Solving Linear Equations and Expressions Quiz

Test your algebra skills with this quiz on solving linear equations and expressions. Questions cover properties of equality, methods for solving simultaneous equations, and finding variable values.

#1

What is the solution to the equation 2x + 5 = 15?

x = 5
x = 7
x = 10
x = 25
#2

Which property of equality justifies the step: subtracting 3 from both sides of the equation?

Reflexive Property
Symmetric Property
Addition Property
Subtraction Property
#3

What is the solution to the equation 4(x - 3) = 16?

x = 5
x = 6
x = 7
x = 8
#4

Which property of equality justifies the step: multiplying both sides of the equation by 2?

Reflexive Property
Symmetric Property
Multiplication Property
Addition Property
#5

What is the solution to the equation 3(x + 2) = 21?

x = 5
x = 6
x = 7
x = 8
#6

Which property of equality justifies the step: dividing both sides of the equation by 3?

Reflexive Property
Symmetric Property
Multiplication Property
Division Property
#7

What is the solution to the expression 3(2x - 4) = 15?

x = 3
x = 4
x = 5
x = 6
#8

What is the value of x in the equation (3x + 2)/5 = 4?

x = 6
x = 10
x = 12
x = 14
#9

What is the solution to the expression 2(3x + 1) = 14?

x = 2
x = 3
x = 4
x = 5
#10

What is the value of x in the equation (2x - 1)/3 = 7?

x = 12
x = 14
x = 16
x = 18
#11

What is the solution to the expression 4(2x - 3) = 32?

x = 5
x = 6
x = 7
x = 8
#12

What is the value of x in the equation (4x + 5)/2 = 9?

x = 4
x = 7
x = 8
x = 9
#13

Which method can be used to solve the equation 2x + 7 = 5x - 3?

Substitution Method
Graphical Method
Elimination Method
Matrix Method
#14

Which method can be used to solve the equation 3x + 2y = 10 and 2x - 3y = 5 simultaneously?

Substitution Method
Graphical Method
Elimination Method
Matrix Method
#15

Which method can be used to solve the equation 2x + 3y = 12 and 3x - 2y = 8 simultaneously?

Substitution Method
Graphical Method
Elimination Method
Matrix Method
#16

Which method can be used to solve the equation 3x + 2y = 14 and 2x - 3y = 4 simultaneously?

Substitution Method
Graphical Method
Elimination Method
Matrix Method
#17

Which method can be used to solve the equation 2x + 5y = 20 and 3x - 4y = 10 simultaneously?

Substitution Method
Graphical Method
Elimination Method
Matrix Method

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