problem 2551

Solve for $k$ where $|k|-7=-6$ . Write the solution as an integer or simplified fraction.

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Problem 2552

Solve for $w$ where $0=7|w|$ . Write the solution as an integer or simplified fraction.

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Problem 2553

Find the solutions to the quadratic equation $(2h + 13)^2 - 3 = 0$ . The solutions are $\frac{-13 \pm \sqrt{169}}{2}$ .

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Problem 2554

Solve for $n$ given $-|n|=-2$ . Write the solution as an integer or simplified fraction.

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Problem 2555

Find the value of $x$ that satisfies the equation $\sqrt[3]{(1/8 - x)} = -1/2$ .

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Problem 2556

Jessie solved an equation step-by-step: $1.5 b+9=11$ , $1.5 b=3$ , and $b=2$ .

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Problem 2557

Solve for $x$ in the equation $6 = \frac{x}{8}$ .

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Problem 2558

Find the number whose product with 9 is 27, expressed algebraically.
$n \times 9 = 27$

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Problem 2559

Gabrielle is solving an equation. Which property justifies her first step: $3x = 1$ ?

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Problem 2560

Dina is $x$ years old. Find $x$ if she will be 24 years old in 13 years.

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Problem 2561

Solve for $t$ where $|t+4|=11$ . Express the solution(s) as integers or simplified fractions.

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Problem 2562

Determine the better linear equation fit, $y=-2x+4$ or $y=-0.5x+4$ , for the data points $(0,4),(1,2.5),(2,0),(3,-1.5)$ .

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Problem 2563

Find the value of $x$ that satisfies the equation $-6x + 3 = 45$ .

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Problem 2564

Find the number of downloads of a song with standard version size $x$ MB, given that there were 920 total downloads with a total download size of 3412 MB.

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Problem 2565

Solve the quadratic equation $15 x^{2}=11 x-2$ and find the fractions $2 / 5, 1 / 3, -2 / 5, -1 / 3$ .

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Problem 2566

Find $x$ given $x+y=8$ and $x-y=6$ . Options: $-1, 1, 7, -7$

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Problem 2567

Solve for $a$ in the equation $a^{2} + b^{2} = c^{2}$ , using the given flowchart.

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Problem 2568

Solve for $x$ in $x^2 + 10x + 12 = 36$ . Solutions are $x = -12, 2$ ; $x = -11, 1$ ; $x = -2, 12$ ; $x = -1, 11$ .

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Problem 2569

Find $h(x)=2x+3$ , then simplify (i) $h(a+3)$ and (ii) $h(2b)$ . Also, find the value of $a$ such that $h(a+3)=5$ .

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Problem 2570

Solve for $x$ in the linear equation $k x + 2 = 3 b$ .

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Problem 2571

Solve for $x$ in the quadratic equation $2 x^{2} - 5 x + 1 = 3$ .

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Problem 2572

Solve for $y$ when $-2|4y+8|=0$ . Find all solutions or click "No solution" if none exist.

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Problem 2573

Solve for $x$ in the equation $-z + y - x = \frac{5}{7}$ .

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Problem 2574

Resolver $-125=x^{3}$ , donde $x$ es un número real. Simplificar la solución.

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Problem 2575

Find the value of $v$ that satisfies the equation $v = \sqrt{5v + 6}$ . If there are multiple solutions, list them. If no solution exists, select "No solution".

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Problem 2576

Find the value of $g$ in the equation $g-3=9$ . A. -12, B. -6, C. 6, D. 12, E. 27

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Problem 2577

Solve the equation $\sqrt{z}=23$ and find the value of $z$ .

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Problem 2578

Solve the equation $\frac{a}{3}-10=-7$ , fill in the missing term, and simplify the result.

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Problem 2579

Solve the quadratic equation $1 + 5v + 5v = 1$ for the unknown variable $v$ .

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Problem 2580

Find the value of $d$ in the equation $5^{6} \times \sqrt{5}=5^{d}$ . Give the answer as a whole number or simplified fraction.

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Problem 2581

Solve the linear equation $-6-\frac{4}{5}x=0$ for the unknown variable $x$ .

