Adding and subtracting rational numbers

The area formula for this shape is

Tags

CCSS.7.NS.A.1D

Given j and l are nonzero rational numbers

k and m are irrational numbers

Which statement is always true?

• The result of j +l is an irrational number because the sum of any two rational number is irrational

• the result of k +m is a rational number because the sum of any two irrational numbers is rational

• the result of j + l is a rational number because the sum of any two rational numbers is rational

• The result of k + m is an irrational number because the sum of any two irrational numbers is irrational

Tags

CCSS.7.NS.A.1D

Which of the following expressions are equivalent to  $6.53-\left(-4.11\right)+7.92?$  Select two correct answers.

•  $6.53-\left(-4.11+7.92\right)$  

•  $6.53+4.11+7.92$  

•  $-\left(-6.53\right)+4.11-\left(-7.92\right)$  

•  $6.53-4.11+7.92$  

•  $-6.53-4.11-7.92$  

Tags

CCSS.7.NS.A.1D

 $-7\frac{2}{5}+2+8+\left(-3\frac{3}{5}\right)-6$  

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CCSS.7.NS.A.1D

-25/5 - (-10/2)

• 0
• -10
• 10
• -5

Tags

CCSS.7.NS.A.1D

-(1+5x)

• -6x-2

• -12x

• -1-12x

• -1-5x

Tags

CCSS.7.NS.A.1D

• rational

• irrational

Tags

CCSS.7.NS.A.1D

Roberto started with $60.00 in his checking account. He recorded these transactions in his check book: −$12.7, −$5.43 , $60.00, −$2.57, and −$22.25 .

Which statement represents associative and commutative property of his transactions?

• $60.00+[(12.75)+(22.25)]+[(5.43)+(2.57)]+40.00$

• $12.75+5.43+40.00+60.00+2.57+22.25$

• $[(−12.75)+(−5.43)][+40.00+60.00][(−2.57)+(−22.25)]$

  
  

• $\lceil\left(60.00+40.00\right)+(−12.75)+(−22.25)]+[(−5.43)+(−2.57)]$

Tags

CCSS.7.NS.A.1D

Mike watches a caterpillar climbing on a tree trunk. He writes the expression on a tree truck. He writes the expression  $\left(-\frac{5}{8}\right)\ -\ \left(\left(-\frac{1}{8}\right)-\ \frac{1}{2}\right)$  to show the change, in feet, of the caterpillar's height on the tree trunk. Which of the following expressions are equivalent to Mike's expression above? Select all that apply.

•  $\$   $\left(-\frac{5}{8}\right)\ +\left(\frac{1}{8}+\frac{1}{2}\right)$

•  $-\frac{5}{8}+\frac{5}{8}$  

• $\left(-\frac{5}{8}\right)\ -\ \left(\left(-\frac{1}{8}\right)-\ \frac{1}{2}\right)$ and $\left(-\frac{5}{8}\right)\ -\ \left(\frac{1}{8\ }+\ \frac{1}{2}\right)$

Tags

CCSS.7.NS.A.1D

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30
• 10x + 6
• 40x
• 2x + 30

Tags

CCSS.7.NS.A.1D