Browse Algebra problems in the Studdy Learning Bank!

Problem 4001

Find the exponential form of the equation $5 = \log_b 243$ .

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Problem 4002

Solve the quadratic equation $(z+9)(5z-7)=18$ and find the value of the missing term in $5z^2 + \square - 63 = 18$ .

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Problem 4003

Solve the equation $7^{2x} + 7^x - 12 = 0$ and express the solution set using logarithms.

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Problem 4004

Find the value that makes the equation $7.6-?=-3 \frac{2}{5}$ true.

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Problem 4005

Solve for $x$ in the equation $\sqrt{8-x}=5$ .

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Problem 4006

Find two binomials whose product equals $6 x^{4}-4 x^{2}+9 x^{2}-6$ .

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Problem 4007

Solve for the variable $v$ in the equation $4v = 96$ . Simplify the solution.

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Problem 4008

When $x$ varies directly with $y$ for $k>0$ , if $x$ increases, $y$ increases, and if $x$ decreases, $y$ decreases.

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Problem 4009

Find the values of $x$ that satisfy the quadratic equation $f(x) = 2x(x+9) = 0$ .

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Problem 4010

Find the range of values for $x$ satisfying $-1 \leq x < -6$ .

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Problem 4011

Solve the equation $9(x-6)=-27$ in steps, choosing the best reason for each step.

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Problem 4012

Find the reflection of $f(x)=x^2$ across the $x$ -axis. Express the result in the form $a(x-h)^2+k$ , where $a$ , $h$ , and $k$ are integers.

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Problem 4013

Find $y=ab^x+c\sin(\pi x/2)$ that fits data $\{(x,y)\}=\{(0,2),(1,13),(2,32),(3,123)\}$ . Determine $a$ , $b$ , and $c$ .

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Problem 4014

Bakery wants to sell 80 cupcakes at price $x$ to make $\$132$ profit. Which equation finds $x$ ? (A) $80x -$ 0.60x - $100 =$ 132 (B) $80x +$ 0.60x + $100 =$ 132 (C) $80x -$ 0.60(80) - $100 =$ 132 (D) $80x +$ 0.60(80) + $100 =$ 132

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Problem 4015

Solve the quadratic equation $(t+7)^2 = 9$ and provide the solution set.

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Problem 4016

Find the number of trees in each row of an orchard with 713 pear trees, where the number of rows exceeds the number of trees per row by 8.
Let $x$ be the number of trees per row. Then, the number of rows is $x + 8$ . The total number of trees is 713, so we have the equation: $x(x + 8) = 713$ Solve this equation to find the number of trees in each row.

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Problem 4017

Solve for $p$ given $\frac{8}{p}=-96$ .

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Problem 4018

Find the solution set for the quadratic equation $y(y-6)=-15$ .

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Problem 4019

Solve for N in the equation $125 = \frac{15.5}{N}$ , and evaluate the following expressions: $140.5$ , $109.5$ , $1937.5$ , and $0.124$ .

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Problem 4020

Find the value of the variable that satisfies the equation $d-(-10)+4d=0$ from the given set {-2, 2, 5, -5}.

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Problem 4021

Solve the linear equation $-2=\frac{7}{6} z$ and express the solution as an integer, simplified fraction, or decimal to two places.

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Problem 4022

Calculate Jim's GPA for the semester, given the following grades and credit hours: MATH 128 (A, 5 credits), ENG 152 (B+, 4 credits), COM 210 (C-, 3 credits), HIST 151 (A-, 3 credits). Round the answer to the nearest hundredth.

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Problem 4023

Write an inequality for $x \leq 7$ .

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Problem 4024

Solve the equation $2^{x}=3$ and find the set of solutions.

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Problem 4025

Solve the equation $f(x)=0$ , the inequality $f(x)<0$ , and the inequality $f(x)>0$ using the graph of $y=f(x)$ .
a) The solution is the interval $\square$ . b) The solution is the list of $x$ -values $\square$ .

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Problem 4026

Find the expression with sum $14: (A) \sum_{k=1}^{3} k$ (B) $\sum_{k=1}^{3} k^{2}$ (C) $\sum_{k=1}^{3} 7 k$ (D) $\sum_{k=1}^{14} k$

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Problem 4027

Solve the quadratic equation $15 z^{2} - 34 z - 16 = 0$ for real values of $z$ .

