8/25/2016
Prebell
How many solutions does this equation have?
4𝑥 + 12 = 2(2𝑥 + 8)
Explain how you know:
Find the mistake.
Given:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
5𝑥 + 4 − 9 = −5(𝑥 − 1)
5𝑥 + 4 − 9 = −5𝑥 + 5
5𝑥 − 5 = −5𝑥 + 5
+5𝑥
+ 5𝑥
−5 = 5
−5 ≠ 5
No Solution
32 5
2
2
− 𝑛=
𝑛−
9 6
3
3
7 𝑘 + 3 = 15 + 7𝑘
4𝑥 + 8 = −2𝑥
−6 −4 + 3𝑥 = −4 − 4𝑥
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8/25/2016
2𝑥 − 8 + 4𝑥 = −8 + 6𝑥
3
17 3
13 3
𝑏−
− 𝑏=− − 𝑏
4
6 2
3 2
𝑛+1=5+𝑛
3𝑥 + 9 − 4𝑥 = −(𝑥 − 9)
How many solutions does each
equation have?
Complete each equation so that it has
the indicated number of solutions.
A. 7𝑥 − 9 = 4 + 7𝑥
1. Infinite Solutions: 6𝑥 − 8 = ___________
B. 3𝑥 + 2 − 𝑥 = 5 − 2𝑥
2. No Solution:
4 + 3𝑥 = ___________
3. One Solution:
2𝑥 + 8 = ___________
C. −3𝑥 + 15 = 3(5 − 𝑥)
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Complete each equation so that it has
the indicated number of solutions.
1. No Solution:
3(2𝑥 − 6) = ___________
2. One Solution:
𝑥 + 7 − 4𝑥 = ___________
3. Infinite Solutions: −(4 − 𝑥) = ___________
3