Unit 1: Negative number, indices and roots

Unit 1: Negative number, indices and roots

Mid-term Review

1.1 Multiplying and dividing integers​

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Multiple Choice

$$-20\div5=$$  

• -4

• 4

• -100

• 100

Multiple Choice

$$-18\div\left(-2\right)=$$  

• 9

• -9

• -36

• 36

Multiple Choice

$$\left(-3\right)^2$$  

• -6

• -9

• 9

• 6

Fill in the Blank

-4 x -4 = ____ (write the number only)

Multiple Choice

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

• POSITIVE
• NEGATIVE
• DEPENDS ON WHICH NUMBER IS LARGER.

Multiple Choice

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

• Positive
• Negative
• Depends on which is bigger.

Multiple Choice

When you multiply two negative integers, the product is larger than both of the number

• Never true

• Sometimes true

• Always true

Multiple Choice

-4 x 6 

• -24
• 24

Multiple Choice

When you multiply a positive integer and a negative integer, the result lies between the two numbers

• Never true

• Sometimes true

• Always true

1.2 Squares, cubes, and root​s

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Multiple Choice

How many square roots does 16 have?

• 0

• 1

• 2

• many

Multiple Select

Which number is a square root of 16 (choose all that apply)

• -4

• 4

• -8

• 8

Multiple Choice

How many cube root does 27 have?

• 0

• 1

• 2

• many

Multiple Choice

Which number is a cube root of 27

• 3

• -3

• 9

• -9

Multiple Choice

How many square roots does 0 have?

• 0

• 1

• 2

• many

Multiple Choice

How many square roots does -400 have?

• 0

• 1

• 2

• ma

Open Ended

Explain why -400 does not have square roots

​1.3 The index law

​Watch the video "Laws of indices" (in Teams) if you forgot the laws or you need a bit more instruction

Multiple Choice

What is the correct law for multiplication? a^m x aⁿ =

• a^m+n
• a^m + aⁿ
• a^mxn
• a^mn

Multiple Choice

What is the correct law for division? a^m ÷ aⁿ =

• a^m-n
• a^m - aⁿ
• a^m÷n
• a^m/n

Multiple Choice

Simplify: 3⁵ x 3⁷

• 3¹²
• 9¹²
• 3³⁵
• 9³⁵

Multiple Choice

Simplify: 2⁸ ÷ 2²

• 2⁶
• 2⁴
• 2¹⁰
• 1

Multiple Choice

Simplify: f⁰

• 1
• f
• f¹
• 0

Multiple Choice

Simplify: 3x³ × 6x⁸

• 18x¹¹
• 18x²⁴
• 9x¹¹
• 9x²⁴

Multiple Choice

Simplify: (y⁷)²

• y¹⁴
• y⁴⁹
• y⁵
• y⁹

Fill in the Blank

Given that $$5^4=625$$  , then $$5^{12}=625^x$$  . Find $$x$$  (write the number only)

Open Ended