Browse Algebra problems in the Studdy Learning Bank!

Problem 2001

Solve for the variable $v$ in the equation $\frac{v}{2} = 12$ .

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Problem 2002

Find the sum of $(-7a - 3b)$ and $9a$ . Enter the correct answer.

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Problem 2003

If the discriminant of an equation is positive, the equation has $\textbf{two real solutions}$ .

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Problem 2004

Find the product and the domain of $\frac{5a}{5a+5} \cdot (10a+10)$ and $\frac{x^2-5x}{x^2-3x} \cdot \frac{x+3}{x-5}$ .

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Problem 2005

Solve the linear equation $3009+r=7090$ for $r$ . Find all real solutions.

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Problem 2006

Solve the absolute value equation $|3x+5| = 1$ for the value of $x$ .

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Problem 2007

Solve the equation $8 v - 15 = 9$ and express the result as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 2008

Find the value of $y$ that satisfies the equation $10y + 1 = 51$ .

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Problem 2009

Laura pumps water into an aquarium at 13 L/min. The aquarium starts with 25 L. Solve the inequality $13x+25 \leq 298$ for the number of minutes $x$ she pumps.

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Problem 2010

Find all times (in seconds) when a ball thrown with initial height 6 ft and velocity 44 ft/s reaches a height of 26 ft. Solve the quadratic equation $h = 6 + 44t - 16t^2 = 26$ to find $t$ .

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Problem 2011

Rewrite each equation in the form $y=a(x-h)^2+k$ by completing the square: a) $y=x^2+6x-1$ , b) $y=x^2+10x+20$ .

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Problem 2012

Determine if $v=10$ is a solution to the equation $0.2v=1.2$ .

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Problem 2013

Find the equation for the problem: When 296 is decreased by $11x$ , the result is 21. Solve for $x$ and check two answers.

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Problem 2014

Determine the parity of the function $g(x) = -2x^4 + 5x^2$ .

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Problem 2015

Find the difference equivalent to $9(x-y)$ .

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Problem 2016

Find the discriminant of the quadratic equation $4x^2 - 12x - 6 = 0$ .

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Problem 2017

Solve $3(2 g+2.5)=15.9$ for $g$ . Determine if the given solution is correct and find the correct value of $g$ .

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Problem 2018

Solve linear equations with one variable. Click to show solutions for -75, -3, and other values.

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Problem 2019

Find the point that satisfies the equation $y=8\left(\frac{1}{4}\right)^{x}$ . Options: $(-2,0)$ , $(-1,-2)$ , $(1,2)$ , $(2,1)$ .

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Problem 2020

Solve $(x+6)(x-6)=0$ for $x$ , express answer in reduced fraction form.

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Problem 2021

Solve $7 x^{2} + 1 = -4 x$ over complex numbers. Solution set is $x = \frac{-1 \pm \sqrt{1 - 28}}{14}$ .

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Problem 2022

Solve linear equation $-\frac{1}{9} x + 3 = 0$ to find the value of $x$ .

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Problem 2023

Given the point $(7,3)$ on the graph of an equation, the statement that must be true is: $x=7$ and $y=3$ make the equation true.

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Problem 2024

Solve the quadratic equation $10=x^{2}-3x$ for the value of $x$ .

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Problem 2025

7. Find $m$ such that $\frac{2 x}{m}+\frac{3 a}{x}=\frac{5}{c}$
8. Solve $x^{2}=7-8 x$ by completing the square
9. Solve $189 x=3 x^{3}+6 x^{2}$ by factoring
10. Solve $7=2+\sqrt{x+3}$
11. Solve $3 x^{0}-4 x\left(-1-3^{0}\right)=5(x+3)$

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Problem 2026

Find the difference between -16 and -5.

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Problem 2027

Solve the equation $7e^{2m-1} - 3 = 11$ . Find the exact solution set using logarithms and approximate solutions to 4 decimal places.

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Problem 2028

Solve the inequality $3(x-2)<2(x+9)$ .

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Problem 2029

Solve the one-variable equation $-3x + 5 = -2(x + 7) + 2x + 4$ .

