Browse Algebra problems in the Studdy Learning Bank!

Problem 4701

Find the quadratic equation's roots: $y = -\frac{1}{2}x^2 - 2x + \frac{7}{10}$

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Problem 4702

Solve $3(t^2 - 9)^2 + 16(t^2 - 9) = -5$ using substitution. Select the correct solution set.

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Problem 4703

Find the absolute value of $w$ given $|w| = 5$ .

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Problem 4704

Solve for $y$ in simplest radical form: $x^2 + y^2 + 2x - 3y + 4 = 0$

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Problem 4705

Find the solution set for the inequality $7x > 43$ . Which answer choice correctly represents all values of $x$ that satisfy this inequality?

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Problem 4706

Solve for $x$ where $-9=\frac{6}{x}$ . Simplify the solution.

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Problem 4707

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: $x-23=50$ .

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Problem 4708

Find the amount of pineapple juice needed for a punch with a $4:3$ ratio of orange to pineapple juice, given $64$ oz of orange juice.

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Problem 4709

Determine the amount of $100\%$ antifreeze needed to replace the $20\%$ solution in a radiator to achieve a $40\%$ antifreeze solution.

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Problem 4710

Find the equation $y=mx$ for the proportional relationship passing through the points $(2,-15)$ and $(6,-45)$ .

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Problem 4711

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

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Problem 4712

Estimate and solve for x in equations: a) $35=5(3^{x})$ , b) $117=3\times2^{x}$ , c) $1000=500(1+0.08)^{x}$ , d) $45=100(1/2)^{x}$ . Round answers to 3 decimal places.

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Problem 4713

Solve the absolute value equation $-3|x| = 15$ to find the value of $x$ .

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Problem 4714

Determine if the given system of linear equations with $y=\frac{1}{2}x-4$ and $y=\frac{1}{2}x+3$ has a unique solution, no solution, or infinitely many solutions.

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Problem 4715

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

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Problem 4716

Find the points of intersection of the given pairs of linear and quadratic equations: $y=x^{2}+4 x+3, y=5 x+9$ and $y=-x^{2}-4 x+6, y=x-8$ .

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Problem 4717

Solve for x in the following linear equations: $-1=\frac{-3+x}{14}$ , $-5+\frac{x}{2}=-17$ , $33=-7x-23$ , $\frac{1}{2}x-9=6$ , $6+5x=6$ , $-9x+1=-80$ , $-186=12+11x$ , $\frac{x+2}{3}=-5$ , $8x-11=-283$ , $-116=-11+7x$ .

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Problem 4718

Solve the linear equation $9 = 5n + 6 - 6n$ for the value of $n$ .

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Problem 4719

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

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Problem 4720

Find the value of $g$ given the equation $A = g q$ .

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Problem 4721

Find the value of $x$ in the equation $14 = 2x$ .

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Problem 4722

Simplify $\sqrt{121 z^{2}}$

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Problem 4723

Explain the error in the student's claim that since $x^{2}-5 x-6$ has two negative terms, both factors of $c$ will be negative.

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Problem 4724

Find the difference between $4x$ and $x^4$ . Evaluate both expressions when $x=2$ .

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Problem 4725

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.
2. Find $x$ that satisfies $-(-2x+1)=9-14x$ . Explain and check the solution.

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Problem 4726

Graph the line through points $(-6,-2)$ and $(6,10)$ . Write the line equation $y=mx+b$ .

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Problem 4727

Solve for the value of $d$ such that $9.01 < d + 2$ .

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Problem 4728

Solve the linear equation $x=4(8+5x)$ for the value of $x$ .

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Problem 4729

Find the solution set for the inequality $(x-2)(x+1)(x-4) \geq 0$ . The solution set is $[-1,2],[4, \infty)$ .

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Problem 4730

Find $A$ given $l=6$ and $w=7$ using the equation $A=l w$ .

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Problem 4731

Solve for $x$ in the linear equation $p-0.8x=18$ .

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Problem 4732

Simplify the expression $9x^{2} + 30x + 25$ .

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Problem 4733

Simplify the expression $9 w^{2} + 9 w + 2$ .

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Problem 4734

Solve the equation $-3=-|c+4|+5$ . The solution set is

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Problem 4735

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

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Problem 4736

Solve the equation $\frac{3}{7} x + 5 = 8$ to find the value of $x$ .

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Problem 4737

Find the largest value of the expressions $2f$ , $f+2$ , $\frac{f}{2}$ , and $f-2$ when $f=8$ .

