Algebra

Problem 2701

Find the value of the expression 4(x1)+2(3x)44(x-1)+2(3-x)-4.

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Problem 2702

Solve the equation 4x1=6|4 x-1|=6 for xx.

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Problem 2703

Find the value of bb that satisfies the equation 6=0.2b-6=0.2b.

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Problem 2704

Prove that 3.60573.6057 is a rational number by expressing it as a ratio of two integers.

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Problem 2705

Solve the equation 3x4=18|3x-4|=18 to find the possible values of xx.

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Problem 2706

Find the value of g(4)g(-4) for the function g(x)=36xg(x) = 3 - 6x.

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Problem 2707

Solve the linear equation 3n+1=03n + 1 = 0 for the value of nn.

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Problem 2708

Find values of xx that are not solutions to the inequality x+2.89.3x + 2.8 \leq 9.3.

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Problem 2709

Find the expression equivalent to 513\frac{5}{\sqrt{13}}.

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Problem 2710

Solve the equation for y: 24=42+y24=4 \cdot 2+y

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Problem 2711

Find the total number of books on a bookcase with 3 shelves, where each shelf has mm books.

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Problem 2712

Find the number where two-sevenths of it is -10.

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Problem 2713

Simplify the complex fraction 5(3+i)(6i)\frac{5}{(3+i)(6-i)} and write the result in standard form.

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Problem 2714

Solve for the value of bb given the linear equation ybxa=m\frac{y-b}{x-a}=m.

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Problem 2715

Simplify the expression 8(z+1)+2(z+4)-8(z+1)+2(z+4) using the distributive property and combining like terms.

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Problem 2716

Solve the rational equation 4x3+5x6=x225x29x+18\frac{4}{x-3}+\frac{5}{x-6}=\frac{x^{2}-25}{x^{2}-9x+18} and simplify the solution set.

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Problem 2717

Solve n+7.1=8.6n + 7.1 = 8.6. Round your answer to the nearest tenth.

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Problem 2718

Determine if the proportion 6:8=33:446: 8 = 33: 44 is true or false.

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Problem 2719

Solve the linear equation 7y21=07y - 21 = 0 for the unknown variable yy.

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Problem 2720

Rewrite 7x4=7000x7 x^{4} = 7000 x in factored form. Find the solution set. Choose A) The solution set is x=0,x=10,x=10+10i,x=1010ix = 0, x = 10, x = -10 + 10i, x = -10 - 10i or B) No solution.

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Problem 2721

Rewrite the linear equation y=4x+5y = 4x + 5 in standard form using integers.

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Problem 2722

Solve the equation 2(87x)(1x)=2(x5)-2(8-7x)-(1-x)=2(x-5) and check your answer.

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Problem 2723

Solve the rational equation 168x8+18=2x1\frac{16}{8x-8}+\frac{1}{8}=\frac{2}{x-1} and find the valid solutions.

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Problem 2724

Subtract the expressions: 3x+7(5x2)3x + 7 - (5x - 2).

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Problem 2725

Find the value of tt when v=100v=100 in the quadratic equation v=0.1t2+60v=0.1 t^{2}+60.

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Problem 2726

Convert the linear equation 7x+8y=167x + 8y = 16 to slope-intercept form y=78x+2y = -\frac{7}{8}x + 2.

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Problem 2727

Rewrite 16y33=y48y216y^3 - 3 = y - 48y^2 in factored form. Find the solution set. (y+3)(4y1)(4y+1)=0(y+3)(4y-1)(4y+1)=0 A. The solution set is 3,14,14-3, \frac{1}{4}, -\frac{1}{4}.

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Problem 2728

Solve for xx in the equations: 133x=43\frac{1}{3} \cdot 3 \cdot x = 4 \cdot 3 and 4x15=156x-4 x-15=15-6 x.

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Problem 2729

Solve the quadratic equation 4x(x4)=244x(x-4)=24 by completing the square.

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Problem 2730

Simplify the expression 6x260x3\frac{6x^2}{60x^3}.

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Problem 2731

Find 8x32y\frac{8^{x}}{32^{y}} given 3x5y=23x-5y=2.

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Problem 2732

Solve for qq in the equation 3p+4=6q3p + 4 = 6 - q. Simplify the solution.

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Problem 2733

Solve 2x2+x1=6|2x-2| + |x-1| = 6 graphically. Find the solution set. A. {1,3}\{-1,3\} B. The solution set is the set of real numbers. C. The solution set is the empty set.

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Problem 2734

Simplify the expression a8a8\frac{a^{8}}{a^{-8}}.

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Problem 2735

Find the sum of x5x \sqrt{5} and 4x54x \sqrt{5}.