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Problem 4028

The system of linear equations has $6x + y = 6$ and $-6x - y = 2$ . Classify the system as consistent or inconsistent, and solve it graphically and symbolically.
Solve the system graphically: A. The solution of the system is $(1, 4)$ because the lines intersect. B. The system has infinitely many solutions because the lines are coincident. C. The system has no solution because the lines are parallel.
Solve the system symbolically using the method of elimination: $\begin{array}{rlrl} 6 x+y & =6 \\ -6 x-y & =2 & & \text { Multiply by }-1 \\ \hline 12 x & =8 & & \text { Add. } \end{array}$

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Problem 4029

Solve for $y$ in the quadratic equation $y^{2}-8 y+7=0$ . If there are multiple solutions, list them separated by commas. If no solution, select "No solution".

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Problem 4030

Represent the phrase "word sentence" as an inequality. The number $y$ is less than or equal to -8.

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Problem 4031

Solve $4c - 2w = y + 1$ for $c$ and find the solution in terms of $y$ and $w$ .

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Problem 4032

Solve the linear equation $6x + 2 = 2x + 46$ and select the correct solution set.

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Problem 4033

Find the missing value in the equation: $\frac{\square}{t+7} \times \frac{3(t+7)}{t+1}=\frac{15(t+13)}{t+1}$

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Problem 4034

Solve for variable $c$ in the linear equation $P = a + 6 + c$ .

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Problem 4035

Find a formula for the sum of $f(x)=x^2-5$ and $g(x)=|x+1|$ . Identify the domain of the sum.

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Problem 4036

What annual percent change does the model $y=0.75(1.25)^{x}$ represent? a) $125\%$ increase, b) $25\%$ decrease, c) $75\%$ decrease, d) $25\%$ increase.

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Problem 4037

Identify the inverse of "Subtract 4 from $x$ and multiply by 2". Represent the statement and inverse symbolically.

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Problem 4038

Analyze the quadratic function $F(x)=x^2-12x-25$ and its properties.

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Problem 4039

Simplify the expression $2 \log _{9}(3)-4 \log _{9}(3)+\log _{9}\left(\frac{1}{729}\right)$ .

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Problem 4040

Solve for $m$ in the equation $m(m-2)=35$ .

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Problem 4041

Find the value of $x_{3}$ using the iterative formula $x_{n+1}=5-\frac{2}{x_{n}}$ with $x_{1}=8$ , rounded to 3 d.p.

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Problem 4042

Find the value of $x$ that satisfies the equation $20=5:10$ .

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Problem 4043

Solve for positive variable $a$ in the equation $(a-5b) = 6ac + 3d$ .

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Problem 4044

Determine the slope of the line relating number of toys ordered and total cost. The graph shows that for 2 toys at $15 and 7 toys at$ 30, what is the change in number of toys and total cost?
Slope = $\frac{\text{change in total cost}}{\text{change in number of toys}}$

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Problem 4045

Identify the line with an error in the equation $6x-2(x-5)=22$ .

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Problem 4046

Solve the inequality $\frac{x+3}{8}-\frac{x+5}{5} \geq \frac{3}{10}$ for the value of $x$ .

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Problem 4047

Solve the system of simultaneous equations $x-9y=10$ and $3y^2=4x+7$ , then show that $3y^2-36y-47=0$ .

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Problem 4048

Isolate variable $t$ in the equation $d=rt$ by dividing both sides by $r$ . True or false?

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Problem 4049

Using synthetic division, find the factored form of $x^{4}+6 x^{3}+33 x^{2}+150 x+200$ .

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Problem 4050

Find the discriminant of $x^2 - x + 6 = 0$ and describe its solutions.

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Problem 4051

Find the value of $b$ given that $4 = 8b$ . Solve for $b$ and simplify the result.

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Problem 4052

Is $r=12$ a solution to $3=r-12$ ? Yes or no?

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Problem 4053

Simplify the expression $(v^{3} z^{5})^{6}$ using the power rule and power of a product rule.

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Problem 4054

Find the simplified form of $(3+4i)^2$ in the form $a+bi$ .

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Problem 4055

Solve the equation $\left(7^{\frac{x}{5}+1}\right)=\left(7^{-\frac{19 x}{5}}\right)$ for $x$ .