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Problem 2582

Solve the linear equation $3x = 2x + 50$ for the value of $x$ .

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Problem 2583

Calculate the value of $x$ in the equation $19^{15} \div 19^{3} = 19^{x}$ .

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Problem 2584

Solve for $f$ where $1+8f=-6+7f$ .

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Problem 2585

Find the value of $x$ where the equations $y=\frac{2}{3}x-4$ and $y=-4x+10$ intersect.

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Problem 2586

Solve the inequality $-6x > 42$ for the value of $x$ .

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Problem 2587

Which equation shows the multiplicative identity element? $x \cdot 1=x$

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Problem 2588

Solve for $u$ in the equation $\frac{5}{6} u+2-u=\frac{1}{6} u$ .

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Problem 2589

Graph the linear equation $y = -\frac{5}{2}x + 3$ and find at least 5 solutions in the table of values.

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Problem 2590

Find the number $n$ that satisfies the equation $6(n + 15) = -42$ .

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Problem 2591

Find the axis of symmetry, vertex, and y-intercept of the quadratic function $f(x) = -x^2 - 8x + 5$ .

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Problem 2592

Solve the equation $\frac{4}{y-1}-\frac{5}{y+2}=\frac{3}{y}$ and give the answers as integers or simplified fractions.

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Problem 2593

Solve for the value of $f$ in the equation $\frac{54}{2 f}=3$ .

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Problem 2594

Solve the equation $3 + x = 12$ for the value of $x$ .

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Problem 2595

Löse die Gleichung $6x + 15 = 5x + 17$ und bestimme die Lösungsmenge $L$ .

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Problem 2596

Find the value of $x$ that satisfies the equation $2x - 4y = 2$ when $y = -4$ .

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Problem 2597

Solve the equation $8b + 4 = 20$ by finding the missing term and simplifying the fraction.

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Problem 2598

Write a parabola equation in intercept form with $x$ -intercepts at -4 and -8, passing through $(-3,20)$ .

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Problem 2599

Find the values of $x$ for which the equation $\frac{8}{(x-2)^{2}}=\frac{4}{x^{2}-9}+\frac{2}{3}$ is undefined.

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Problem 2600

Evaluate the expression $\frac{m^{2}}{\sqrt{n}} + mn$ when $m=-6$ and $n=4$ .

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Algebra

Problem 2501

Solve the equation q+5=3q+5=3q+5=3 using addition or subtraction property. Check the solution set.

Problem 2502

Solve for zzz where 1=∣z−2∣−91=|z-2|-91=∣z−2∣−9. Write the solution(s) as integers or simplified fractions.

Problem 2503

Solve the equation (2y+5)2=25(2y+5)^2=25(2y+5)2=25 using the square root method.

Problem 2504

Solve for ppp where 3>2p−33 > 2p - 33>2p−3.

Problem 2505

Find the smaller number xxx given that x(x+3)=550x(x+3)=550x(x+3)=550. Solve the quadratic equation.

Problem 2506

Problem 2507

Solve the linear equation x+33=−3\frac{x+3}{3}=-33x+3​=−3 for the variable xxx.

Problem 2508

Gráfica la ecuación lineal y=−6x+3y = -6x + 3y=−6x+3.

Problem 2509

Solve for xxx in 9−10x=2x+1−8x9-10x=2x+1-8x9−10x=2x+1−8x. Select the correct answer: A) x=−2x=-2x=−2, B) x=−12x=-\frac{1}{2}x=−21​, C) x=2x=2x=2, D) x=12x=\frac{1}{2}x=21​.

Problem 2510

Find the quotient of the given rational expressions and simplify. x−1−2−x÷x2−3x−4x2+3x+2\frac{x-1}{-2-x} \div \frac{x^{2}-3x-4}{x^{2}+3x+2}−2−xx−1​÷x2+3x+2x2−3x−4​

Problem 2511

Find ZZZ given W=XYZW=XYZW=XYZ.

Problem 2512

Simplify the expression −2x−6y−2x-2x - 6y - 2x−2x−6y−2x by combining like terms.

