Algebra 1 Warm-up 5

Algebra 1 Warm-up 5

Dividing exponents; Absolute Value

Fill in the Blanks

 $\frac{3\cdot3\cdot3\cdot3}{3\cdot3\cdot3}=$  

Fill in the Blanks

 $\frac{3^4}{3^3}=\frac{3\cdot3\cdot3\cdot3}{3\cdot3\cdot3}=$  

Multiple Choice

The answer to the last question was 3. 3 could be written in exponential form as

• $3^0$

• $3^2$

• $3^1$

Multiple Choice

This means  $\frac{3^4}{3^3}=3^1$ .  How do the exponents 4, 3, and 1 relate to one another? 

•  $4+3=1$  

•  $4\cdot3=1$  

•  $4-3=1$  

•  $\frac{4}{3}=1$  

Multiple Choice

The expression  $\frac{5^7}{5^2}$  can be written as  $\frac{5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5}{5\cdot5}.$  If I divide out the factors on top with a matching factor on bottom (since they equal 1), how many factors of 5 are left? 

• 7 factors of 5, or  $5^7$  

• 2 factors of 5, or  $5^2$  

• 5 factors of 5, or  $5^5$  

Multiple Choice

The answer to the last one was "5 factors of 5" because the two factors of five on bottom would cancel out two of the seven factors of 5 on top. How do the exponents 7, 2, and 5 relate to one another?

• $7+2=5$

• $7\cdot2=5$

• $7-2=5$

• $\frac{7}{2}=5$

Multiple Choice

Take your best guess here: Which of the following is equivalent to  $\frac{n^8}{n^2}$  

•  $n^4$  

•  $n^6$  

•  $n^{16}$  

•  $n^{10}$  

Multiple Choice

How far away from zero on a number line is 7?

• 6 units

• 7 units

• 8 units

• 9 units

Multiple Choice

How far away from zero on a number line is the number -7?

• -7 units

• 7 units

• 0 units

7 units was the answer to both of those questions

Distance is always positive.

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.

Example: h⁸ / h³

• add

• subtract

• multiply

• divide

Multiple Choice

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Multiple Choice

The absolute value of 79 is 79.

• False 
• True

Multiple Choice

What is the absolute value of |572|.

• 275
• -572
• 57
• 572

Multiple Choice

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Multiple Choice

| –3 |

• 3
• -3
• 0.30
• 30

Multiple Choice

|-20|

• 20
• -20

Multiple Choice

Is absolute value always positive?

• yes
• no

Multiple Choice

Which has the same absolute value as -55?

• 0
• -1
• 1
• 55

Multiple Choice

When dividing with the same base: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

• 6
• 36
• 1
• 6²²

Multiple Choice

• x⁴
• x⁸
• x¹²
• x²⁰

Multiple Choice

(4² )( 4²)

• 16⁴
• 4²
• 4⁴
• 8²

Multiple Choice

2 * 2² *2²

• 2⁴
• 8⁴
• 36
• 2⁵