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Algebra 1 - 2nd Semester Review (Spring
2014)*
Multiple Choice
Identify the letter of the choice that best completes the
statement or answers the question.
Simplify the expression.
1)
a
9)
(1 point)
a
10)
(1 point)
a
b
b
b
(1 point) A
scuba diver has a taut rope connecting the
dive boat to an anchor on the ocean floor. The rope is
140 feet long and the water is 40 feet deep. To the
nearest tenth of a foot, how far is the anchor from a
point directly below the boat?
a 134.2 ft
b 18,000 ft
Solve the inequality.
2)
(1 point)
11)
a
3)
ap
12)
(1 point)
a1
4)
b
(1 point)
b –1
>
5
33
(1 point) 2(b
ab
> 14
b
– 8) > 12
bb > 6
Write the number in scientific notation.
(1 point)
a
b
13)
(1 point) 8,670,000,000
a
5)
14)
(1 point)
a
6)
b
(1 point)
a
7)
(1 point)
a
8)
b
(1 point)
b
(1 point) Which
b
kind of function best models the data
in the table? Graph the data and write an equation to
model the data.
x
y
0
–1
1
–2
2
–3
3
–4
4
–5
a
b
y
y
6
6
4
4
2
2
–6 –4 –2
–2
2
4
6
x
–6 –4 –2
–2
–4
–4
–6
–6
linear; y = –x – 1
a (–4,
20)
2
2x + y = - 10
4 +6y = x- 8
4x
a (3, –4)
b (1, –12)
Factor the expression. Find factors of the LAST
number that + or - to give you middle term
quadratic; y = x2 – 21)
1
French club is sponsoring a bake sale. If
their goal is to raise at least $140, how many pastries
must they sell at $3.50 each in order to meet that
goal? Write and solve an inequality.
a
;
b
;
– x – 42
– 7)(x + 6) b (x – 7)(x – 6)
(1 point) x2
(1 point) The
22)
24)
(1 point)
a  4
–8
b
–6
–4
–2
0
2
4
6
a 3
3
4
–8
–6
–4
25)
+ 10d + 9
+ 9)(d + 1) b (d + 9)(d – 1)
– 49
(sqrt 1st term - sqrt last term)(sqrt 1st term + sqrt
last term)
(1 point) r2
a (r
8
b
(1 point) d2
a (d
Solve the inequality. Then graph your solution.
a
(1 point)
a
23)
16)
–2
– 7)(r + 9)
0
(1 point)
a
–8
–4
–2
0
2
4
6
4
6
– 7)(r + 7)
8
+ 11g – 35
– 5)(2g + 7) b (3g + 5)(2g – 7)
Solve the equation by using the Quadratic
Formula.
–8
–6
–4 Round
–2
0 to 2the 4nearest
6
8tenth if necessary.
b
–6
2
b (r
(1 point) 6g2
a (3g
17)
8)
(1 point) BONUS:
a (x
15)
b (6,
8)
8
Simplify the product.
18)
(1 point) 6x7(4x2
+ 6y3)
a 24x9 + 36x7y3 b 10x9 + 12x7y3
26)
27)
b
a=1
(1 point)
c = -3
19)
(1 point) *BONUS:
P(–10, 10) and R(2, 6)
b = 22
c = -3
a
Find the midpoint of each segment with the given
endpoints.
a=1
(1 point)
a
b
b = 22
Simplify the difference.
28)
– 4w – 8) – (2w2 + 3w – 6)
a 2w – 1w – 14
b 2w2 – 7w – 2
(1 point) (4w2
a 14
2
29)
(1 point) Factor
a 6(r
the expression completely:
.
+ 4)(r - 10)
b 4(r
Solve the equation. Then check your solution.
35)
(1 point)
31)
b
c
–8
5
b
–4
–2
0
2
4
6
8
–8
37)
Remember: You can NOT
(1 point)
have a radical in the denominator
(1 point)
2
1
b 121 2
a 3
33)
–6
Simplify the radical expression by rationalizing
the denominator.
c
Solve the equation. Then check your solution.
