The steps in solving 5b - 6 = 24 are:

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

The Commutative Property states that when adding or multiplying two or more numbers or terms, order is not important. That is:

2 + 7 = 7 + 2 2+7=7+2 2 + 7 = 7 + 2

3 × 5 = 5 × 3 3\times5=5\times3 3 × 5 = 5 × 3

7 − 2 = 2 − 7 7-2=2-7 7 − 2 = 2 − 7

50 ÷ 10 = 10 ÷ 50 50\div10=10\div50 5 0 ÷ 1 0 = 1 0 ÷ 5 0

The Associative Property states that when adding or multiplying three or more numbers or terms together, grouping is not important. That is:

( 5 + 2 ) + 6 = 5 + ( 2 + 6 ) \left(5+2\right)+6=5+\left(2+6\right) ( 5 + 2 ) + 6 = 5 + ( 2 + 6 )

( 5 × 2 ) × 6 = 5 × ( 2 × 6 ) \left(5\times2\right)\times6=5\times\left(2\times6\right) ( 5 × 2 ) × 6 = 5 × ( 2 × 6 )

( 5 − 2 ) − 3 = 5 − ( 2 − 3 ) \left(5-2\right)-3=5-\left(2-3\right) ( 5 − 2 ) − 3 = 5 − ( 2 − 3 )

( 20 ÷ 4 ) ÷ 2 = 20 ÷ ( 4 ÷ 2 ) \left(20\div4\right)\div2=20\div\left(4\div2\right) ( 2 0 ÷ 4 ) ÷ 2 = 2 0 ÷ ( 4 ÷ 2 )

The Distributive Property states that for any three terms a,b, and c: a ( b + c ) = a b + a c a\left(b+c\right)=ab+ac a ( b + c ) = a b + a c Select the answer below that models this

4 ( 3 + 2 ) = ( 4 × 3 ) + ( 4 × 2 ) 4\left(3+2\right)=\left(4\times3\right)+\left(4\times2\right) 4 ( 3 + 2 ) = ( 4 × 3 ) + ( 4 × 2 )

5 ( 6 + 7 ) = 56 + 57 5\left(6+7\right)=56+57 5 ( 6 + 7 ) = 5 6 + 5 7

4 ( 3 + 2 ) = ( 4 + 3 ) × ( 4 + 2 ) 4\left(3+2\right)=\left(4+3\right)\times\left(4+2\right) 4 ( 3 + 2 ) = ( 4 + 3 ) × ( 4 + 2 )

5 ( 6 + 7 ) = 5 × 6 × 7 5\left(6+7\right)=5\times6\times7 5 ( 6 + 7 ) = 5 × 6 × 7

The Multiplicative Inverse Property states that for every nonzero number a there is a number 1 a \frac{1}{a} a 1 such that a × 1 a = 1 a\times\frac{1}{a}=1 a × a 1 = 1 A common name used for the multiplicative inverse is the reciprocal

8 × 1 8 = 1 8\ \times\frac{1}{8}=1 8 × 8 1 = 1

3 × 1 3 = 1 3\times\frac{1}{3}=1 3 × 3 1 = 1

5 × 1 5 = 0 5\times\frac{1}{5}=0 5 × 5 1 = 0

6 × 1 12 = 1 6\times\frac{1}{12}=1 6 × 1 2 1 = 1

The Multiplicative Inverse Property states that for every nonzero number a there is a number 1 a \frac{1}{a} a 1 such that a × 1 a = 1 a\times\frac{1}{a}=1 a × a 1 = 1 A common name used for the multiplicative inverse is the reciprocal

8 × 1 8 = 1 8\ \times\frac{1}{8}=1 8 × 8 1 = 1

3 × 1 3 = 1 3\times\frac{1}{3}=1 3 × 3 1 = 1

5 × 1 5 = 0 5\times\frac{1}{5}=0 5 × 5 1 = 0

6 × 1 12 = 1 6\times\frac{1}{12}=1 6 × 1 2 1 = 1

Map Test Prep

Quiz

•

Mathematics

•

6th Grade

•

Practice Problem

•

Hard

•

CCSS

6.EE.B.7, 7.EE.B.4A, HSA.REI.A.1

+8

Standards-aligned

SAMUEL ASIBAH

Used 1+ times

FREE Resource

Tags

CCSS.6.EE.B.7

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