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Understanding Expressions and Solving for Constants

Understanding Expressions and Solving for Constants

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
6.EE.A.2C, 8.EE.C.7B, 8.EE.A.2

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.6.EE.A.2C
,
CCSS.8.EE.C.7B
,
CCSS.8.EE.A.2
The video tutorial explains how to express a given equation in terms of a positive constant D. It begins by setting x to a specific value and substituting it into both sides of the equation. The tutorial then guides through solving for D by multiplying binomials, distributing, and isolating D squared. Finally, it calculates D by taking the square root and simplifies the result to find the positive constant value.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the form in which the given expression can be rewritten?

One half x squared minus six

Two x squared plus six

Four x squared plus two

Three x squared minus four

Tags

CCSS.6.EE.A.2C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is x set to a specific value in the process of solving the expression?

To eliminate the constant D

To avoid using fractions

To make the expression more complex

To simplify the expression

Tags

CCSS.6.EE.A.2C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting x = 2 into the expression on the right side?

Three times D

Two minus six

Four plus D

D squared minus four

Tags

CCSS.8.EE.C.7B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after distributing one half on the left side?

Isolating D squared

Adding two to both sides

Multiplying by three

Dividing by four

Tags

CCSS.8.EE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of D squared after solving the equation?

8

6

12

10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified positive value of D?

Two square root 3

Square root 6

Three square root 2

Square root 10

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