Student: Class: Date: 1. Last
week Randy worked 42 hours in 5 days. Which equation could Randy use to find the average number of hours he worked each day?
A. B.
5h = 42
C. D.
2.
42h = 5
Represent the following expression algebraically: A number, x, decreased by the sum of 2x and 5 A.
(2x + 5)
B.
x - (2x + 5)
C.
x - 2x + 5
D.
(x + 2x) - 5
3. Which expression is equivalent to 4x + 3z + 5y + 3x + y?
4.
A.
13y + 3z
B.
10x + 6y
C.
7x + 6y + 3z
D.
7x + 5y + 3z
The cost of skating at an ice-skating rink is $11.00 for an adult and $6.50 for a child under the age of 12. Which equation can be used to find y, the total cost in dollars, to skate at the ice-skating rink for 1 adult and x children under the age of 12? A.
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B. C. D.
5.
6.
¿Cuál es el valor de la expresión A.
74
B.
88
C.
106
D.
124
cuando
?
Write an algebraic expression… Part A: that has three terms. _______________________________ Part B: in which one term is the product of two variables.________________________ Part C: that is the sum of a product and a constant._____________________________
7.
¿Cuál de los siguientes enunciados muestra un valor de x que hace la desigualdad verdadera?
A. B. C. D.
8.
Simplify: 20 - 5 + (13 - 3) A ............................................ 1 B ............................................ 2 C ............................................ 2 D ............................................ 2
9.
Which shows how to expand 95? A.
95
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10.
11.
B.
9×5
C.
5×5×5×5×5×5×5×5×5
D.
9×9×9×9×9
Erik made a model train that was 25 feet shorter in length than an actual train. Let m represent the length of Erik's model. Which expression represents the length of the actual train? A.
25 - m
B.
25m
C.
m + 25
D.
m - 25
Which graph shows the solution set for this inequality? y + 9 < 11 A.
B.
C.
D.
12.
Which expression is equivalent to
?
A. B. C. D.
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13.
Selena is a freelance graphic artist who charges $65 per hour for her services. A client paid her $195 for her last project. The equation below represents this situation. 65h = 195 How long did Selena work on that project? A.
14.
B.
3 hours
C.
5 hours
D.
130 hours
A student on a basketball team plans to raise $300 for her team by doing odd jobs for people in her neighborhood. She will charge $8 per hour. Part A Write an expression that can be used to calculate how much more money she will still have to earn after working h hours. Answer _______________ Part B Using the expression from Part A, calculate how much money the student needs to raise after working 30 hours. Answer _______________
15.
Which graph shows the solution set for this inequality?
A.
B.
C.
D.
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16.
17.
Jack usa 10 galones de agua en su jardín en un día parcialmente nublado. Esta es agua que usa en su jardín en un día soleado. ¿Cuántos galones de agua usa Jack en su jardín en un día soleado?
A.
galones
B.
galones
C.
galones
D.
galones
la cantidad de
Part A Using only two terms, write an expression that is equivalent to 2x + 3(x + 2). Show your work. Answer ____________________ Part B Write two different expressions that are equivalent to 4 + 3y + (7y + 6), and explain why the two expressions are equivalent.
18.
Which of the following equations is the function rule for the ordered pairs (4,12), (7,21), and (11,33)? A.
B.
y=x+9
C.
y = 3x
D.
19.
20.
Which pair of expressions are equivalent? A.
8(2x + 3) and 4(4x + 24)
B.
4(4x + 6) and 8(2x + 24)
C.
2(8x + 12) and 8(2x + 3)
D.
2(8x + 24) and 4(4x + 24)
Which expression does not equal 15?
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A.
B.
C.
D.
21.
22.
23.
What is the volume of a rectangular prism with side lengths of 5 in., 7 in., and 3 in.? A.
15 in
B.
15 in3
C.
105 in2
D.
105 in3
What is the surface area of the rectangular prism?
A.
192 square inches
B.
272 square inches
C.
392 square inches
D.
480 square inches
Find the area of the figure.
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24.
25.
26.
A.
12 yd2
B.
24 yd2
C.
36 yd2
D.
72 yd2
John agregó fertilizante a un jardín que tiene la forma de la siguiente figura. ¿Cuál es el área del jardín?
A.
120 pies cuadrados
B.
137 pies cuadrados
C.
155 pies cuadrados
D.
190 pies cuadrados
What is the surface area of a cube with edge lengths of 12 inches? A.
144 in2
B.
432 in2
C.
864 in2
D.
1,728 in2
Katrina is making a wall hanging in the shape of a trapezoid. What is the area of Katrina’s wall hanging?
A.
144 square inches
B.
195 square inches
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27.
C.
270 square inches
D.
