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Simplify the expression by using the distributive property.
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1.
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2.
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|
Simplify the expression by using the power of a product property or by using
the power of a power property.
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3.
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4.
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5.
|
The table below shows the coordinates of some of the points on the boundary of
the graph of   Draw a graph that represents
the relationship between x and y.
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|
Evaluate the expression.
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6.
|
a. | 3 | b. | 1 | c. |  | d. | 0 |
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7.
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|
Find the perimeter of the right triangle given its area and the length of one
leg.
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8.
|
a. | 90 m | b. | 114 m | c. | 120 m | d. | 104
m |
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Find the square root.
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9.
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10.
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11.
|
A circle has an area of 2464 square millimeters. If the circle is reduced to
form a new circle having an area sixteen times smaller than the area of the original circle, which
statement indicates how the radius has changed? Use  as an approximation for  . a. | The new radius is three times shorter than the original radius. | b. | The new radius is
two times shorter than the original radius. | c. | The new radius is four times shorter than the
original radius. | d. | The new radius is five times longer than the original
radius. |
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12.
|
Suppose the average price of a loaf of a particular type of bread is shown in
the table below.  Write an expression that can be used to represent
the average price of a loaf of that type of bread where n is the number of years after
1950.
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13.
|
Use the function table to find the value of y when  
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Simplify the quotient.
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14.
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15.
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16.
|
What is the expression  in simplest form?
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17.
|
Write an equation that shows the relationship between x and
y. 
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18.
|
The table shows the study times and test scores for a number of students. Create
a scatter plot corresponding to the given data. 
|
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|
Simplify. Write the expression using only positive exponents.
|
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19.
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20.
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21.
|
Write a function rule that relates x and y. 
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22.
|
Which graph shows a line with a slope of 
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23.
|
A rectangular fish tank has a base that is 11.6 inches by 14.6 inches. How much
water will it take to fill the tank to a depth of 13.6 inches? Round to the nearest cubic
inch.
a. | 2,520  | b. | 183  | c. | 2,303  | d. | 2,002  |
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24.
|
What type of polynomial results when  is simplified? a. | binomial | c. | trinomial | b. | none of these | d. | monomial |
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|
Find the area of the trapezoid.
|
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25.
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|
Graph the inequality.
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26.
|
 < 44
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27.
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28.
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|
Write the equation of the graph in slope-intercept form.
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29.
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|
Graph the linear equation.
|
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30.
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31.
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32.
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33.
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34.
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|
Find the volume of the cylinder. Round to the nearest unit.
|
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35.
|
a. | 5,793  | b. | 5,586  | c. | 5,595  | d. | 5,573  |
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36.
|
Which of the following is rational?
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|
Find the slope of the line passing through the points.
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37.
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|
Find the exact value of each variable.
|
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38.
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39.
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40.
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41.
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|
Rewrite in slope-intercept form. Then find the slope and y-intercept of
the line.
|
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42.
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43.
|
Make a table of values for the function rule  using the inputs
 ,  , 0, and 1.
|
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|
Find the product and simplify.
|
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44.
|
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45.
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46.
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47.
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48.
|
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|
Find the volume of the rectangular prism.
|
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49.
|
a. | 529.2 | b. | 88.2 | c. | 121.8 | d. | 130.8 |
|
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|
Find the sum.
|
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50.
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51.
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52.
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53.
|
Find the area of the shaded region. Use 3.14 for  . a. | 292.58  | b. | 78.54  | c. | 245.46  | d. | 169  |
|
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|
Simplify the polynomial and write it in standard form.
|
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54.
|
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55.
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56.
|
Serena drew the diagram shown of her triangular garden. Each unit represents 1
foot. What is the perimeter of the garden? a. | 26 feet | c. | 24 feet | b. | 22 feet | d. | 20 feet |
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57.
|
One section of a brick wall that needs to be built is 12 feet long. The brick
wall will be 4 feet tall and 1 foot thick. Each brick is 9 inches long by 6 inches wide by 3 inches
thick. What is the total volume for this section of the wall?
|
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|
Write and solve an equation to find the radius of the circle given its
circumference C. Then use the radius to find the area of the circle. Use 3.14 for  .