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Problem 4056

Find the expression equivalent to $8x - y + 3x$ .

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Problem 4057

Find the values of $a$ and $b$ that satisfy the equation $(22)(18) = a^{2} - b^{2}$ .

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Problem 4058

Find the equation with the same solution as $-7x+2=15$ .

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Problem 4059

Solve for $x$ in the equation $9x = 27x - 2$ . Express the solution as a simplified fraction.

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Problem 4060

Find the linear regression equation for homework grade $(x)$ and test grade $(y)$ given in a table. Use the equation to predict the test grade for a student with a homework grade of $68$ .

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Problem 4061

Solve $7x-c=k$ for $x$ . A) $x=7(k+c)$ B) $x=\frac{k+c}{7}$ C) $x=7(k-c)$ D) $x=\frac{k-c}{7}$

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Problem 4062

Select all the equations where the point $(3,0)$ lies on the line. $5x+2y=15$ , $4x+6y=20$ , $2x+4y=6$ , $4x+2y=12$ .

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Problem 4063

Solve for $x$ where $|x| + 19 = 15$ . If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

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Problem 4064

Solve for $y$ in the equation $z=4x-4y$ .

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Problem 4065

Solve the linear equation $\frac{3}{2} G + 12 = 0$ for the variable $G$ .

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Problem 4066

Solve for n in the linear equation $-22.8 = 6n$ .

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Problem 4067

Simplify $7 \sqrt{15} - 4 \sqrt{60}$ by subtracting the radicals.

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Problem 4068

Find $h(r-3)$ using the function rule $h(b) = b^2 - 8$ . Simplify the result.

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Problem 4069

Simplify the expression $3m + n + 4n - m$ .

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Problem 4070

Solve the equation $-42=-2t$ .

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Problem 4071

Selecciona las ecuaciones equivalentes a $8 k=20$ , como $8 k-4=20+4$ o $8 k \div 4=20 \div 4$ .

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Problem 4072

Find the value of $x$ that satisfies the equation $28-8x = 3(52-4x)$ .

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Problem 4073

Find the real solutions of the equation $25y^2=16$ , where $y_1 < y_2$ .

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Problem 4074

Find the missing number in the sequence: $70, 61, 52, \quad, 34, 25$ .

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Problem 4075

Find the total cost of a gym membership for 12 months given the function $f(x) = 30x + 75$ , where $x$ is the number of months and $f(x)$ is the cost.

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Problem 4076

Solve for the indicated variable in the given equations: $7a-b=15a$ and $-5c+d=2c$ .

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Problem 4077

Find the result of long dividing $6x^3 + 23x^2 + 24x + 7$ by $3x + 7$ using the long division method.

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Problem 4078

Find the sum of $c^{2} + 13c + 9$ and $8c + 5$ .

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Problem 4079

Solve the linear equation $5p + 10 = 8p + 1$ for the unknown variable $p$ .

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Problem 4080

Find the value of $r$ given the equation $81=3r-6$ .

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Problem 4081

Find the quotient and remainder when dividing $-x^3 + 5x^2 - 11x + 10$ by $x - 2$ .

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Problem 4082

Solve the quadratic equation $(y+3)(y+10) = -10$ .

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Problem 4083

Evaluate the expression $0^{4}$ .

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Problem 4084

Find all values of $x$ that solve the equation $\frac{x^{2}-1}{x-1}=-2$ .

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Problem 4085

Solve $x^2 + 2x - 20 = -3$ . Solve $x^2 + 3x - 7 = x$ . Solve $6x^2 + 10x + 2 = x^2$ . Solve $3x^2 + 2x - 1 = -2x$ . Solve $x^2 + 2x - 11 = 0$ . Solve $5x^2 - 18x + 12 = 0$ .

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Problem 4086

Solve the equation $7+3(x-2)=6x$ . Check your solution.

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Problem 4087

Solve the equation $-2+2 \ln 3x=17$ for the unknown variable $x$ .

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Problem 4088

Evaluate $5x$ when $x=5$ . Simplify the result.

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Problem 4089

Solve the equation $\left(\frac{3}{2}\right)^{x}=7^{(1-x)}$ and express the irrational answer in exact form and as a decimal rounded to 3 decimal places.

