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Course 6/7 mid-year review

Total questions: 50

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

The temperature at 6:00 pm was 15°C. The temperature dropped 2°C per hour. What was the temperature at 4:00 am?

a)

-10°C

b)

5°C

c)

-5°C

d)

10°C

2.

What is the absolute value of: ∣ -3 ∣

a)

3

b)

-3

c)

0

d)

9

3.

What is the simplified answer for the ratio 24 messages : 10 messages?

a)

8:5

b)

4:5

c)

6:5

d)

12:5

4.

Find the product: 8 (-4)

a)

24

b)

-16

c)

-32

d)

-36

5.

John joined a health club. He paid a monthly membership fee of $29.99 that covers all the club's services except for use of the racquetball court. John paid $3.75 each time he used the racquetball court. For the first month at the health club, John paid a total of $63.74. How many times did John use the racquetball court?

a)

8 times

b)

9 times

c)

10 times

d)

11 times

6.

Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.

a)

Inequality: x - 1.5 ≤ 14.5 answer: x ≤ 16

b)

inequality: 14.5 ≥ x - 1.5 answer: 16 ≥ x

c)

inequality: x + 1.5 ≥ 14.5 answer: x ≥ 13

d)

inequality: x + 1.5 ≤ 14.5 answer: x ≤ 13

7.

Evaluate the expression if x = -3 and y = 5.


y - 2x

a)

9

b)

10

c)

11

d)

12

8.

Evaluate the expression if x = -3 and y = 5.


-17 - y²

a)

-42

b)

-18

c)

-22

d)

-13

9.

Divide:


− 24 ÷ − 8

a)

6

b)

− 3

c)

3

d)

− 4

10.

Solve:


3k - 2 = 10

a)

k = 4

b)

k = 6

c)

k = 2

d)

k = 8

11.

Solve:


3 (x + 1) = -24

a)

x = -8

b)

x = 8

c)

x = -9

d)

x = 9

12.

Write the ratio in simplest terms:


5 meters to 20 meters

a)

1 : 5

b)

4 : 1

c)

1 : 4

d)

5 : 4

13.
A submarine was thirty-five feet below the surface of the water and descended an additional twenty-nine and a half feet. Eventually, the submarine ascended sixty feet toward the surface of the water. What is the location of the submarine in the water?
a)
-4 feet below the surface of the water
b)
-4.5 feet below the surface of the water
c)
-54.5 feet below the surface of the water
d)
-66 feet below the surface of the water
14.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
15.
Which one of these is in order from least to greatest?
a)
2.4 x 102,  3.6 x 10-2 ,  6.9x 10-3 ,  
b)
 6.9x 10-3 , 3.6 x 10-2,  2.4 x 102
16.
Select the correct answer.
10 - 2 is the same as:
a)
-1/10and 0.02
b)
-1/10and -0.02
c)
1/10and -0.01
d)
1/10and 0.01
17.
Which of the following is a perfect square?
a)
39
b)
50
c)
6
d)
81
18.
Which power of ten is equivalent to 1 ? 
a)
101
b)
10-1
c)
100
d)
10-2
19.

Which of the following values satisfy the inequality shown? You must select all that apply.

a)

4

b)

-1

c)

12

d)

-5

e)

0

20.

Which graph represents the solution set to this inequality?

9 ≤ f +3

a)
b)
c)
d)
21.

What is the solution to

35 + 5p ≤ 75

a)

p ≤ 5

b)

p ≥ 8

c)

p ≤ 8

d)

p ≤ 40

22.

Solve

t =

a)

-275

b)

-125

c)

125

d)

275

23.

What is the value of x in the representation below?

x=

a)

3

b)

7

c)

-3

d)

-7

24.

Evaluate the expression if

a = 13, b = 3, and c = 6

a)

-97

b)

59

c)

137

d)

-19

25.
a)
|10| = 10
b)
|-10| = 10
c)
|-10| = -10
d)
-|10| = 10
26.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

27.

When do you flip the inequality symbol when solving?

a)

When you sing your song

b)

When you multiply or divide by a negative number

c)

When you solve for "x"

d)

Always

28.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
29.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
30.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
31.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
32.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
33.

Which is the decimal for 4/5?

a)

,08

b)

.45

c)

.8

d)

4.5

34.

Which is the fraction for .21?

a)

1/21

b)

21/100

c)

21/10

d)

21/1

35.

Percent is always out of

a)

10

b)

100

c)

1000

d)

10,000

36.

Which is the fraction for 33%?

a)

33/1

b)

33/10

c)

1/3

d)

33/100

37.

Which is the percent for 1.67

a)

167%

b)

.0167%

c)

16.7%

d)

1670%

38.

Which of the following is in ascending order?

a)

.8, 2/3, .67, 70%

b)

70%, 2/3, .67, .8

c)

2/3, .67, 70%, .8

d)

.67, .8, 2/3, 70%

39.

Which of the following is in descending order?

a)

3/4, 85%, .71, 4/5

b)

85%, 3/4, .71, 4/5

c)

85%, 4/5, 3/4, .71

d)

.71, 85%, 4/5, 3/4

40.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
41.
Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?
a)
4/8
b)
5/8
c)
3/4
d)
7/8
42.
a)
8  1/35
b)
8  12/35
c)
9
d)
8  4/15
43.
Find the product.
a)
3/50
b)
30/5
c)
6
d)
1  1/5
44.
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut?
a)
13
b)
6
c)
9
d)
This is not possible.
45.
This model matches which equation?
a)
1/3 x 2/4 = 2/12
b)
2 x 1 = 2
c)
2/3 x 1/4 x = 2/12
d)
1/2 x 2/5 = 2/10
46.
What is the product in the following model?
a)
4/5
b)
2/3
c)
8/15
47.
Which problem could be modeled with this picture?
a)
Joe purchased four pizzas. Each pizza had three slices. He ate 6 slices.
b)
Mary bought ⅓ of a pizza. She ate 6 helpings.
c)
Val needed ⅔ of a pizza for each friend. She had four friends.
d)
Molly made four cakes. Each friend received ⅔ of a cake. She was able to feed 6 friends.
48.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
49.
Which addition equation matches the problem modeled below?
a)
-6 + (-9) = 3
b)
-6 + 9 = 3
c)
-6 + 3 = 9
d)
9 + (-3) = -6
50.
a)
3 × (-2) = 6
b)
3 × (-2) = -6
c)
3 × 2 = 6
d)
-3 × (-2) = -6