AnswersAISD Algebra II A Credit Recovery 2026-2027Factoring Trinomials: a = 1 (Continued)

Factoring Trinomials: a = 1 (Continued) — 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.

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A
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D
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Solve the system of equations by finding the reduced row-echelon form of the augmented matirix for the system of equations.a.(-3,7,3)c.(-9,1,-3)b.(1,1,-9)d.(3,7,-3)

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A
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B
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C
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D
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The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

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m
Option A
B
m
Option B
C
m
Option C
D
m
Option D
4

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

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A
k Superscript one-third
Option A
B
k Superscript one-half
Option B
C
k Superscript two-thirds
Option C
D
k Superscript three-halves
Option D
5

Which is a factor of 6x2 + x − 7?

A
x + 1
B
2x + 1
C
6x + 7
D
3x + 7
6

Write the augmented matrix for each system of equations.a.c.b.d.

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A
B
B
C
C
D
D
7

Which expression is equivalent to ?

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A
Negative 4 x Superscript 4 Baseline y Superscript 6
Option A
B
Negative 8 x Superscript 4 Baseline y Superscript 6
Option B
C
StartFraction 4 x Superscript 4 Baseline Over y Superscript 6 EndFraction
Option C
D
StartFraction 8 x Superscript 4 Baseline Over y Superscript 6 Baseline EndFraction
Option D
8

If x is a positive integer, which expression is equivalent to ? Assume .

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A
RootIndex 20 StartRoot x Superscript 7 EndRoot
Option A
B
x (RootIndex 20 StartRoot x cubed EndRoot)
Option B
C
StartFraction RootIndex 6 StartRoot x Superscript 5 Baseline EndRoot Over x squared EndFraction
Option C
D
x cubed (RootIndex 6 StartRoot x Superscript 5 Baseline EndRoot)
Option D
9

What is the following product? Assume

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A
6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option A
B
6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option B
C
6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot
Option C
D
3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option D
10

Which classification describes the following system of equations?

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A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
11

Rene is designing a satellite that is the shape of a parabola that opens upward with a diameter of 8 in. and a depth of 2 in. The feed antenna focuses the incoming radio waves. At what point should the feed antenna be placed?

A
(–8, 0)
B
(–2, 0)
C
(0, 2)
D
(0, 8)
12

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

A
1.9 s
B
2.4 s
C
9.7 s
D
40.7 s
13

Use row reduction to solve the system of equations.

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Answer not available
14

The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7

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A
41.7 ft
B
49.7 ft
C
97.4 ft
D
115.3 ft
15

What is the solution of ?

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A
x = –17
B
x = 13
C
x = 53
D
no solution
16

What is the following product?

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A
6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option A
B
6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
Option B
C
3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
Option C
D
2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option D
17

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

A
(–4, 1)
B
Option
Option B
C
Option
Option C
D
(6, 0)
18

Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?

A
The system can only be consistent and independent.
B
The system can be either inconsistent and independent or consistent and dependent.
C
The system can be either inconsistent and dependent or consistent and independent.
D
The system can only be inconsistent and dependent.
19

What is the following quotient?

Question illustration
A
2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
Option A
B
2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
Option B
C
3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
Option C
D
3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
Option D
20

Which equation is an example of the commutative property of multiplication?

A
(4 + 2i) = (2i + 4)
B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)
D
(4 + 2i) = (4 + 2i + 0)

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