Problem 2513

A golfer scored 82, 76, and 67 on rounds. Their average score was 717171. Determine the total number of rounds played.

Problem 2514

Find the equation with the same solution as x−12=40x-12=40x−12=40.

Problem 2515

Find the derivative of the linear equation y=mx+by = mx + by=mx+b.

Problem 2516

Find the expression that is not a polynomial from: x3+1x\frac{x^{3}+1}{x}xx3+1​, 13x3\frac{1}{3} x^{3}31​x3, x2−2xx^{2}-2 xx2−2x, 12x12 x12x.

Problem 2517

Two pools are being filled at different rates. Find the time and amount of water when they have the same amount, given initial amounts and fill rates of 923923923 and 130013001300 liters, and 35.7535.7535.75 and 21.2521.2521.25 liters per minute, respectively.

Problem 2518

Solve for ggg in the formula s=12gt2s=\frac{1}{2} g t^{2}s=21​gt2. Options: A) g=t22sg=\frac{t^{2}}{2 s}g=2st2​, B) g=2t2sg=\frac{2 t^{2}}{s}g=s2t2​, C) g=2st2g=\frac{2 s}{t^{2}}g=t22s​, D) g=2st2g=\frac{2}{s t^{2}}g=st22​.

Problem 2519

Find the solution to f(x)=48+1.2x=0f(x) = 48 + 1.2x = 0f(x)=48+1.2x=0 and the xxx-intercept of y=f(x)y = f(x)y=f(x). Simplify the solution.

Problem 2520

Solve the linear equation −1/3y=8/3-1/3 y = 8/3−1/3y=8/3 for the value of yyy.

Problem 2521

Order the numbers from greatest to least: 121,32,334,120%\sqrt{121}, 3^{2}, \frac{33}{4}, 120 \%121​,32,433​,120%.

Problem 2522

Solve the equation ∣7x∣=56|7x| = 56∣7x∣=56. Find the value(s) of xxx.

Problem 2523

Explain each step in solving the equation −6x=−2(x+12)-6x = -2(x + 12)−6x=−2(x+12).

Problem 2524

Classify the equation 8x+8=8(x+3)−38x + 8 = 8(x + 3) - 38x+8=8(x+3)−3 as contradiction, identity, or conditional. Give the solution set.

Problem 2525

Graph a set of {−2,−7,−6}\{-2, -7, -6\}{−2,−7,−6} on a number line, then find the maximum, minimum, and mean of the data.

Problem 2526

Solve the quadratic equation x2+11x=1x^2 + 11x = 1x2+11x=1 by factoring and find its real number solutions.

Problem 2527

Solve the linear equation 4m−8=124 m - 8 = 124m−8=12 for the variable mmm.

Problem 2528

Find xxx such that x+5=2x + 5 = 2x+5=2.

Problem 2529

Solve the equation 0.1z−0.05=−0.07z0.1z - 0.05 = -0.07z0.1z−0.05=−0.07z and find the value of zzz.

Problem 2530

Simplify the expression 28(y−17)28\left(y-\frac{1}{7}\right)28(y−71​) using the distributive property.

Problem 2531

Solve the following linear equations: 18−(−a)=2818-(-a)=2818−(−a)=28, −b=30-b=30−b=30, 12c=312c=312c=3, and 13d=5\frac{1}{3}d=531​d=5.

Problem 2532

Solve the linear equation 2y−5=3y+52y - 5 = 3y + 52y−5=3y+5 to find the value of yyy as an integer or simplified fraction.

Problem 2533

Ralph has 5 more marbles than Alphonse, and they have 737373 marbles in total. Find the number of marbles each has.

Problem 2534

Solve the linear equation 0.6(y+1.5)=−2.1(y−3)0.6(y+1.5)=-2.1(y-3)0.6(y+1.5)=−2.1(y−3) and express the solution as an integer, simplified fraction, or decimal rounded to 2 places.

Problem 2535

Solve for ddd in the equation d−5=−10d-5=-10d−5=−10. Check your solution.

Problem 2536

Solve for the ana_nan​ term given the first term a1a_1a1​ and common ratio rrr.

