EOC Day 6- Unit 1

EOC Unit 1

Irrational Numbers vs Rational Numbers

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Irrational numbers cannot be made into fractions. For example, a decimal that goes on forever (doesn't repeat) is irrational.

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Symbols like pi (π) are also irrational. Rational numbers can be represented as a fraction. For example, 2 is rational, 2/3 is rational,

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Multiple Choice

Which of the following is Rational?

• √52

• √18

• √64

• √15

Multiple Choice

Is the  $$\sqrt{125}$$  rational or irrational? 

• Rational

• Irrational

• Neither

• Both

Multiple Choice

$$Is\ the\ sum\ of\ \sqrt{3\ }and\ \frac{1}{3}\ rational\ or\ irrational?\$$  

• rational

• irrational

• both

• neither

Multiple Choice

 Which expression is equivalent to $$a\sqrt[]{b}+c\sqrt[]{b}$$ where a, b and c are positive numbers

• b

• $$ac\sqrt[]{b}$$

• $$\left(a+c\right)\sqrt[]{b}$$

• $$\left(a+c\right)\sqrt[]{\left(b+b\right)}$$

Multiple Choice

$$Simplify\ the\ radical:\ \sqrt{80}$$  

• 8.94

• 4

• $$4\sqrt{5}$$  

• $$\sqrt{8}$$  

Multiple Choice

$$2\sqrt{8}\cdot\sqrt{20}$$  

Which of these is an equivalent to the expression?

• $$2\sqrt{28}$$  

• 5

• $$8\sqrt{10}$$  

• $$32\sqrt{10}$$  

Multiple Choice

Which product is irrational?

• $$\sqrt{2}\cdot\sqrt{50}$$

• $$\sqrt{64}\cdot\sqrt{4}$$

• $$\sqrt{9}\cdot\sqrt{49}$$

• $$\sqrt{10}\cdot\sqrt{8}$$

Multiple Choice

Which sum is rational?

• $$\pi+18$$

• $$\sqrt{25}+1.75$$

• $$\sqrt{3}+5.5$$

• $$\pi+\sqrt{2}$$

Multiple Choice

Find the sum.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

Multiple Choice

Find the difference.

(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Multiple Choice

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?

• 824

• 1600

• 2000

• 3200

Dimensional Analysis

Convert 45 miles per hour to feet per minute.

Multiple Choice

Convert 300 feet/hour into inches/seconds

• 1

• 100

• 1000

• 1000

Multiple Choice

Jonathan raised 60 goats, then he traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. Next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. How many hogs did he get?

• 62 hogs

• 42 hogs

• 84 hogs

• 86 hogs

Consider the expression: 3x²+2x+1

How many terms are in the expression?

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What is the coefficient of the x² term?

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What is a "like" term? What does it mean to "combine like terms"?

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Multiple Choice

In which expression is the coefficient of the n term -1?

• 3n²+4n-1

• -n²+5n+4

• -2n²-n+5

• 4n²+n-5

Multiple Choice

The expression s² is used to calculatoe the area of a square, where s is the side length of the square. What does the expression (8x)² represent?

• The area of a square with a side length of 8

• The area of a square with a side length of 16

• The area of a square with a side length of 4x

• The area of a square with a side length of 8x

Multiple Choice

Solve 5x+6=16

• -2

• 5

• 10

• 2