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Problem 2030

Solve for $x$ in the equation $x_{1} \cdot 3+x=-12$ .

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Problem 2031

Find the value of $9g - 12$ when $g=8$ .

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Problem 2032

Find the equation of the line passing through the points (1, 1) and (5, 6). $y = \frac{5}{4}x - \frac{1}{4}$

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Problem 2033

Find the equation to solve for $x$ : $9x + 40 = 90$

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Problem 2034

Solve for $x$ where $3x+3 \leq 3(10+x)$ . Determine if the solution is no solution or all real numbers.

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Problem 2035

Solve for $x$ , showing step-by-step work. $3x - 10 = 2(x + 6)$

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Problem 2036

Create a tile pattern that grows by 5 tiles per figure, starting with 4 tiles. Draw figures 1, 2, and 3. Make an $x \rightarrow y$ table and write an equation for the pattern.

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Problem 2037

Find the value of $x$ in the given equations. Select all that apply. A) $x \div \frac{1}{4}=8$ B) $x \div \frac{1}{8}=40$ C) $3 \div \frac{1}{x}=15$ D) $6 \div \frac{1}{x}=18$

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Problem 2038

Solve the inequality $x+7<12$ for the variable $x$ .

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Problem 2039

Evaluate the expression $m-3n$ when $m=8$ and $n=2$ .

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Problem 2040

Résoudre l'équation $3 b^{2}-56+b=-8+b$ pour trouver la valeur de $b$ .

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Problem 2041

Graph the inequality $x^2 - 3x - 28 > 0$ and find the solution set.

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Problem 2042

Solve the system of linear equations $x \cdot y = 9$ and $x + y = -19$ for $x$ and $y$ .

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Problem 2043

Solve the linear equation $4(w-6)=3(w+1)$ for the variable $w$ .

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Problem 2044

Find the absolute value of the expression $|a - 4b|$ when $a = 7$ and $b = 2$ .

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Problem 2045

Find the absolute values of variables given various equations.
1. $|b|=\frac{2}{3}$
2. $10=|y|$
3. $|n|+2=5$
4. $4=|s|-3$
5. $|x|-5=-1$
6. $7|d|=49$

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Problem 2046

Solve for $z$ in the equation $-81-4 z=6 z+9$ .

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Problem 2047

Résoudre l'équation $2x + 7 = 3x - 9$ et trouver les valeurs des variables données.

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Problem 2048

Find the domain of the rational expression $\frac{x-6}{x+8}$ .

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Problem 2049

Find the real solutions of the equation $|2-3t|+3=14$ .

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Problem 2050

Find the ratio $x:y$ given the linear equation $6x + 4y = 7y - x$ .

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Problem 2051

Solve the equation $(x-5)(x+5)=0$ and express the answer in reduced fraction form, if needed.

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Problem 2052

Solve the linear equation $2x + 4 = 2x + \_\_$ for the missing value.

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Problem 2053

Solve the absolute value inequality $|x+6| > 9$ to find the set of values for $x$ .

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Problem 2054

Simplify polynomial expressions $f(x)=x^{3}+4x^{2}-25x-20$ and $f(x)=2x^{3}+11x^{2}-21x-90$ with $(x+6)$ .

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Problem 2055

Find the value of $k$ given the equation $-25+k=21$ .

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Problem 2056

Simplify the expression $\frac{1}{5}(b+7)$ by applying the distributive property.

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Problem 2057

Solve the linear equation $2z+1=15$ to find the value of $z$ .

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Problem 2058

Evaluate and approximate to nearest hundredth: $2^{1 / 5} \cdot 2^{2 / 7}$ .

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Problem 2059

Find the solution to the system of inequalities: $3x+10 \geq 4, -2 \leq x \leq 2$ .

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Problem 2060

Find the slope of the line $y=\frac{11}{16}x+\frac{8}{7}$ . Express the answer as an integer or simplified fraction.

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Problem 2061

Simplify $16^{-0.25}$ .

