Properties
Order of Operations
Miscellaneous
Challenge Problems
100

Name the 6 properties discussed in chapter 2 

distributive, associative, commutative, multiplication property of one, multiplication property of zero, addition property of zero. 

100

Newton has $10. He works 7 hours and earns $8 each hour. Choose the expression that represents the situation.

10 + (8 x 7)

100

(5 ___ 3 ) ___ (12 _____ 4) ____ 8 = 10

x, +, /, - 

100

Which expressions have a value of 5:

  • 6+30÷5−5
  • 3×3−3
  • 24÷(6+0+2)+2
  • 1+2×2
  • 4×(10−8)−2
  • (60−50)÷10+4
  • 24÷(6+0+2)+2
  • (60−50)÷10+4
  • 1+2×2
200

To find (9+4) ×5, Newton finds the product of 9 and 5 and the product of 4 and 5. Then he adds the products. Which property does he use?

Distributive Property 

200

Evaluate the expression: (26+5)×(8÷2)=

124

200

One teacher and 13 students visit a zoo. The teacher pays $12 and each student pays $8. Use the expression 12+13×8 to find how much money they pay in all.

$116

200

A volunteer walks 1 mile to a dog shelter. She walks 6 dogs for 12 mile each. Then she walks 1 mile home. She does this each day for 4 days. How many miles does she walk in all?

20

300

Complete the equation shown: 9 x (5+4) = (9x___) + (9 x 4) and identify the property shown. 

5; distributive property 

300

Evaluate the expression: (37 + 18) - 40 / 10 

51

300

Write the words as an expression. Then interpret the expression.

Add 42 and 78, then multiply by 4.

(42 + 78) x 4 

300

Tickets for a school talent show are sold out. The auditorium has 6 sections. Each section has 12 rows with 20 seats in each row. Each ticket costs $4. How much money is raised in ticket sales?

$5,760 

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