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Transcript
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
x6 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
