Solve for x in the linear equation: 5x - 7 = 18.
Algebra Expressions Equations
Question · Easy
Flip it: the negative swing
Short
Solve for x: 3(x + 4) = 27.
Solve for x: 4x + 9 = 2x + 17.
Solve the linear inequality: 2x - 5 > 7.
Solve the linear inequality: 7 - 3x ≤ 1.
The carpenter's square-corner trick
Rearrange the literal equation y = mx + b to solve for x.
Evaluate the algebraic expression 3a² - 2b when a = 4 and b = 5.
Solve the system of linear equations: y = 2x and x + y = 12.
Simplify the sum of polynomials: (4x² - 3x + 5) + (2x² + 7x - 1).
Slope: up or down? Pick fast
Solve for x: 2(3x - 4) - 5(x + 1) = 3.
Question · Medium
Solve the compound inequality: -4 < 2x + 2 ≤ 10.
Solve the system of equations by elimination: 3x + 2y = 16 and 5x - 2y = 8.
Solve the system of linear equations using substitution: 2x + y = 9 and x - 3y = -6.
Find x
Solve the trapezoid area formula A = (1/2)h(b1 + b2) for the base b1.
A theater sold 150 tickets for a total of $1,440. Adult tickets cost $12 each and child tickets cost $8 each. How many adult tickets were sold?
Solve the linear equation with rational expressions: (x - 1) / 3 + (x + 2) / 4 = 6.
Rearrange the temperature conversion formula C = (5/9)(F - 32) to isolate F.
Solve the inequality: -3(2x - 4) ≥ 18.
Solve the system of equations: 4x - 3y = 11 and 2x + 5y = 25.
Expand and simplify the product of binomials: (3x - 4)(2x + 5).
Solve the cylinder volume formula V = π r² h for the radius r (where r > 0).
Determine the number of solutions to the system: 2x - 3y = 6 and 4x - 6y = 18.
A car rental company charges a flat fee of $35 plus $0.20 per mile driven. If a customer's total rental bill was $79, how many miles were driven?
Solve the compound inequality: x + 3 < 1 or 2x - 1 ≥ 7.
Solve the system of three equations: 3x - 4y + z = 8, 2x + y = 7, and x = 2.
Question · Hard
Solve the infinite geometric series sum formula S = a / (1 - r) for the common ratio r.
A 20-liter solution is 30% pure acid. How many liters of pure acid must be added to produce a solution that is 44% acid?
Determine whether the point (1, 2) satisfies the system of linear inequalities: y ≥ 2x - 3 and y < -x + 4.
Solve the rational equation: 2 / (x - 1) + 3 / (x + 1) = 5 / (x² - 1).
For two linear equations Ax + By = C and Dx + Ey = F, if AE - BD = 0 and AF - CD ≠ 0, what is the geometric relationship between the lines?
Given the linear function f(x) = 4x - 7, evaluate f(3).
Linear Exponential Functions
Find the slope of the line passing through the points (1, 3) and (4, 12).
Write the equation of a line in slope-intercept form with slope 2 and y-intercept -5.
An initial population of 100 bacteria doubles every hour. Which exponential equation models the population P(t) after t hours?
Find the common difference of the arithmetic sequence: 5, 9, 13, 17, ...
Find the common ratio of the geometric sequence: 3, 6, 12, 24, ...
Which of the following real-world scenarios describes linear growth?
What is the domain of the linear function f(x) = 3x + 2 defined for all real numbers?
Given the exponential function g(x) = 3^x, evaluate g(4).
Write an equation in point-slope form for the line passing through (3, 7) with slope -2.
Convert the point-slope equation y - 4 = 3(x + 2) into slope-intercept form.
A vehicle purchased for $24,000 depreciates by 15% per year. Which exponential decay function models its value V(t) after t years?
Find the 15th term of the arithmetic sequence with first term a1 = 7 and common difference d = 4.
Find the 6th term of the geometric sequence with first term a1 = 5 and common ratio r = 3.
Loading more…