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Problem 2062

Mix 30% and 50% acid solutions to make 80 liters of 35% acid solution. Find the required volumes.

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Problem 2063

Find the explicit formula for the sequence $180, 30, 5, \ldots$ where $a_n$ is the $n$ th term.

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Problem 2064

Solve for $x$ using the multiplication property of equality. The solution is $x = 54$ .

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Problem 2065

Solve the linear equation $2x - 5y = 10$ for $x$ and $y$ .

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Problem 2066

Solve each equation: 1) $6 = \frac{a}{4} + 2$ , 2) $-6 + \frac{x}{4} = -5, x = \frac{10}{3}$ , 3) $9x - 7 = -7$ , 4) $0 = 4 + \frac{n}{5}, n = 20$ , 5) $-4 = \frac{r}{20} - 5, r = 20$ , 6) $-1 = \frac{5 + x}{6}, x = -11$ , 7) $\frac{v + 9}{3} = 8$ , 8) $2(n + 5) = -2$ , 9) $-9x + 1 = -80$ , 10) $-6 = \frac{n}{2} - 10$ .

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Problem 2067

For the function $f(x)=\frac{2-x}{x+6}$ , the slope is negative for all $x$ except $x=-6$ .

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Problem 2068

Multiply $x$ by 2, then subtract 6. Given $x \in \{-1,1,3,5\}$ , find one of the output values $y$ .

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Problem 2069

Find the value of $x$ given that $AB=2x-16$ , $BC=3x-19$ , and $AC=30$ .

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Problem 2070

Simplify the expression $2\left(-12 x-\frac{3}{2}\right)+4 x$ . Which of the given options is equivalent?

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Problem 2071

Solve the linear equation $\frac{3}{4} x + 20 = 29$ to find the value of $x$ .

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Problem 2072

Write $\frac{2x + 6}{5}$ as two terms.

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Problem 2073

Graph the function $f(x) = (x+5)^2 + 6$ by shifting, compressing, stretching, and/or reflecting the basic function.

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Problem 2074

Solve the equation $2g + 4(-8 + 3g) = 1 - g$ and check your solution. Find the value of $g$ .

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Problem 2075

Determine the type of function $f(x) = 35x$ .

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Problem 2076

Is the point $(-4,1)$ a solution to the inequality $y < 2x + 4$ ? Circle yes or no with supporting work.

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Problem 2077

Найдите уравнение прямой $q$ , которая вместе с прямой $n$ образует систему с единственным решением при $x=\frac{3}{2}$ и $y=0$ . Варианты: a) $y=\frac{3}{2} x$ b) $y=\frac{4}{3} x-2$ c) $y=-\frac{5}{2} x+1$ d) $y=-\frac{2}{3} x+\frac{3}{2}$

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Problem 2078

Find the duration of Tom's rental scooter ride, given a $3 start fee and$ 0.11 per minute, resulting in a total bill of $21.48.

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Problem 2079

Find the solution(s) of the equation $\sqrt{2 x-4}-x+6=0$ . There are two solutions: $x=4$ and $x=10$ .

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Problem 2080

Solve the quadratic equation $-3x^2 = 4 - 6x$ for the unknown variable $x$ .

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Problem 2081

Find the equation of the directrix of the parabola defined by the equation $(y-3)^2 = -12x$ .

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Problem 2082

Solve for $v$ in the equation $\frac{v-6}{v-3}-1=\frac{v+1}{v-1}$ . Separate multiple solutions with commas, or click "No solution" if no solution exists.

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Problem 2083

Find the value of $a$ given that the sum of 12 and the product of 4 and $a$ equals 36.

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Problem 2084

Find the domain and vertical asymptotes of $f(x)=\frac{x^{2}+x-56}{x-7}$ .

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Problem 2085

Shift parabola down 3 units: $y=x^{2}-3$

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Problem 2086

Solve the quadratic equations: $(2x+5)(4x+3)=0, (x+2)(x-7)=0, (x+3)(x+5)=0, (5x+7)(x+4)=0$

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Problem 2087

Solve the absolute value equation $2|4x+2| = 52$ to find the values of $x$ .

