Algebraic Expressions Review (Ch. 3)

An ice cream shop charges $3.39 for a dish of ice cream. A customer can also order toppings for $0.59 each. If x represents the number of toppings, which expression can be used to determine the total charge, in dollars, for a dish of ice cream with x toppings? 

• 339x + 0.59
• 3.98 + x
• 3.39 + 0.59x
• 3.98x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Which equation is true for all numbers a?

• a + 0 = a
• a x 0 = a
• a + 1 = 1
• a x 1 = 1

Sheryl earns money for college by walking dogs and by mowing lawns. She earns $3  for each dog she walks and $25 for each lawn she mows. Which expression can be used to determine the amount of money, in dollars, Sheryl earns from walking w dogs and mowing m lawns?

• 3w + 25m
• 28(m + w)
• 3w + 25
• 75(w + m)

Tags

CCSS.6.EE.B.6

Identify the terms, constants, and coefficients.

• Terms: 8, 4p², q²/6
  Coefficients: 4, 1/6
  Constant: 8
• Terms: p², q²
  Coefficients: 4, 1/6
  Constants: 8,4, 1/6
• Terms: 8, 4p², q²/6
  Coefficients: 4, 1/6
  Constants: 8,4, 1/6
• Terms: p², q²
  Coefficients: 4, 1/6
  Constant: 8,4,1

The steps Irena took to simplify an expression are shown above. What should Irena change in order to simplify the expression correctly?

• Multiply 48 and 24 by 12.
• Divide 48 and 24 by 12.
• Add 12 to (48 + 24).
• Multiply 24 by (48 + 12).

The student council is organizing a school fair. Council members are making signs to show the prices for admission and for each game a person can play.
Let x represent the number of games. Which expression can you use to determine the total amount, in dollars, a person pays for admission and playing x games?

• 2.25
• 2 + 0.25x
• 2.25x
• 2x + 0.25

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.A.3

Which property does the equation below represent?
17 ⋅ 44 + 17 ⋅ 56 = 17 ⋅ 100

• Distributive Property 
• Associative Property of Multiplication
• Multiplication Property of One
• Commutative Property of Multiplication

Which property was used to simplify the expression?

• Distributive Property
• Multiplication Property of One
• Associative Property of Multiplication
• Commutative Property of Multiplication

What is the value of the expression below when a = 5, b = 7, and c = 6?
9b − 4a + 2c

• 29
• 55
• 31
• 78

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Which equation correctly demonstrates the Distributive Property?

• a(b + c) = ab + c
• a(b + c) =
  ab + ac
• a + (b + c) =
  (a + b) + (a + c)
• a + (b + c) =
  (a + b) ⋅ (a + c)