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Problem 4738

Find the decay equation from the options: $y=6\left(\frac{1}{3}\right)^{x}$ , $y=\frac{1}{2}(3)^{x}$ , $y=3^{x}-4$ , $y=2(4)^{x}$ .

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Problem 4739

Solve the linear equation $8c + 2(3c + 3) = 12$ and find the solution set.
Part 1 of 2 Identify as an expression or an equation. This is an equation.
Part 2 of 2 The solution set is $c = 1$ .

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Problem 4740

Find the quotient of $x - 2$ divided by $x^{3} - 5x^{2} - x - 10$ .

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Problem 4741

Evaluate $3(x-7)+5$ when $x=9$ .

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Problem 4742

Find the equation for a line with the equation $y=x$ .

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Problem 4743

Solve the equation $4p + 25 = 6(p - 3) - 3(4 - 3p)$ .

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Problem 4744

Describe a system of equations to solve for how long it takes two worker groups painting a bridge at different rates to paint the same amount, and how much each group will have painted.
$x$ = days until equal painting, $y$ = km painted by each group Group 1: 3 km + 2 km/day * $x$ days = $y$ km Group 2: 1 km + 4 km/day * $x$ days = $y$ km

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Problem 4745

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

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Problem 4746

Simplify the expression $5+W-7.5W-\frac{1}{2}$ by adding or subtracting like terms.

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Problem 4747

Find the weight (in pounds) of an airplane carrying $45$ gallons of fuel, given that its weight is a linear function of the amount of fuel (in gallons), and the weights are $2028$ pounds with $20$ gallons and $2124$ pounds with $35$ gallons.

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Problem 4748

Determine the value of "a" in the equation $y = a x(x - 6)$ by substituting the vertex point $(25, 3)$ . Round "a" to one decimal place.

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Problem 4749

Find the number of solutions to the equation $6-7j=-8j$ .

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Problem 4750

Solve the rational equation $3x^{2/3} - 4 = 8$ .

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Problem 4751

Find the number of boys in a club where there are 25% more girls than boys, and the difference between the number of girls and boys is 36.

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Problem 4752

Graph the equation $x=7$ by plotting points. Determine the domain and range.

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Problem 4753

Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

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Problem 4754

Encuentra el valor de $x$ que satisface la ecuación $\frac{x}{4}=\frac{4}{8}$ .

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Problem 4755

Solve for $x$ in the equation ${ }_{n} P_{4}=4{ }_{n-1} P_{3}$ , where ${ }_{n} P_{k}$ represents the number of permutations of $k$ items from a set of $n$ items.

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Problem 4756

Find the value of $(5 x)^{0}$ .

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Problem 4757

Solve for $r$ in terms of $s, t, u$ , and $v$ where $u r=-t v s$ and $r=$ .

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Problem 4758

Solve the linear equation $\frac{1}{7} y = 3$ for $y$ . Find the values of the given expressions.

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Problem 4759

Verwende die pq-Formel, um die Gleichung $x^{2}-6 x+8=0$ zu lösen.

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Problem 4760

Solve the equation $3(2x+1) = 2x-1$ , showing all work.

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Problem 4761

Simplify the expression $20 x^{2} y - 28 x$ .

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Problem 4762

Find the real numbers $x$ that satisfy the equation $|x| = 25.8$ .

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Problem 4763

Find the formula for $C$ as a function of $G$ if $C$ is proportional to $G^2$ and $C=40$ when $G=5$ . Then use the formula to find $G$ when $C=10$ .
$\mathbf{C} = kG^2$ $k = 40/5^2 = 1.6$ $G = \sqrt{10/1.6} = 2.5$

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Problem 4764

Solve the equation $x-2=10$ using the addition or subtraction property of equality, then check the solution.

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Problem 4765

Arrange the steps to solve the equation $\frac{1}{4}(x-1)+3x=2$ .

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Problem 4766

Find the slope-intercept form of the linear equation $-5x + 15y = -30$ .

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Problem 4767

Evaluate $(f \circ g)(1), (f \circ g)(-1), (g \circ f)(-1), (g \circ f)(0), (g \circ g)(-2), (f \circ f)(-1)$ using the given values of $\mathbf{f}(\mathbf{x})$ and $\mathbf{g}(\mathbf{x})$ .

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Problem 4768

Find the value of $m$ that satisfies the equation $-(6 m+8)=(17-m)$ .

