Ace Algebra 1 with our Extensive Collection of Math Problems

Max worked 44 hours last week. His regular hourly rate is $8.00 an hour. What was his gross pay( with regular pay and overtime)

maxime99bl6 2022-03-18

Algebraic and Trigonometric expression is $> 0$ for all real x
$2 x^{2} \sin x + 2 x \cos x + 2 x^{2} + 1$

fun9vk 2022-03-18

a) Consider the following functional relation, f, defined as:
$f : R \to R, f (x) = x^{2}$
Determine whether or not fis a bijection. If it is, prove it. If it is not, show why it is not
b) Consider the set
$F = {y ∣ y = a x^{3} + b}$
a, b being constants such that $a \neq 0$ and $x \in R$ .
Is $F = R$ ? If so, prove it. If not, explain in details why it is not the case.

Gustavo Shepard 2022-03-18

a) $8 - 6 n = - 64$
b) $10 (x - 5) \geq - 10$
c) $- 5 = 1 - 8 n + 5 n$

Tianna Costa 2022-03-18

Complex number equation $x^{2} + x + (1 - i) = 0$ is there any easy way to solve the following equation: $x^{2} + x + (1 - i) = 0$

meiprate81w 2022-03-18

Comparing 2 infinite continued fractions
$A = 1 + d \frac{1}{1 + \frac{1}{1 + \frac{1}{⋱}}}$
$B = 2 + d \frac{1}{2 + \frac{1}{2 + \frac{1}{⋱}}}$
Given the two infinite continued fractions A and B above, which is larger, 2A or B?

izolovanuyj5 2022-03-18

Choose the right answer: "Logical operator any is used in MATLAB for what operation":
(a)True if all element are zero;
(b)True if any element is non-zero;
(c)True if all element is non-zero;
(d)True if any element is zero.

kinkonillohup 2022-03-18

Cannot solve quadratic equation through product sum product when the the first product is fraction
$\frac{16}{3} x^{2} - 2 x - 45 = 0$

Sanaa Roman 2022-03-18

Can we say something about roots of quadatric equation whose coefficient consists of terms that tend to 0?
I am particularly interested in discussing the solution of $ϵ_{1} x^{2} + (ϵ_{2} + a) x + (ϵ_{3} + b) = 0$ where $a > 0, b > 0$ are constants and $ϵ_{1}, ϵ_{2}, ϵ_{3} \to 0$ . Looking at the equation , I can think that one solution is $- \frac{b}{a}$ and other solution must tend to $\infty$ (similar things happen for $ϵ x^{2} + a x + b = 0$ ). But, how can i prove this mathematically?

Rubi Reid 2022-03-18

Can any number of the form $4 k + 2$ be written as $a^{2} + b^{2} - c^{2} - d^{2}$ ?

Sanaa Roman 2022-03-18

Can a quadratic equation not equal to zero
Well I wanted to know whether or not $y = x^{2} + x + 7$ is a quadratic equation since the general form is $a x^{2} + b x + c = 0$ here the equation $y = x^{2} + x + 7$ .

Ella Maddox 2022-03-18

Calculate the Z transform of the sequences
1) ${(- \frac{1}{5})}^{k}$
2) $(\cos k π)$
3) $3 k$

Shayla Massey 2022-03-18

Boy is choosing between two exercise routines:
In Routine 1, he burns 30 calories walking. He then runs at a rate that burns 11.75 calories per minute.
In Routine 2, he does only running, burning 15.5 calories per minute.
For what amounts of time spent running will Routine 1 burn more calories than Routine 2? Use t for the number of minutes spent running, and solve for t.

Thaddeus Nolan 2022-03-18

Attempting to factor $(x^{2}) + 5 x = 0$ via the grouping method.

Cole Gardner 2022-03-17

As the title suggests, is there an easy way to see that $(x^{2} + 5 x + 4) (x^{2} + 5 x + 6) - 48 = (x^{2} + 5 x + 12) (x^{2} + 5 x - 2)$ that doesn't require expanding in full? Is there a trick?

Jordan Chavez 2022-03-17

An Interesting Number Theory Problem: Solve $2520 = {(x + y + x y)}^{2} + 2 x y + 2 y - 3 x, x, y \in Z$

Paityn Nielsen 2022-03-17

An inequality involving real numbers
Let x, y, z be real numbers such that $x y z = - 1$ . Prove that
$\sqrt[\frac{3}{2}]{\frac{3}{2}} \geq E : = \frac{4 (x^{3} + y^{3} + z^{3})}{(x^{2} + y^{2} + z^{2})^{2}}$

ilybabeilyl85 2022-03-17

Am I doing Vieta's Formulas correctly?
I've been given this exercise: $x^{2} - (m + 3) x + m + 2$ , I'm supposed to check for which real values of the parameter m can be used for this to work:
$\frac{1}{x_{1}} + \frac{1}{x_{2}} > \frac{1}{2}$ (I multiply both sides by 2x1x2) and get the following:
$2 (x_{1} + x_{2}) - x_{1} x_{2} > 0$
which results to $m ≻ 4$ using Vieta's formulas
Afterwards I have another argument, $x_{1}^{2} + x_{2}^{2} < 5$
After solving I get that m is in the interval $(- 4, 0)$
My book tells me the final result for possible M solutions is in the interval $(- 2, 0)$ .

Steven Pugh 2022-03-17

Absolute values and Quadratic
The difference of the roots of the quadratic equation $x^{2} + b x + c = 0$ is $| b - 2 c |$ . If $c \neq 0$ , then find c in terms of b.

CavioveLori659 2022-03-17

Cite 5 real-life situations in the community that represents linear equations and inequalities in two variables

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.

Algebra I

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