Simplify the expression $(3x^4 y^2)(5x^3 y^6)$ for all real values of $x$ and $y$.
Quantities And Structure
Question · Easy
Slope: up or down? Pick fast
Short
Evaluate the algebraic expression $4x - 7$ when $x = 5$.
Find the sum of the polynomials $(4x^2 - 3x + 5) + (2x^2 + 7x - 1)$.
Polynomials And Quadratics
Solve the linear equation for $x$: $3x + 8 = 29$.
Linear Equations Inequalities
What is the slope of the line passing through the points $(2, 5)$ and $(6, 17)$?
Factor it
Identify the y-intercept of the line given by the equation $y = -2x + 9$.
What is the domain of the relation defined by the ordered pairs ${(1, 4), (3, 8), (5, 12), (7, 16)}$?
Functions And Modeling
Find the range of the function $f(x) = x^2 + 3$ for the given domain ${-2, 0, 3}$.
Factor the difference of squares expression completely: $x^2 - 49$.
Stats test: find the median
Multiply the binomials $(x + 4)(x + 6)$ and write the product in standard form.
Solve the quadratic equation by factoring: $x^2 - 9x + 20 = 0$.
Determine the equation for the axis of symmetry of the parabola $y = x^2 - 6x + 8$.
Calculate the mean of the data set: $12, 15, 18, 21, 24$.
Data Analysis And Statistics
Find the median of the ordered data set: $4, 7, 9, 12, 15, 18, 22$.
Simplify the quotient expression: $\frac{18a^8 b^5}{3a^3 b^2}$.
Solve the linear inequality for $x$: $2x - 5 > 9$.
Convert 3 hours into minutes using dimensional analysis.
Evaluate the quadratic function $g(x) = 3x^2 - 2x + 1$ at $x = -2$.
What is the degree of the polynomial expression $5x^4 - 3x^2 + 7x - 12$?
Factor out the greatest common factor (GCF) from the expression $6x^3 + 15x^2$.
Solve the system of linear equations by substitution: $y = 2x + 1$ and $x + y = 10$.
Simplify the radical expression $\\sqrt{72}$ completely.
A bacterial culture starts with 500 cells and doubles every hour. How many cells are present after 3 hours?
Find the x-intercept of the line given by the linear equation $3x - 4y = 12$.
Write the slope-intercept form equation of a line with slope $m = -4$ and y-intercept $(0, 5)$.
Subtract the polynomials: $(5x^2 + 3x - 2) - (2x^2 - 4x + 6)$.
Determine the vertex of the quadratic function in vertex form: $y = (x - 4)^2 + 7$.
Calculate the interquartile range (IQR) of a data set with first quartile $Q_1 = 15$ and third quartile $Q_3 = 38$.
Solve the linear equation with a fractional coefficient: $\frac{2}{3}x = 14$.
Convert the line $y = -\frac{3}{4}x + 2$ into standard linear form $Ax + By = C$ with integer coefficients where $A > 0$.
Solve the multi-step linear equation for $x$: $4(2x - 3) - 3(x + 5) = 12$.
Question · Medium
Solve the absolute value equation for all valid values of $x$: $|2x - 7| = 13$.
Solve the system of linear equations using elimination: $3x + 2y = 16$ and $5x - 2y = 8$.
Solve the linear inequality for $x$: $-4x + 9 \\le -11$.
Solve the compound linear inequality: $-3 \\le 2x + 1 < 9$.
Rearrange the trapezoid area formula $A = \frac{1}{2}h(b_1 + b_2)$ to solve for base $b_1$.
A rental car company charges a flat rate of $\$35$ plus $\$0.20$ per mile driven. If a customer's total bill is $\$75$, how many miles $m$ were driven?
Find the slope-intercept equation of the line passing through $(6, 2)$ that is perpendicular to $y = 3x - 4$.
Find the equation of a line passing through $(5, -1)$ that is parallel to the line $2x + 5y = 10$.
Describe the graph transformations applied to parent function $f(x) = x^2$ to produce $g(x) = (x + 3)^2 - 5$.
A vehicle depreciates according to the function $V(t) = 24000(0.85)^t$, where $t$ is time in years. What is its value after 2 years?
An arithmetic sequence has first term $a_1 = 7$ and common difference $d = 4$. Find the 15th term $a_{15}$.
A geometric sequence has first term $g_1 = 5$ and common ratio $r = 3$. Determine the 6th term $g_6$.
Determine the domain of the real-valued function $f(x) = \\sqrt{3x - 12}$.
Find the range of the quadratic function $f(x) = -2(x - 1)^2 + 8$.
Loading more…