Download Units 1-2 Cumulative Test Sample Items Answer Section

Units 1-2 Cumulative Test Sample Items
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Match the function rule with the graph of the function.
____
1.
y
a.
–5
–4
–3
–2
20
20
16
16
12
12
8
8
4
4
–1
–4
____
2.
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–4
–8
–8
–12
–16
–16
–20
–20
y
–4
–5
–12
b.
–5
y
c.
20
16
16
12
12
8
8
4
4
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
20
–1
–4
1
–5
–4
–3
–2
–1
–4
–8
–8
–12
–12
–16
–16
–20
–20
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Short Answer
Find the balance in the account.
3. $1,400 principal earning 3%, compounded annually, after 12 years
4. $2,400 principal earning 1%, compounded semi-annually, after 6 years
5. Find the distance from M(–3, 2) to N(4, 3). If necessary, round to the nearest tenth.
y
5
4
N
3
M
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
6. Find a solution to the following system of equations.
Solve the system of linear inequalities by graphing.
7.
8. Identify the initial amount a and the growth factor b in the exponential function.
9. Suppose a laboratory has a 54 g sample of polonium-210.The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 1104 days?
b. How much polonium is in the sample 1104 days later?
Simplify the product.
10. 2n(n2 + 3n + 4)
11. Suppose the population of a town is 9,000 and is growing 1% each year.
a. Write an equation to model the population growth.
b. Predict the population after 11 years.
12. What is the solution of the system of equations?
y = –5x + 2
y = –3x – 10
Simplify the radical expression.
13.
14.
Find the midpoint of each segment with the given endpoints.
15. G(–4, 13) and H(10, –1)
Simplify the product using FOIL.
16. (3x – 7)(3x – 5)
17. Evaluate
for x = –2.
18. Evaluate
for x = –3.
Find the square.
19. (2x – 6)2
20. A boat costs $18,350 and decreases in value by 12% per year. How much will the boat be worth after 11
years?
Other
21. In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(1, –7), C(8, –1), and D(2, 6).Then
demonstrate that ABCD is a rectangle.
Units 1-2 Cumulative Test Sample Items
Answer Section
MULTIPLE CHOICE
1. B
2. A
SHORT ANSWER
3.
4.
5.
6.
7.
$1,996.07
$2,548.03
7.1
(4, –3)
y
4
2
–4
O
–2
2
4
x
–2
–4
8. 530, 5.2
9. 8; 0.21 g
10. 2n3 + 6n2 + 8n
11.
12. (6, –28)
13.
14.
15.
16.
17.
18.
19.
20.
OTHER
(3, 6)
9x2 – 36x + 35
7
–16
4x2 – 24x + 36
$4,497.23
; about 10,041 people
y
10
D
5
–10
A–5
5
C10 x
–5
B
–10
21.
Answers may vary. Sample:
7
slope of
is 
6
6
slope of
is
7
7
slope of
is 
6
6
slope of
is
7
, so ABCD is a parallelogram.
are right angles.
ABCD is a rectangle.