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Q2 Review 6th Adv.

Total questions: 50

Worksheet time: 4hrs 10mins

Name
Class
Date
1.

Which list orders the integers from least to greatest?

a)

-5, 3, -2, l -4l

b)

-2, 3, l-4l, -5

c)

-5, -2, 3, l-4l

d)

-2, -5, 3, l-4l

2.
∣-5∣ _____ ∣5∣
a)
<
b)
>
c)
=
3.
What numbers have the absolute value of 1.5
a)
-1.5, 1.5, 3/2, -0.5
b)
-1,5, -3/2, 1.5, 3/2
c)
-1.5 and 0
4.
Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?
a)
( 5,5 )
b)
( 1,-1 )
c)
( -1,3 )
d)
( 2, -2 )
5.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

6.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
7.

What is the perimeter of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).

a)

13 units

b)

26 units

c)

42 units

d)

10 units

8.

A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)

a)

12:18

b)

3:2

c)

30:18

d)

18:7

9.

LEO has $30. He splits it with his sister in the ratio 3:2. How much money does Leo have left?

a)

$12

b)

$18

c)

$6

d)

$3

10.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

11.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the diagrams to answer.
a)
4
b)
30
c)
70
d)
40
12.
a)

Cheese = 28g

Toppings = 42g

b)

Cheese = 28g

Toppings = 40g

c)

Cheese = 24g

Toppings = 42g

d)

Cheese = 24g

Toppings = 40g

13.

88 students for 4 classes

How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

14.
25 pieces for $2.00 =
a)
 8 cents each
b)
$0.09 each
c)
$50 each
d)
$5 each
15.
275 feet in 10 seconds =
a)
27.5 feet per second
b)
2.75 feet per second
c)
275 feet per second
d)
2,750 feet per second
16.
3. The arena at the Berry Center holds 9,500 people.  During one of the graduation ceremonies, 95% of the seats were occupied.  How many people attended the ceremony?
a)
950
b)
8,550
c)
9,025
d)
9,500
17.
4. There are 60 girls and 90 boys in the sixth grade at a middle school. Of these students, 3 girls and 9 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
a)
15%
b)
5%
c)
10%
d)
8%
18.
5.  Pridgeon Stadium has a capacity of 11,000.  At the time of kickoff, 60% of the stadium was full. How many fans were in the stadium?
a)
5,500
b)
6,600
c)
660
d)
1,100
19.
8. 
12% of the cars that went through the car wash were blue. If 75 cars went through the car wash, how many of the cars were blue?
a)
900
b)
90
c)
0.09
d)
9
20.
9. There are 480 students in the band at Bridgeland Middle School.  If the band is 40% of the total number of students, how many total students are at Bridgeland Middle School?  Which proportion can be used to find the total number of students?
a)
A
b)
B
c)
C
d)
D
21.
10. Mr. Linh took his family out for dinner. The dinner cost $85. He always leaves a 20% tip.  Which proportion can be used to find the amount of tip Mr. Linh left?
a)
A
b)
B
c)
C
d)
D
22.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
23.

Solve the following:

2 x (3 + 8 ÷ 4)2

a)

16

b)

1.375

c)

4

d)

50

24.

 42÷(1523)42\div\left(15-2^3\right)  

a)

6

b)

4

c)

12

d)

14

25.

 32+12÷(63)×83^2+12\div\left(6-3\right)\times8  

a)

41

b)

51

c)

31

d)

32

26.
¼ ( 20n - 4)
a)
5n - 1
b)
5n - 4
c)
4n -2
d)
4n - 1
27.
⅓ ( 15y - 6)
a)
5y + 2
b)
10y - 2
c)
5y - 2
d)
12y - 2
28.

Use the distributive property to simplify this expression 1/2(4x+2) + 2x +3

a)

2x+1

b)

4x+4

c)

4x+4

d)

3x+2.5

29.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

30.

The number in front of a variable is called a...?

a)

Coefficient

b)

Constant

c)

Consumer

d)

Number

31.

What are the constants? Check all that apply

4x - 7 - 8x + 17

a)

-7

b)

7

c)

4

d)

-8

e)

17

32.

What are the coefficients? Check all that apply

4x - 7 - 8x + 17

a)

-7

b)

17

c)

4

d)

-8

e)

8

33.

Identify the like terms in the expression below. Choose all that apply.


6x - 9x - 11y + 14y

a)

6x and -9x

b)

6x and 9x

c)

11y and 14y

d)

-11y and 14y

34.

A square has a side length of (4x - 3) inches. Find an expression for the perimeter of the square. What is the constant in that expression?

a)

P = 16x - 3 Constant = -3

b)

P = 16x - 12 Constant = 12

c)

P = 16x - 12 Constant = -12

d)

P = 12x - 9 Constant = -9

35.

The length of a rectangle is 3 feet less than twice its width. Which algebraic expression represents the length of the rectangle?

a)

2w32w-3

b)

32w3-2w

c)

2 (w3)2\ \left(w-3\right)

d)

32w3-2w

36.

Rajesh spends $55.16 on g gallons of gasoline. Which algebraic expression represents the cost of a gallon of gas?

a)

 55.16g55.16-g  

b)

 55.16g\frac{55.16}{g}  

c)

 55.16 + g55.16\ +\ g  

d)

 g55.16\frac{g}{55.16}  

37.

Elena rents a car for the weekend. She is charged $35 a day +10 cents a mile. Which algebraic expression represents Elena's cost to rent the car for 3 days if she drives a total of m miles?

a)

3(35 +0.10m)3\left(35\ +0.10m\right)

b)

3(35)+10m3\left(35\right)+10m

c)

35+0.10m35+0.10m

d)

3(35)+0.10m3\left(35\right)+0.10m

38.

Create an expression to represent the following real-world word problem.

Five times Mike's age, m, increased by 9

a)

5(m + 9)

b)

9(5 + m)

c)

9m + 5

d)

5m + 9

39.

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

a)

40 - 35m

b)

40m - 35

c)

40m + 35

d)

40 + 35

40.

A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

a)

8h - 20

b)

8h + 20

c)

8 + 20

d)

8 - 20h

41.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
42.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
43.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

44.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

45.

Simplify the expression: 3(2x + 5) + 2(x - 4)

a)

8x + 7

b)

8x + 4

c)

5x + 23

d)

7x - 7

46.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
47.

The equation is shown. What FACTOR is missing from the equation?

30 + 12 = __(5 + 2)

a)

6

b)

8

c)

2

d)

4

48.
Simplify the expression:
5(p - 6)
a)
5p - 30
b)
5p - 5
c)
p - 30
d)
5p + 11
49.
Factor 8x-10
a)
2(4x-5)
b)
6(2x-4)
c)
2(4x+5)
d)
8(x+5)
50.
Factor 3x+27
a)
3(x+3)
b)
9(3x+9)
c)
3(x-3)
d)
3(x+9)