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58.
|
a. | r = 20 m; A =  | b. | r = 10 m;
A =  | c. | r = 20 m; A =  | d. | r = 10 m; A =  |
|
|
|
Find the area of the circle. Use 3.14 for  .
|
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|
59.
|
a. | 11.3354 m2 | b. | 45.3416 m2 | c. | 11.932 m2 | d. | 2.83385
m2 |
|
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|
60.
|
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|
Solve the equation. Round to the nearest hundredth, if necessary.
|
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61.
|
a. |  | b. |  | c. | 6 | d. | 8 |
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62.
|
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63.
|
Write a rule that describes the relationship between x and y in
the following table. 
|
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64.
|
The graph below shows points that lie on a line.  Describe the relationship between the points by relating changes in
x-values to changes in y-values as the graph is read from left to right. a. | The x-values of the points increase by 4 and the y-values increase by
3. | b. | The x-values of the points increase by 3 and the y-values increase by
4. | c. | The y-values of the points decrease by 4 and the x-values increase by
3. | d. | The y-values of the points decrease by 4 and the x-values decrease by
3. |
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65.
|
Solve the equation  for y. List four solutions of the
equation.
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66.
|
The figure below represents the overhead view of a deck surrounding a hot tub.
What is the area of the deck? Use 3.14 for  .
|
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67.
|
Which figure below is a net for a cube?
|
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68.
|
Which triangle with the given side lengths is a right triangle?
|
|
|
Simplify the expression.
|
|
|
69.
|
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70.
|
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71.
|
The cost of a school banquet is $95 plus $13 for each person attending. This can
be modeled by the equation  where C represents the total cost in dollars
and x is the number of people attending. Find the cost for 75 people. a. | $950 | b. | $1350 | c. | $1145 | d. | $1070 |
|
|
|
Find the radius of the circle with the given area. Use 3.14 for  .
|
|
|
72.
|
a. | 162 ft | b. | 18 ft | c. | 9 ft | d. | 81
ft |
|
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|
73.
|
A cylinder 19 centimeters high and 16 centimeters in diameter is filled with
flour to 3.5 centimeters from the top. What volume of flour, to the nearest cubic centimeter, does
the cylinder contain?
|
|
|
74.
|
Which of the following is a function?
|
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|
75.
|
Find the two square roots of 6.25.
|
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|
76.
|
A tin can factory can produce 1100 tin cans in one day. Each tin can is 14.8
centimeters tall and has a diameter of 11.8 centimeters. About how many square centimeters of tin
does the factory use per day? Use 3.14 as an approximation  Round your answer to the nearest
thousand.
|
|
|
77.
|
Plot the points    and  on a
number line.
|
|
|
Find the x- and y-intercepts of the graph of the equation.
|
|
|
78.
|
|
|
|
79.
|
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|
80.
|
Create a table of values for the equation  using the
x-values  ,  , 0, 1, and 2.
|
|
|
81.
|
A crane is used to remove a piano from an apartment building. The apartment
window is 52 feet directly above the bed of the truck. The base of the crane is a horizontal distance
of 39 feet away from the building. How long must the crane extend to reach the apartment
window?  (may not be drawn to
scale) a. | 52 feet | b. | 65 feet | c. | 91 feet | d. | 4225
feet |
|
|
|
82.
|
Use the rise and the run to calculate the slope of the graphed line.  a. | –7 | b. | 7 | c. |  | d. |  |
|
|
|
83.
|
Which set of numbers is not a Pythagorean triple?
a. | 80, 84, 116 | c. | 160, 168, 232 | b. | 81, 84, 116 | d. |  ,  ,  |
|
|
|
Complete the statement with  ,  , or =.
|
|
|
84.
|
a. |  | b. | = | c. |  |
|
|
|
85.
|
a. |  | b. | = | c. |  |
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|
86.
|
If a carpenter builds a box larger than the one below using a scale of 1 to 4,
how many times greater is the surface area of the new box than the area of the original
box? a. | The surface area of the new box is equal to that of the original
box. | b. | The surface area of the new box is 4 times that of the original
box. | c. | The surface area of the new box is 12 times that of the original
box. | d. | The surface area of the new box is 16 times that of the original
box. |
|
|
|
Order the numbers from least to greatest.
|
|
|
87.
|
|
|
|
88.
|
|
|
|
89.
|
Determine which relation is a function.
|
|
|
90.
|
Make a table of values and graph for the equation  .
|
|
|
91.
|
Which ordered pair is a solution of the equation 
|
|
|
92.
|
Cakery Bakery made a cake with the dimensions shown. If only the top and sides are frosted,
how many square inches of the cake are frosted? (The figure may not be drawn to scale.)
|
|
|
Graph the equation using intercepts.
|
|
|
93.
|
|
|
|
94.
|
Which ordered pair is a solution of the equation 
|
|
|
95.
|
The population of a once-endangered animal species has been increasing. Create a
scatter plot that represents the data in the table. 
|
|
|
96.
|
Leslie is building the kite shown. The line  is a line of
symmetry for the kite. How much kite paper is needed to build the kite?  (may not be drawn to scale) a. | 37.5 square feet | c. | 43.5 square feet | b. | 21.75 square feet | d. | 18.75 square
feet |
|
|
|
97.
|
Devin needs to pay $356 to go on a school band trip. Each month he pays $47
toward the trip. Describe a function based on this situation. Identify the input and the output.