390 square inches
The figure below is the net of a three-dimensional figure.
If the net were folded along the dashed lines, what three-dimensional figure would it form?
28.
A.
triangular prism
B.
triangular pyramid
C.
rectangular pyramid
D.
cube
Open-top cardboard boxes of different sizes are produced at a factory. The net of a rectangular box is shown in the diagram where r, s, and t vary depending on the size of the box.
Which equation represents A, the surface area, in square feet, of a box with dimensions r, s, and t feet? A.
A = rst
B.
A = 3rt + 2st
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29.
C.
A = 2rs + rt + 2st
D.
A = 2rt + rs + 2st
Three points of parallelogram EFGH are E(-4,-5), F(-2,0), and H(2,-5).
Part A: Plot points E, F, and H on the coordinate plane above and label the points.
Part B: Where would you plot point G to complete the parallelogram? ___________
30.
Leane serruchó una pieza de madera para formar tres triángulos congruentes. La figura de abajo muestra las dimensiones de una porción rectangular de la madera antes de que Leane la serruchara a través de las líneas punteadas.
¿Cuál es el área de cada triángulo formado?
31.
A.
24 pulgadas cuadradas
B.
36 pulgadas cuadradas
C.
72 pulgadas cuadradas
D.
108 pulgadas cuadradas
What is the value of the expression?
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A.
B.
C.
D.
32.
33.
¿Cuál es el valor de la expresión 3.41 × 0.2? A.
0.682
B.
6.82
C.
68.2
D.
682
Which inequality statement shows the following temperature readings from coldest to warmest? -12°, 13°, -5°, and -9°
34.
35.
A.
13 < -5 < -9 < -12
B.
13 > -5 > -9 > -12
C.
-12 > -9 > -5 > 13
D.
-12 < -9 < -5 < 13
What two rational numbers are less than 1.6 but greater than -1.6? A.
1.4 and - 1.7
B.
1 ¾ and 1.5
C.
1 ½ and -1.5
D.
1.4 and -1.6
¿Cuál enunciado describe las posiciones de P ( ) y Q (−9), comparado con la posición de W en la recta numérica?
A.
P está a la izquierda de W y Q está a la izquierda de P.
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B.
Q está a la izquierda de W y P está a la izquierda de Q.
C.
P está a la derecha de W y Q está a la derecha de P.
D.
Q está a la derecha de W y P está a la derecha de Q.
36.
Which letter
A.
R
B.
S
C.
T
D.
U
represents on the number line shown below?
37.
Joe is making a recipe that calls
for teaspoon of cinnamon. His only
measuring spoon holds
teaspoon. How many times will he need to
fill his measuring spoon to get enough cinnamon for the recipe?
A. B.
3
C.
6
D.
12
38.
¿Cuál es el valor de la
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A.
B.
C.
D.
39.
A continuación se muestran las alturas sobre el nivel del mar de cuatro ciudades. ¿Qué lista muestra las alturas ordenadas de menor a mayor? 202 pies, –122 pies , –212 pies, 2 pies A.
–122 pies, –212 pies, 2 pies, 202 pies
B.
–212 pies, –122 pies, 2 pies, 202 pies
C.
2 pies, –122 pies, 202 pies, –212 pies
D.
202 pies, 2 pies, –122 pies, –212 pies
40. Leticia heard on the radio that the temperature in her town is -1°F. She called her cousin Dan who lives
two hours away to ask what the temperature is in his town. He reported -11°F. Which of the following correctly compares the temperatures in Leticia's and Dan's town?
41.
A.
-1°F > -11°F
B.
-1°F < -11°F
C.
-11°F > 1°F
D.
11°F < -1°F
In Miranda's flower garden, 65% of the flowers are tulips. What fraction of Miranda's flowers are tulips?
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A.
B.
C.
D.
42. A clothing store offers a 30% discount on all items in the store.
Part A: If the original price of a sweater is $40, how much will it cost after the discount? Show your work. Answer: ______________ Part B: A shopper bought three of the same shirt and paid $63 after the 30% discount. What was the original price of ONE of the three shirts? Show your work. Answer: ______________ Part C: Every store emplyee gets an additional 10% off the already discounted price. If an employee buys an item with an original price of $40, how much will the employee pay? Show your work. Answer: ______________
43.
44.
A walking trail through a forest preserve is 34,215 meters in length. What is the length, in kilometers, of the trail?
A.
34.215
B.
342.15
C.
3,421,500
D.
34,215,000
At Ken's school, tickets for a concert sold at the rate of 40 per hour. How many tickets were sold in 7 hours? A.
140 tickets
B.
175 tickets
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C.
280 tickets
D.
560 tickets
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45.
