Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Test1 |
Grade: 8-b Lesson: S1-P1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Add \$3(( 4x^3) - 2x^2 + 5x - 3)\$ and \$(2( 3x^2) - 6(2x^3) - x + 7)\$. |
|
2 |
Step |
The given expressions are |
\$3(( 4x^3) - 2x^2 + 5x - 3)\$ and \$(2( 3x^2) - 6(2x^3) - x + 7)\$ |
3 |
Step |
Simplify the expressions |
\$(12x^3 - 6x^2 + 15x - 9) + ( 6x^2 - 12x^3 - x + 7)\$ |
4 |
Step |
Combine like terms: \$x^3\$ |
\$12x^3 - 12x^3 = 0\$ |
5 |
Step |
Terms with \$x^2\$: |
\$-6x^2 + 6x^2 = 0\$ |
6 |
Step |
Terms with x: |
\$15x - x = 14x\$ |
7 |
Step |
Constant terms: |
-9 + 7 = -2 |
8 |
Step |
Write the Simplified Expression |
14x - 2 |
9 |
Step |
So, the simplified expression is 14x - 2. |
|
10 |
Choice.A |
14x - 2 is correct because it accurately represents the simplified expression obtained by combining like terms from the expanded forms of the original expressions |
14x - 2 |
11 |
Choice.B |
This option is incorrect because it includes terms that should not be present after the simplification |
\$12x^3 - 12x^2 - 14x -2\$ |
12 |
Choice.C |
14x + 2 is incorrect because it has the wrong sign for the constant term |
14x + 2 |
13 |
Choice.D |
This option is incorrect because it includes terms that should not be present and has the wrong sign for the constant term |
\$12x^3 + 12x^2 +14x +2\$ |
14 |
Answer |
Option |
A |
15 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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