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Problem 2088

Finde die Nullstellen der Funktion $g(x) = x^3 - 2x^2$ .

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Problem 2089

Find the equation of a graph compressed vertically by $\frac{3}{7}$ from $y=(x-2)^{3}$ . The final equation is $y=\frac{3}{7}(x-2)^{3}$ .

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Problem 2090

Find the missing operator in the inequality $-2x \quad \underline{\hspace{2em}} \quad -12$ when $x > 6$ .

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Problem 2091

Simplify the squared expression $y+7$ .

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Problem 2092

Determine the relationship between the linear equations $y=-4x+6$ and $y=-4x+6$ .

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Problem 2093

Convert subtraction equations to addition equations: a. $a + 9 = 6$ , b. $p + 20 = -30$ , c. $z + 12 = 15$ , d. $x + 7 = -10$ .

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Problem 2094

Compute $f(x) = 6 \cdot 3^x$ and find $f(-2)$ .

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Problem 2095

Find the value of $n$ that makes $3n - (2+n) = 6$ .

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Problem 2096

Find the value of $r$ in terms of $s$ and $t$ given the equation $s=\frac{t(r+1)}{7}$ .

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Problem 2097

Find the number of associates and partners assigned to a case where the daily rate for associates is $500 and for partners is$ 1400, and the total daily charge to the client is $5800.

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Problem 2098

Write an equation to describe the proportional relationship between paint used (x quarts) and wall area (y sq. yards) given the table: $3x = 23 \frac{1}{2}y, 4x = 31 \frac{1}{3}y, 5x = 39 \frac{1}{6}y$ .

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Problem 2099

Find the value of $w$ if $16=2(2w+w-1)$ .

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Problem 2100

Find which values of the variable satisfy the given equations: $d+9=35$ with $d=16,22,26,36$ , and $14 n=35$ with $n=2,3,3.5,4$ .

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Algebra

Problem 2001

Solve for the variable vvv in the equation v2=12\frac{v}{2} = 122v​=12.

Problem 2002

Find the sum of (−7a−3b)(-7a - 3b)(−7a−3b) and 9a9a9a. Enter the correct answer.

Problem 2003

If the discriminant of an equation is positive, the equation has two real solutions\textbf{two real solutions}two real solutions.

Problem 2004

Find the product and the domain of 5a5a+5⋅(10a+10)\frac{5a}{5a+5} \cdot (10a+10)5a+55a​⋅(10a+10) and x2−5xx2−3x⋅x+3x−5\frac{x^2-5x}{x^2-3x} \cdot \frac{x+3}{x-5}x2−3xx2−5x​⋅x−5x+3​.

Problem 2005

Solve the linear equation 3009+r=70903009+r=70903009+r=7090 for rrr. Find all real solutions.

Problem 2006

Solve the absolute value equation ∣3x+5∣=1|3x+5| = 1∣3x+5∣=1 for the value of xxx.

Problem 2007

Solve the equation 8v−15=98 v - 15 = 98v−15=9 and express the result as an integer, simplified fraction, or decimal rounded to two decimal places.

Problem 2008

Find the value of yyy that satisfies the equation 10y+1=5110y + 1 = 5110y+1=51.

Problem 2009

Laura pumps water into an aquarium at 13 L/min. The aquarium starts with 25 L. Solve the inequality 13x+25≤29813x+25 \leq 29813x+25≤298 for the number of minutes xxx she pumps.

Problem 2010

Find all times (in seconds) when a ball thrown with initial height 6 ft and velocity 44 ft/s reaches a height of 26 ft. Solve the quadratic equation h=6+44t−16t2=26h = 6 + 44t - 16t^2 = 26h=6+44t−16t2=26 to find ttt.

Problem 2011

Rewrite each equation in the form y=a(x−h)2+ky=a(x-h)^2+ky=a(x−h)2+k by completing the square: a) y=x2+6x−1y=x^2+6x-1y=x2+6x−1, b) y=x2+10x+20y=x^2+10x+20y=x2+10x+20.