Problem 2537

Solve for the value of ccc given the linear equation a=5c−2b−7a=5c-2b-7a=5c−2b−7.

Problem 2538

Prove the equivalence of the equations a+2=5a + 2 = 5a+2=5 and 13a=1\frac{1}{3}a = 131​a=1.

Problem 2539

Solve the equation x3+9x=12(18x+54)x^{3} + 9x = \frac{1}{2}(18x + 54)x3+9x=21​(18x+54) for the unknown variable xxx.

Problem 2540

Solve for zzz in the equation −3z=48-3 z = 48−3z=48. The solution is z=−16z = \boxed{-16}z=−16​.

Solve the equation $q+5=3$ using addition or subtraction property. Check the solution set.

Solve for $z$ where $1=|z-2|-9$ . Write the solution(s) as integers or simplified fractions.

Solve the equation $(2y+5)^2=25$ using the square root method.

Solve for $p$ where $3 > 2p - 3$ .

Find the smaller number $x$ given that $x(x+3)=550$ . Solve the quadratic equation.

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

Gráfica la ecuación lineal $y = -6x + 3$ .

Solve for $x$ in $9-10x=2x+1-8x$ . Select the correct answer: A) $x=-2$ , B) $x=-\frac{1}{2}$ , C) $x=2$ , D) $x=\frac{1}{2}$ .

Find the quotient of the given rational expressions and simplify. $\frac{x-1}{-2-x} \div \frac{x^{2}-3x-4}{x^{2}+3x+2}$

Find $Z$ given $W=XYZ$ .

Simplify the expression $-2x - 6y - 2x$ by combining like terms.

A golfer scored 82, 76, and 67 on rounds. Their average score was $71$ . Determine the total number of rounds played.

Find the equation with the same solution as $x-12=40$ .

Find the derivative of the linear equation $y = mx + b$ .

Find the expression that is not a polynomial from: $\frac{x^{3}+1}{x}$ , $\frac{1}{3} x^{3}$ , $x^{2}-2 x$ , $12 x$ .

Two pools are being filled at different rates. Find the time and amount of water when they have the same amount, given initial amounts and fill rates of $923$ and $1300$ liters, and $35.75$ and $21.25$ liters per minute, respectively.

Solve for $g$ in the formula $s=\frac{1}{2} g t^{2}$ . Options: A) $g=\frac{t^{2}}{2 s}$ , B) $g=\frac{2 t^{2}}{s}$ , C) $g=\frac{2 s}{t^{2}}$ , D) $g=\frac{2}{s t^{2}}$ .

Find the solution to $f(x) = 48 + 1.2x = 0$ and the $x$ -intercept of $y = f(x)$ . Simplify the solution.

Solve the linear equation $-1/3 y = 8/3$ for the value of $y$ .

Order the numbers from greatest to least: $\sqrt{121}, 3^{2}, \frac{33}{4}, 120 \%$ .

Solve the equation $|7x| = 56$ . Find the value(s) of $x$ .

Explain each step in solving the equation $-6x = -2(x + 12)$ .

Classify the equation $8x + 8 = 8(x + 3) - 3$ as contradiction, identity, or conditional. Give the solution set.

Graph a set of $\{-2, -7, -6\}$ on a number line, then find the maximum, minimum, and mean of the data.

Solve the quadratic equation $x^2 + 11x = 1$ by factoring and find its real number solutions.

Solve the linear equation $4 m - 8 = 12$ for the variable $m$ .

Find $x$ such that $x + 5 = 2$ .

Solve the equation $0.1z - 0.05 = -0.07z$ and find the value of $z$ .

Simplify the expression $28\left(y-\frac{1}{7}\right)$ using the distributive property.

Solve the following linear equations: $18-(-a)=28$ , $-b=30$ , $12c=3$ , and $\frac{1}{3}d=5$ .

Solve the linear equation $2y - 5 = 3y + 5$ to find the value of $y$ as an integer or simplified fraction.

Ralph has 5 more marbles than Alphonse, and they have $73$ marbles in total. Find the number of marbles each has.

Solve the linear equation $0.6(y+1.5)=-2.1(y-3)$ and express the solution as an integer, simplified fraction, or decimal rounded to 2 places.

