AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondTest

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1
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What is the product of and when g0?

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Option A
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Option B
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Option C
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2
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Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

A
2 x + z + 5 minus 6 z squared
Option A
B
2 x minus z minus 5 + 2 z squared
Option B
C
Negative 2 x minus z minus 5 + 2 z squared
Option C
D
Negative 2 x + z minus 5 + 2 z squared
Option D
3

Which property is shown in the problem below?

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A
the associative property
B
the commutative property
C
the distributive property
D
the division property
4

What is the simplified expression for ?

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A
8 x + y
Option A
B
y minus 4 x
Option B
C
7 y minus 4 x
Option C
D
Negative 4 x minus y
Option D
5

Which number expresses 6.72 as a fraction in simplest form?

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Option B
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Option
Option C
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Option
Option D
6

Question text not available

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7

Which shows the expressions rewritten with the least common denominator? and

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and
Option A
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and
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and
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D
and
Option D
8

Which expression is equivalent to ? Assume .

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A
StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction
Option A
B
StartFraction x Superscript 22 Baseline Over 18 y Superscript 46 Baseline EndFraction
Option B
C
StartFraction 729 Over x Superscript 10 Baseline y Superscript 14 Baseline EndFraction
Option C
D
StartFraction 18 y Superscript 46 Baseline Over x Superscript 22 Baseline EndFraction
Option D
9

Which expression is equivalent to ? Assume and .

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2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)
Option A
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2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)
Option B
C
6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)
Option C
D
12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)
Option D
10

What is simplified?

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Option
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11

Which expressions are equivalent to when x0? Select three options.

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Option
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12

The area of a rectangle, A = l • w is represented by the expression . Which could be the dimensions of the rectangle?

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13

Blake simplified the expression to . Since this answer is incorrect, what was Blake’s mistake?

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A
He added 5 to the exponent in the numerator instead of multiplying.
B
He subtracted the exponents in the parentheses instead of dividing.
C
He multiplied only the exponent in the numerator of the fraction by 5.
D
He divided the exponents in the parentheses instead of subtracting.
14

What is the simplest form of ?

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A
3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot
Option A
B
3 x squared y (RootIndex 4 StartRoot y EndRoot)
Option B
C
9 x squared y (RootIndex 4 StartRoot y EndRoot)
Option C
D
9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)
Option D
15

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 the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

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2 Superscript one-third
Option A
B
2 Superscript one-half
Option B
C
2 Superscript two-thirds
Option C
D
2 Superscript three-halves
Option D
16

Which number is rational?

A
–2.1010010001...
B
–0.8974512...
C
1.2547569...
D
5.3333333...
17

What is the sum?

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18

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

A
$6,075
B
$6,118
C
$6,456
D
$6,778
19

Which shows all the values of a that make the rational expression undefined?

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A
a = 9
B
a = 3
C
a = –9 or a = 9
D
a = –3 or a = 3
20

Which rational expression has a value of 0 when x = –2?

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Option
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Option
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Option
Option D

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