Problem 2012

Determine if v=10v=10v=10 is a solution to the equation 0.2v=1.20.2v=1.20.2v=1.2.

Problem 2013

Find the equation for the problem: When 296 is decreased by 11x11x11x, the result is 21. Solve for xxx and check two answers.

Problem 2014

Determine the parity of the function g(x)=−2x4+5x2g(x) = -2x^4 + 5x^2g(x)=−2x4+5x2.

Problem 2015

Find the difference equivalent to 9(x−y)9(x-y)9(x−y).

Problem 2016

Find the discriminant of the quadratic equation 4x2−12x−6=04x^2 - 12x - 6 = 04x2−12x−6=0.

Problem 2017

Solve 3(2g+2.5)=15.93(2 g+2.5)=15.93(2g+2.5)=15.9 for ggg. Determine if the given solution is correct and find the correct value of ggg.

Problem 2018

Solve linear equations with one variable. Click to show solutions for -75, -3, and other values.

Problem 2019

Find the point that satisfies the equation y=8(14)xy=8\left(\frac{1}{4}\right)^{x}y=8(41​)x. Options: (−2,0)(-2,0)(−2,0), (−1,−2)(-1,-2)(−1,−2), (1,2)(1,2)(1,2), (2,1)(2,1)(2,1).

Problem 2020

Solve (x+6)(x−6)=0(x+6)(x-6)=0(x+6)(x−6)=0 for xxx, express answer in reduced fraction form.

Problem 2021

Solve 7x2+1=−4x7 x^{2} + 1 = -4 x7x2+1=−4x over complex numbers. Solution set is x=−1±1−2814x = \frac{-1 \pm \sqrt{1 - 28}}{14}x=14−1±1−28​​.

Problem 2022

Solve linear equation −19x+3=0-\frac{1}{9} x + 3 = 0−91​x+3=0 to find the value of xxx.

Problem 2023

Given the point (7,3)(7,3)(7,3) on the graph of an equation, the statement that must be true is: x=7x=7x=7 and y=3y=3y=3 make the equation true.

Problem 2024

Solve the quadratic equation 10=x2−3x10=x^{2}-3x10=x2−3x for the value of xxx.

Problem 2025

Problem 2026

Find the difference between -16 and -5.

Problem 2027

Solve the equation 7e2m−1−3=117e^{2m-1} - 3 = 117e2m−1−3=11. Find the exact solution set using logarithms and approximate solutions to 4 decimal places.

Problem 2028

Solve the inequality 3(x−2)<2(x+9)3(x-2)<2(x+9)3(x−2)<2(x+9).

Problem 2029

Solve the one-variable equation −3x+5=−2(x+7)+2x+4-3x + 5 = -2(x + 7) + 2x + 4−3x+5=−2(x+7)+2x+4.

Problem 2030

Solve for xxx in the equation x1⋅3+x=−12x_{1} \cdot 3+x=-12x1​⋅3+x=−12.

Problem 2031

Find the value of 9g−129g - 129g−12 when g=8g=8g=8.

Problem 2032

Find the equation of the line passing through the points (1, 1) and (5, 6). y=54x−14y = \frac{5}{4}x - \frac{1}{4}y=45​x−41​

Problem 2033

Find the equation to solve for xxx: 9x+40=909x + 40 = 909x+40=90

Problem 2034

Solve for xxx where 3x+3≤3(10+x)3x+3 \leq 3(10+x)3x+3≤3(10+x). Determine if the solution is no solution or all real numbers.

Problem 2035

Solve for xxx, showing step-by-step work. 3x−10=2(x+6)3x - 10 = 2(x + 6)3x−10=2(x+6)

Problem 2036

Create a tile pattern that grows by 5 tiles per figure, starting with 4 tiles. Draw figures 1, 2, and 3. Make an x→yx \rightarrow yx→y table and write an equation for the pattern.