La tabla muestra las cantidades, en galones, de pintura azul y pintura amarilla que se mezclaron para formar un tono de pintura verde.
¿Cuántos galones de pintura azul deben mezclarse con 25 galones de pintura amarilla para formar el mismo tono de verde?
46.
A.
12
B.
14
C.
15
D.
17
Un camión entregó 80 toneladas de ladrillos en 4 horas. El camión entregó la misma cantidad de ladrillos por hora. ¿Cuántas toneladas de ladrillos entregó el camión por hora? A.
de tonelada por hora B.
de tonelada por hora
47.
C.
4 toneladas por hora
D.
20 toneladas por hora
Which shows the ratio "44 to 100" written as a percent, decimal, and a fraction in simplest form? A.
B.
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C.
D.
48.
49.
A theater can sell 600 tickets for each performance. For one performance, 80% of the tickets were sold. For another performance, 91% of the tickets were sold. What was the total number of tickets sold for both performances? A.
480
B.
546
C.
926
D.
1,026
Un puesto de frutas tiene 18 manzanas rojas. Este es el 40% del total de manzanas que tiene el puesto. ¿Cuántas manzanas hay en el puesto? A.
22
B.
30
C.
45
D.
58
50. In Miranda's flower garden, 50% of the flowers are tulips. What fraction of Miranda's flowers are tulips? A.
B.
C.
D.
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51.
52.
Out of 100 customers, 36 made a purchase. What percent of the customers made a purchase? A.
36%
B.
54%
C.
64%
D.
100%
A group of students involved in an after-school club are playing games. 6 girls are playing Monopoly 2 boys are playing chess 9 girls are playing bingo 8 boys are playing Clue Part A Compare the number of boys who are playing chess to the number of boys who are playing Clue using a ratio. Describe the meaning of the ratio.
Part B Compare the number of girls that are playing Monopoly to the number of girls that are playing bingo using a ratio. Describe the meaning of the ratio.
Part C Compare the number of girls that are playing Monopoly to the number of boys that are playing Clue using a ratio. Describe the meaning of the ratio.
53.
A baker makes 5 apple pies for every 3 blueberry pies. Last week the baker made 15 blueberry pies. How many apple pies did the baker make? A.
8
B.
9
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C.
25
D.
40
54. Lisa bought a sweater that costs $60. She had a 20% off coupon. How much money did Lisa save?
55.
56.
A.
$48
B.
$40
C.
$20
D.
$12
Un puesto de frutas tiene 18 manzanas rojas. Este es el 40% del total de manzanas que tiene el puesto. ¿Cuántas manzanas hay en el puesto? A.
22
B.
30
C.
45
D.
58
A bag of marbles contains 4 red marbles, 7 blue marbles, and 9 green marbles.
Part A: Write the ratio of red marbles to total marbles in the bag in simplest form.
Part B: Describe the relationship between the number of blue marbles and number of green marbles in words.
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57.
58.
59.
En un carrito de comidas 4 tacos cuestan $6.00. ¿Cuánto costarían 10 tacos en el carrito de comidas? A.
$11.50
B.
$15.00
C.
$36.00
D.
$60.00
An insect is 3 inches (in.) long. What is the length, to the nearest hundredth of a centimeter (cm), of the insect?
A.
1.18 cm
B.
3.39 cm
C.
5.54 cm
D.
7.62 cm
Un grupo de estudiantes miembros de un club extraescolar están jugando juegos de mesa. 6 niñas están jugando Monopolio 2 niños están jugando ajedrez 9 niñas están jugando bingo 8 niños están jugando Clue Parte A Compara el número de niños que están jugando ajedrez con el número de niños que están jugando Clue mediante una relación. Describe el significado de la relación.
Parte B Compara el número de niñas que están jugando Monopolio con el número de niñas que están jugando bingo mediante una relación. Describe el significado de la relación.
Parte C
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Compara el número de niñas que están jugando Monopolio con el número de niños que están jugando Clue mediante una relación. Describe el significado de la relación.
60.
A truck delivered 80 tons of bricks in 4 hours. The truck delivered an equal amount of bricks each hour. How many tons of bricks did the truck deliver per hour? A.
ton per hour B.
ton per hour
61.
62.
63.
C.
4 tons per hour
D.
20 tons per hour
What is 35% of 56? A.
18.6
B.
19.6
C.
36.4
D.
160
The cost of 625 bolts is $100. What is the cost of 10 bolts? A.
$1.60
B.
$10.16
C.
$16.25
D.
$62.50
The value 3.84 is 12% of what number? A.
0.03125
B.
3.125
C.
32
D.
46.08
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64. To make a shade of orange, you need to use 3 gallons of yellow paint for every 2 gallons of red paint. If
you have 6 gallons of red paint, how much yellow paint do you need? Let n represent gallons of yellow paint. A.
