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PA Alg1 Keystone Review Module 1

Authored by Rebecca Glusco

Mathematics

9th - 12th Grade

CCSS covered

Used 14+ times

PA Alg1 Keystone Review Module 1
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32 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of these numbers lies between 4 and 4.5 on a number line?

13\sqrt[]{13}

17\sqrt[]{17}

22\sqrt[]{22}

28\sqrt[]{28}

Answer explanation

13=3.606\sqrt[]{13}=3.606

17=4.123\sqrt[]{17}=4.123

22=4.690\sqrt[]{22}=4.690

28=5.292\sqrt[]{28}=5.292

Tags

CCSS.8.NS.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following inequalities is true for all real values of x?

1x2>0\frac{1}{x^2}>0

1x3>0\frac{1}{x^3}>0

1x2+1>0\frac{1}{x^2+1}>0

1x3+1>0\frac{1}{x^3+1}>0

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the simplified form of 54\sqrt[]{54} ?

363\sqrt[]{6}

636\sqrt[]{3}

939\sqrt[]{3}

969\sqrt[]{6}

Answer explanation

54\sqrt[]{54}

9⋅6\sqrt[]{9}\cdot\sqrt[]{6}

3⋅63\cdot\sqrt[]{6}

363\sqrt[]{6}

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

An expression is shown below

548a5\sqrt[]{48a}

If this expression is equivalent to 60, what must be the value of a?

3

4

9

16

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the greatest common factor (GCF) of the monomials a2b5 and a3b3a^2b^5\ and\ a^3b^3 .

a2b3a^2b^3

a2b5a^2b^5

a3b3a^3b^3

a3b5a^3b^5

Answer explanation

a⋅a⋅b⋅b⋅b⋅b⋅ba\cdot a\cdot b\cdot b\cdot b\cdot b\cdot b

a⋅a⋅a⋅b⋅b⋅ba\cdot a\cdot a\cdot b\cdot b\cdot b

2 a's are in common and 3 b's are in common. That means our final answer should be a2b3a^2b^3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the least common Multiple (LCM) of the monomials 60xy3 and 100x2y60xy^3\ and\ 100x^2y ?

20xy20xy

300x2y3300x^2y^3

600x3y4600x^3y^4

6,000x3y46,000x^3y^4

Answer explanation

We take the highest exponent of each variable and then look for the smallest multiple of the numbers.

Between 100 and 60, 300 is the smallest multiple.

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the value of this expression.

∣−14+6−12∣\left|-14+6-12\right|

-32

-20

20

32

Answer explanation

∣−14+6−12∣\left|-14+6-12\right|

∣−8−12∣\left|-8-12\right|

∣−20∣\left|-20\right|

2020

Tags

CCSS.7.NS.A.3

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