Numbers and Operations Practice Test Insights

The video tutorial covers various mathematical concepts including calculating the greatest common factor (GCF) and least common multiple (LCM), simplifying square roots, estimating quantities, and working with polynomial functions. It also delves into factoring techniques, ordering numbers, simplifying expressions, and calculating perimeter and area. The tutorial concludes with a discussion on simplifying radicals and common mistakes to avoid.

What is the Greatest Common Factor (GCF) of 49 and 28?

• 21

• 28

• 14

• 7

Which of the following is the Least Common Multiple (LCM) of 49 and 28?

• 196

• 98

• 784

• 392

What is the simplified form of the square root of 45?

• √45

• 9√5

• 5√3

• 3√5

How many coffee cups does a shop use in 9 weeks if it uses 3280 cups every 21 days?

• 10000

• 9840

• 9800

• 10400

What is the result of combining like terms: 4x^3 + 3x^2 - 7x^2 + 5x?

• 4x^3 - 4x^2 + 5x

• 4x^3 + 4x^2 + 5x

• 4x^3 + 4x^2 - 5x

• 4x^3 - 4x^2 - 5x

Which of the following is a factor of the polynomial x^2 + 15x + 36?

• (x + 2)(x + 18)

• (x + 6)(x + 6)

• (x + 4)(x + 9)

• (x + 3)(x + 12)

Arrange the following from least to greatest: 0.32, 1/6, 31%, 1/3.

• 1/6, 31%, 1/3, 0.32

• 1/6, 0.32, 1/3, 31%

• 1/6, 0.32, 31%, 1/3

• 1/6, 31%, 0.32, 1/3

Simplify the expression: 5 - 4^3 + | -4 |.

• -59

• 1

• -55

• 15

What is the perimeter of a rectangle with sides 2x - 3 and 4x - 7?

• 6x - 10

• 8x - 14

• 12x - 20

• 12x - 14

Identify the mistake in simplifying √98. What is the correct simplification?

• 7√2

• 49√2

• 14√2

• √49