Download Algebra: 7.2.1 Writing Exponential Equations Name

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Name __________________________
Block ___ Date ________
Algebra: 7.2.1 Writing Exponential Equations
Bell Work 12/9
Create an equation for each graph.
a.
b.
5 y
c.
5 y
4
3
2
1
5 y
4
4
3
3
2
2
1
1
x
−2
−1
1
2
x
−3
−1
−2
−1
1
2
x
−3
−2
−1
2
−1
−1
𝟏 𝒙
𝒚 = 𝟑� �
𝟑
1
𝟑 𝒙
𝒚 = 𝟐� �
𝟐
𝒚=
𝟏
𝒙+𝟒
𝟐
Solve each problem. Show sufficient work.
y
(3, 56)
7-80. Find an exponential equation in y = abx form for this graph.
7
x
7-81. Find the equation of an exponential function with an asymptote at y = 0 that passes through the
points (0, 5) and (3, 320).
7-82. Find the following in your calculator.
a) √63 ≈ 7.937
1
b) 632 ≈ 7.937
c) How do the answers to a) and b) compare? They are the same
3
d) √64 = 4
1
e) 643 = 4
3
f) √72 ≈ 3.659
2
g) 73 ≈ 3.659
Use what you discovered in 7-82 to find the value of x in each equation. Check answers in your calculator.
i. 27𝑥 = 3
𝑥=
1
3
ii. 10000𝑥 = 10
𝑥=
1
4
iii. 25𝑥 = 5
𝑥=
1
2
Show sufficient work
EOC Practice:
1.
Bubble the correct answer  Ⓐ Ⓑ Ⓒ Ⓓ
– 3 0
2.
�
0.7 0.4 𝑥
16
� ∙ �𝑦 � = � �
1
1
10
Grid in the correct answer 
3.
3𝑥 − 4(2𝑥 + 6) = −19
3𝑥 − 8𝑥 − 24 = −19
−5𝑥 − 24 = −19
−5𝑥 = 5
𝒙 = −𝟏
𝑦 = 2(−1) + 6 = 𝟒
Bubble the correct answer  Ⓐ Ⓑ Ⓒ Ⓓ