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Problem 4090

Solve the equation $15^{a+7}-6=-1.7$ to find the value of $a$ .

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Problem 4091

Solve the equation using the quadratic completion method. Check your solutions: The sum of $x_{1}$ and $x_{2}$ is always 20. a) $x^{2}-20 x+84=0$

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Problem 4092

Find the simplified expression for $x + 3x + 3 + x$ .

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Problem 4093

Find $x_3$ using the iterative formula $x_{n+1} = 3x_n - 6$ with $x_1 = 5$ .

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Problem 4094

Find the value of $k(a)$ where $a$ is the zero of the function $g(x)=(x-3)^{2}$ and $k(t)=10-2(t-3)^{3}$ . a) 1 b) -6 c) -3 d) 3

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Problem 4095

Rewrite $5 \cdot 5 \cdot 20$ using commutative property and simplify. Which choice is correct?

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Problem 4096

Solve $4(4 x+3)=19 x+9-3 x+3$ . Determine if the equation has 1 solution, no solution, or infinitely many solutions.

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Problem 4097

Find the holes of the function $f(x) = \frac{x^2 + x - 2}{x^2 - 3x - 4}$ .

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Problem 4098

Tony drives 18 miles to pick up his friend, then drives at 40 mph to a state park. Let $y$ be miles driven after $x$ hours. Which are true? A. $y=40x+18$ B. If Tony travels for 1.5 hours, he will have driven 60 miles total. C. The initial value is 18 miles. D. The rate of change is negative.

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Problem 4099

Simplify the expression $-7(x-5y)$ .

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Problem 4100

Solve for x in the equation $A(x+7) = -C(x-5) + 2$ , where $A$ and $C$ are nonzero constants with $A+C \neq 0$ .

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Algebra

Problem 4001

Find the exponential form of the equation 5=log⁡b2435 = \log_b 2435=logb​243.

Problem 4002

Solve the quadratic equation (z+9)(5z−7)=18(z+9)(5z-7)=18(z+9)(5z−7)=18 and find the value of the missing term in 5z2+□−63=185z^2 + \square - 63 = 185z2+□−63=18.

Problem 4003

Solve the equation 72x+7x−12=07^{2x} + 7^x - 12 = 072x+7x−12=0 and express the solution set using logarithms.

Problem 4004

Find the value that makes the equation 7.6−?=−3257.6-?=-3 \frac{2}{5}7.6−?=−352​ true.

Problem 4005

Solve for xxx in the equation 8−x=5\sqrt{8-x}=58−x​=5.

Problem 4006

Find two binomials whose product equals 6x4−4x2+9x2−66 x^{4}-4 x^{2}+9 x^{2}-66x4−4x2+9x2−6.

Problem 4007

Solve for the variable vvv in the equation 4v=964v = 964v=96. Simplify the solution.

Problem 4008

When xxx varies directly with yyy for k>0k>0k>0, if xxx increases, yyy increases, and if xxx decreases, yyy decreases.

Problem 4009

Find the values of xxx that satisfy the quadratic equation f(x)=2x(x+9)=0f(x) = 2x(x+9) = 0f(x)=2x(x+9)=0.

Problem 4010

Find the range of values for xxx satisfying −1≤x<−6-1 \leq x < -6−1≤x<−6.

Problem 4011

Solve the equation 9(x−6)=−279(x-6)=-279(x−6)=−27 in steps, choosing the best reason for each step.

Problem 4012

Find the reflection of f(x)=x2f(x)=x^2f(x)=x2 across the xxx-axis. Express the result in the form a(x−h)2+ka(x-h)^2+ka(x−h)2+k, where aaa, hhh, and kkk are integers.

Problem 4013

Find y=abx+csin⁡(πx/2)y=ab^x+c\sin(\pi x/2)y=abx+csin(πx/2) that fits data {(x,y)}={(0,2),(1,13),(2,32),(3,123)}\{(x,y)\}=\{(0,2),(1,13),(2,32),(3,123)\}{(x,y)}={(0,2),(1,13),(2,32),(3,123)}. Determine aaa, bbb, and ccc.

