Solving Exponential Equations

Solving Exponential Equations

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.A.2C, HSA.REI.A.1, HSA.APR.A.1

+2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.6.EE.A.2C
,
CCSS.HSA.REI.A.1
,
CCSS.HSA.APR.A.1
CCSS.8.EE.C.8B
,
CCSS.HSA.REI.C.6
,
The video tutorial explains how to solve a mathematical problem involving two equations: x to the 10th equals five, and x to the ninth divided by y equals 555. The instructor guides viewers through solving for x to the ninth by multiplying both sides of the second equation by y, simplifying to find x y, and then using substitution and simplification to determine one over x y by taking the reciprocal of both sides.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem statement involving x and y?

x^10 = 10 and x^9/y = 555

x^10 = 5 and x^9/y = 500

x^10 = 10 and x^9/y = 500

x^10 = 5 and x^9/y = 555

Tags

CCSS.HSA.REI.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to isolate x^9 in the second equation?

Subtract y from both sides

Add y to both sides

Divide both sides by y

Multiply both sides by y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating x^9, what expression do we get?

x^9 = 555y

x^9 = 5y

x^9 = 5

x^9 = 555

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is x^10 expressed in terms of x and x^9?

x^10 = x + x^9

x^10 = x - x^9

x^10 = x / x^9

x^10 = x * x^9

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of xy after solving the equations?

xy = 1111

xy = 111

xy = 1/1111

xy = 1/111

Tags

CCSS.6.EE.A.2C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of 1/(xy)?

1/1111

1111

1/111

111

Tags

CCSS.6.EE.A.2C

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