#1
What is the solution to the equation 2x + 5 = 15?
x = 7
ExplanationSubtract 5 from both sides, then divide by 2.
#2
Which property of equality justifies the step: subtracting 3 from both sides of the equation?
Subtraction Property
ExplanationAllows subtraction of the same value from both sides.
#3
What is the solution to the equation 4(x - 3) = 16?
x = 8
ExplanationDistribute 4, then isolate and solve for x.
#4
Which property of equality justifies the step: multiplying both sides of the equation by 2?
Multiplication Property
ExplanationAllows multiplication of both sides by the same value.
#5
What is the solution to the equation 3(x + 2) = 21?
x = 7
ExplanationDistribute 3, then isolate and solve for x.
#6
Which property of equality justifies the step: dividing both sides of the equation by 3?
Division Property
ExplanationAllows division of both sides by the same value.
#7
What is the solution to the expression 3(2x - 4) = 15?
x = 3
ExplanationDistribute 3, isolate x, then solve.
#8
What is the value of x in the equation (3x + 2)/5 = 4?
x = 12
ExplanationMultiply both sides by 5, then solve.
#9
What is the solution to the expression 2(3x + 1) = 14?
x = 3
ExplanationDistribute 2, then isolate and solve for x.
#10
What is the value of x in the equation (2x - 1)/3 = 7?
x = 16
ExplanationMultiply both sides by 3, then solve.
#11
What is the solution to the expression 4(2x - 3) = 32?
x = 6
ExplanationDistribute 4, then isolate and solve for x.
#12
What is the value of x in the equation (4x + 5)/2 = 9?
x = 8
ExplanationMultiply both sides by 2, then solve.
#13
Which method can be used to solve the equation 2x + 7 = 5x - 3?
Elimination Method
ExplanationSubtract one equation from the other to eliminate a variable.
#14
Which method can be used to solve the equation 3x + 2y = 10 and 2x - 3y = 5 simultaneously?
Elimination Method
ExplanationEliminate one variable by adding or subtracting equations.
#15
Which method can be used to solve the equation 2x + 3y = 12 and 3x - 2y = 8 simultaneously?
Elimination Method
ExplanationCombine equations to eliminate one variable.
#16
Which method can be used to solve the equation 3x + 2y = 14 and 2x - 3y = 4 simultaneously?
Elimination Method
ExplanationEliminate one variable by combining equations.
#17
Which method can be used to solve the equation 2x + 5y = 20 and 3x - 4y = 10 simultaneously?
Elimination Method
ExplanationCombine equations to eliminate one variable.