Creston Academy 8th Grade Math

Radicals

100

Evaluate (1.4)²

1.96

200

Determine all the numbers that cube to 0.008

Take the cube root and get 0.2

300

The square root of 2 is between which two numbers? 

Between 1 and 2

400

What is the solution for x in the equation x²=36

6 and -6

500

The area of a square shaped garden is 324 square feet. What is the length, in feet, of each side of the garden?

18 feet

Exponents

100

Evaluate: (100x)⁰

1

200

What is the simplest positive exponential form of (-3)⁹x(-3)⁵

(-3)¹⁴

300

What is the simplest positive exponential form of (s¹⁵)³?

s⁴⁵

400

What is the simplest positive exponential form of 

(2¹²x4⁶)/8⁵

2⁹

500

Simplify: (6a²b^-1c^-2)²(3^-1a⁴b^-3)^-2

(324b⁴)/a⁴c⁴

Equations

100

Write an equivalent expression: 4(2x+1)

8x+4

200

Find the number of solutions and solve for the variable if it has one solution: 1 + 6v = 3 (3v + 1)

v=-(2/3)

300

Find the number of solution and solve if it has at least one solution: 4(3e -4) = 15e-3e+8

No Solution because same coefficient and different constants

400

For the equation -6(x - 4) + 5x = -9x, Which value of x makes the equation true?

x=-3

500

What is the solution, if any, to the equation:

3(x-2) + 4 = -8 + 3x + 6?

Infinite Solutions because same coefficient and same constant

Functions

100

True or False: y=4x+12 is not linear. 

False, y=4x+12 is linear because it follow y=mx+b format and the exponent is raised to the one power. 

200

True of False: y=(x/3)+5 is a linear function. 

True because it follows the format y=mx+b and the exponent is raised to the one power. 

300

A taxi driver charges customers a base amount of $6.00 and also an amount of $3.00 per mile, x, for a total charge, y, to a customer. What is the rate of change? 

$3 dollars per mile

400

The rule for a function of x is:

multiply the input value by 3, then subtract 8. 

Given an input of 56, what would the output be? 

160

500

A set of ordered pairs is shown below.

{(-3,3), (1,1), (4,2), (-1,1), (-2,1), (3,1), (-2,3)}

Which ordered pair should be removed to make the set a function?

(-2, 1) or (-2, 3) because they both have the same x-value as input and a function can't have the same input. 

Irrational Numbers

100

Is the square root of 1.44 rational or irrational? 

Rational because it terminates as 1.2

200

True or False, the square root of 50 is rational. 

False, the decimal does not repeat and it does not terminate. 

300

True or False: The cube root of 125 is rational. 

True, it is 25. 

400

2 minus the square root of 5 is rational or irrational? 

Irrational even though 2 is rational because adding or subtracting with an irrational number always results in an irrational number. 

500

All of the following are examples of rational numbers except: 

0, 1, √10, -4, 1/3, and 2.5

√10