4 gallons
B.
5 gallons
C.
9 gallons
D.
12 gallons
65. Each day, the cafeteria staff at Brookview Middle School orders 80 pints of white milk and 30 pints of
chocolate milk. Which ratio is equivalent to the ratio of white milk to chocolate milk?
66.
A.
8:11
B.
8:3
C.
3:8
D.
3:11
A car traveled 180 kilometers in 3 hours. Which statement best describes the distance traveled by the car per hour? A.
The car traveled
kilometer per hour.
B.
The car
67.
68.
traveled kilometer per hour.
C.
The car traveled 60 kilometers per hour.
D.
The car traveled 540 kilometers per hour.
El costo de 625 tornillos es $100. ¿Cuál es el costo de 10 tornillos? A.
$1.60
B.
$10.16
C.
$16.25
D.
$62.50
Este modelo muestra el número de tazas de azúcar y harina de una receta para tortas.
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Parte A Harry desea hornear una torta pequeña de modo que solo usa 1 taza de azúcar. De acuerdo con la receta, ¿cuántas tazas de harina debería usar? Muestra tus cálculos.
____________________ tazas
Parte B Un panadero desea hornear una torta grande de modo que usa 15 tazas de harina. De acuerdo con la receta, ¿cuántas tazas de azúcar debería usar el panadero? Muestra tus cálculos.
____________________ tazas
Parte C Jordan desea duplicar la receta de la torta. Decide usar 4 tazas de azúcar y 7 tazas de harina. ¿Es correcto o incorrecto lo que decidió Jordan? Explica por qué sí o por qué no.
69.
The table below shows the number of times a rabbit breathes in different intervals of time.
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Part A Based on the data in the table, how many breaths will a rabbit take in 9 minutes? Show your work.
Answer _________________
Part B In the grid below, plot two points to show the number of breaths a rabbit takes in 5 minutes and 10 minutes.
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70.
Find the unit rate: If 12 pages are read in 2 days, how many pages are read in 1 day?
71.
A.
6
B.
1.2
C.
1
D.
12
Veronica surveyed two groups of students to find out how they arrived at school that morning. The data she gathered are in the table below.
Which statement is best supported by the data?
72.
A.
Most students took the bus to school.
B.
Most students rode to school in a car.
C.
Most students rode a bicycle to school.
D.
Most students walked to school.
The line plot below shows the scores students in Ms. Chan's class received on their chapter test. What is the mean of the data, rounded to the nearest whole number?
A.
45
B.
75
C.
77
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D.
73.
80
Chenelle collected data on the number of points scored by the boys' and girls' basketball teams in her town league. Her data is displayed in the box plots shown below.
Which of the following statements best describes the data?
74.
A.
The data for the girls' team and the boys' team have different medians, but the same range.
B.
The data for the girls' team and the boys' team have different medians, but the same range.
C.
The data for the girls' team and the boys' team have different medians, and the data for the boys' team shows more variability.
D.
The data for the girls' team and the boys' team have the same median, but the data for the boys' team shows more variability.
The Randolph County Fair kept track of the average time spent in line for various rides.
Part A: Use the table below to find the mean wait time for the carousel over the course of the week. Round your answer to the nearest tenth.
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Mean: ________________________
Part B: Use the table below to find the mean and mode(s) wait times for the tilt-awhirl over the course of the week.
Mean: ________________________ Mode: ________________________
75.
76.
The number of hours each volunteer at a community center worked one day is listed here: 6, 4, 5, 2, 6, 4, 2, 3, 8, 3. Which statement is true of the data? A.
The mean is 5.
B.
The range is 3. C.
D.
The median is 4.
The mode is 6.
What is the median number of cans collected?
A.
8
B.
9
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77.
78.
79.
80.
C.
10
D.
11
Enrique wants to collect data about the healthy eating habits of his classmates. Which of the following is the best statistical question for Enrique to ask his classmates? A.
How many oranges are in the school cafeteria?
B.
Who ate more apples last week - George or Chyna?
C.
How many pieces of fruit did you eat this week?
D.
Is Samantha's favorite fruit grapefruit?
Gabe asks his classmates, “What is our school mascot?” What type of question is this? A.
A statistical question with a qualitative response.
B.
A statistical question with a quantitative response.
C.
A non-statistical question with a qualitative response.
D.
A non-statistical question with a quantitative response.
What would be the leftmost and rightmost points on a box plot of these data?
A.
3 and 15
B.
4 and 9
C.
4.5 and 10.5
D.
6.5 and 8
What is the lower quartile?
A.
3
B.
4.5
C.
5
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D.
6
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