Deck 4: Section 1: Exponents and Polynomials

Question 1

State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial. -14x³

A) 3, monomial
B) -14, binomial
C) -14, monomial
D) 3, binomial

Answer 1

3, monomial

Question 2

Write the expression without negative exponents.

A)
B)
C)
D)

Answer 2

Question 3

Find the product. -5y⁷·2y²

A) -10y⁹
B) -10y¹⁴
C) -5y⁷2y²
D) -3y⁹

Answer 3

-10y⁹

Question 4

Simplify. (st⁵)⁶

A) st¹¹
B) st³⁰
C) s⁶t¹¹
D) s⁶t³⁰

Question 5

Simplify.

A)
B)
C)
D)

Question 6

Evaluate.

A)
B)
C)
D)

Question 7

Perform the indicated operation. (s - 3) - (2s + 8)

A) 3s + 5
B) -2s - 11
C) -s - 11
D) s - 11

Question 8

Write in scientific notation. 274 10³

A) 2.74 10⁵
B) 2.74 10⁶
C) 2.74 10¹
D) 274 10³

Question 9

The edges of a triangular homesite have lengths of 3x - 2, x, and x + 1. Write an expression for the perimeter of the property.

A) 4x - 1
B) 5x - 1
C) 6x - 1
D) 5x - 3

Question 10

Perform the indicated operation. (2p + 5) + (p² - 8p + 7)

A) p² + 10p + 12
B) p² + 2p + 12
C) -5p² + 12
D) p² - 6p + 12

Question 11

Simplify. (-5)⁰

A) -5
B) 5
C) -1
D) 1

Question 12

Simplify.

A)
B)
C)
D)

Question 13

Find the indicated value of the polynomial. P(x) = 0.6x³ + 0.7x² - 3.4, P(-0.1)

A) -3.4064
B) -3.3936
C) -3.464
D) 3.3924

Question 14

Simplify. 3p⁴·(p⁴)³

A) 3p²⁴
B) 3p⁴⁸
C) 3p¹¹
D) 3p¹⁶

Question 15

What is the coefficient of x³ in the polynomial -5x³ + 10x²?

A) 3
B) 5
C) 10
D) -5

Question 16

Find the product. (4t² + 1)(6t² - 3)

A) 24t⁴ - 12t² - 3
B) 24t⁴ + 6t² - 3
C) 24t⁴ - 6t² - 3
D) 24t⁴ - 6t² + 3

Question 17

Perform the computation. (2 10^-15)²

A) 4 10^-15
B) 4 10^-30
C) 2 10^-30
D) 4 10^-13

Question 18

Find the product. (q² + 3q - 7)(-5q - 7)

A) -5q³ - 22q² + 14q + 49
B) -5q³ - 22q² + 14q - 49
C) -5q³ + 22q² + 14q + 49
D) -5q³ - 22q² - 14q + 49

Question 19

Simplify.

A)
B)
C)
D)

Question 20

A shipping carton has a length of 2x + 3, width of 3x, and a height of x. Write an expression for the volume of the box.

A) 5x³ + 9x²
B) 6x³ + 9x
C) 6x² + 9x
D) 6x³ + 9x²

Question 21

Find the product. (x + 2)(x - 3)(x + 6)

A) x³ + 15x² + 12x - 36
B) x³ + 5x² + 12x + 36
C) x³ + 11x² + 36x + 36
D) x³ + 5x² - 12x - 36

Question 22

Expand the binomial. (s + 3)³

A) s³ + 9s² + 27s + 9
B) s³ + 9s² + 27s + 27
C) s³ + 9s² - 27s + 27
D) s³ + 27

Question 23

Find the quotient.

A) 13x² - 48x
B) x² + 2x - 48
C) x² + 2x - 8
D) 6x³ + 12x² - 8

Question 24

Multiply. (-4r - 9)²

A) 16r² + 72r + 81
B) -4r² + 72r + 81
C) 16r² + 81
D) 16r² + 36r + 81

Question 25

A picture frame has a length l = 11 inches and a height h = 8 inches (see figure). If the frame width is x inches, write an expression for the display area of the frame.

A) x² - 19x + 88 in²
B) 88 in²
C) 4x² - 38x + 88 in²
D) x² - 88 in²

Question 26

Find the quotient and the remainder. (x⁴ - 5x³ + 10) (x² + 2)

A) x² - 5x - 2, 10x - 6
B) x² - 2, -5x + 14
C) x² - 5x + 2, -10x + 14
D) x² - 5x - 2, 10x + 14

Question 27

Multiply. (4 + 3s)(4 - 3s)

A) 16 - 9s²
B) 9s² + 16
C) 16 - 24s + 9s²
D) 16 - 24s - 9s²

Question 28

Simplify.

A)
B)
C)
D)