#1
Simplify the expression: 3x + 2y - 5x + 4y
-2x + 6y
ExplanationCombine like terms
#2
If 2x + 5 = 13, what is the value of x?
3
ExplanationSimple algebraic equation solving
#3
Factorize the expression: x^2 - 9
(x - 3)(x + 3)
ExplanationDifference of squares
#4
Solve the equation: 2(x - 3) = 4
x = 3
ExplanationSolve for variable
#5
If 3x - 7 = 11, what is the value of x?
6
ExplanationSimple algebraic equation solving
#6
Simplify the expression: 2(x + 4) - 3(2x - 5)
-4x - 13
ExplanationDistribute and combine like terms
#7
Solve the inequality: 2x + 7 < 15
x < 4
ExplanationSimple algebraic inequality solving
#8
If 5(x - 2) = 3(2x + 1), what is the value of x?
4
ExplanationSimple algebraic equation solving
#9
Expand and simplify: (3a - 2b)^2
9a^2 - 6ab + 4b^2
ExplanationUse binomial expansion formula
#10
Factorize the quadratic expression: 4x^2 - 16
4(x - 2)(x + 2)
ExplanationFactor out common terms
#11
Find the value of a if 2(a - 1) = 3a + 5
-6
ExplanationSolve for variable
#12
Simplify the expression: (2x^2 - 3xy + 4) + (5x^2 + 2xy - 1)
7x^2 - xy + 3
ExplanationCombine like terms
#13
Factorize the quadratic expression: 9x^2 - 16y^2
(3x - 4y)(3x + 4y)
ExplanationDifference of squares
#14
Solve the system of equations:
2x + 3y = 7
4x - 2y = 6
x = 2, y = 1
ExplanationUse substitution or elimination method