Solving Exponential Equations

Solving Exponential Equations

8th - 9th Grade

25 Qs

quiz-placeholder

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Solving Exponential Equations

Solving Exponential Equations

Assessment

Quiz

Mathematics

8th - 9th Grade

Practice Problem

Medium

CCSS
8.EE.A.1, 7.EE.B.4A, 6.EE.A.1

+2

Standards-aligned

Used 478+ times

FREE Resource

About this resource

This quiz focuses on solving exponential equations, a fundamental topic in Algebra I and II that bridges middle and high school mathematics. Based on the complexity and variety of problem types presented, this material is most appropriate for grades 8-9, as it requires students to manipulate exponential expressions using properties of exponents and apply algebraic reasoning to find unknown variables. The core concepts students need include understanding that exponential equations with the same base can be solved by setting exponents equal, recognizing how to rewrite numbers as powers of common bases (such as expressing 27 as 3³ or 64 as 4³), applying the zero exponent rule where any nonzero base raised to the zero power equals one, and working confidently with negative exponents and fractional solutions. Students must demonstrate fluency with exponent rules, pattern recognition to identify appropriate common bases, and algebraic manipulation skills to isolate variables in linear expressions within the exponents. Created by a mathematics teacher in the US who teaches grades 8 and 9, this quiz serves as an excellent tool for multiple instructional purposes throughout the exponential equations unit. Teachers can deploy these problems as warm-up exercises to activate prior knowledge of exponent rules, use them during guided practice to scaffold student understanding of solution strategies, or assign them as homework to reinforce classroom learning. The variety of problem types makes this quiz particularly valuable for formative assessment, allowing educators to identify specific areas where students struggle, such as recognizing common bases or applying negative exponent rules. This assessment directly supports Common Core standards 8.EE.A.1 (working with integer exponents) and A-SSE.B.3c (using properties of exponents to transform expressions), while building the foundation for more advanced exponential and logarithmic functions in higher-level mathematics courses.

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve: 98-x = 27x-3

x = 5
x = -5
x = 1/5
x = -1/5

Tags

CCSS.8.EE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve: 7-x = 49

x = 1
x = -1
x = 2
x = -2

Tags

CCSS.8.EE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve: 2x = 4x+1

x = -2
x = 2
x = -3
x = 3

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sovle for x:
5-3x - 1 = 25

x = -1
x = -4
x = -3
x = 1

Tags

CCSS.8.EE.A.1

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Solve for x:
32x = 27x - 4

x = 12
x = 4
x = -4
x = 1

Tags

CCSS.8.EE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for p:
4p+2 = 64

p = -16/9
p = 1
p = 8
p = 7/6

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Solve 33 = 34x + 2

x = ¼
x = -¼
x = ½
x = -½

Tags

CCSS.8.EE.A.1

CCSS.8.EE.C.7

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