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Problem 4769

Find the original price of a saw if the sales tax is $9.25\%$ and the sales tax charged is $\$ 6.29$ .

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Problem 4770

Solve the equation $16 x = 2 + 5(4 + x)$ . Show all work.

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Problem 4771

Solve the linear equation $9d + 2d + 3d - 4 = 5d$ .

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Problem 4772

Expand and solve for $x$ in algebraic equations. Solve for $x$ in linear equations.
$4(x+2)=3(x-4)$ , $-3(x+5)=2(x+5)$ , $4(x-2)=-3(-x+4)$ , $-2(x-12)=-2(-x+16)$ $x-12=-5$ , $-3x=-54$ , $5x-3=12$ , $-3x+4=25$

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Problem 4773

Find the value of $n$ if $18=n-18$ .

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Problem 4774

Negate the statement " $-2 \leq x \leq-1$ or $1 \leq x \leq 2$ ". Select the correct option.

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Problem 4775

Two ships, A and B, start at a distance of 40 nautical miles. A travels west at 21 knots, B travels north at 22 knots. Find the rate of change of the distance between them at 3 PM. (1 knot = 1 nautical mile/hour)

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Problem 4776

Aaron charges $15 for lawn mowing and$ 10/hour for other gardening. Which expression represents his earnings? $E=10h+15$

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Problem 4777

Explain to a friend how to solve the equation $3(x+2)=12$ over the phone. Provide step-by-step instructions.

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Problem 4778

Which quadratic equation has no possible number of real solutions?

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Problem 4779

Solve the equation $8r - 5r + 6 = 8r + 6 - r$ , and check the solution.

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Problem 4780

Find the roots of the equation $-3=-6 x^{2}+7 x$ .

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Problem 4781

Simplify the expression $\frac{6^{7} \cdot 5^{-6}}{6^{6} \cdot 5^{-7}}$ .

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Problem 4782

Solve the inequality $1-\frac{x}{3}>7$ for $x$ .

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Problem 4783

Rearrange the equation $y=6x-5$ to make $x$ the subject.

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Problem 4784

Solve the absolute value equation $|7x + 6| = 34$ algebraically.

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Problem 4785

Solve for $x$ where $-1.5 x-3.1<5.5$

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Problem 4786

Determine if $y=5$ is a solution to the equation $\frac{y}{8}=40$ .

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Problem 4787

Solve for $x$ in the equation $15=x-2$ .

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Problem 4788

Solve for $u$ in the equation $6u - 11u - 17 = -82$ . Simplify the solution $u = ?$ .

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Problem 4789

Solve the inequality $g - 6 \neq 8$ to find the possible values of $g$ .

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Problem 4790

Evaluate $\sqrt{225-81}$ and select whether it is a real number or not.

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Problem 4791

Solve for $x$ when $h(x) = 5x + 2 = -8$ .

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Problem 4792

Choose the correct roots for the cubic equation $x^3 + 2x^2 - 23x - 60 = (x + 3)(x + 4)(x - 5)$ .

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Problem 4793

Solve for the value of $z$ given the equation $-26+z=15$ .

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Problem 4794

Multiply $8x + 3$ and $8x - 3$ using the rule for the product of the sum and difference of two terms.

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Problem 4795

Find the value of $x$ that satisfies the equation $f(x) = -9$ , where $f(x) = 7x - 2$ .

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Problem 4796

Solve for $x$ when $f(x) = 3x - 1 = -7$ .

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Problem 4797

Solve for all values of $b$ where the absolute value of $5-b$ equals 12.

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Problem 4798

Is the equation $l = 25s + 5000$ linear?

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Problem 4799

Approximate each number using a calculator: (a) $15^{3.14}$ (b) $15^{3.141}$ (c) $15^{3.1415}$ (d) $15^{\pi}$

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Problem 4800

Subtract linear expressions: 1) $(-2x-1)-(x-7)$ , 2) $(-8x+1)-(8x-7)$ , 3) $(-6x-11)-(-2x-4)$ , 4) $(-x+3)-(x-5)$ .

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Algebra

Problem 4701

Find the quadratic equation's roots: y=−12x2−2x+710y = -\frac{1}{2}x^2 - 2x + \frac{7}{10}y=−21​x2−2x+107​

Problem 4702

Solve 3(t2−9)2+16(t2−9)=−53(t^2 - 9)^2 + 16(t^2 - 9) = -53(t2−9)2+16(t2−9)=−5 using substitution. Select the correct solution set.

