Question

Carlo recycles 8 glass bottles every week. Which expression shows the total number of glass bottles he recycles in w weeks?

8 + w
8 + 8w
8w
w over 8
Question 3(Multiple Choice Worth 1 points)
(07.03 LC)

What is the solution to the equation x + 9.5 = 27.5?

x = 2.9
x = 18
x = 20
x = 37
Question 4 (Fill-In-The-Blank Worth 1 points)
(07.04 LC)

If 9x = 63, then x = ___. (Only input whole number)

Numerical Answers Expected!

Answer for Blank 1:


Question 5(Multiple Choice Worth 1 points)
(07.04 MC)

What is the solution to the equation 1 over 21 multiplied by x is equal to 1 over 7?

x = 3
x = 14
x = 28
x = 147
Question 6(Multiple Choice Worth 1 points)
(07.02 MC)

Which expression represents the value, in dollars, of a certain number of quarters, q, and nickels, n?

0.30qn
0.30q + n
0.25q + 0.05n
0.05q + 0.25n
Question 7(Multiple Choice Worth 1 points)
(07.06 MC)

A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

Number line graph with closed circle on 120 and shading to the right
Number line graph with closed circle on 90 and shading to the right.
Number line graph with closed circle on 150 and shading to the right
Number line graph with closed circle on 30 and shading to the right.
Question 8(Multiple Choice Worth 1 points)
(07.08 MC)

A store sold 60 copies of a magazine for $240. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine?

y = 3x; (1, 3), (2, 6), (3, 9)
y = 4x; (1, 4), (2, 8), (3, 12)
y = 5x; (1, 5), (2, 10), (3, 15)
y = 6x; (1, 6), (2, 12), (3, 18)
Question 9(Multiple Choice Worth 1 points)
(07.03 MC)

Aura has $71 to spend. She buys grocery for $27.58 and a wallet for $26.13. Aura buys a pair of bangles with the remaining money. How much does Aura spend buying a pair of bangles?

$17.29
$43.42
$44.87
$53.71
Question 10(Multiple Choice Worth 1 points)
(07.01 MC)

Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers?

[Use the inequality 0.35x + 0.99y + 0.59 ≤ 4]

Yes, because the total will be $3.27
Yes, because the total will be $1.93
No, because the total will be $4.27
No, because the total will be $5.93

Answer 1

1 is 8w.
2 is X = 18.
3 is X = 7.
4 is X = 3.
5 is 0.25q + 0.05n.
6 is D.
7 is B.
8 is 17.29.

Answer 2

ANSWER TO QUESTION 1

We were given that, Carlo recycles 8 glass bottles every week.

That means in 2 weeks, Carlo will recycle,



`8 * 2 = 16 \: glass \: bottles`


in 3 weeks time, Carlo will recycle,


`8 * 3 = 24 \: glass \: bottles`


Therefore w weeks time, Carlo will recycle,


`8 * w = 8w \: \: \: glass \: \: bottles.`


The correct answer is C.


ANSWER TO QUESTION 3.


We want to solve the linear equation,


`x + 9.5 = 27.5`

This means we need to isolate x, so that it will be on one side of the equation.


To do that, we must first add the additive inverse of

`9.5`
to both sides of the equation.


This implies that,


`x + 9.5 + - 9.5 = 27.5 + - 9.5`

This gives us,


`x + 9.5 - 9.5 = 27.5 - 9.5`



This simplifies to,



`x + 0= 18`


Therefore,


`x = 18`
The correct answer is B.



ANSWER TO QUESTION 4.



The given linear equation is

`9x = 63`


We need to make x the subject, by multiplying both sides of the equation by multiplicative inverse or the reciprocal of 9.



This implies that,


`(1)/(9) * 9x = (1)/(9) * 63`



We simplify to obtain,



`x = 7`


Therefore you enter the whole number 7, in the blank space provided.


ANSWER TO QUESTION 5.

We want to find the numerical solution to

`(1)/(21) x = (1)/(7)`


Clear the fraction by multiplying through by the least common multiple of 7 and 21 which is 21.



This implies that,




`21 * (1)/(21) x = (1)/(7) * 21`



This simplifies to give us,


`x = 3`

The correct answer is A.


ANSWER TO QUESTION 6


We want to convert

`q`
quarters and

`n`
nickels to dollars.


Recall that,


`1 \: dollar = 4 \: \: quarters`



`\Rightarrow \: (1)/(4) dollars = 1 \: quarters`



`\Rightarrow \: 0.25q \: \: dollars = q \: quarters`



Also,


`1 \: \: dollar = 20 \: \: nickels`




`(1)/(20) \: \: dollar = 1\: \: nickel`



`0.05n\: \: dollars = n\: \: nickels`


This implies that,


`q \: \: quarters \: and \: n \: \: nickels =( 0.25q + 0.05n) \: dollars`


The correct answer is C.




ANSWER TO QUESTION 7.



We were told that the students must collect at least $120.


If

`x`
represents the dollars the students must collect for the fair, then write the inequality,


`x \geqslant 120`

If the students have already collected $30.

Then the amount remaining for the students to collect is at least $90.

The correct answer is B.


See graph in attachment.



ANSWER TO QUESTION 8

We were told that the store sold 60 copies of a magazine for $240. This means that,

`each \: copy = (240)/(60)`



`each \: copy = 4 \: \: dollars`



This implies that,

`x`
copies will cost,

`4x \: \: dollars`

Therefore the equation that best represents the price, in dollars,

is

`y = 4x`
and the ordered pairs


`(1,4),(2,8),(3,12)`

The correct answer is B.



ANSWER TO QUESTION 9






The total amount of money Aura has is $71.


The total money spent

`= 27.58 + 26.13 \: \: dollars`



`= 53.71 \: \: dollars`



The amount remaining


`= 71 - 53.71 = 17.29 \: dollars`


Therefore Aura spent $17.29 in buying a pair of shoes.


ANSWER TO QUESTION 10

The inequality that models Minni's situation is



`0.35x + 0.99y + 0.59 \leqslant 4`


Whether Minni can buy 2 stickers and 2 erasers or not, we need to substitute

`x = 2 \: \: and \: \: y = 2`
in to the inequality.

If the two values satisfy the inequality, then it is possible.



`0.35(2) + 0.99(2) + 0.59 \leqslant 4`


This gives us,
.

`0.7 + 1.98+ 0.59 \leqslant 4`



`3.27 \leqslant 4`


The above statement is true, therefore it is possible.


The correct answer is A.