AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondTest

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1
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What is the coefficient of the x2-term of the algebraic expression ?

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A
-1
B
1
C
0
D
2
2
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What is the quotient in simplified form? Assume .

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A
Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction
Option A
B
Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction
Option B
C
StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction
Option C
D
StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction
Option D
3

Miguel’s steps in evaluating an expression are given below. Step 1: Step 2: Step 3: Step 4: What, if any, was Miguel’s mistake?

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A
Miguel made no mistakes.
B
Miguel incorrectly evaluated 2³ in step 1.
C
Miguel incorrectly multiplied before dividing in step 3.
D
Miguel should have used the distributive property in step 1.
4

Tyna simplified the expression to . What was Tyna’s mistake?

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A
She divided the coefficients incorrectly.
B
She added the exponents instead of subtracting them.
C
She divided the coefficients instead of subtracting them.
D
She subtracted the exponents instead of dividing them.
5

What is the simplified expression for the expression below?

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A
5x + 5
B
7x + 1
C
x + 7
D
3x + 5
6

What value of y will make the equation true? [BLANK]

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Answer not available
7

The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.Which expression is shown by the model?

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A
28 + 14 = 7 (4 + 14)
Option A
B
28 + 14 = 4 (7 + 2)
Option B
C
28 + 14 = 4 (14 + 28)
Option C
D
28 + 14 = 7 (4 + 2)
Option D
8

Which expression is equivalent to ? Assume x 0.

Question illustration
A
StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction
Option A
B
StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction
Option B
C
StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction
Option C
D
StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction
Option D
9

Tanisha and Neal are simplifying the same expression . Tanisha’s WorkNeal’s WorkWhich statements are true about each person’s work? Select the four correct answer choices .

Question illustration
A
Tanisha correctly simplified the power of a product in her first step by adding exponents.
B
Tanisha’s next step is to apply the power of a product.
C
Tanisha’s work is correct.
D
Neal’s next step is to apply the quotient of powers.
E
The correct simplified answer is .
Option E
F
Neal’s work is correct.
10

Ahmed simplified the expression to .Which procedure can Ahmed follow to verify that he did the simplification process correctly?

Question illustration
A
Substitute 2 into each expression, and evaluate them.
B
Add to .
Option B
C
Substitute 1 into the first expression, substitute 2 into the second expression, and evaluate them.
D
Subtract from .
Option D
11

Selena is simplifying the expression . She wrote .What number should Selena put in the box?

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Answer not available
12

Which is the simplified form of ? Assume .

Question illustration
A
StartFraction b cubed Over 8 a Superscript 18 Baseline EndFraction
Option A
B
StartFraction b squared Over 8 a Superscript 45 Baseline EndFraction
Option B
C
StartFraction a Superscript 6 Baseline Over 4 b EndFraction
Option C
D
StartFraction 2 a Superscript 6 Baseline Over b Superscript 5 Baseline EndFraction
Option D
13

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Ryan is looking for the sum of the cube of a number, n, and 16.What is the sum Ryan is looking for if ? [BLANK]

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Answer not available
15

Which description can be written as the expression ?

Question illustration
A
Hasaan wants to know how much savings is left in his account if he withdraws fifteen dollars.
B
Hasaan wants to know how many fifteen-dollar tickets he has to sell to make forty dollars.
C
Hasaan wants to know how much money he would have after forty hours of work if fifteen dollars is taken out of his pay for taxes.
D
Hasaan wants to know how many fifteen-foot floors are in a building that is forty-feet tall.

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