Problem 4014

Bakery wants to sell 80 cupcakes at price xxx to make $132\$132$132 profit. Which equation finds xxx? (A) 80x−80x - 80x−0.60x - 100=100 = 100=132 (B) 80x+80x + 80x+0.60x + 100=100 = 100=132 (C) 80x−80x - 80x−0.60(80) - 100=100 = 100=132 (D) 80x+80x + 80x+0.60(80) + 100=100 = 100=132

Problem 4015

Solve the quadratic equation (t+7)2=9(t+7)^2 = 9(t+7)2=9 and provide the solution set.

Problem 4016

Problem 4017

Solve for ppp given 8p=−96\frac{8}{p}=-96p8​=−96.

Problem 4018

Find the solution set for the quadratic equation y(y−6)=−15y(y-6)=-15y(y−6)=−15.

Problem 4019

Solve for N in the equation 125=15.5N125 = \frac{15.5}{N}125=N15.5​, and evaluate the following expressions: 140.5140.5140.5, 109.5109.5109.5, 1937.51937.51937.5, and 0.1240.1240.124.

Problem 4020

Find the value of the variable that satisfies the equation d−(−10)+4d=0d-(-10)+4d=0d−(−10)+4d=0 from the given set {-2, 2, 5, -5}.

Problem 4021

Solve the linear equation −2=76z-2=\frac{7}{6} z−2=67​z and express the solution as an integer, simplified fraction, or decimal to two places.

Problem 4022

Calculate Jim's GPA for the semester, given the following grades and credit hours: MATH 128 (A, 5 credits), ENG 152 (B+, 4 credits), COM 210 (C-, 3 credits), HIST 151 (A-, 3 credits). Round the answer to the nearest hundredth.

Problem 4023

Write an inequality for x≤7x \leq 7x≤7.

Problem 4024

Solve the equation 2x=32^{x}=32x=3 and find the set of solutions.

Problem 4025

Solve the equation f(x)=0f(x)=0f(x)=0, the inequality f(x)<0f(x)<0f(x)<0, and the inequality f(x)>0f(x)>0f(x)>0 using the graph of y=f(x)y=f(x)y=f(x). a) The solution is the interval □\square□. b) The solution is the list of xxx-values □\square□.

Problem 4026

Find the expression with sum 14:(A)∑k=13k14: (A) \sum_{k=1}^{3} k14:(A)∑k=13​k (B) ∑k=13k2\sum_{k=1}^{3} k^{2}∑k=13​k2 (C) ∑k=137k\sum_{k=1}^{3} 7 k∑k=13​7k (D) ∑k=114k\sum_{k=1}^{14} k∑k=114​k

Problem 4027

Solve the quadratic equation 15z2−34z−16=015 z^{2} - 34 z - 16 = 015z2−34z−16=0 for real values of zzz.

Problem 4028

Problem 4029

Solve for yyy in the quadratic equation y2−8y+7=0y^{2}-8 y+7=0y2−8y+7=0. If there are multiple solutions, list them separated by commas. If no solution, select "No solution".

Problem 4030

Represent the phrase "word sentence" as an inequality. The number yyy is less than or equal to -8.

Problem 4031

Solve 4c−2w=y+14c - 2w = y + 14c−2w=y+1 for ccc and find the solution in terms of yyy and www.

Problem 4032

Solve the linear equation 6x+2=2x+466x + 2 = 2x + 466x+2=2x+46 and select the correct solution set.

Problem 4033

Find the missing value in the equation: □t+7×3(t+7)t+1=15(t+13)t+1\frac{\square}{t+7} \times \frac{3(t+7)}{t+1}=\frac{15(t+13)}{t+1}t+7□​×t+13(t+7)​=t+115(t+13)​

Problem 4034

Solve for variable ccc in the linear equation P=a+6+cP = a + 6 + cP=a+6+c.

Problem 4035

Find a formula for the sum of f(x)=x2−5f(x)=x^2-5f(x)=x2−5 and g(x)=∣x+1∣g(x)=|x+1|g(x)=∣x+1∣. Identify the domain of the sum.

Problem 4036

What annual percent change does the model y=0.75(1.25)xy=0.75(1.25)^{x}y=0.75(1.25)x represent? a) 125%125\%125% increase, b) 25%25\%25% decrease, c) 75%75\%75% decrease, d) 25%25\%25% increase.

