Co n st r u ct ed Re sp o n se
- A dinner party at a restaurant had 37 people. Each
person ordered one of two entrees. One entree cost
$15, and the other entree cost $18. The total cost
of all the entrees was $606. How many $15 entrees
were ordered? - A chemistry student needs to make 20 liters of a
solution that is 60% acid. She plans to make the
solution by mixing a solution that is 70% acid with
another solution that is 45% acid. How many liters of
the 45% acid solution will she need? - What is the negative solution of 2x2 + x = 3?
- Karen can mow the lawn in 15 min. Her friend Kim can
mow the lawn in 10 min. If they work together, how
many minutes will they take to mow the lawn? - Sandra takes 6 h to drive 300 mi. If she increases her
speed by 5 mi/h, how many hours will she take to drive
440 mi? - The graph of /(x) = x + 3 is shown. What is the
y-intercept of the function /(x) - 6?
x 2 - 8 1- A roof on a house has a triangular cross section with
at least two angles of equal measure. One angle of
the triangle measures 120°. What is the measure, in
degrees, of one of the other two angles? - Line p passes through points (5, -4 ) and (2, 7). What is
the slope of a line that is perpendicular to line pi - A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for v.
24. What is the simplified form of ^ + ^ + 45.
25. Phillip works at a grocery store after school and on
weekends. He earns $8.50 per hour. What is a function
rule for his total earnings f{h) for working h hours?
26. What is the simplified form of x fa3^ 18? Show
your work.
27. Jordyn has three test grades of 95, 84, and 85, so far. If
the final exam counts for two test scores and she needs
at least 450 points for an A, what is the lowest score
she can get on the final exam and still get an A for the
course?
28. Rewrite the expression (six3) using rational
exponents.
29. The graph below shows the piecewise function for the
total cost for x hours of labor at an automotive repair
center. What will be the total cost of labor for a repair
that takes 4t, hours?
+ru■*
Oy
c>-—>
t —*>tJ
V-—>-—<>X
0 1 2 3
Time (h)- What are the solution(s) of the system?
y
y- X ~
-- 2x
x -
2Ex t e n d e d R e sp o n se
31. The formula C = | (F — 32) can be used to find the
Celsius temperature C if you know the Fahrenheit
temperature F.
a. Transform the equation to find the Fahrenheit
temperature Fin terms of the Celsius
temperature C.
b. Use the formula in part (a) to find the Fahrenheit
temperature equivalent to 35°C.722 Ch a p t er 11 Co m m o n Co r e Cu m u l a t i v e St an d ar d s Re v i e w