AnswersAZ-Algebra 2A MA301Cumulative Exam

Cumulative Exam — Cumulative exam Answers

50 verified answers1 views
1
Free Preview

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

A
Three-halves
Option A
B
Nine-fourths
Option B
C
6
D
9
2
Free Preview

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

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

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
4

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
5

Which equation represents a linear function?

A
y – 2 = –5(x – 2)
B
x + 7 = –4(x + 8)
C
y – 3 = y(x + 4)
D
y + 9 = x(x – 1)
6

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
7

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

A
–16 + 37i
B
12 – 28i
C
16 – 37i
D
37 + 16i
8

Which expression is equivalent to –6x3 • x • y2 • y6?

A
mc010-1.jpg
Option A
B
mc010-2.jpg
Option B
C
mc010-3.jpg
Option C
D
mc010-4.jpg
Option D
9

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
10

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±1
Option C
D
and x = ±i
Option D
11

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
12

For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
13

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
14

The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

A
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (3) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 3 (1) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (one-third) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts one-third (1) Superscript n minus 1
Option D
15

If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
16

Which equation could be used to calculate the sum of the geometric series?

Question illustration
A
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Option A
B
S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction
Option B
C
S = StartFraction one-third Over (1 minus two-thirds) EndFraction
Option C
D
S = StartFraction two-thirds Over (1 minus one-third) EndFraction
Option D
17

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

A
On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2)
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5).
Option C
D
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Option D
18

The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. How many roots of f(x) are rational numbers?

Question illustration
A
0
B
1
C
2
D
3
19

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
20

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5

Did you find these answers helpful?

More from this Course

RC
25 verified answers

Cumulative Exam