PEMDAS/Algebra Test

An expression is given.

 $4\cdot\left(4\ +7\right)\ \div2$  
Which statement is true about the parenthesis in this expression?

• The parenthesis indicate that 4 + 7 should be solved first.

• The parenthesis indicate that 4 + 7 should be solved last. 

• The parenthesis indicate that 7  $\div$  2 should be solved last. 

• The parenthesis indicate that 4  $\cdot$  4 should be solved first. 

Kaylee wants to solve this numeric expression.

 $5-2+4+\lceil\left(7+5\right)\ -\ 4\rceil$  

What should Kaylee do first?

• Add 2 to 4

• Subtract 2 from 5

• Add 4 to 7

• Add 7 and 5

Joshua simplified a numeric expression to solve a math problem. He described the steps he followed below:

* First, I divided 42 by 7

* Second, I added the quotient to 16

* Third, I multiplied the sum by 2

How should Joshua write the expression?

• $\lceil16\ +\ \left(42\ \div\ 7\right)\rceil\cdot2$

• 16 + (42 $\div$ 7) $\cdot$ 2

• $\lceil16\ +\left(7\div42\right)\rceil\cdot2$

• $16+\left(42\div7\right)+2$

 $\lceil36\ +\left(3\ \cdot\ 2\right)\rceil\div6$  
Which statement is true about the brackets in this expression?

• The brackets tell us to complete the operations inside first; multiply 3 and 2 and then add the product to 36.
  

• The brackets tell us to multiply 3 by 2 and then divide the product by 6.

• The brackets tell us to divide 36 by 6 followed by solving the expression in the parenthesis.

• The brackets tell us to divide 2 by 6. 

 $12\ \cdot\left(20\div4\right)-2$  
Which statement is true about the parenthesis in this expression? 

• 4 - 2 should be solved last

• 20 $\div$  4 should be solved first

• 20  $\div$  4 should be solved last

• 12  $\cdot$  20 should be solved first

What is the value of this expression?

 $\lceil42\ +\left(4\cdot3\right)\rceil\div9$  

• 15

• 54

• 6

• 5

The Cypert family is driving to Disney World. They drove 6 hours at 75 miles per hour and 5 hours at 60 miles per hour. They still have to travel another 240 miles before they arrive in Disney World.

 $\left(6\cdot75\right)+\left(5\cdot60\right)+240$  
How far will the Cypert family drive to get to Disney World?

• 750 Miles

• 540 Miles

• 990 Miles

• 980 Miles

 $81\ \div\ 9\ +\ 4\ \cdot\ 5\ -\ 7$  

The outside temperature in Allen, TX was

 $50\degree$  at 6 am. the temperature increased  $2\degree$  every ten minutes for the next hour.  By 7:30 am, the temperature had risen another 5 degrees. the expression below can be used to determine the outside temperature at 7:30 am in Allen, TX.
 $50\ +\ 2\left(60\div10\right)\ +5$  

• 67

• 22

• 55

• 69

 $\left(7.6-3.2\right)\cdot3$  

Anyia wrote this numeric expression.

What is the value of Anyia's expression?

• 14.2

• 10.2

• 13.2

• 12.2