Eureka 16

Sasha starts the week with $50. Each week, she mows the lawn and does x chores. She earns $10 for mowing the lawn and $3 for each chore she does.

What expression represents the total amount of money Sasha earns by the end of 4 weeks if she does x chores each week?

• 50 + 4(10 + 3x)

• 50 + (10 + 3x)

• 90 + 12x

• 50 + (40 + x)

What is the equivalent expression for 6(2a + 9) - 5 after distributing and combining like terms?

• 12a + 49

• 12a + 54

• 6a + 4

• 6a + 44

After distributing and combining like terms, what is the simplified expression for 6w + 1/2(18w - 30)?

• 15w - 15

• 9w - 15

• 12w - 15

• 24w - 30

What is the equivalent expression for 9 + 7(3x + 4) after distributing and combining like terms?

• 9 + 21x + 28

• 37 + 21x

• 9 + 28 + 21x

• 37x + 21

After simplifying the expression 3/4(4x + 40) - 6, what is the result?

• 3x + 30 - 6

• 3x + 24

• 3/4x + 34

• 3x + 34 - 6

What is the simplified form of 2x + 3(4x - 5)?

• 2x + 12x - 15

• 14x - 15

• 2x + 12x + 15

• 14x + 15

Which expression is equivalent to 8(x + 3) + 5(2x + 6)?

• 8x + 10x + 24 + 30

• 18x + 54

• 8x + 10x + 30

• 13x + 33

Is Kayla correct in saying that the expressions 6 + 3(5 - x) and 21 - x are equivalent because they evaluate to the same number when x = 0?

• Yes, because when x = 0, both expressions equal 21.

• No, because when x = 0, the first expression equals 21 - 3x, which is not equivalent to 21 - x.

• Yes, because the distributive property makes both expressions equivalent for any value of x.

• No, because the expressions are not equivalent for values of x other than 0.

Is the expression ( x² ) equivalent to ( 2x )?

• Yes

• No

Is the expression 10x + 15x equivalent to 5x(2 + 3) ?

• Yes

• No