Cumulative Unit Assessment: Unit 7 and Unit 8
Class Information
School
City _____________________________________ State ___________
Teacher (Mathematics Class)
Student Information
Grade
First Name
Last Name
Date of Birth _____ (month) _____ (day) _____ (year)
Male ❒ Female ❒
Have you attended a Ramp-Up course since the beginning of the school year? Yes ❒ No ❒
How many years have you attended this school? _____ years
Do you usually speak English at home? Yes ❒ No ❒
Does anyone in your home usually speak a language other than English? Yes ❒ No ❒
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Cumulative Assessment (Units 7–8): Page 1 of 7
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399
Ramp-Up to Algebra
Part A
1.
A
B
C
D
2.
5.
Solve this equation for z:
6z + 30 = 0
–6
–5
5
6
25
2
B
–
5
2
C
–
1
2
D
3.
A
B
C
D
4.
6.
Solve this equation for y:
6y – 15 = –4y + 10
A
A
B
C
D
7.
A
B
C
D
5
2
8x2
7x2 – 1 + 2x2
3x2 + 5y2
4x2 – 1 + 5y2
What does 3a(5 – a) + 5(2a + b) equal for
all values of a and b?
25a – 3a2 + 5b
24a + 5b
14a + b
25a – a2 + 5b
4y 5 – 2 y 3
.
2y2
What did she write down?
Jane correctly simplified
2y7 – y5
2y5 – y3
2y3 – y
4y3 – 2y
–3(8y) can also be written as
5y
–5y
24y
–24y
8.
Which does 2 • 53 represent?
A
B
C
D
2•5+2•5+2•5
10 • 10 • 10
2•5•5•5
2 • 15
Tim correctly expanded out –2(4x – 3y).
What did he write down?
A
B
C
D
A
B
C
D
7x2 – 1 – 3x2 + 5y2 =
–2x + 5y
–8x + 6y
–8x – 6y
–8x – 3y
400 |
9.
Simplify m • p • m • p • m
using exponents.
A
(m • p)5
B
C
D
m3 • p2
3m • 2p
m3 + p2
Cumulative Assessment (Units 7–8): Page 2 of 7
© America’s
Choice, Inc.
Cumulative Unit Assessment: Unit 7 and Unit 8
10. (52 )
=
A
B
C
D
56
58
55
59
3
11.
13. Jenny wrote down the expression
3 + x – 5x2 – 1 – 2x2.
Which simplifies Jenny’s expression?
5 –2
can also be written as
11–1
A
1
2
5 • 111
B
52
111
–
5
111
1
11
52
D
2 + x – 7x2
2 – 6x
–4x2
2x – 7x2
14. Maria writes down the number a and
works out that 8a + 12 = 2a + 8.
What is the value of a?
2
C
A
B
C
D
12. What is the missing side length?
A
2
B
2
5
C
10
3
D
–
2
3
15. The perimeter of this square is 40 cm.
?
2
4
A
B
C
D
© America’s
6
6
8
20
Choice, Inc.
What is the length of the dashed line?
A
B
20 cm
200
C
20
D
3200
Cumulative Assessment (Units 7–8): Page 3 of 7
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401
Ramp-Up to Algebra
Part B
18. Sylvia runs at 6 meters per second.
16. Dan had a length of rope 15 m long.
He cut 5 pieces to make jump ropes the
same length.
Which one of the following shows the
length of each jump rope?
A
B
15 × 5
15 – 5
C
D
15 ÷ 5
15 + 5
17.
What is the correct rule for d?
A
d=n+6
B
d=6
n
d=
6
d = 6n
C
D
Heidi is making a pattern with blocks.
There are 2 blocks in Step 1, and
10 blocks in Step 2.
Step 1
d is the distance in meters that Sylvia
has run after n seconds.
Step 2
19. Roz wants to change one million hours
into years.
Which one of the following calculations
should Roz use?
A
B
C
D
(1,000,000 × 24) × 365
(1,000,000 × 24) ÷ 365
(1,000,000 ÷ 24) × 365
(1,000,000 ÷ 24) ÷ 365
?