Problem 4703

Find the absolute value of www given ∣w∣=5|w| = 5∣w∣=5.

Problem 4704

Solve for yyy in simplest radical form: x2+y2+2x−3y+4=0x^2 + y^2 + 2x - 3y + 4 = 0x2+y2+2x−3y+4=0

Problem 4705

Find the solution set for the inequality 7x>437x > 437x>43. Which answer choice correctly represents all values of xxx that satisfy this inequality?

Problem 4706

Solve for xxx where −9=6x-9=\frac{6}{x}−9=x6​. Simplify the solution.

Problem 4707

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: x−23=50x-23=50x−23=50.

Problem 4708

Find the amount of pineapple juice needed for a punch with a 4:34:34:3 ratio of orange to pineapple juice, given 646464 oz of orange juice.

Problem 4709

Determine the amount of 100%100\%100% antifreeze needed to replace the 20%20\%20% solution in a radiator to achieve a 40%40\%40% antifreeze solution.

Problem 4710

Find the equation y=mxy=mxy=mx for the proportional relationship passing through the points (2,−15)(2,-15)(2,−15) and (6,−45)(6,-45)(6,−45).

Problem 4711

Determine equation for total cost ccc (in )ofpizzawith) of pizza with )ofpizzawithttoppings,wherebasecostis toppings, where base cost is toppings,wherebasecostis\5 55 and each topping costs $1.50\$ 1.50$1.50.

Problem 4712

Estimate and solve for x in equations: a) 35=5(3x)35=5(3^{x})35=5(3x), b) 117=3×2x117=3\times2^{x}117=3×2x, c) 1000=500(1+0.08)x1000=500(1+0.08)^{x}1000=500(1+0.08)x, d) 45=100(1/2)x45=100(1/2)^{x}45=100(1/2)x. Round answers to 3 decimal places.

Problem 4713

Solve the absolute value equation −3∣x∣=15-3|x| = 15−3∣x∣=15 to find the value of xxx.

Problem 4714

Determine if the given system of linear equations with y=12x−4y=\frac{1}{2}x-4y=21​x−4 and y=12x+3y=\frac{1}{2}x+3y=21​x+3 has a unique solution, no solution, or infinitely many solutions.

Problem 4715

Solve for xxx in the equation x5=810\frac{x}{5} = \frac{8}{10}5x​=108​.

Problem 4716

Find the points of intersection of the given pairs of linear and quadratic equations: y=x2+4x+3,y=5x+9y=x^{2}+4 x+3, y=5 x+9y=x2+4x+3,y=5x+9 and y=−x2−4x+6,y=x−8y=-x^{2}-4 x+6, y=x-8y=−x2−4x+6,y=x−8.

Problem 4717

Problem 4718

Solve the linear equation 9=5n+6−6n9 = 5n + 6 - 6n9=5n+6−6n for the value of nnn.

Problem 4719

Solve the linear equation 1.5x+3.9=8.41.5x + 3.9 = 8.41.5x+3.9=8.4 by subtracting 3.9 and dividing by 1.5.

Problem 4720

Find the value of ggg given the equation A=gqA = g qA=gq.

Problem 4721

Find the value of xxx in the equation 14=2x14 = 2x14=2x.

Problem 4722

Simplify 121z2\sqrt{121 z^{2}}121z2​

Problem 4723

Explain the error in the student's claim that since x2−5x−6x^{2}-5 x-6x2−5x−6 has two negative terms, both factors of ccc will be negative.

Problem 4724

Find the difference between 4x4x4x and x4x^4x4. Evaluate both expressions when x=2x=2x=2.

Problem 4725

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.2. Find xxx that satisfies −(−2x+1)=9−14x-(-2x+1)=9-14x−(−2x+1)=9−14x. Explain and check the solution.

Problem 4726

Graph the line through points (−6,−2)(-6,-2)(−6,−2) and (6,10)(6,10)(6,10). Write the line equation y=mx+by=mx+by=mx+b.

Problem 4727

Solve for the value of ddd such that 9.01<d+29.01 < d + 29.01<d+2.

Problem 4728

Solve the linear equation x=4(8+5x)x=4(8+5x)x=4(8+5x) for the value of xxx.

Problem 4729

Find the solution set for the inequality (x−2)(x+1)(x−4)≥0(x-2)(x+1)(x-4) \geq 0(x−2)(x+1)(x−4)≥0. The solution set is [−1,2],[4,∞)[-1,2],[4, \infty)[−1,2],[4,∞).

