Ace Algebra 1 with our Extensive Collection of Math Problems

Dale is going to rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Dale need to drive for the two plans to cost the same?

ashes86047xhz 2022-03-25

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $25 monthly fee and charges an additional $0.09 for each minute of calls.
For how many minutes of calls will the costs of the two plans be equal?

Guadalupe Glass 2022-03-25

How do I compute the minimum or maximum LINE of a bivariate quadratic function?
$y = g (x, w) = a x^{2} + b x w + c w^{2} + d x + e w + f$

Javion Kerr 2022-03-25

How could I find x in this equation
$x^{2} - x + 6 \equiv 0 (\mod 9)$

Leroy Davidson 2022-03-25

How can you deduce a cubic polynomial given two quadratic divisors, their respective remainders, and nothing else?
A cubic polynomial gives the remainders $(5 x + 4)$ and $(12 x - 1)$ when divided by $(x^{2} - x + 2)$ and $(x^{2} + x - 1)$ respectively.
How can I find the polynomial from this set of information?

Blackettyl2j 2022-03-25

Goran invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 2% profit.
How much did he invest in Fund B, if both funds together returned a 3% profit?

Amya Horn 2022-03-25

Given the following quadratic equation:
$f (x) = x^{2} - 3 x - 1$
For $x, 1 \leq x \leq 100, x \equiv 1 mod 2$
Is this true for all $x \in ℤ$ ? If so, is there a way to prove it?

aidinacol7 2022-03-25

Given quadratic equation:
$7 x^{2} - (k + 13) x + k^{2} - k - 2 = 0$ , where k is a constant, has two distinct real roots $α and β$ . Given that $0 < α < 1$ and $1 < β < 2$ , find the range of values of k.

peggyleuwpodg 2022-03-25

Given $x^{2} - 3 x + 6 = 0$ find $x^{4}$ in terms of x.

Leroy Davidson 2022-03-25

Given a quadratic equation, find values of a such that the equation will have four different solutions.
$2 a {(x + 1)}^{2} - | x + 1 | + 1 = 0$

Jazmyn Holden 2022-03-25

Given a quadratic equation, find a value of a such that the quadratic equation would have one root less than -1 and another greater than 1.

Adolfo Hebert 2022-03-25

Given a complex number $ω = \cos (\frac{2 π}{5}) + i \sin (\frac{2 π}{5})$

Write a recursive rule for the sequence.
7, 3, 4,−1, 5, ...

Samara Richard 2022-03-24

How can one solve this without expanding.
$\begin{array}{l} If a + b + c = 1, a b + b c + c a = 2 \end{array}$
$\begin{array}{l} and a b c = 3 . What is the value \end{array}$
$of a^{4} + b^{4} + c^{4} ?$

Coradossi7xod 2022-03-24

How can we make it easy to solve quadratics without the Quadratic Formula?
For example,
$5 x^{2} - 7 x - 2 = 0$
Then, we only need to find is when
$5 x^{2} - 7 x = 2$
$x (5 x - 7) = 2$
Since that when we get $2 - 2 = 0$ .
Is there any way we can find them easily without solving quadratics using formula?

Pablo Dennis 2022-03-24

How can I prove that
$\sum_{i = 1}^{n} a_{n} \cdot \exp (q_{n} (x)) = 0$
cannot have more than two roots?

amonitas3zeb 2022-03-24

Help to solve this, please
$\frac{1}{3} x + \frac{2}{5} > \frac{5}{6} x - 1$

amonitas3zeb 2022-03-24

Given that $x^{2} + a x + b > 0$ and $x^{2} + (a + n p) x + (b + n q) > 0$ prove that $x^{2} + (a + \mp) x + (b + m q) > 0, m = \overset{―}{1, n - 1}$

Petrolovujhm 2022-03-24

Given that
$a + b = c + d = 10$ and $| a - b | > | c - d |$ , show that $a b < c d$

ezpimpin6988ok1n 2022-03-24

Given that $α, β$ are the roots of $x^{2} + b x + c = 0$ and $γ, δ$ are the roots of $x^{2} + b_{1} x + c_{1} = 0$ such that
$γ < α < δ < β$

When you are a high school student or someone already enrolled in college, even those simple research projects will include Algebra 1 equations, which means that getting some help cannot be avoided. Thankfully, you can access Algebra 1 problems and answers free of charge, which will let you see what Algebra 1 practice problems can be used for certain questions. Just remember to check calculations twice as these can easily get complex. The majority of Algebra 1 answers will be familiar to most students dealing with financial concepts as it is not related to advanced Math problems in most scenarios.

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