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Knox 7th Grade Honors Math Year Review

Total questions: 38

Worksheet time: 2hrs 28mins

Name
Class
Date
1.

-w - (-4w - 3) + 8w - (-7)

a)

-3w + 4

b)

3w + 10

c)

-11w + 10

d)

11w + 4

e)

11w + 10

2.

The only transformation that does NOT preserve congruency is a...

a)

Translation

b)

Dilation

c)

Reflection

d)

Rotation

3.

-(-4x - 12) ≥\ge 5(4x - 4)

a)

x ≤\le -2

b)

x ≥\ge 2

c)

x ≤\le 2

d)

x ≥\ge -2

4.

Which of the following represents a proportional relationship? Choose all that apply.

a)
b)

y = -3x + 4

c)

d)

Mr. Lloyd has 12 pencils. He finds 2 pencils each day.

5.

Does this represent y as a function of x?

(-2, 1) (-3, 1) (-4, 1) (-5, 1) (-2, 1)

a)

Yes, because every output has exactly one input

b)

No, because (-2, 1) cannot repeat

c)

Yes, because each x-value has exactly one y-value

d)

No, because the y-values repeat.

6.

Find the equation of the line that passes through the points (8, 6) and (16, 11).

a)

y = 0.625x

b)

y = 85\frac{8}{5} x - 345\frac{34}{5}

c)

y = 58\frac{5}{8} x + 1

d)

m = 0.625

7.

What is the equation of the graph?



(a)  

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

It is Rational

b)

It is not Irrational

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
13.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
14.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
15.

What does "P" stand for in the surface area formulas?

a)

Perimeter of lateral faces

b)

Parallel

c)

Perimeter of the Base

d)

Pi

16.

What does "B" stand for in lateral area and surface area formulas?

a)

length of base

b)

area of base

c)

perimeter of base

17.

Find the lateral surface area of the following shape:

a)

132

b)

220

c)

64

d)

176

18.

The following graph shows how far a car has travelled over a period of time:

How far will the car have travelled in 3 hours?

a)

150km

b)

250km

c)

50km

d)

100km

e)

200km

19.

A taxi company charges a fixed cost for using the taxi, plus a cost per kilometre travelled.

HOW MUCH IS THE FIXED COST OF THE TAXI FARE?

a)

$4

b)

$3

c)

2km

d)

0km

e)

$0

20.

A taxi company charges a fixed cost for using the taxi, plus a cost per kilometre travelled.

HOW MUCH DOES IT COST PER KM TRAVELLED?

a)

$1

b)

$0.50

c)

$3

d)

$2

e)

$0

21.

Lucia is organising a barbeque. She goes to the butchers and is given the following graph showing the cost of sausages:

How much does each extra sausage cost?

a)

$0.50

b)

$2

c)

$1.50

d)

$1

e)

$4

22.
Determine the slope from the table. 
a)
-2
b)
2
c)
-1/2
d)
1/2
23.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
24.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
25.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
26.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
27.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
28.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
29.
What type of correlation does this graph have?
a)
Negative 
b)
no association
c)
positive 
30.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
31.
What is the length of the missing side? *NOTE: side lengths of 10 and 12.
a)
15.6
b)
6.6
c)
44
d)
16
32.
if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
33.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
34.

Find the value of x if the  m∠1 = 11x − 9°m\angle1\ =\ 11x\ -\ 9\degree and the  m∠5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

35.

Rewrite the equation into slope-intercept form:

3x - 2y = 4

(a)  

36.

Rewrite the equation into slope-intercept form:

12x - y = -3

(a)  

37.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
38.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)

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