Problem 4730

Find AAA given l=6l=6l=6 and w=7w=7w=7 using the equation A=lwA=l wA=lw.

Problem 4731

Solve for xxx in the linear equation p−0.8x=18p-0.8x=18p−0.8x=18.

Problem 4732

Simplify the expression 9x2+30x+259x^{2} + 30x + 259x2+30x+25.

Problem 4733

Simplify the expression 9w2+9w+29 w^{2} + 9 w + 29w2+9w+2.

Problem 4734

Solve the equation −3=−∣c+4∣+5-3=-|c+4|+5−3=−∣c+4∣+5. The solution set is

Problem 4735

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: 3(x−10)=153(x-10)=153(x−10)=15, 3x−10=153x-10=153x−10=15, 3+(x−10)=153+(x-10)=153+(x−10)=15, 3x10=153\frac{x}{10}=15310x​=15

Problem 4736

Solve the equation 37x+5=8\frac{3}{7} x + 5 = 873​x+5=8 to find the value of xxx.

Problem 4737

Find the largest value of the expressions 2f2f2f, f+2f+2f+2, f2\frac{f}{2}2f​, and f−2f-2f−2 when f=8f=8f=8.

Problem 4738

Find the decay equation from the options: y=6(13)xy=6\left(\frac{1}{3}\right)^{x}y=6(31​)x, y=12(3)xy=\frac{1}{2}(3)^{x}y=21​(3)x, y=3x−4y=3^{x}-4y=3x−4, y=2(4)xy=2(4)^{x}y=2(4)x.

Problem 4739

Solve the linear equation 8c+2(3c+3)=128c + 2(3c + 3) = 128c+2(3c+3)=12 and find the solution set.Part 1 of 2 Identify as an expression or an equation. This is an equation.Part 2 of 2 The solution set is c=1c = 1c=1.

Problem 4740

Find the quotient of x−2x - 2x−2 divided by x3−5x2−x−10x^{3} - 5x^{2} - x - 10x3−5x2−x−10.

Find the quadratic equation's roots: $y = -\frac{1}{2}x^2 - 2x + \frac{7}{10}$

Solve $3(t^2 - 9)^2 + 16(t^2 - 9) = -5$ using substitution. Select the correct solution set.

Find the absolute value of $w$ given $|w| = 5$ .

Solve for $y$ in simplest radical form: $x^2 + y^2 + 2x - 3y + 4 = 0$

Find the solution set for the inequality $7x > 43$ . Which answer choice correctly represents all values of $x$ that satisfy this inequality?

Solve for $x$ where $-9=\frac{6}{x}$ . Simplify the solution.

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: $x-23=50$ .

Find the amount of pineapple juice needed for a punch with a $4:3$ ratio of orange to pineapple juice, given $64$ oz of orange juice.

Determine the amount of $100\%$ antifreeze needed to replace the $20\%$ solution in a radiator to achieve a $40\%$ antifreeze solution.

Find the equation $y=mx$ for the proportional relationship passing through the points $(2,-15)$ and $(6,-45)$ .

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

Estimate and solve for x in equations: a) $35=5(3^{x})$ , b) $117=3\times2^{x}$ , c) $1000=500(1+0.08)^{x}$ , d) $45=100(1/2)^{x}$ . Round answers to 3 decimal places.

Solve the absolute value equation $-3|x| = 15$ to find the value of $x$ .

Determine if the given system of linear equations with $y=\frac{1}{2}x-4$ and $y=\frac{1}{2}x+3$ has a unique solution, no solution, or infinitely many solutions.

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

Find the points of intersection of the given pairs of linear and quadratic equations: $y=x^{2}+4 x+3, y=5 x+9$ and $y=-x^{2}-4 x+6, y=x-8$ .

Solve the linear equation $9 = 5n + 6 - 6n$ for the value of $n$ .

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

Find the value of $g$ given the equation $A = g q$ .

Find the value of $x$ in the equation $14 = 2x$ .

Simplify $\sqrt{121 z^{2}}$

Explain the error in the student's claim that since $x^{2}-5 x-6$ has two negative terms, both factors of $c$ will be negative.

Find the difference between $4x$ and $x^4$ . Evaluate both expressions when $x=2$ .

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.
2. Find $x$ that satisfies $-(-2x+1)=9-14x$ . Explain and check the solution.

