Question

Question 1(Multiple Choice Worth 1 points)

(07.03 MC)

Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf?

$4.66
$7.44
$11.78
$24.22
Question 2(Multiple Choice Worth 1 points)
(07.02 MC)

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2
Question 3(Multiple Choice Worth 1 points)
(07.06 MC)

A group of students must collect at least $150 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 30 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 180 and shading to the right.
Question 4(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
Question 5(Multiple Choice Worth 1 points)
(07.08 LC)

If y = 12x, which table shows the values of y for different values of x?


x 0 2 4
y 0 14 16

x 0 2 4
y 0 24 48

x 0 2 4
y 0 6 3

x 0 2 4
y 0 12 24
Question 6(Multiple Choice Worth 1 points)
(07.03 LC)

What is the solution to the equation x + 7.5 = 21.5?

x = 2.9
x = 7.8
x = 14
x = 29
Question 7(Multiple Choice Worth 1 points)
(07.04 MC)

What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?

x = 144
x = 30
x = 18
x = 4
Question 8 (Fill-In-The-Blank Worth 1 points)
(07.01 LC)

A set of numbers is shown below:

{3.1, 4.2, 7.2, 8.4, 12.2}

The number __ from the set will make the equation x + 2 = 6.2 true.

Answer for Blank 1:


Question 9(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 10(Multiple Choice Worth 1 points)
(07.07 LC)

If y is 12 times x, which equation shows the relationship between x and y?

y = 12x
x = 12y
x = 12 + y
y = 12 + x

Answer 1

1)11.78
2)3x-2
4)yes becouse the total will be 3.27
6)x=14
7)x=4
the last one )y=12x

Answer 2

1.$11.78

2.3x-2

3. Number line graph with closed circle on 120 and shading to the right. 4.yes ,because the total will be $3.27

5.x 0 2 4

and y 0 24 48

6.x= 14

7.x=4

8.4.2

9.y= 4x

10.y=12x

Explanation:

1.Lacey has total money for spend=$36

cost of 1 pair of sunglasse=$14.89

cost of a hat=$9.33

spend money =$14.89+$9.33=$24.22

Lacey has remaining money for buying scarf=$36-$24.22=$11.78

2.

If kim's age = x years

given that sam's age is 2 years less than 3 times kim's age

therefore the expression best shows sam's age is
`3x-2`

3. A group of students must collect at least $150 to organise a science fair.

they have already collected money=$30

now remaining money =$120

hence ,the graph is number line graph with closed circle on 120 closed circle and shading to the right which represents all remaining amounts of money.

4.Cost of a sticker=$0.35

Cost of an eraser=$0.99

Cost of pencil=$0.59

cost of 2 stickers =2*0.35=$0.70

cost of 2 erasers=2*0.99=$1.98

total cost including 2 stickers ,2 erasers and one pencil=$3.27

hence minni can buy 2 stickers and 2 erasesrs.

5. y= 12x

put x=0 in given expression y=12x then we get y=0

now put x=2 in this expression then y=24

and now put x=3 in this expression then we get y= 48.

6.x+7.5=21.5

x =21.5- 7.5=14

8.
`1/24*x=1/6`

x=24*1/6=4.

8.x+2=6.2

then x =6.2-4=4.2

hence answer is 4.2

9.A store sold copies of a magazine =60

cost of 60 copies of magazines =$240

hence , cost of magazines is four times the number of magazines .

therefore , the expression is y=
`y=4x`( if number of magazines x)

y=4x; (1,4),(2,8),(3,12)

10.y is 12 times x therefore the relation between x and y is
`y=12x`