32)
real numbers that are greater than –6 and
less than 6
a –6 < x < 6
b –6  x  6
(1 point) all
(1 point)
a4
b1
Write a compound inequality that represents each
situation. Graph your solution.
36)
a
(1 point)
a –3
+ 3)(r + 5)
Simplify the radical expression.
30)
b2
(1 point) What
a
c 24
is the solution of the graphed system of
38)
equations?
b
the distance from H(2, 3) to K(4, –3). If
necessary, round to the nearest tenth.
(1 point) Find
y
4
3
2
a 7.1
b 40
c 5.1
d 6.3
1
–4
–3
–2
–1
–1
1
2
3
4
Simplify the product using FOIL.
forget to combine your middle terms.
x
–2
–3
39)
–4
a (-2,
34)
-2)
b (-2,
(1 point) What
(1 point)
a
2)
c (2,
-2)
is the x-value of the solution to this
system of equations?
Don’t
b
c
Simplify the expression. Write the answer using
scientific notation.
–6
–4
–
40)
(1 point)
a 1.6  10
b 6.3  10
17
c 6.3  10
17
47)
64
Find the square.
41)
Use This Equation: Plug
a² + 2ab + b²
(1 point)
in values for (am + b)²:
a
a
b
Write the number in standard notation.
48)
(1 point) *BONUS: 2x
a x < 7 or x > 5
–10 –8
43)
A bag contains 16 red checkers
and 16 black checkers. Anne removes 1 black
checker and 2 red checkers from the bag and does
not replace them. She then reaches into the bag and
selects a checker at random. What is the probability
that the checker is red?
b
Solve the compound inequality. Graph your
solution.
42)
(1 point) **BONUS:
–6
–4
(1 point) Simplify
–2
– 2 < –12 or 2x + 3 > 7
b
0
2
4
6
8
(1 point)
a 0.0907
b 0.907
x < –5 or x > 2
–5
10
49)–2
–4
–3
(1 point) What
–1
0
1
below?
is3 the
area
of the rectangle shown
4
5
Area = length * width
2
the sum.
(4u + 4u + 2) + (6u3 – 2u + 8)
3
a –2u3
2
– 2u2 + 4u – 10
b 10u3
+ 4u2 – 2u + 10
a
b
c
Find the length of the missing side. If necessary,
round to the nearest tenth.
50)
44)
(1 point) Write
the polynomial in standard form.
4g – g3 + 3g2 – 2
(1 point)
– 3g2 + 4g – 2 b –2 + 4g + 3g2 – g3
4g – 2 d –g3 + 3g2 + 4g – 2
a g3
c
5
c 3g3
– g2 +
14
a 14.9
b 361
Short Answer
Factor the polynomial.
45)
46)
+ 64w8
a 8w8(3w4 + 8)
b 8w7(3w5 + 8w)
51)
(1 point) The
interior angles of a triangle add up to
____________ °.
52)
(1 point) How
53)
(1 point) How
(1 point) 24w12
c 8(3w12
+ 8w8)
(1 point) Tina
can type at least 60 words per minute.
Write and graph an inequality to model this situation.
a
b
0
10
20
30
40
50
60
70
80
90 100 110
0
10
20
many degrees in a circle? __________°
many degrees in a straight line?
____________°
30 40 (150
60 What
70 80 is90
110
54)
point)
the100Pythagorean
Theorem?
_________________
55)
(1 point) A(n)
____________________ triangle
measures less than 90°.
56)
(1 point) A(n)
___________________ triangle
measures greater than 90°.
Algebra 1 - 2nd Semester Review (Spring 2014)*
Answer Section
MULTIPLE CHOICE
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
A
A
A
A
A
A
A
B
A
A
B
A
A
A
A
A
A
A
A
B
A
A
A
B
A
A
A
B
A
B
A
C
C
A
A
A
A
D
A
B
41)
42)
43)
44)
45)
46)
47)
48)
49)
50)
A
B
B
A
A
A
A
A
C
D
SHORT ANSWER
51)
52)
53)
54)
55)
56)
180
360
180
a² + b² = c²
Acute
Obtuse