Expressions & Properties Homework

Use commutative property to write an equivalent expression for 43 x 9.

Answer explanation

Using the commutative property of multiplication, we can rewrite 43 x 9 as 9 x 43. Both expressions yield the same product, demonstrating that the order of factors does not affect the result.

Use commutative property to write an equivalent expression for 2 + 15m

Answer explanation

Using the commutative property, we can rearrange the terms in the expression 2 + 15m to get 15m + 2. This shows that addition can be done in any order, confirming that 15m + 2 is an equivalent expression.

Use commutative property to write an equivalent expression for 8r x 1/4.

Answer explanation

Using the commutative property, we can rearrange the expression 8r x 1/4 to 1/4 x 8r. Both expressions are equivalent because multiplication is commutative.

Use associative property to write an equivalent expression for (11+3)+17

Answer explanation

Using the associative property, we can regroup the numbers in the expression (11+3)+17. This allows us to rewrite it as 11+(3+17), which is equivalent and shows that addition can be performed in any grouping.

Use associative property to write an equivalent expression for (xy)z

Answer explanation

Using the associative property of multiplication, (xy)z can be rewritten as x(yz). This property states that the way in which factors are grouped does not change the product, confirming that x(yz) is equivalent.

Use associative property to write an equivalent expression for 14c+(2c+5)

Answer explanation

Using the associative property, we can group the terms differently. Thus, 14c + (2c + 5) can be rewritten as (14c + 2c) + 5, which matches the choice (14c + 2c) + 5.

Solve the equation x-3=8

Answer explanation

To solve the equation x - 3 = 8, add 3 to both sides: x = 8 + 3. Thus, x = 11. The correct answer is 11.

Solve the equation 35=5m

Answer explanation

To solve the equation 35=5m, divide both sides by 5. This gives m=35/5, which simplifies to m=7. Therefore, the correct answer is 7.

Solve the equation 23=r-14

Answer explanation

To solve 23 = r - 14, add 14 to both sides: 23 + 14 = r, which simplifies to r = 37. Therefore, the correct answer is 37.

Solve the equation V-35=17

Answer explanation

To solve V-35=17, add 35 to both sides: V = 17 + 35. This simplifies to V = 52. The correct answer is 52.