Write an equation that models the amount he owes after x months.
a. | The input is the number of months he pays and output is the amount left to pay;  | b. | The input is the amount left to pay and output is the number of months he pays;  | c. | The input is the amount left to pay and output is the number of months he pays.;  | d. | The input is the number of months he pays and output is the amount left to pay.;  |
|
|
|
98.
|
Which ordered pairs are solutions of the equation 
|
|
|
99.
|
The graph shows the relationship between x and y.  Write an inequality that describes the relationship between x and
y.
|
|
|
100.
|
A cable is attached to a utility pole 25 feet above the ground and anchored 9
feet from the base of the pole. The length, in feet, of the cable is equals the square root of seven
hundred six. Write a numeric expression that represents the length of the cable.
|
|
|
101.
|
James wants to plant some flowers in a cube-shaped planter box. If one edge of
the box measures  inches, how much soil will be needed to fill the
planter?
|
|
|
Write a rule for the sequence. Write an expression for the nth term in
the sequence.
|
|
|
102.
|
|
|
|
103.
|
|
|
|
104.
|
Make a table of values and graph for the equation  .
|
|
|
Find the surface area of the solid.
|
|
|
105.
|
a. | 1,328  | b. | 1,920  | c. | 664  | d. | 61  |
|
|
|
Find the unknown length. Round to the nearest tenth, if necessary.
|
|
|
106.
|
a. | 26.0 in. | b. | 22.8 in. | c. | 19.6 in. | d. | 9.8 in.
|
|
|
|
107.
|
a. | 2.2 in. | b. | 4.8 in. | c. | 3.4 in. | d. | 2.9
in. |
|
|
|
Find the slope of the line.
|
|
|
108.
|
|
|
|
109.
|
What is the value of the expression 
|
|
|
The three points are vertices of a triangle. Find the slope of each side of the
triangle.
|
|
|
110.
|
|
|
|
111.
|
|
|
|
Simplify the product. Write your answer using an exponent.
|
|
|
112.
|
|
|
|
113.
|
|
|
|
114.
|
In pottery class, Anthony made a cylindrical vase that is 13 centimeters tall.
Its base has a radius of 4 centimeters. He wants to paint the outside of the vase, including one
base. How many square centimeters will Anthony have to paint? Round to the nearest whole number. 
|
|
|
115.
|
 Which table was created based on the graph
above?
|
|
|
116.
|
What type of correlation might you expect for the scores on a history test and
the amount of time students spent watching television on the night before the test? Explain.
a. | not enough information | b. | Negative correlation. In general, the more time
spent watching television on the night before a test will result in a lower test
score. | c. | Positive correlation. In general, the more time spent watching television on the
night before a test will result in a higher test score. | d. | No correlation. In
general, the more time spent watching television on the night before a test will not result in a
lower test score. |
|
|
|
Determine the number that correctly completes the equation.
|
|
|
117.
|
|
|
|
118.
|
|
|
|
119.
|
Find an ordered pair that is a solution of  a. | Sample answer:  | c. | Sample answer:  | b. | Sample answer:  | d. | Sample answer:  |
|
|
|
120.
|
A certain gas escapes from a tank according to the formula  where
e represents the rate that the gas escapes, in gallons per minute, and p represents the
pressure, in pounds per square inch. At what rate does the gas escape when the pressure is 1024
pounds per square inch? Round to the nearest whole number. a. | 61,440 gallons per minute | c. | 3840 gallons per
minute | b. | 62 gallons per minute | d. | 351 gallons per minute |
|
|
|
121.
|
For which triangle is the relationship b2 
a2 = c2 always true?
|
|
|
122.
|
The point  is a solution of which inequality?
|
|
|
Find the surface area of the net.
|
|
|
123.
|
|
|
|
124.
|
The table below shows the relationship between x and y.  Write a function rule that relates x and y.
|
|
|
Let a and b represent the lengths of the legs of a right
triangle, and let c represent the length of the hypotenuse. Find the unknown
length.
