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Equations Introduction Worksheet
Name:_______________________________
Period:______
Definition 1: An ____________________ is a mathematical sentence with an equal sign.
Ex 1:
8 + 5 = 13
x – 10 = 42
b – (-7) = 3a – 54
Definition 2: The sides of an equation are separated by an ________________ sign.
Definition 3: An equation with one or more variables is an _________________________
Classify the following equations as TRUE, FALSE, or OPEN SENTENCE:
1) 5 + 16 = 21
2) 3 + 11 = 16
3) 4 – 6 = 2
4) 3(y – 2) = -9 + 8y
Definition 3: A___________________ is a given set of numbers that are to be substituted
for the variable(s).
 All solutions that make the equation TRUE are called the SOLUTION SET.
 We use braces for set notation.
 If no solution exists we use {} or  (Knows as the “empty set” or “no solution”)
Solve each equation over the domain x  {0,1, 2, 3}
5) 5x – 1 = 9
6) 2f = f ● f
Solution Set:
Solution Set:
Solve each equation using INVERSE OPERATIONS. CIRCLE YOUR SOLUTION!
Be sure to show ALL WORK and ALL STEPS!!!
11  32 
 0.7  k  1.7
x6 4
7)
8)
9)
y
10)
5
y  10
2
11)
1
 t  17
5
12)
3
24   t
7
13)
1
1
t 3
2
2
14)
0  4.5 y
15)

x
1
 11
2
2
2
p  14
11
y 2 8
x
17)
18)
2
20)
x   2  4
21)  x  8  1
16)

19)
3 x  18
8