Deck 4: Section 2: Exponents and Polynomials

Question 1

Find the product.
-10t⁵·2t⁷

Answer 1

-20t¹²

Question 2

Simplify.
5y⁴·(y⁴)⁵

Answer 2

5y²⁴

Question 3

The edges of a triangular homesite have lengths of 3x + 4, x, and x - 1. Write an expression for the perimeter of the property.

Answer 3

5x + 3

Question 4

State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial.
x⁴

Question 5

Simplify.

Question 6

What is the coefficient of x³ in the polynomial -11x³ + 13x²?

Question 7

Write in scientific notation.
957 $\times$ 10³

Question 8

Simplify.
-(11)⁰

Question 9

Perform the computation.
(3 $\times$ 10^-14)²

Question 10

Perform the indicated operation.
(t - 5) - (5t - 8)

Question 11

Find the product.
(5w² - 4)(5w² - 1)

Question 12

A shipping carton has a length of x - 2, width of 4x, and a height of x. Write an expression for the volume of the box.

Question 13

Perform the indicated operation.
(-4m - 7) + (m² + 7m + 6)

Question 14

Simplify.

Question 15

Find the product.
(x² + 5x - 2)(-x - 8)

Question 16

Simplify.

Question 17

Evaluate.

Question 18

Write the expression without negative exponents.

Question 19

Simplify.
(xy³)³

Question 20

Find the indicated value of the polynomial.
P(x) = -4.1x³ - 1.2x² - 1.1, P(0.8)

Question 21

Simplify.

Question 22

Expand the binomial.
(n - 2)³

Question 23

Multiply.
(6 + 5x)(6 - 5x)

Question 24

Find the product.
(n + 2)(n - 3)(n + 4)

Question 25

Find the quotient and the remainder.
(x⁴ - x³ + 5) $\div$ (x² + 2)

Question 26

Multiply.
(5x - 6)²

Question 27

Find the quotient.

Question 28

A picture frame has a length l = 12 inches and a height h = 5 inches (see figure). If the frame width is x inches, write an expression for the display area of the frame.