Chapter 4
1. Simplify.
v6 · v7
A) v13 B) 2v42 C) 2v13 D) v42
2. Simplify.
(-5)0
A) -5 B) 5 C) -1 D) 1
3. Simplify.
V6/v13
A) v7 B) 1/v7 C) 7 D) 7/v
4. Simplify.
3p4· (p4)3
A) 3p24 B) 3p48 C) 3p11 D) 3p16
5. Simplify.
(st5)6
A) st11 B) st30 C) s6t11 D) s6t30
6. Simplify.
(y3/2)3
A) y9/2 B) y6/8 C) y6/2 D) y9/8
7. Evaluate.
(3/2)-3
A) 2/3 B) 3/2 C) 8/27 D) 27/8
8. Write the expression without negative exponents.
(a-7)4/(a-8)6
A) 1/a76 B) 1/a20 C) a20 D) a76
9. Write in scientific notation.
274 x 103
A) 2.74 x 105 B) 2.74 x 106 C) 2.74 x 101 D) 274 x 103
10. Perform the computation.
(2x 10-15)2
A) 4 x 10-15 B) 4 x 10-30 C) 2 x 10-30 D) 4 x 10-13
11. What is the coefficient of x3 in the polynomial -5x3 + 10x2?
A) 3 B) 5 C) 10 D) -5
12. 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
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
14. Perform the indicated operation.
(2p + 5) + (p2 - 8p + 7)
A) p2 + 10p + 12 B) p2 + 2p + 12 C) -5p2 + 12 D) p2 - 6p + 12
15. Perform the indicated operation.
(s - 3) - (2s + 8)
A) 3s + 5 B) -2s - 11 C) -s - 11 D) s - 11
16. 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
17. Find the product.
-5y7·2y2
A) -10y9 B) -10y14 C) -5y7·2y2 D) -3y9
18. Find the product.
(q2 + 3q - 7)(-5q - 7)
A) -5q3 - 22q2 + 14q + 49 C) -5q3 + 22q2 + 14q + 49
B) -5q3 - 22q2 + 14q - 49 D) -5q3 - 22q2 - 14q + 49
19. 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
20. Find the product.
(4t2 + 1)(6t2 - 3)
A) 24t4 - 12t2 - 3 B) 24t4 + 6t2 - 3 C) 24t4 - 6t2 - 3 D) 24t4 - 6t2 + 3
21. Find the product.
(x + 2)(x - 3)(x + 6)
A) x3 + 15x2 + 12x - 36 C) x3 + 11x2 + 36x + 36
B) x3 + 5x2 + 12x + 36 D) x3 + 5x2 - 12x - 36
22. Multiply.
(-4r - 9)2
A) 16r2 + 72r + 81 B) -4r2 + 72r + 81 C) 16r2 + 81 D) 16r2 + 36r + 81
23. Multiply.
(4 + 3s)(4 - 3s)
A) 16 - 9s2 B) 9s2 + 16 C) 16 - 24s + 9s2 D) 16 - 24s - 9s2
24. Expand the binomial.
(s + 3)3
A) s3 + 9s2 + 27s + 9 C) s3 + 9s2 - 27s + 27
B) s3 + 9s2 + 27s + 27 D) s3 + 27
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
26. Simplify.
12v-6/2v-2
A) 6v4 B) v4/6 C) 12/v4 D) 6/v4
27. Find the quotient.
(6x3 + 12x2 - 48x)/6x
A) 13x2 - 48x B) x2 + 2x - 48 C) x2 + 2x - 8 D) 6x3 + 12x2 - 8
28. Find the quotient and the remainder.
(x4 - 5x3 + 10) /(x2 + 2)
A) x2 - 5x - 2, 10x - 6 C) x2 - 5x + 2, -10x + 14
B) x2 - 2, -5x + 14 D) x2 - 5x - 2, 10x + 14