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Nihao Culminating

Total questions: 45

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

What is (4/9)-(1/15)?

a)

2/5

b)

17/45

c)

1/36

d)

23/45

2.
Solve this problem:
Beth had 3 and 1/4 cups of milk. She used 1 and 3/4 cups of the milk to bake a cake. How many cups of milk does Beth have left?
a)
1 and 6/7
b)
5 and 11/16
c)
5
d)
1 and 1/2
3.
Two-thirds of the students in a class are wearing blue jeans. Two-sixths of the students who are wearing blue jeans are also wearing red shirts. What fraction of the students in the class are wearing blue jeans and red shirts?
What operation do you use to solve this problem?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
4.
Solve this problem:
There were 12 children at a party. Of those 12 children 3/4 of them had an apple. How many children had an apple?
a)
16
b)
11 and 1/4
c)
12 and 3/4
d)
9
5.
A dog's food bowl holds 2 cups of dog food.  Pete uses a scoop that holds 1/3 of a cup of dog food.  How many scoops will it take for Pete to fill the dog bowl?
What operation do you use to solve this problem?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
6.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
7.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

8.
Solve. 
-5x + 1.5 = -19.5
a)
-3.6
b)
4.2
c)
3.6
d)
-4.2
9.
Solve. 
-3x - 4.7 = 11.8
a)
2⅓
b)
-2⅓
c)
5.5
d)
-5.5
10.
Solve. 
3x - 4 - 5x = x + 4 + x
a)
-4
b)
2
c)
4
d)
-2
11.
Which of the following is not a linear equation?
a)
3x - 1 = -2x
b)
xy - 3 = x
c)
(x-5)⁄7 = (x-2)⁄3
d)
x + 2y = 10
12.
Identify two consecutive multiples of 3 whose sum is 57.
a)
24 and 33
b)
27 and 30
c)
21 and 36
d)
None of the above
13.

What is the value of x in -4x=2/5(-x+10)

a)

-10/9

b)

-9/10

c)

9/10

d)

10/9

14.

The coefficient of f in the expression 3 - 4f + 6t is:

a)

3

b)

4

c)

6

d)

-4

15.

Select the mathematical statement for the following equation. 1/2d + 14 = 21

a)

One half a number increased by four is twenty-one

b)

Twice a number increased by four is twenty-one

c)

One half a number increased by fourteen is twenty-one

d)

One half a number decreased by fourteen is twenty-one

16.

Select the mathematical statement for the following equation. x + (x+2) + (x +4) + (x +6) =50

a)

The sum of four consecutive even integers is fifty

b)

The sum of four consecutive odd integers is fifty

c)

The sum of five consecutive even integers is fifty

d)

The sum of four consecutive integers is fifty

17.

Select the equation for the mathematical statements.

Steven has some money. If he spends $13.00, then he will have 1/3 of the amount he started with.

a)

m+13= 1/3 +m

b)

m -13 =m

c)

m -13 = 1/3m

d)

m +13 = 1/3m

18.

Select the equation for the mathematical statements.

The sum of a number squared and six less than twice the number is one hundred four

a)

n2 + 2n -5 = 104

b)

n2 + 2n - 6 = 104

c)

n + 2n -5 = 104

d)

n2 + 2n +6 = 104

19.
GCF of: 
56 and 49
a)
14
b)
2
c)
8
d)
7
20.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
21.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
22.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
23.

The area of the trapezoid is (a)   square units.

24.

What is the area of the deck surrounding the pool?

a)

66 square units

b)

21 square units

c)

24 square units

d)

45 square units

25.

3 corners of a rectangle are located at (2,2), (2,-4), and (-5,-4). What are the coordinates of the 4th corner?

a)

(-5,8)

b)

(5,-2)

c)

(-5,2)

d)

(2,-5)

26.

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

27.

Which triangles has an area of 22.5 square units?

Select all that apply.

a)
b)
c)
d)
28.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
29.

If a rectangular prism's volume is 420cm3. The prism has a length of 12cm, and width of 7cm, what is height of the rectangular prism?

a)

12cm

b)

5cm

c)

4cm

d)

84cm

30.

What is the total volume of the figure?

a)

150 in.3

b)

120 in.3

c)

180 in.3

d)

30 in.3

31.

What is the volume of this figure?

a)

90 ft3

b)

900 ft3

c)

87 ft3

d)

97 ft3

32.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
33.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
34.
Find the volume to the nearest whole number using 3.14 instead of Pi.
a)
151 ft3
b)
152 ft3
c)
150 ft3
d)
150.72 ft3
35.
(x+4)2
a)
x2+16
b)
x2-16
c)
x2+8x+16
d)
x2+8x-16
36.

(7r-6)(7r+6)

a)

49r2+36

b)

49r2-36

c)

49r2+84r+36

d)

49r2+42r+36

37.
(-7y-6x3)(-7y-6x3)
a)
36x6+84x3y+49y2
b)
36x9+84x3y+49y2
c)
36x6-49y2
d)
-36x6-84x3y-49y2
38.
(2u-4v)2
a)
4u2-8uv+16v2
b)
4u2-16uv+16v2
c)
4u2-16v2
d)
4u2+8uv+16v2
39.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
40.

Simplify the expression.

(6b3 + 6 - b4) - (8b3 - 6b4 + 2)

a)

4b4 - 2b3 + 7

b)

5b4 - 2b3 + 4

c)

b4 - 2b3 + 7

d)

5b4 - 2b3 + 7

41.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
42.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
43.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
44.
y⁻¹¹⋅y⁵
a)
1⁄y⁶
b)
y⁶
c)
-y⁶
d)
-1⁄y⁶
45.
Solve (hint: there's more than 1 law you must obey)
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8