Step 3
Step 4
How many blocks will there be in Step 4?
A
B
C
D
20
26
36
40
402 |
Cumulative Assessment (Units 7–8): Page 4 of 7
© America’s
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Cumulative Unit Assessment: Unit 7 and Unit 8
22.
20.
1L
Diagram 1
Diagram 2
500 mL
Diagram 3
This jug has a scale with 1 cm
representing 100 mL of water.
Diagram 4
d is the depth of water in the cylinder
in centimeters.
What is the rule to find the number
of small triangles, T, in each diagram,
where n is the diagram number?
T=n+3
T = 3n
T = n2
T = n3
A
B
C
D
V is the volume of water in the jug in mL.
Which rule gives the volume of water
in the jug in mL?
A
B
C
D
V = d + 100
d = 100V
d = 100 + V
V = 100d
21. On a hike, David can walk 4 kilometers
in an hour.
He wants to work out how many hours
it will take him to hike 13 kilometers.
Which one of the following calculations
should David do?
A
B
C
D
© America’s
4 × 13
4 ÷ 13
13 ÷ 4
1
of 4
13
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Cumulative Assessment (Units 7–8): Page 5 of 7
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403
Ramp-Up to Algebra
23. A person’s maximum recommended
25. Ferry fares from Newport are
pulse rate, R, varies with age
in years, G.
shown below.
Sections
Traveled (s)
A simple rule is R = 220 – G.
Fare ( f )
Which table shows this relationship for
typical human ages?
A
B
C
D
G
20
30
40
50
R
200
190
180
170
G
20
30
40
50
R
240
250
260
270
G
200
190
180
170
R
20
30
40
50
G
240
250
260
270
R
20
30
40
50
A
B
C
D
4
5
$3.00 $3.50 $4.00 $4.50 $5.00
f = 300s
f = 100s
f = 2.5 + 0.5s
f = 250 + 0.5s
temperature is measured in degrees
Kelvin (K).
The following steps convert a
temperature F in degrees Fahrenheit
into a temperature K.
1. Subtract 32 from F.
2. Divide the result by 1.8.
3. Add 273.15 to the result.
Which expression gives the total cost in
dollars of buying p pizzas and s cans
of soda?
404 |
3
26. In some branches of science,
costs $1 per can.
p+7+s+1
p + 7s
p+s
7p + s
2
If f is the cost of the fare shown in
dollars, and s is the number of sections
traveled, then
24. Papa’s Pizzas cost $7 each and soda
A
B
C
D
1
What is the correct rule for converting
F into K?
A
K=
F – 32 + 273.15
1.8
B
K=
F – 32
+ 273.15
1.8
C
K=
32 – F
+ 273.15
1.8
D
K=F–
32
+ 273.15
1.8
Cumulative Assessment (Units 7–8): Page 6 of 7
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Cumulative Unit Assessment: Unit 7 and Unit 8
27.
The table shows how the cost, c, of
a graduation dinner depends on the
number of people, n, attending.
n
c
10
$600
25
$1200
50
$2200
30. m = Murray’s height in cm
h = Helen’s height in cm
Murray’s height now is 150 cm.
Murray writes down four rules for
Helen’s height now.
100
$4200
Only one rule is possible.
Which equation describes the
relationship in the table?
c = 20n + 400
c = 30n + 300
c = 40n + 200
c = 50n + 100
A
B
C
D
Which rule is possible?
A
B
C
D
2t + 20
= 120 , what is
5
the value of t?
h = –m + 250
2
h = m – 100
3
h = m – 250
4
h = – m + 100
5
28. In the problem
250
290
310
1160
A
B
C
D
29. Water flows over the Niagara Falls at a
rate of 2832 cubic meters per second.
What is this rate in cubic meters
per day?
A
B
C
D
© America’s
2832 × 60 × 24
2832 × 60 × 60 × 24
60
2832 ×
24
2832 ×
60 × 60
24
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Cumulative Assessment (Units 7–8): Page 7 of 7
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