Co n st r u ct ed Re sp o n se 24. The graph below is the solution of a linear system. How
many solutions does the system have?- Rhonda has 25 coins in her pocket. All of the coins are
either dimes or nickels. If Rhonda has a total of $2.30,
how many dimes does she have? - What is the value of x in the proportion?
2 _ x
5 — 21 — x - An artist is adding a frame to a rectangular painting
that is 12 in. wide and 19 in. long. The frame is 3 in.
wide on each side. To the nearest square inch, what is
the area of the painting with the frame? - W hatisthesolutionof4(-3x+ 6 ) - 1 = —13?
- In a regular polygon, all sides have the same length.
Suppose a regular hexagon has a perimeter of 25.2 in.
What is the length of each side in inches? - The sum of four consecutive integers is 250. What is
the greatest of these integers? - What is the slope of a line that is perpendicular to the
line with equation y = — 5x + 8?
21. On a map, Julia's home is 8.5 in. from the library. If the
map scale is 1 in .: 0.25 mi, how many miles from the
library does Julia live?- The graph shows Jillian’s
distance from her house as
she walks home from school.
How many blocks per minute
does Jillian walk? - Sam is ordering pizza. Tony’s
Pizza charges $7 for a large
cheese pizza plus $.75 for each additional topping.
Maria’s Pizza charges $8 for a large cheese pizza plus
$.50 for each additional topping. For what number of
toppings will the cost of a large pizza be the same at
either restaurant?
Ti me (mi n)- Write a system of inequalities for the graph below.
- The volume Vof a cube is given by the formula V = s3,
where s represents the length of an edge of the cube.
Suppose the edge length is 24 in. What is the volume of
the cube in cubic feet? - You plan to mail surveys to different households. A box
of 50 envelopes costs $3.50, and a postage stamp costs
$.44. How much will it cost you to mail 400 surveys?
Ex t e n d e d Re sp o n se
- The vertices of quadrilateral ABCD are A(l, 1), B[ 1, 5),
C(5, 5), and £>(7,1).
a. A trapezoid is a four-sided figure with exactly one
pair of parallel sides. Is ABCD a trapezoid? Explain
your answer.
b. You want to transform ABCD into a parallelogram
by only moving point B. A parallelogram is a
four-sided figure with both pairs of opposite sides
parallel. What should be the new coordinates of
point B1 Explain.
414 Chapter 6 Co m m o n Co r e Cu m u l at i v e St an d ar d s Rev i ew