Problem 2037

Find the value of xxx in the given equations. Select all that apply. A) x÷14=8x \div \frac{1}{4}=8x÷41​=8 B) x÷18=40x \div \frac{1}{8}=40x÷81​=40 C) 3÷1x=153 \div \frac{1}{x}=153÷x1​=15 D) 6÷1x=186 \div \frac{1}{x}=186÷x1​=18

Problem 2038

Solve the inequality x+7<12x+7<12x+7<12 for the variable xxx.

Problem 2039

Evaluate the expression m−3nm-3nm−3n when m=8m=8m=8 and n=2n=2n=2.

Problem 2040

Résoudre l'équation 3b2−56+b=−8+b3 b^{2}-56+b=-8+b3b2−56+b=−8+b pour trouver la valeur de bbb.

Solve for the variable $v$ in the equation $\frac{v}{2} = 12$ .

Find the sum of $(-7a - 3b)$ and $9a$ . Enter the correct answer.

If the discriminant of an equation is positive, the equation has $\textbf{two real solutions}$ .

Find the product and the domain of $\frac{5a}{5a+5} \cdot (10a+10)$ and $\frac{x^2-5x}{x^2-3x} \cdot \frac{x+3}{x-5}$ .

Solve the linear equation $3009+r=7090$ for $r$ . Find all real solutions.

Solve the absolute value equation $|3x+5| = 1$ for the value of $x$ .

Solve the equation $8 v - 15 = 9$ and express the result as an integer, simplified fraction, or decimal rounded to two decimal places.

Find the value of $y$ that satisfies the equation $10y + 1 = 51$ .

Laura pumps water into an aquarium at 13 L/min. The aquarium starts with 25 L. Solve the inequality $13x+25 \leq 298$ for the number of minutes $x$ she pumps.

Find all times (in seconds) when a ball thrown with initial height 6 ft and velocity 44 ft/s reaches a height of 26 ft. Solve the quadratic equation $h = 6 + 44t - 16t^2 = 26$ to find $t$ .

Rewrite each equation in the form $y=a(x-h)^2+k$ by completing the square: a) $y=x^2+6x-1$ , b) $y=x^2+10x+20$ .

Determine if $v=10$ is a solution to the equation $0.2v=1.2$ .

Find the equation for the problem: When 296 is decreased by $11x$ , the result is 21. Solve for $x$ and check two answers.

Determine the parity of the function $g(x) = -2x^4 + 5x^2$ .

Find the difference equivalent to $9(x-y)$ .

Find the discriminant of the quadratic equation $4x^2 - 12x - 6 = 0$ .

Solve $3(2 g+2.5)=15.9$ for $g$ . Determine if the given solution is correct and find the correct value of $g$ .

Find the point that satisfies the equation $y=8\left(\frac{1}{4}\right)^{x}$ . Options: $(-2,0)$ , $(-1,-2)$ , $(1,2)$ , $(2,1)$ .

Solve $(x+6)(x-6)=0$ for $x$ , express answer in reduced fraction form.

Solve $7 x^{2} + 1 = -4 x$ over complex numbers. Solution set is $x = \frac{-1 \pm \sqrt{1 - 28}}{14}$ .

Solve linear equation $-\frac{1}{9} x + 3 = 0$ to find the value of $x$ .

Given the point $(7,3)$ on the graph of an equation, the statement that must be true is: $x=7$ and $y=3$ make the equation true.

Solve the quadratic equation $10=x^{2}-3x$ for the value of $x$ .

Solve the equation $7e^{2m-1} - 3 = 11$ . Find the exact solution set using logarithms and approximate solutions to 4 decimal places.

Solve the inequality $3(x-2)<2(x+9)$ .

Solve the one-variable equation $-3x + 5 = -2(x + 7) + 2x + 4$ .

Solve for $x$ in the equation $x_{1} \cdot 3+x=-12$ .

Find the value of $9g - 12$ when $g=8$ .

Find the equation of the line passing through the points (1, 1) and (5, 6). $y = \frac{5}{4}x - \frac{1}{4}$

Find the equation to solve for $x$ : $9x + 40 = 90$

Solve for $x$ where $3x+3 \leq 3(10+x)$ . Determine if the solution is no solution or all real numbers.

