Cumulative Exam — Cumulative exam Answers

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Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
2
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What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
3

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
4

The reduced row-echelon form of the augmented matirx of a system of equations is given. Find the solution of the system.

Question illustration
A
(4,12,4)
B
(7,14,5)
C
(19,2,5)
D
(-11,22,5)
5

Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?

A
$19
B
$22
C
$28
D
$31
6

What is the vertex of the graph of f(x) = |x – 13| + 11?

A
(–11, 13)
B
(–13, 11)
C
(11, 13)
D
(13, 11)
7

What is the solution to the following system?

Question illustration
A
(2, 3, 4)
B
(4, 3, –2)
C
(4, 3, 2)
D
(6, 7, –2)
8

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
9

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels
10

What is the simplified form of the following expression?

Question illustration
A
2 StartRoot 2 EndRoot
Option A
B
5 StartRoot 2 EndRoot
Option B
C
9 StartRoot 2 EndRoot
Option C
D
15 StartRoot 2 EndRoot
Option D
11

Which graph represents the function g(x) = |x + 4| + 2?

A
Option
B
Option
C
Option
D
Option
12

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

Question illustration
A
(x + 2) and (x – 6)
B
(x + 6) and (x – 2)
C
(x + 2) and (x – 10)
D
(x + 10) and (x – 2)
13

What is the factored form of x2 – 6x – 16?

A
(x – 4)(x – 2)
B
(x + 4)(x – 2)
C
(x – 2)(x + 8)
D
(x – 8)(x + 2)
14

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
15

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
16

What is the simplified form of the following expression?

Question illustration
A
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
Option B
C
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction
Option D
17

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
18

What are the factors of 2x2 + 3x – 54? Select two options.

A
2x – 9
B
2x – 6
C
2x + 6
D
x – 6
E
x + 6
19

Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(–1.5, 0)
B
(0, –1.5)
C
(0, 1.5)
D
(1.5, 0)
20

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution

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