Station 1: Concepts

Translate: two times the sum of a number and five 

• 2 + y + 5

• 2y + 5 

• 2(y + 5)

• 2 - y + 5

Answer explanation

To translate 'two times the sum of a number and five' into an algebraic expression, we use 2(y + 5). This correctly represents multiplying 2 by the sum of a number (y) and five.

4 less than x 

• 4 - x

• x - 4

• 4x

• -4x

Answer explanation

The correct choice is x - 4 because the question states '4 less than x', which means x is greater than 4. Therefore, x - 4 is the correct expression.

Translate: Six fewer than twice a number is four.

• 6 - 2x = 4

• 2x - 6 = 4

• x² - 6 = 4

• 6 - x² = 4

Answer explanation

The correct choice is 2x - 6 = 4 because it represents the translation of the given statement 'Six fewer than twice a number is four'.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression for total cost be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

Answer explanation

The expression for total cost would be 3x + 2. The cost per cookie is represented by 3x, and the cost for boxing them up is 2. Therefore, the total cost is the sum of these two terms.

A fitness club opens with 80 members. Each month the membership increases by 15 members.

Which equation represents the relationship between the number of months, "x", for which the club has been opened,

and the total members "y" in the fitness club?

• y = 15x

• y = 15x + 80

• y = x + 15

• y = 80x + 15

Answer explanation

The equation y = 15x + 80 represents the relationship between the number of months, x, and the total members, y, in the fitness club. It accounts for the initial 80 members and the monthly increase of 15 members.

A number is equal to itself.

• Symmetric Property

• Reflexive Property

• Distributive Property

• Transitive Property

For any angles A and B, if  $\angle$  A =  $\angle$   B, then  $\angle$   B =  $\angle$   A.

• Symmetric Property

• Reflexive Property

• Transitive Property

• Distributive Property

2(x+5)=2x+10

• symmetric property

• reflexive property

• transitive property

• distributive property

If m $\angle$  A - m $\angle$ B = m $\angle$ C, then m $\angle$ A=m $\angle$ C + m $\angle$ B.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

If AB + BC = 10, and DE + EF = 10, then AB + BC = DE + EF.

• Substitution Property

• Symmetric Property

• Reflexive Property

• Transitive Property