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Problem 2736

Find the slope of the line passing through the points (2,1)(-2,1) and (3,2)(3,2).

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Problem 2737

Finden Sie die Normalform der Funktion y=2(x+1)23y = 2(x+1)^2 - 3.

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Problem 2738

Find the value of y=3x1y=3x-1 when x=1x=-1.

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Problem 2739

Equation to represent tire pressure yy (psi) after xx months, where initial pressure is 34 psi and pressure decreases by 2 psi per month.
(D) y=2x+34y=-2x+34

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Problem 2740

Determine if the equation g=6g-g = -6 - g is an identity.

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Problem 2741

Simplify the expression 2(n9)+4-2(n-9)+4.

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Problem 2742

Find real solutions to the equation 5x25x1x225=0\frac{5}{x^{2}-5x}-\frac{1}{x^{2}-25}=0.

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Problem 2743

Solve the inequality 82+b>2316\frac{8}{2} + b > \frac{23}{16}. Enter the solution as an interval, using "oo" for \infty, and fractions in reduced form.

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Problem 2744

Find the values of x+4x+4, 3x3x, and x2\frac{x}{2} when x=6x=6.

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Problem 2745

Match algebraic expressions with their factored forms. 12x+6,12x6,12x6,12x+612x+6, 12x-6, -12x-6, -12x+6

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Problem 2746

Simplify the ratio 8(3)7(2)\frac{8-(-3)}{7-(-2)}.

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Problem 2747

Find the value of yy that satisfies the equation 7y+y2y=187y + y - 2y^{-} = 18.

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Problem 2748

Write an equation to represent: 8x+48x + 4 multiplied by 12\frac{1}{2} equals 17.

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Problem 2749

Evaluate f(s)=8s+15f(s) = 8s + 15 for given values. Explain the meaning of each result. a. f(7)=$f(7) = \$ b. f(100)=$f(100) = \$ c. f(11)=$f(11) = \$

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Problem 2750

Solve for dd where (7÷d)0.2=0.2(7 \div d) \cdot 0.2=0.2.

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Problem 2751

Solve for ss in the equation P=s+r+tP=s+r+t. Simplify the solution.

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Problem 2752

Find the value of 'a' that satisfies the equation y=ax2y=ax^2 when x=110x=\frac{1}{10} and y=4y=4.

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Problem 2753

Solve for uu in the equation 3(u+2)+4=5(u1)+u3(u+2)+4=5(u-1)+u. Solve algebraically and then check by graphing.

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Problem 2754

Write a quadratic function in vertex form with parameters a=12,b=32,c=2a=-\frac{1}{2}, b=\frac{3}{2}, c=-2.

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Problem 2755

Solve the quadratic inequality x216x+630x^{2} - 16x + 63 \leq 0 and find the range of valid solutions.

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Problem 2756

Multiply 7(5a+8b+9c)7(5a + 8b + 9c) using the area model. Find the partial products, then write the full product.

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Problem 2757

Solve the inequality: b25+7>5\frac{b}{25} + 7 > 5. Find the range of bb values.

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Problem 2758

Solve the equation 19=14+k19 = 14 + k.

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Problem 2759

Find the number of real solutions to the quadratic equation 6n2+7n+2=86n^2 + 7n + 2 = 8.

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Problem 2760

Graph the linear equation 8x+2y=88x + 2y = 8 by dragging the red and blue dots.

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Problem 2761

A town's population of 90,200 shrinks by 2%2\% annually. What equation represents the population after 7 years?

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Problem 2762

Houa, a salesperson, earned 135commissionon135 commission on 1700 total sales. The commissions were 9% on phone sales and 6% on computer sales. Write a system of equations to find the phone and computer sales amounts.
Let xx be the phone sales and yy be the computer sales. Then the system of equations is: 0.09x+0.06y=1350.09x + 0.06y = 135 x+y=1700x + y = 1700

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Problem 2763

Simplify the expression (4x4)8x(4x - 4) - 8x and select the correct answer. A. 4x+4-4x + 4 B. 4x4-4x - 4 C. 12x412x - 4 D. 8x-8x

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Problem 2764

Solve Y=M/D4Y=\sqrt[4]{M/D} for MM, given positive variables. Simplify the solution for MM.

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Problem 2765

Identify error in solving quadratic equation 3x25x+8=03x^2 - 5x + 8 = 0 and explain the correct solution.

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Problem 2766

Find the value of xx given the equation 5x2=1255 x^{2} = 125.

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Problem 2767

Determine if the system of equations 9x+xy=11y9x + xy = 11y is linear or non-linear.