Problem 4037

Identify the inverse of "Subtract 4 from xxx and multiply by 2". Represent the statement and inverse symbolically.

Problem 4038

Analyze the quadratic function F(x)=x2−12x−25F(x)=x^2-12x-25F(x)=x2−12x−25 and its properties.

Problem 4039

Simplify the expression 2log⁡9(3)−4log⁡9(3)+log⁡9(1729)2 \log _{9}(3)-4 \log _{9}(3)+\log _{9}\left(\frac{1}{729}\right)2log9​(3)−4log9​(3)+log9​(7291​).

Problem 4040

Solve for mmm in the equation m(m−2)=35m(m-2)=35m(m−2)=35.

Problem 4041

Find the exponential form of the equation $5 = \log_b 243$ .

Solve the quadratic equation $(z+9)(5z-7)=18$ and find the value of the missing term in $5z^2 + \square - 63 = 18$ .

Solve the equation $7^{2x} + 7^x - 12 = 0$ and express the solution set using logarithms.

Find the value that makes the equation $7.6-?=-3 \frac{2}{5}$ true.

Solve for $x$ in the equation $\sqrt{8-x}=5$ .

Find two binomials whose product equals $6 x^{4}-4 x^{2}+9 x^{2}-6$ .

Solve for the variable $v$ in the equation $4v = 96$ . Simplify the solution.

When $x$ varies directly with $y$ for $k>0$ , if $x$ increases, $y$ increases, and if $x$ decreases, $y$ decreases.

Find the values of $x$ that satisfy the quadratic equation $f(x) = 2x(x+9) = 0$ .

Find the range of values for $x$ satisfying $-1 \leq x < -6$ .

Solve the equation $9(x-6)=-27$ in steps, choosing the best reason for each step.

Find the reflection of $f(x)=x^2$ across the $x$ -axis. Express the result in the form $a(x-h)^2+k$ , where $a$ , $h$ , and $k$ are integers.

Find $y=ab^x+c\sin(\pi x/2)$ that fits data $\{(x,y)\}=\{(0,2),(1,13),(2,32),(3,123)\}$ . Determine $a$ , $b$ , and $c$ .

Bakery wants to sell 80 cupcakes at price $x$ to make $\$132$ profit. Which equation finds $x$ ? (A) $80x -$ 0.60x - $100 =$ 132 (B) $80x +$ 0.60x + $100 =$ 132 (C) $80x -$ 0.60(80) - $100 =$ 132 (D) $80x +$ 0.60(80) + $100 =$ 132

Solve the quadratic equation $(t+7)^2 = 9$ and provide the solution set.

Solve for $p$ given $\frac{8}{p}=-96$ .

Find the solution set for the quadratic equation $y(y-6)=-15$ .

Solve for N in the equation $125 = \frac{15.5}{N}$ , and evaluate the following expressions: $140.5$ , $109.5$ , $1937.5$ , and $0.124$ .

Find the value of the variable that satisfies the equation $d-(-10)+4d=0$ from the given set {-2, 2, 5, -5}.

Solve the linear equation $-2=\frac{7}{6} z$ and express the solution as an integer, simplified fraction, or decimal to two places.

Write an inequality for $x \leq 7$ .

Solve the equation $2^{x}=3$ and find the set of solutions.

Solve the equation $f(x)=0$ , the inequality $f(x)<0$ , and the inequality $f(x)>0$ using the graph of $y=f(x)$ .
a) The solution is the interval $\square$ . b) The solution is the list of $x$ -values $\square$ .

Find the expression with sum $14: (A) \sum_{k=1}^{3} k$ (B) $\sum_{k=1}^{3} k^{2}$ (C) $\sum_{k=1}^{3} 7 k$ (D) $\sum_{k=1}^{14} k$

Solve the quadratic equation $15 z^{2} - 34 z - 16 = 0$ for real values of $z$ .

Solve for $y$ in the quadratic equation $y^{2}-8 y+7=0$ . If there are multiple solutions, list them separated by commas. If no solution, select "No solution".

Represent the phrase "word sentence" as an inequality. The number $y$ is less than or equal to -8.

Solve $4c - 2w = y + 1$ for $c$ and find the solution in terms of $y$ and $w$ .

Solve the linear equation $6x + 2 = 2x + 46$ and select the correct solution set.