Solve for $d$ in the equation $d-5=-10$ . Check your solution.

Solve for the $a_n$ term given the first term $a_1$ and common ratio $r$ .

Solve for the value of $c$ given the linear equation $a=5c-2b-7$ .

Prove the equivalence of the equations $a + 2 = 5$ and $\frac{1}{3}a = 1$ .

Solve the equation $x^{3} + 9x = \frac{1}{2}(18x + 54)$ for the unknown variable $x$ .

Solve for $z$ in the equation $-3 z = 48$ . The solution is $z = \boxed{-16}$ .

Solve for the value of $b$ that satisfies the inequality $-12b > 48$ .

Find the best word phrase for the algebraic expression $100-x$

Solve the radical equation $x=y^2$ using the graph. Find the values of $x$ when $y=2$ and $y=-3$ .

Find the value of $x$ in $8x - 2y = 48$ when $y = 4$ .

Solve for the value of $n$ that makes the equation $6 n-2(4 n+7)+4=-2$ true.

Solve for $V$ in the equation $-272=V-837$ .

Find the value of $q$ that satisfies $|q-745| = 10$ , then graph the solution on a number line.

Find the number that, when $-5$ is subtracted from it, results in $10$ .

Solve the equation $7^{x^{2}-6x}=1$ .

Solve the equation $4 \pi = w - 6 \pi$ to find the value of $w$ .

Solve for $k$ where $|k|-7=-6$ . Write the solution as an integer or simplified fraction.

Solve for $w$ where $0=7|w|$ . Write the solution as an integer or simplified fraction.

Find the solutions to the quadratic equation $(2h + 13)^2 - 3 = 0$ . The solutions are $\frac{-13 \pm \sqrt{169}}{2}$ .

Solve for $n$ given $-|n|=-2$ . Write the solution as an integer or simplified fraction.

Find the value of $x$ that satisfies the equation $\sqrt[3]{(1/8 - x)} = -1/2$ .

Jessie solved an equation step-by-step: $1.5 b+9=11$ , $1.5 b=3$ , and $b=2$ .

Solve for $x$ in the equation $6 = \frac{x}{8}$ .

Find the number whose product with 9 is 27, expressed algebraically.
$n \times 9 = 27$

Gabrielle is solving an equation. Which property justifies her first step: $3x = 1$ ?

Dina is $x$ years old. Find $x$ if she will be 24 years old in 13 years.

Solve for $t$ where $|t+4|=11$ . Express the solution(s) as integers or simplified fractions.

Determine the better linear equation fit, $y=-2x+4$ or $y=-0.5x+4$ , for the data points $(0,4),(1,2.5),(2,0),(3,-1.5)$ .

Find the value of $x$ that satisfies the equation $-6x + 3 = 45$ .

Find the number of downloads of a song with standard version size $x$ MB, given that there were 920 total downloads with a total download size of 3412 MB.

Solve the quadratic equation $15 x^{2}=11 x-2$ and find the fractions $2 / 5, 1 / 3, -2 / 5, -1 / 3$ .

Find $x$ given $x+y=8$ and $x-y=6$ . Options: $-1, 1, 7, -7$

Solve for $a$ in the equation $a^{2} + b^{2} = c^{2}$ , using the given flowchart.

Solve for $x$ in $x^2 + 10x + 12 = 36$ . Solutions are $x = -12, 2$ ; $x = -11, 1$ ; $x = -2, 12$ ; $x = -1, 11$ .

Find $h(x)=2x+3$ , then simplify (i) $h(a+3)$ and (ii) $h(2b)$ . Also, find the value of $a$ such that $h(a+3)=5$ .

Solve for $x$ in the linear equation $k x + 2 = 3 b$ .

Solve for $x$ in the quadratic equation $2 x^{2} - 5 x + 1 = 3$ .

Solve for $y$ when $-2|4y+8|=0$ . Find all solutions or click "No solution" if none exist.

Solve for $x$ in the equation $-z + y - x = \frac{5}{7}$ .

Resolver $-125=x^{3}$ , donde $x$ es un número real. Simplificar la solución.