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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Linear Equations in One Variable
The Addition and Multiplication Properties of Equality

Warm-Ups



1

The solution to x - 5 = 5 is 10.
A)TRUE
B)FALSE
2

The equation x/2 = 4 is equivalent to the equation x = 8.
A)TRUE
B)FALSE
3

To solve (3/4)y = 12, we should multiply each side by 3/4.
A)TRUE
B)FALSE
4

The equation x/7 = 4 is equivalent to (1/7)x = 4.
A)TRUE
B)FALSE
5

Multiplying each side of an equation by any real number will result in an equation that is equivalent to the original equation.
A)TRUE
B)FALSE
6

To isolate t in 2t = 7 + t, subtract t from each side.
A)TRUE
B)FALSE
7

To solve 2r/3 = 30, we should multiply each side by 3/2.
A)TRUE
B)FALSE
8

Adding any real number to both sides of an equation will result in an equation that is equivalent to the original equation.
A)TRUE
B)FALSE
9

The equation 5x = 0 is equivalent to x = 0.
A)TRUE
B)FALSE
10

The solution to 2x - 3 = x + 1 is 4.
A)TRUE
B)FALSE