Solve for $x$ , showing step-by-step work. $3x - 10 = 2(x + 6)$

Create a tile pattern that grows by 5 tiles per figure, starting with 4 tiles. Draw figures 1, 2, and 3. Make an $x \rightarrow y$ table and write an equation for the pattern.

Find the value of $x$ in the given equations. Select all that apply. A) $x \div \frac{1}{4}=8$ B) $x \div \frac{1}{8}=40$ C) $3 \div \frac{1}{x}=15$ D) $6 \div \frac{1}{x}=18$

Solve the inequality $x+7<12$ for the variable $x$ .

Evaluate the expression $m-3n$ when $m=8$ and $n=2$ .

Résoudre l'équation $3 b^{2}-56+b=-8+b$ pour trouver la valeur de $b$ .

Graph the inequality $x^2 - 3x - 28 > 0$ and find the solution set.

Solve the system of linear equations $x \cdot y = 9$ and $x + y = -19$ for $x$ and $y$ .

Solve the linear equation $4(w-6)=3(w+1)$ for the variable $w$ .

Find the absolute value of the expression $|a - 4b|$ when $a = 7$ and $b = 2$ .

Find the absolute values of variables given various equations.
1. $|b|=\frac{2}{3}$
2. $10=|y|$
3. $|n|+2=5$
4. $4=|s|-3$
5. $|x|-5=-1$
6. $7|d|=49$

Solve for $z$ in the equation $-81-4 z=6 z+9$ .

Résoudre l'équation $2x + 7 = 3x - 9$ et trouver les valeurs des variables données.

Find the domain of the rational expression $\frac{x-6}{x+8}$ .

Find the real solutions of the equation $|2-3t|+3=14$ .

Find the ratio $x:y$ given the linear equation $6x + 4y = 7y - x$ .

Solve the equation $(x-5)(x+5)=0$ and express the answer in reduced fraction form, if needed.

Solve the linear equation $2x + 4 = 2x + \_\_$ for the missing value.

Solve the absolute value inequality $|x+6| > 9$ to find the set of values for $x$ .

Simplify polynomial expressions $f(x)=x^{3}+4x^{2}-25x-20$ and $f(x)=2x^{3}+11x^{2}-21x-90$ with $(x+6)$ .

Find the value of $k$ given the equation $-25+k=21$ .

Simplify the expression $\frac{1}{5}(b+7)$ by applying the distributive property.

Solve the linear equation $2z+1=15$ to find the value of $z$ .

Evaluate and approximate to nearest hundredth: $2^{1 / 5} \cdot 2^{2 / 7}$ .

Find the solution to the system of inequalities: $3x+10 \geq 4, -2 \leq x \leq 2$ .

Find the slope of the line $y=\frac{11}{16}x+\frac{8}{7}$ . Express the answer as an integer or simplified fraction.

Simplify $16^{-0.25}$ .

Find the explicit formula for the sequence $180, 30, 5, \ldots$ where $a_n$ is the $n$ th term.

Solve for $x$ using the multiplication property of equality. The solution is $x = 54$ .

Solve the linear equation $2x - 5y = 10$ for $x$ and $y$ .

For the function $f(x)=\frac{2-x}{x+6}$ , the slope is negative for all $x$ except $x=-6$ .

Multiply $x$ by 2, then subtract 6. Given $x \in \{-1,1,3,5\}$ , find one of the output values $y$ .

Find the value of $x$ given that $AB=2x-16$ , $BC=3x-19$ , and $AC=30$ .

Simplify the expression $2\left(-12 x-\frac{3}{2}\right)+4 x$ . Which of the given options is equivalent?

Solve the linear equation $\frac{3}{4} x + 20 = 29$ to find the value of $x$ .

Write $\frac{2x + 6}{5}$ as two terms.

Graph the function $f(x) = (x+5)^2 + 6$ by shifting, compressing, stretching, and/or reflecting the basic function.

Solve the equation $2g + 4(-8 + 3g) = 1 - g$ and check your solution. Find the value of $g$ .