A1AU1 Test Review (Next Gen)

Equivalent Expression

100

2(3x+5)

6x+10

200

4(3x-2)-2(4x+5)

4x-18

300

(x+8)(x+3)

x²+11x+24

400

(2x³)²(-5x⁴)

-20x¹⁰

500

(2x+5)(3x-2)

6x²+11x-10

Properties

100

What property is illustrated in the identity below

2(3x+1)=6x+2

Distributive property

200

What property is illustrated below

6x+(2+3)=6x+(3+2)

Commutative Property

300

What property is illustrated below

6x+(2+3)=(6x+2)+3

Associative

400

What property is modeled below

(4x+5)+(3x+6)=4x+(5+3x)+6

Associative

500

What property is illustrated below

4x+(5+3x)+6=4x+(3x+5)+6

Commutative

Translate

100

10 less than a number

x-10

200

eight more than five times a number 

5x+8

300

The sum of twice n and 5

2n+5

400

twice the sum of n and 5

2(n+5)

500

Francisco is three years more than twice Jenna's age. Harrison is two years less than three times Jenna's age. If Jenna's age is given by a, then write an expression for Franciscos age, Harrison's age, and the sum of all three ages, in terms of a.

Jenna's age: a

Francisco's age: 2a+3

Harrison's Age: 3a-2

Sum of all Three: 6a+1