Keystone Algebra Practice Questions

Order the following numbers from greatest to least.

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Choose the correct comparison for the numbers below.

0.46, 104%, 5/14

• 0.46 < 5/14 < 104%

• 104% > 0.46 > 5/14

• 104% > 5/14 > 0.46

• 5/14 > 104% > 0.46

Which list of numbers is in order from least to greatest?

• 2, √5, √32, 3

• 2, √5, 3, √32

• √32, 3, √5, 2

• 2, 3, √5, √32

Simplify:

√243

• 9

• 81

• 81√2

• 9√3

Simplify:

√162

• 54

• 9√2

• 81√2

• 6

Simplify:

√640

• 8√10

• 160√2

• 20√2

• 64√10

Which value of x makes the below expression equivalent to 21√53 ?

• 147

• 441

• 7

• 49

The expression below should be further simplified for which value of x?

• 59

• 94

• 3

• 235

What is the greatest common factor of the monomials: 21xy⁴z² , 77x³y²

• 231x⁴y⁶z²

• 7x³y⁴z²

• 7xy²

• 231x³y⁴z²

What is the least common multiple of the monomials: 9xy⁴ , 5x²y²

• 45x³y⁶

• x³y⁶

• xy²

• 45x²y⁴