Algebra 1 Unit 1 Review

Algebra 1 Unit 1 Review

Study guide for unit 1

Poll

How do you think you did during this part of the year?

• Great

• Pretty well

• ok

• Horrible

​Test Study Guide

First, I will give you a question. Then I will explain the steps.

Get ready.​

Draw

Simplify: $$\sqrt[]{50x^5y^4}$$  

The correct answer is 5x²y²√2x

Multiple Choice

$$\sqrt[]{50x^7}$$  

• $$4\sqrt[]{3x}$$  

• $$5\sqrt[]{3}$$  

• $$5x^3\sqrt[]{2x}$$  

Multiple Choice

$$\sqrt[]{80x^3yz^5}$$  

• $$3\sqrt[]{2}$$  

• $$23x^2\sqrt[]{4xyz}$$  

• $$4xz^2\sqrt[]{5xyz}$$  

Draw

Simplify: $$3\sqrt[]{5x\cdot2}\sqrt[]{15x^3}$$  

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

$$3\sqrt[]{12}\cdot\sqrt[]{6}$$  

• $$3\sqrt[]{72}$$  

• $$\sqrt[]{216}$$  

• $$18\sqrt[]{2}$$  

Multiple Choice

$$\sqrt[]{20x^2}\cdot\sqrt[]{20x}$$  

• $$\sqrt[]{40x^3}$$  

• $$20x\sqrt[]{x}$$  

• $$20x\sqrt[]{x^2}$$  

Fill in the Blank

$$-9n+10$$  is a ______ _______.

The correct answer is linear binomial.​

​Monomial is a real number, a variable or the product of a real number and one or more variables with whole exponents.

A polynomial​ is a monomial or the sum or difference of two or more terms.

​

In order to name this polynomial, you need to know the number of terms and the degree.

The degree of a polynomial is the biggest exponent in a polynomial.

​0 degree: constant | 1 degree: linear | 2 degree: quadratic | 3 degree: cubic | 4+ degree: (that number) degree

​

The terms in a polynomial are separated by a + and -.​

​1 term: monomial | 2 terms: binomial | 3 terms: trinomial | 4+ terms: polynomial

Fill in the Blank

$$2x^2$$  is a ______ ______.

Fill in the Blank

$$-6a^4+10a^3$$  is a ______ _______.

Draw

Put $$10+6x^2-x^3$$  in standard form.

Multiple Choice

Put $$2x^2+2-5x$$  in standard form.

• $$-5x+2x+2$$  

• $$4x^2-5x$$  

• $$2x^2-5x+2$$  

Multiple Choice

Put $$5x^4-3x^2-2x^3$$  in standard form.

• $$5x^4-2x^3-3x^2$$  

• 0

• 10x⁹

Draw

$$\left(3x-1\right)+\left(10x^2+4x\right)$$  

1. Line up the two expressions ​just like a normal addition problem.

2. Add all like terms together (rearrange if needed). ​

3. You can also just simply do mental math.​

Multiple Choice

$$\left(6x^2-2\right)+\left(x^2+4x-4\right)$$  

• $$7x^2-6+4x^2$$  

• $$7x^2+4x-6$$  

• $$6x^2-2x$$  

Multiple Choice

$$\left(4x+2\right)+\left(16x^2+2x\right)$$  

• $$16x^2+6x+2$$  

• $$4x+2x+16x^2$$  

• $$2\left(8x+3x+1\right)$$  

Draw

$$\left(6x^2+3x-2\right)-\left(3x^2+5x-8\right)$$  

​The correct answer is 3x²-2x+6

Multiple Choice

$$\left(4n-3n^3\right)-\left(3n^3+4n\right)$$  

• -6n³

• -6n²

• 6n³

• 6n²

Multiple Choice

$$\left(3a^2+1\right)-\left(4+2a^2\right)$$  

• a²-3

• -a²-3

• -a²+3

Draw

$$-3\sqrt[]{7}+4\sqrt[]{7}$$  

1. ​ Break down any unsimplified radicals.

2. Add them together like normal variables where the radicand acts as the variable​

Multiple Choice

$$-11\sqrt[]{21}-11\sqrt[]{21}$$  

• $$\sqrt[]{3}$$  

• 1

• $$-22\sqrt[]{21}$$  

Multiple Choice

$$-2\sqrt[]{3}+3\sqrt[]{27}$$  

• $$-5\sqrt[]{27}$$  

• $$7\sqrt[]{3}$$  

• $$-\sqrt[]{3}$$  

Draw

$$2x^2\left(x^2+3x+4\right)$$  

​The correct answer is 2x⁴+6x³+8x²

​	​x	​3x	​4
​2x	​2x	6x	​8x

Multiple Choice

$$\left(2n+2\right)\left(6n+1\right)$$  

• 12n+2

• 12n²+14n+2

• 15n

Multiple Choice

(4p-1)²

• 16p-1

• 16p²-1²

• 16p²-8p+1

Draw

2 miles per hour to feet per minute

​Might need google or a teacher for this :(

Fill in the Blank

Convert 25 feet per second to miles per hour.

Fill in the Blank

Convert 75 miles per hour to feet per second.

RapidIdentity

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