Graph the line through points $(-6,-2)$ and $(6,10)$ . Write the line equation $y=mx+b$ .

Solve for the value of $d$ such that $9.01 < d + 2$ .

Solve the linear equation $x=4(8+5x)$ for the value of $x$ .

Find the solution set for the inequality $(x-2)(x+1)(x-4) \geq 0$ . The solution set is $[-1,2],[4, \infty)$ .

Find $A$ given $l=6$ and $w=7$ using the equation $A=l w$ .

Solve for $x$ in the linear equation $p-0.8x=18$ .

Simplify the expression $9x^{2} + 30x + 25$ .

Simplify the expression $9 w^{2} + 9 w + 2$ .

Solve the equation $-3=-|c+4|+5$ . The solution set is

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

Solve the equation $\frac{3}{7} x + 5 = 8$ to find the value of $x$ .

Find the largest value of the expressions $2f$ , $f+2$ , $\frac{f}{2}$ , and $f-2$ when $f=8$ .

Find the decay equation from the options: $y=6\left(\frac{1}{3}\right)^{x}$ , $y=\frac{1}{2}(3)^{x}$ , $y=3^{x}-4$ , $y=2(4)^{x}$ .

Solve the linear equation $8c + 2(3c + 3) = 12$ and find the solution set.
Part 1 of 2 Identify as an expression or an equation. This is an equation.
Part 2 of 2 The solution set is $c = 1$ .

Find the quotient of $x - 2$ divided by $x^{3} - 5x^{2} - x - 10$ .

Evaluate $3(x-7)+5$ when $x=9$ .

Find the equation for a line with the equation $y=x$ .

Solve the equation $4p + 25 = 6(p - 3) - 3(4 - 3p)$ .

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

Simplify the expression $5+W-7.5W-\frac{1}{2}$ by adding or subtracting like terms.

Find the weight (in pounds) of an airplane carrying $45$ gallons of fuel, given that its weight is a linear function of the amount of fuel (in gallons), and the weights are $2028$ pounds with $20$ gallons and $2124$ pounds with $35$ gallons.

Determine the value of "a" in the equation $y = a x(x - 6)$ by substituting the vertex point $(25, 3)$ . Round "a" to one decimal place.

Find the number of solutions to the equation $6-7j=-8j$ .

Solve the rational equation $3x^{2/3} - 4 = 8$ .

Graph the equation $x=7$ by plotting points. Determine the domain and range.

Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

Encuentra el valor de $x$ que satisface la ecuación $\frac{x}{4}=\frac{4}{8}$ .

Solve for $x$ in the equation ${ }_{n} P_{4}=4{ }_{n-1} P_{3}$ , where ${ }_{n} P_{k}$ represents the number of permutations of $k$ items from a set of $n$ items.

Find the value of $(5 x)^{0}$ .

Solve for $r$ in terms of $s, t, u$ , and $v$ where $u r=-t v s$ and $r=$ .

Solve the linear equation $\frac{1}{7} y = 3$ for $y$ . Find the values of the given expressions.

Verwende die pq-Formel, um die Gleichung $x^{2}-6 x+8=0$ zu lösen.

Solve the equation $3(2x+1) = 2x-1$ , showing all work.

Simplify the expression $20 x^{2} y - 28 x$ .

Find the real numbers $x$ that satisfy the equation $|x| = 25.8$ .

Find the formula for $C$ as a function of $G$ if $C$ is proportional to $G^2$ and $C=40$ when $G=5$ . Then use the formula to find $G$ when $C=10$ .
$\mathbf{C} = kG^2$ $k = 40/5^2 = 1.6$ $G = \sqrt{10/1.6} = 2.5$

Solve the equation $x-2=10$ using the addition or subtraction property of equality, then check the solution.

Arrange the steps to solve the equation $\frac{1}{4}(x-1)+3x=2$ .

Find the slope-intercept form of the linear equation $-5x + 15y = -30$ .

Find the value of $m$ that satisfies the equation $-(6 m+8)=(17-m)$ .

Find the original price of a saw if the sales tax is $9.25\%$ and the sales tax charged is $\$ 6.29$ .

Solve the equation $16 x = 2 + 5(4 + x)$ . Show all work.

Solve the linear equation $9d + 2d + 3d - 4 = 5d$ .

Find the value of $n$ if $18=n-18$ .

Negate the statement " $-2 \leq x \leq-1$ or $1 \leq x \leq 2$ ". Select the correct option.