Co n st r u ct ed Re sp o n se
- Suppose b = 2a - 16 and b = a + 2. What is the
value of al - A student's score on a history test varies directly with
the number of questions the student correctly answers.
A student who correctly answers 14 questions receives
a score of 70. What score would a student receive for
correctly answering 15 questions? - You bought a candlestick holder for $11.78 and several
candles for $.62 each. You spent a total of $18.60. How
many candles did you buy? - An artist is making a scale model of a
ladybug for an insect museum. What
is the length in millimeters of the
actual ladybug that the artist is using
to make this model?
[-►180 c m -*-|
Scale: 15 cm = 1 mm- A flagpole casts a shadow that is 9.1 m long. At the
same time, a meter stick casts a shadow that is 1.4 m
long. How tall is the flagpole in meters? - What is the seventh term in the following sequence?
81, 27, 9, 3,1, ... - Suppose you have $200. Sweaters cost $45 each. What
is the greatest number of sweaters you can buy? - How many whole-number solutions does the
inequality \x — 5| < 8 have? - Line m passes through (-9 ,4 ) and (9, 6). What is the
y-intercept of line ml - You made a graph to model
the height of a tree each year
since you planted it.
Suppose the tree had been
5 ft tall when you planted it.
How tall would the tree be in
6 yr? Assume its growth rate
did not change.
0 1 2 3 4 5
Time (yr)- A laundromat charges $2.25 to wash one load of
clothes and $1.75 to dry one load. The machines
accept only quarters. To wash and dry one load of
clothes, how many quarters would you need?
26. The formula for the area A of a trapezoid is
A = \h(bl + b2), where h is the height of the
trapezoid and bl and b2 are the lengths of its
two bases.
Suppose the height of a trapezoid is x - 2. The lengths
of the bases are x + 2 and 3x - 2. What polynomial in
standard form represents the area of the trapezoid?
Show your work.- A monthly subway pass costs $60. A one-ride ticket
costs $1.80. You plan to ride the subway to school and
back for 21 days this month. How much more money
would you spend to buy one-ride tickets than to buy a
monthly pass? Show your work. - Write a system of inequalities for the graph.
- Write the expression V 8a2 using rational exponents.
- Simplify the expression (3x - 5)(2x + 5).
Ex t e n d e d Re sp o n se
- You sell hot dogs and sodas at basketball games. Each
hot dog costs $1.50 and each soda costs $.50. At one
game, you made a total of $78.50. In all, you sold 87 hot
dogs and sodas.
a. Write a system of linear equations to solve the
problem.
b. How many hot dogs did you sell? How many
sodas did you sell? - If A(2,1), B(5, 4), C(8,12), and D(5, 9) are the
coordinates of the vertices of a quadrilateral, verify
that the quadrilateral ABCD is a parallelogram.
542 Chapter 8 Co m m o n Co r e Cu m u l at i v e St an d ar d s Re v i e w