|
|
|
125.
|
|
|
|
126.
|
a. |  | b. |  | c. | 2 | d. | 4 |
|
|
|
127.
|
The table below gives some of the points that satisfy a linear function. Which graph represents the linear
relationship between x and y?
|
|
|
128.
|
The graph shows the contents of the fuel tank of a truck as it travels down an
interstate freeway.  What information is given by the
graph? a. | The truck is traveling 0.25 miles on each gallon of fuel it
burns. | b. | The truck is using 0.25 gallons of fuel each mile it travels. | c. | The truck is using
0.1 gallons of fuel each mile it travels. | d. | The truck is traveling 0.1 miles on each gallon
of fuel it burns. |
|
|
|
Find the surface area of the solid. Round to the nearest tenth.
|
|
|
129.
|
a. | 960.1 m2 | b. | 152.8 m2 | c. | 480.0 m2 | d. | 88.8
m2 |
|
|
|
Simplify the product.
|
|
|
130.
|
|
|
|
Find the area of the trapezoid.
|
|
|
131.
|
|
|
|
132.
|
What is the equation of a line that is parallel to the x-axis and passes
through 
|
|
|
133.
|
Which set of numbers could represent the sides of a right triangle?
a. | 12, 35, 37 | c. | 11, 35, 38 | b. | 11, 36, 38 | d. | 12, 36, 37 |
|
|
|
134.
|
Which of the following graphs shows a set of points for which an increase of 2
in any x-value corresponds to a decrease of 3 in the y-value?
|
|
|
135.
|
Which of the following relations is a function?
|
|
|
136.
|
Which point is a solution of the inequality 
|
|
|
Let a and b represent the lengths of the legs of a right
triangle, and let c represent the length of the hypotenuse. Find the unknown length. Then find
the area and perimeter.
|
|
|
137.
|
a. | 17.6 ft, 42.1 ft | c. | 10.5 ft, 32.9
ft | b. | 4.5 ft, 29 ft | d. | 10.5 ft, 35
ft |
|
|
|
138.
|
a. | 71.68 cm, 94.08 cm | c. | 8.47 cm, 30.87
cm | b. | 16 cm, 44.8 cm | d. | 16 cm, 38.4
cm |
|
|
|
Find the slope and y-intercept of the graph of the equation.
|
|
|
139.
|
|
|
|
140.
|
Select the formula for computing the total area of the trapezoid. 
|
|
|
141.
|
A pet store owner purchased 3 fish. Every month, the number of fish doubles.
After m months the owner will have F fish, where  In how many months
will the owner have 48 fish if none are sold and all of the fish stay healthy? a. | 6 months | c. | 3 months | b. | 5 months | d. | 4 months |
|
|
|
Write an equation in two variables in standard form that represents the values
in the table.
|
|
|
142.
|
|
|
|
143.
|
|
|
|
Find the surface area of the prism, where B is the area of the base,
P is the perimeter of the base, and h is the height.
|
|
|
144.
|
|
|
|
145.
|
Make a table of values and graph for the equation  .
|
|
|
Find the area of the circle with the given radius or diameter. Use 3.14 for  .
|
|
|
146.
|
a. | 15,775.36 | c. | 5024 | b. | 20,096 | d. | 251.2 |
|
|
|
147.
|
 yd a. | 6,500.59  | c. | 200.02  | b. | 371.46  | d. | 285.74  |
|
|
|
148.
|
Find the value of  when  .
|
|
|
149.
|
A ladder is placed 12.5 feet away from a building. It reaches the side of the
building 30 feet above the ground. What is the length of the ladder?
a. | 32.5 feet | c. | 17.5 feet | b. | 9.219 feet | d. | 35 feet |
|
|
|
150.
|
A company has two designs for a new packing box. The first box design is a
rectangular prism with dimensions 4 inches by 8 inches by 16 inches. The second box design is a cube
with the same volume as the prism. Find the volume of the box that is a rectangular prism. Then find
the length of an edge of the cube-shaped box that has the same volume as the first box.
a. | Volume of box that is a rectangular prism:  ;
Edge length of cube-shaped
box: 9.3 in. | b. | Volume of box that is a rectangular prism:  ;
Edge length of cube-shaped box: 7 in. | c. | Volume of box that is a rectangular prism:  ;
Edge length of cube-shaped box: 8 in. | d. | Volume of box that is a rectangular prism:  ;
Edge length of cube-shaped box: 9 in. |
|
|
|
Find the number the correctly completes the equation.
|
|
|
151.
|
|