AlgebraLinear equations★☆☆☆☆Easy+20 XP
Solve for x: 4x − 9 = 23.
All paths
Algebra
Equations, sequences, clever factoring.
AlgebraLinear equations★☆☆☆☆Easy+20 XP
Solve for x: 5(x − 3) = 2x + 9.
AlgebraLinear equations★★☆☆☆Medium+30 XP
Two numbers are in the ratio 3 : 5 and their sum is 64. What is the larger number?
AlgebraLinear equations★★☆☆☆Medium+30 XP
A number increased by 25% becomes 75. What was the original number?
AlgebraSystems★★☆☆☆Medium+30 XP
If x + y = 14 and x − y = 4, what is x?
AlgebraSequences★★☆☆☆Medium+30 XP
An arithmetic sequence begins 7, 11, 15, … . What is the 20th term?
AlgebraPolynomials★★☆☆☆Medium+30 XP
Simplify (2⁵ · 2³) / 2⁴ and give the numerical value.
AlgebraFactoring★★☆☆☆Medium+30 XP
What is the larger solution of x² − 9x + 20 = 0?
AlgebraSystems★★★☆☆Hard+40 XP
If 2x + 3y = 16 and x = y + 3, what is xy?
AlgebraPolynomials★★★☆☆Hard+40 XP
What is the minimum value of x² − 6x + 11?
AlgebraLinear equations★★☆☆☆Medium+30 XP
If f(x) = 2x + 3, what is f(f(1))?
AlgebraFactoring★★★☆☆Hard+40 XP
Positive integers x and y satisfy x² − y² = 40 and x − y = 4. What is x?
AlgebraSequences★★★☆☆Hard+40 XP
A geometric sequence begins 3, 6, 12, … . What is the 8th term?
AlgebraPolynomials★★★☆☆Hard+40 XP
The roots of 2x² − 8x + 6 = 0 are r and s. What is r² + s²?
AlgebraPolynomials★★★☆☆Hard+40 XP
Evaluate log₂64 + log₃27.
AlgebraLinear equations★★★☆☆Hard+40 XP
What is the sum of all solutions of |2x − 5| = 9?
AlgebraSequences★★★☆☆Hard+40 XP
What is the sum of the first 30 positive even integers?
AlgebraFactoring★★★☆☆Hard+40 XP
If x + 1/x = 4, what is x² + 1/x²?
AlgebraSequences★★★☆☆Hard+40 XP
Find the sum of the infinite geometric series 8 + 4 + 2 + 1 + … .
AlgebraFactoring★★★★☆Expert+55 XP
If x = 2 + √3, what is x + 1/x?