(Q | Challenge 48. Geometry Suppose the prism at the right has the same surface area as a
cube with edges 8 in. long.
a. Write an expression for the surface area of the prism shown.
b. Write an equation that relates the surface area of the prism to the
surface area of the 8 -in. cube.
c. Solve the equation you wrote in part (b). What are the dimensions of x + 7
the prism?- a. Solve the equation x 2 — 6 x + 4 = 0, but leave the solutions in the form p ± Vq.
b. Use the formula x = -^to find the coordinates of the vertex of the graph of
y = x 2 - 6 x + 4.
c. R easo ning Explain the relationship between your answers to parts (a) and (b).
SAT/ACT
O'
St an d ar d i zed Test Pr ep
- The rectangular poster has an area 40 ft2. What is the value of x to the
nearest tenth of a foot? - The width of a notebook is 2.15 X 10-2 m. In decimal form, how
many meters wide is the notebook? - What is the solution of the equation 19 + x = 35?
- How many elements are in the intersection of the two sets
M = {2, 3, 4,5} and IV = {l,3 , 5,9}?
GRTD D ED RESPO N SE(x + 1)ft(x + 2 ) f t- A ribbon with straight edges has an area of 24 in.2. Its width is x and its length is
2x + 13. What is the width of the ribbon in inches? - What is the x-intercept of the graph of 2x + 3y = 9?
- The sum of two numbers is 20. The difference between three times the larger
number and twice the smaller number is 40. What is the larger number?
Mixed Review
Solve by factoring.- n2 + lira+ 30 = 0
Simplify.- (m3)4
58. 9v2 — 64 = 0
4(2 See Lesson 9-4.
- b^7 (b8)-1^6 2. t{t2)6
Get Read y! To p r e p a r e f o r Le sso n 9 - 6 , d o Ex e r c i se s 6 4 - 6 6.
Evaluate b2 — 4ac for the given values of a, b, and c.- a = 2, b = 5, c = —7 65. a = 2 ,b = 4 , c = 2
59. 12 n+ = 28ie + 5
See Lesson 7-3.- y 8 (y~7)-3
4P See Lesson 1-2.- a = l , b — 3, c=6
[ Lesso n 9- 5 Co m p let in g t h e Sq u are^581