Algebra, NAPX-E4-CA15

Question

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Worked Solution

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Variant 0

DifficultyLevel

628

Question

b\large b is a positive whole number.

Which of the equations below is not true?

Worked Solution

Test each option:
b\large b × b\times\ \large b × b\times\ \large b × 3\times\ 3 = 3b3\large b3^3
≠ 3b3\large b

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large b$ is a positive whole number. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | $\large b$ $\times\ \large b$ $\times\ \large b$ $\times\ 3$ | \= $3\large b$$^3$ | | | ≠ $3\large b$ |
correctAnswer
$\large b$ × $\large b$ × $\large b$ × 3 = 3$\large b$

Answers

Is Correct?Answer
x

2b2\large b + b\large b + 2b\large b = 5b\large b

✓

b\large b × b\large b × b\large b × 3 = 3b\large b

x

b\large b = − b-\ \large b ×\times − 1

x

bb=1\dfrac{\large b}{\large b} = 1

Variant 1

DifficultyLevel

628

Question

a\large a is a positive whole number.

Which of the equations below is not true?

Worked Solution

Test each option:
2a2\large a × 3a3\large a = 6a6\large a2^2
≠ 5a5\large a2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large a$ is a positive whole number. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | $2\large a$ × $3\large a$ | \= $6\large a$$^2$ | | | ≠ $5\large a$$^2$ |
correctAnswer
$2\large a$ × $3\large a$ = $5\large a$$^2$

Answers

Is Correct?Answer
x

2a2\large a + 3a\large a −- 4a\large a = a\large a

✓

2a2\large a × 3a3\large a = 5a5\large a2^2

x

2a2\large a = − 3a-\ 3\large a ×\times (− 1) −- a\large a

x

3a2a=32\dfrac{3\large a}{2\large a} = \dfrac{3}{2}

Variant 2

DifficultyLevel

630

Question

x\large x is a positive whole number.

Which of the equations below is not true?

Worked Solution

Test each option:
x\large x −- 3x\large x −- 2x\large x = −-4x4\large x
≠ −-6x6\large x

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large x$ is a positive whole number. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | $\large x$ $-$ 3$\large x$ $-$ 2$\large x$ | \= $-$$4\large x$ | | | ≠ $-$$6\large x$ |
correctAnswer
$\large x$ $-$ 3$\large x$ $-$ 2$\large x$ = $-$$6\large x$

Answers

Is Correct?Answer
x

3x3\large x × 3x3\large x × 3x3\large x = (3x(3\large x)3^3

✓

x\large x −- 3x\large x −- 2x\large x = −-6x6\large x

x

− 4x-\ 4\large x × 5x5\large x = − 20x-\ 20\large x2^2

x

2x18=x9\dfrac{2\large x}{18} = \dfrac{\large x}{9}

Variant 3

DifficultyLevel

650

Question

x\large x and y\large y are positive whole numbers.

Which of the equations below is not true?

Worked Solution

Test each option:
3x2y2x\dfrac{3\large x^2y}{2\large x} = 3xy2\dfrac{3\large xy}{2}
≠ 3y2x\dfrac{3\large y}{2\large x}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large x$ and $\large y$ are positive whole numbers. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | $\dfrac{3\large x^2y}{2\large x}$ | \= $\dfrac{3\large xy}{2}$ | | | ≠ $\dfrac{3\large y}{2\large x}$ |
correctAnswer
$\dfrac{3\large x^2y}{2\large x} = \dfrac{3\large y}{2\large x}$

Answers

Is Correct?Answer
x

x\large x × x\large x × 2y2\large y = 2x2\large x2^2y\large y

✓

3x2y2x=3y2x\dfrac{3\large x^2y}{2\large x} = \dfrac{3\large y}{2\large x}

x

3xy3\large xy ++ 3x\large x −- 4xy\large xy = 3x\large x −- xy\large xy

x

4x2y24\large x^2y^2 = 2x2\large x × x\large x × 2y2\large y × y\large y

Variant 4

DifficultyLevel

633

Question

m\large m is a positive whole number.

Which of the equations below is not true?

Worked Solution

Test each option:
−−(2m2\large m)2^2 = −- (2m2\large m) × (2m2\large m)
= −- 4m4\large m2^2
≠ 4 m\large m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large m$ is a positive whole number. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | $−$($2\large m$)$^2$ |= $-$ ($2\large m$) × ($2\large m$) | | |= $-$ $4\large m$$^2$ | | | ≠ 4 $\large m$$^2$ |
correctAnswer
$−$($2\large m$)$^2$ = 4 $\large m$$^2$

Answers

Is Correct?Answer
✓

−−(2m2\large m)2^2 = 4 m\large m2^2

x

2m4m\dfrac{2\large m}{4\large m} = 12\dfrac{1}{2}

x

m\large m × 3 × m\large m × 3 × m\large m × 3 = (3m\large m)3^3

x

−−2m2\large m + m\large m + 2m\large m + 2m\large m −−3m3\large m = 0

Variant 5

DifficultyLevel

634

Question

a\large a is a positive whole number.

Which of the equations below is not true?

Worked Solution

Test each option:
2(2a2\large a + 3) = 22 × 2a2\large a + 22 × 33
= 4a4\large a + 66
≠ 4a4\large a + 3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large a$ is a positive whole number. Which of the equations below is **not** true?
workedSolution
Test each option:
| | | | ------------- | ---------- | | 2($2\large a$ + 3) | \= $2$ × $2\large a$ + $2$ × $3$ | | | = $4\large a$ + $6$ | | | ≠ $4\large a$ + 3 |
correctAnswer
2($2\large a$ + 3) = $4\large a$ + 3

Answers

Is Correct?Answer
x

3a2a\dfrac{3\large a}{2\large a}×\times2a2a\dfrac{2\large a}{2\large a} = 32\dfrac{3}{2}

✓

2(2a2\large a + 3) = 4a4\large a + 3

x

2a2\large a × 3a3\large a = 6a6\large a2^2

x

6a6\large a + 3a\large a −- 10a\large a = −- a\large a

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