AnswersTX-Algebra IICumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which are differences of perfect cubes? Select two options.9a3- 27125a12 - 72216a6 - 27y38a15 - 27225a3 - 216

A
9a3- 27
B
125a12 - 72
C
216a6 - 27y3
D
8a15 - 27
E
225a3 - 216
2
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Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

A
3
B
18
C
25
D
125
3

Which polynomial is prime?

A
x4 + 3x2 – x2 – 3
B
x4 – 3x2 – x2 + 3
C
3x2 + x – 6x – 2
D
3x2 + x – 6x + 3
4

Subtract from .

Question illustration
A
mc011-3.jpg
Option A
B
mc011-4.jpg
Option B
C
mc011-5.jpg
Option C
D
mc011-6.jpg
Option D
5

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

A
0.05 s
B
2.03 s
C
3.80 s
D
3.70 s
6

If f(x) is an odd function, which statement about the graph of f(x) must be true?

A
It has rotational symmetry about the origin.
B
It has line symmetry about the line y = –x.
C
It has line symmetry about the y-axis.
D
It has line symmetry about the x-axis.
7

What is the product?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
8

What is the solution set of the quadratic inequality

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
9

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
10

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
11

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

A
11.2 m
B
15.8 m
C
22.4 m
D
44.8 m
12

Which expression is equivalent to (4 + 7i)(3 + 4i)?

A
–16 + 37i
B
12 – 28i
C
16 – 37i
D
37 + 16i
13

Which expression is equivalent to 2x2 – 2x + 7?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
14

Which equation could generate the curve in the graph below?

Question illustration
A
y = 9x2 + 6x + 4
B
y = 6x2 – 12x – 6
C
y = 3x2 + 7x + 5
D
y = 2x2 + 8x + 8
15

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
16

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
17

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
18

It takes 2 painters 12 hours to paint the interior of a house. Assuming the amount of time it takes to paint the house is inversely related to the number of painters, how many hours will it take 6 painters to paint the house?

A
1 hour
B
3 hours
C
4 hours
D
8 hours
19

Solve the system of equations.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
20

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option A
B
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
Option B
C
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
Option C
D
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Option D

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