1st 6-Weeks MID EXAM 2023-2024

Zeke placed some real numbers on a Venn Diagram as shown.  What errors did Zeke make if any?

• He did not make any errors.

Which of the following is an irrational number?

(Select TWO answers)

Which of the following is equivalent to

 $-25-100$  ?

•  $25+100$  
  

•  $25-100$  
  

•  $-25+100$  
  

•  $-25+\left(-100\right)$  
  

Match the following. 

Simplify:    (HINT:  Do PEMDAS)
 $23-\left[\left(6-3\right)^2+8\div4\right]$  

•  $12$  

•  $15$  

•  $14$  

•  $11$  

Mathematical Equivalence

ON

Which of the following expressions simplifies to  $4\$  ?

(HINT:  Do PEMDAS)

•  $1^2+2$  

•  $2\left[5+\left(36\div6\right)\right]$  

•  $5+2\cdot7-4$  

•  $\frac{6\left(7+3\right)}{30\div10\cdot5}$  

Which of the following is equivalent to  $\sqrt{200}$  ?

(HINT:  Factor Tree)

•  $10\sqrt{2}$  

•  $2\sqrt{100}$  

•  $7\sqrt{2}$  

•  $2\sqrt{10}$  

Simplify: 

 $2\sqrt{45}$  
(HINT:  Factor Tree)

•  $3\sqrt{5}$  

•  $6\sqrt{5}$  

•  $2\sqrt{15}$  

•  $10\sqrt{3}$  

Which of the following statements is TRUE about  $\sqrt{98}$  ?

(HINT:  Factor Tree)

•  $\sqrt{98}=7\sqrt{2}$  
  because the prime factorization of  $98$  is  $2\cdot7\cdot7$  

•  $\sqrt{98}=2\sqrt{7}$  
  because the prime factorization of $98$  is  $2\cdot7\cdot7$  
  

•  $\sqrt{98}=14\sqrt{7}$  
  because the prime factorization of $98$  is  $2\cdot2\cdot7$  
  

•  $\sqrt{98}=14$  
  because the prime factorization of  $98$  has a  $2$  and  $7$