#1
Solve for x: 3x + 5 = 17
x = 6
ExplanationCombine like terms and isolate x.
#2
Which of the following is the additive inverse of -6?
6
ExplanationAdditive inverses sum to zero.
#3
Factorize the expression: x^2 - 4
(x + 2)(x - 2)
ExplanationDifference of squares factoring.
#4
Solve the equation for x: 2(x - 3) = 5(x + 1)
x = -5
ExplanationDistribute and solve the linear equation.
#5
Expand the expression: (2x - 3)(x + 4)
2x^2 - 5x - 12
ExplanationApply the distributive property and simplify.
#6
Simplify the expression: 3(2x + 5) - 2(3x - 1)
12x + 13
ExplanationDistribute and combine like terms.
#7
Solve for x: 4x + 7 = 3(x - 2)
x = 3
ExplanationIsolate x by simplifying and solving.
#8
Which of the following is equivalent to 3x - 2 + 5x?
8x - 2
ExplanationCombine like terms.
#9
Solve for x: 2(x + 1) = 3(2x - 1)
x = 1
ExplanationSimplify and solve the linear equation.
#10
Which of the following is equivalent to 2x - (3x + 1)?
-x - 1
ExplanationCombine like terms and simplify.
#11
Solve for x: 5x - 3 = 2x + 7
x = 2
ExplanationIsolate x by simplifying and solving.
#12
Which of the following is equivalent to -2(3x - 4)?
-6x - 8
ExplanationApply the distributive property and simplify.
#13
Which of the following is a solution to the equation: 2x^2 - 5x - 3 = 0?
x = -1, x = 3/2
ExplanationUse the quadratic formula or factorization.
#14
Find the value of x: 2(3x - 1) = 3(2x + 5)
x = 11/5
ExplanationSolve a linear equation with variable terms.
#15
Solve for x: (x + 3)(x - 4) = 0
x = -3, x = 4
ExplanationApply the zero-product property.
#16
If 2x + 3y = 11 and x - 2y = -5, find the value of x + y.
4
ExplanationSolve a system of linear equations and find the sum.
#17
Find the value of x: 3(x + 2) = 4(2x - 1)
x = 5
ExplanationSolve a linear equation with distribution and simplification.
#18
Solve the equation for x: (x - 2)(x + 3) = 0
x = -3, x = 2
ExplanationApply the zero-product property to find solutions.
#19
If 2x + 5y = 17 and 3x - 4y = 8, find the value of x - y.
4
ExplanationSolve a system of linear equations and find the difference.
#20
Find the value of x: 4(x - 2) = 3(3x + 1)
x = -1
ExplanationSolve a linear equation involving distribution and simplification.
#21
Solve the equation for x: (x + 4)(x - 2) = 0
x = -4, x = 2
ExplanationUse the zero-product property to find solutions.
#22
If 3x + 2y = 14 and 2x - 5y = -1, find the value of x + y.
9
ExplanationSolve a system of linear equations and find the sum.
#23
Find the value of x: 2(x + 3) = 3(2x - 1)
x = 2
ExplanationSolve a linear equation involving distribution and simplification.
#24
Solve the equation for x: (x - 3)(x + 5) = 0
x = 3, x = -5
ExplanationUse the zero-product property to find solutions.
#25
If 4x + 3y = 15 and 2x - y = 7, find the value of 2x - 2y.
3
ExplanationSolve a system of linear equations and find the specified expression.