Find the missing value in the equation: $\frac{\square}{t+7} \times \frac{3(t+7)}{t+1}=\frac{15(t+13)}{t+1}$

Solve for variable $c$ in the linear equation $P = a + 6 + c$ .

Find a formula for the sum of $f(x)=x^2-5$ and $g(x)=|x+1|$ . Identify the domain of the sum.

What annual percent change does the model $y=0.75(1.25)^{x}$ represent? a) $125\%$ increase, b) $25\%$ decrease, c) $75\%$ decrease, d) $25\%$ increase.

Identify the inverse of "Subtract 4 from $x$ and multiply by 2". Represent the statement and inverse symbolically.

Analyze the quadratic function $F(x)=x^2-12x-25$ and its properties.

Simplify the expression $2 \log _{9}(3)-4 \log _{9}(3)+\log _{9}\left(\frac{1}{729}\right)$ .

Solve for $m$ in the equation $m(m-2)=35$ .

Find the value of $x_{3}$ using the iterative formula $x_{n+1}=5-\frac{2}{x_{n}}$ with $x_{1}=8$ , rounded to 3 d.p.

Find the value of $x$ that satisfies the equation $20=5:10$ .

Solve for positive variable $a$ in the equation $(a-5b) = 6ac + 3d$ .

Identify the line with an error in the equation $6x-2(x-5)=22$ .

Solve the inequality $\frac{x+3}{8}-\frac{x+5}{5} \geq \frac{3}{10}$ for the value of $x$ .

Solve the system of simultaneous equations $x-9y=10$ and $3y^2=4x+7$ , then show that $3y^2-36y-47=0$ .

Isolate variable $t$ in the equation $d=rt$ by dividing both sides by $r$ . True or false?

Using synthetic division, find the factored form of $x^{4}+6 x^{3}+33 x^{2}+150 x+200$ .

Find the discriminant of $x^2 - x + 6 = 0$ and describe its solutions.

Find the value of $b$ given that $4 = 8b$ . Solve for $b$ and simplify the result.

Is $r=12$ a solution to $3=r-12$ ? Yes or no?

Simplify the expression $(v^{3} z^{5})^{6}$ using the power rule and power of a product rule.

Find the simplified form of $(3+4i)^2$ in the form $a+bi$ .

Solve the equation $\left(7^{\frac{x}{5}+1}\right)=\left(7^{-\frac{19 x}{5}}\right)$ for $x$ .

Find the expression equivalent to $8x - y + 3x$ .

Find the values of $a$ and $b$ that satisfy the equation $(22)(18) = a^{2} - b^{2}$ .

Find the equation with the same solution as $-7x+2=15$ .

Solve for $x$ in the equation $9x = 27x - 2$ . Express the solution as a simplified fraction.

Find the linear regression equation for homework grade $(x)$ and test grade $(y)$ given in a table. Use the equation to predict the test grade for a student with a homework grade of $68$ .

Solve $7x-c=k$ for $x$ . A) $x=7(k+c)$ B) $x=\frac{k+c}{7}$ C) $x=7(k-c)$ D) $x=\frac{k-c}{7}$

Select all the equations where the point $(3,0)$ lies on the line. $5x+2y=15$ , $4x+6y=20$ , $2x+4y=6$ , $4x+2y=12$ .

Solve for $x$ where $|x| + 19 = 15$ . If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Solve for $y$ in the equation $z=4x-4y$ .

Solve the linear equation $\frac{3}{2} G + 12 = 0$ for the variable $G$ .

Solve for n in the linear equation $-22.8 = 6n$ .

Simplify $7 \sqrt{15} - 4 \sqrt{60}$ by subtracting the radicals.

Find $h(r-3)$ using the function rule $h(b) = b^2 - 8$ . Simplify the result.

Simplify the expression $3m + n + 4n - m$ .

Solve the equation $-42=-2t$ .

Selecciona las ecuaciones equivalentes a $8 k=20$ , como $8 k-4=20+4$ o $8 k \div 4=20 \div 4$ .

Find the value of $x$ that satisfies the equation $28-8x = 3(52-4x)$ .

Find the real solutions of the equation $25y^2=16$ , where $y_1 < y_2$ .

Find the missing number in the sequence: $70, 61, 52, \quad, 34, 25$ .