General Mathematics Review

General Mathematics Review

By SHAD HICKMAN

algebra 1

​Question 1:

Review Topics:

• slope of a line

• writing equations of lines

• linear transformations​

Multiple Choice

Question 1

• A

• B

• C

• D

Fill in the Blank

Question 1b: What was the equation of the ORIGINAL line in Question 1?

(use slope intercept form)

Fill in the Blank

Question 1c: What was the equation of the NEW line implied by Question 1?

(use point slope intercept form)

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Algebra 1

Question 3:

Review Topics:

• use of linear models

• interpretation of verbal model components

Multiple Choice

Question 2

• A

• B

• C

• D

Open Ended

Question 2b

Open Ended

Question 2c

What does the point (4,30.1684) mean?

Be specific

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Algebra 1 & Geometry.

​Question 3

Review Topics:

• Solving rational equations

• Literal Equations ​

​

Multiple Choice

Question 3

• A

• B

• C

• D

Open Ended

Question 3b

There are two restrictions on Question 3? Explain why

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Algebra 2 (some Algebra 1E may have seen this)

​Question 4

Review Topics:

• complex number simplification

• multiplication of polynomials ​

Multiple Choice

Question 4

• A

• B

• C

• D

Open Ended

Question 4b:

Why did you know that only C or D could be correct?

Open Ended

Question 4c:

Why is the following an incorrect answer?

$$-24i^2+154i+98$$  

Algebra 1 and Algebra 2

Review Topics:

• Quadratic functions

• Different formats of quadratic functions

  • vertex form

  • standard form

  • intercept form​

​

Multiple Choice

Question 5

• A

• B

• C

• D

Multiple Choice

Question 5b:

Which of these answers is a parabola that is in standard form?

• A

• B

• C

• D

Multiple Choice

Question 5c

Which of these answers is a parabola that is in vertex form?

• A

• B

• C

• D

Multiple Select

Question 5d

Which of these answers is a parabola that has its vertex at (3,-2)?

• A

• B

• C

• D

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Algebra 1 and Algebra 2

Question 6:

Review Topics:

• exponent laws

• l​iteral equations

​

Multiple Choice

Question 6

• A

• B

• C

• D

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Algebra 1

Question 7:

Review Topics:

• ​Polynomial Operations

• Literal Equations​

​

Multiple Choice

Question 7

• A

• B

• C

• D

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PreCalculus

Question 8:

Review Topics:

• ​Trigonometric Expressions

• Trigonometric Identities​

​

Multiple Choice

Question 8

• A

• B

• C

• D

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Geometry

Question 9:

Review Topics:

• ​Circle segments

• relationship between parallel lines

• Isosceles triangles​

• Right Triangles​

​

Multiple Choice

Question 9

• A

• B

• C

• D

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Algebra 1

Question 10:

Review Topics:

• ​Standard Form Lines

• Linear Inequalities

• Building a model​

​

Multiple Choice

Question 10

• A

• B

• C

Open Ended

Question 10b:

Explain the difference in the two answer choices in context to given problem

Statistics

Question 11:

Review Topics:

• ​Margin of Error

• representative samples

• sample size impact​

​

Multiple Choice

Question 11

• A

• B

• C

• D

Open Ended

Question 11b

Why can you eliminate choices B and D from consideration?

Algebra 1

Question 12:

Review Topics:

• ​Linear Inequalities

• Applications of linear models

• profit/cost/revenue​

​

Multiple Choice

Question 12

• A

• B

• C

• D

Open Ended

Question 12b

What is the revenue function for this scenario?

Open Ended

Question 12c

What is the profit function for this scenario?

Open Ended

Question 12c

What is the "break-even" number of items for this scenario?

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Algebra 1

Question 13:

Review Topics:

• ​Mean

• Measures of Central Tendencies​

​

Multiple Choice

Question 13

• A

• B

• C

• D

Algebra 1

Question 14:

Review Topics:

• ​Statistics

• Interpretation of Data

• Claims supported by data

• sample populations

• sampling ​

​

Multiple Choice

Question 14

• A

• B

• C

• D

Algebra 2

Question 15:

Review Topics:

• ​Population Change Models

• Building Population Change Models ​

​

Multiple Choice

Question 15

• A

• B

• C

• D

Open Ended

Question 15b

Based on the given information, what will the population be in 2030?

Open Ended

Question 15c

Based on the given information, when will the population be 2000?

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Geometry

Question 16:

Review Topics:

• ​Similar Triangles

• Properties of parallel lines and their transversals

• angle pairs created by transversals of two or more lines ​

​

Multiple Choice

Question 16

• A

• B

• C

• D

logic and support for 16

The similar triangle statement allows us to label the triangles' congruent angle relationships​

​Lines AE and BD are transversals to the lines AB and DE

logic and support for 16

Angles with measure 2 in figure are called alternative interior angles to the transversal AE

​

Angles with measure 3 in figure are called alternative interior angles to the transversal BD

​

When alternate interior angles are congruent, the lines that transversals cut are parallel ​

​

​

Algebra 2

Question 17:

Review topics:

• Rational Root Theorem

• Synthetic and Long division of polynomials

​

Multiple Choice

Question 17

• A

• B

• C

• D

Open Ended

Question 17b

Based on the given information, what is the value of p?

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