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Problem 2768

Solve the following equations for the given variable, showing work to isolate variable: a. 0.3(23r)=2.1r+60.3(2-3r)=2.1r+6 b. 11=n3+411=\frac{n}{3}+4 c. 12(3x8)4x7=4(2x3)2\frac{12(3x-8)-4x}{-7}=\frac{-4(2x-3)}{2} d. 4(2x3)=6(4x7)-4(2x-3)=6(4x-7)

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Problem 2769

Solve the simultaneous equations 2x5y=92x - 5y = 9 and 3x+4y=23x + 4y = 2.

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Problem 2770

Solve the inequality 3(6x)>63(6-x) > 6 and simplify the solution.

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Problem 2771

Solve for x: 15 + x = 25. Options: A) x=5x=5, B) x=10x=10, C) x=15x=15, D) x=25x=25

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Problem 2772

Solve 72=2(x+12)5/4+872=2(x+12)^{5/4}+8 for xx. Options: A) x=28x=28, B) x=52x=52, C) x=4x=4, D) x=14x=14.

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Problem 2773

Write the word sentence as an equation, then solve for yy given the equation y+(3)=8y + (-3) = -8.

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Problem 2774

Write an expression for n102n - 10 - 2, which represents subtracting 10 from nn and then subtracting 2 from the result.

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Problem 2775

Find 3 ordered pairs for the linear equation y=12xy=\frac{1}{2}x, then graph using 2 of the pairs.

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Problem 2776

Find the time tt and position xx from the equations 4.0t+32=0-4.0t + 32 = 0 and x=2.0t2+32t+27x = -2.0t^2 + 32t + 27 in SI units.

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Problem 2777

Solve the linear equation m+4=m+10m+4=-m+10 for the variable mm.

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Problem 2778

Simplify (9x6)2(9x-6)^2 and verify using a graphing calculator table.

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Problem 2779

Find the value of xx in the equation 72=4v72 = 4v, then simplify the solution for vv.

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Problem 2780

Divide 4x24-x^{2} by 2x2-x and simplify the result to its lowest terms.

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Problem 2781

Simplify the expression (4k+28k2k+4)\left(\frac{\frac{4}{k+2}}{\frac{8 k}{2 k+4}}\right).

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Problem 2782

Solve the equation 3(x0.5)(0.75+x)=03 \cdot(x-0.5) \cdot(0.75+x)=0 for the value of xx.

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Problem 2783

Solve for x: 4(2x)3=54(2^{x})-3=5. Options: A. Undefined, B. 1, C. 0, D. log2(5)\log_{2}(5).

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Problem 2784

Rewrite the expression 6a+6b6a + 6b as a product.

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Problem 2785

Find integer x,y,zx, y, z that satisfy 50x+8y18z=050x + 8y - 18z = 0 and 0<x90 < x \leq 9, 0y,z90 \leq y, z \leq 9.

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Problem 2786

Solve the linear equation 8x2(x+1)=2(3x1)8x-2(x+1)=2(3x-1) and select the correct solution.

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Problem 2787

Solve for zz where 18.17<16.17z18.17 < 16.17 - z.

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Problem 2788

Solve the inequality 7x27<87x - 27 < 8 and find the set of all real numbers that satisfy the inequality.

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Problem 2789

Rewrite the equation 9x211=6x9x^2 - 11 = 6x in standard form.

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Problem 2790

Find the value of yy when xx is 10, given that xx and yy are in direct proportion and yy is 72 when xx is 12.

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Problem 2791

Solve the equation 32+1x=2\frac{3}{2} + \frac{1}{x} = 2 for xx.

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Problem 2792

Solve for y in the equation 39=43+y11-39=-43+\frac{y}{11}.

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Problem 2793

Solve the linear equation 0.5x8=120.5 x - 8 = 12 for the value of xx.

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Problem 2794

Solve the linear equation 2y74+178=4y+108\frac{2y-7}{4}+\frac{17}{8}=\frac{4y+10}{8} and select the number of solutions.

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Problem 2795

Find the inverse function h1(x)h^{-1}(x) of the linear function h(x)=6xh(x) = 6x.

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Problem 2796

Solve the rational equation yy58y+7=y2y2+2y35\frac{y}{y-5}-\frac{8}{y+7}=\frac{y^{2}}{y^{2}+2y-35} and simplify the answer.

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Problem 2797

Solve the equation 5(53x)=5205(5^{3x}) = \sqrt{5^{20}} for xx.

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Problem 2798

Solve for xx in the equation 3(x+1)=93(x+1)=9.

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Problem 2799

Solve the linear equation 8(3x2)=5(x4)+88(3x-2)=5(x-4)+8 and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 2800

Identify the operations in the equation 9x+0.4=4-9x + 0.4 = 4.

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