Free Printable 7 NYS Math Exam Review

1.

A store sold 125 notebooks in a week. If each notebook costs $3, how much money did the store make?

a)

$150

b)

$375

c)

$500

d)

$250

2.

If a car travels at a speed of 60 miles per hour, how far can it travel in 5 hours?

a)

300 miles

b)

250 miles

c)

400 miles

d)

350 miles

3.

If a box contains 24 chocolates and each chocolate costs $0.50, what is the total cost of all the chocolates?

a)

$6.00

b)

$24.00

c)

$12.00

d)

$18.00

4.

A garden is 35 feet long and 20 feet wide. What is the total area of the garden?

a)

600 square feet

b)

450 square feet

c)

700 square feet

d)

525 square feet

5.

If a train travels at a speed of 80 miles per hour, how long will it take to travel 240 miles?

a)

4 hours

b)

5 hours

c)

3 hours

d)

2.5 hours

6.

A bakery sold 150 cupcakes in a day. If each cupcake costs $2, how much money did the bakery make?

a)

$250

b)

$300

c)

$150

d)

$350

7.

If a rectangle has a length of 15 meters and a width of 10 meters, what is the perimeter of the rectangle?

a)

25 meters

b)

30 meters

c)

50 meters

d)

40 meters

8.

A factory produces 500 toys in a day. If each toy costs $4, what is the total revenue from selling the toys?

a)

$2000

b)

$1500

c)

$3000

d)

$2500

9.

If a tank can hold 1000 liters of water, how many tanks are needed to hold 5000 liters of water?

a)

7

b)

10

c)

5

d)

3

10.

A farmer harvested 300 apples from his orchard. If he sells each apple for $0.75, how much money will he earn?

a)

$200

b)

$150

c)

$250

d)

$225

11.

What is the exact decimal equivalent of $\frac{7}{12}$ ?

a)

$0.583$

b)

$0.58\overline{3}$

c)

$1.714$

d)

$1.71\overline{4}$

12.

Which expression is equivalent to
$7a\ -\ 8\ -\ 12a\ +4?$

a)

$31a$

b)

$19a\ +\ 12$

c)

$-9a$

d)

$-5a\ -\ 4$

13.

Which table shows a proportional relationship between x and y?

a)

b)

c)

d)

14.

Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

a)

6.25x + 7.50 = 26.25

b)

6.25x - 7.50 = 26.25

c)

7.50x + 6.25 = 26.25

d)

7.50x - 6.25 = 26.25

15.

Which situation results in a final value of zero?

a)

the overall change in temperature when the temperature goes from $-10\degree F$ to $10\degree F$

b)

the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level

c)

the total distance a person travels when he bikes 3.1 miles to school and then bikes 3.1 miles back home

d)

the total profit made when a person buys an item for $2.25 and then sells the item for $2.25

16.

On average, Shawnte drinks $\frac{1}{2}$ of a 6-ounce glass of water in $\frac{2}{3}$ hour. How much water does she drink in an hour?

a)

9 ounces

b)

2 ounces

c)

0.75 ounces

d)

4.5 ounces

17.

The lengths and widths of the cell phones are proportional. What is the width, in inches, of the larger version of the cell phone?

a)

2.99

b)

2.26

c)

1.15

d)

3.41

18.

From 12:00 midnight to 6:00 a.m., the temperature decreased by $12\degree C$ . If the original temperature was $12\degree C$ , which expression can be used to represent this situation?

a)

12 - (-12)

b)

12 + 12

c)

12 - 12

d)

-12 + (-12)

19.

a)

$15$

b)

$15\ \frac{3}{4}$

c)

$20\ \frac{3}{4}$

d)

$20$

20.

a)

2

b)

12

c)

14

d)

18

21.

Which two expressions each represent the sale price of the item?

a)

Expression B and Expression C

b)

Expression A and Expression E

c)

Expression B and Expression D

d)

Expression C and Expression D

22.

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of $4\ \frac{1}{2}$ pounds of apples this week at the grocery store?

a)

$6.93

b)

$4.77

c)

$6.48

d)

$6.75

23.

Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the model is 1 inch= 47 feet. What is the actual area, in square feet, of the base of the building?

a)

141

b)

282

c)

2,209

d)

4,418

24.

Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip, without tax?

a)

$2.21

b)

$10.79

c)

$13.17

d)

$15.21

25.

Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white?

a)

41%

b)

50%

c)

59%

d)

63%

26.

a)

$2.5\ +4.25x\ \le\ 25$

b)

$4.25\ +2.5x\ \le\ 25$

c)

$4.25\ +\ 2.5x\ \ge\ 25$

d)

$2.5\ +\ 4.25x\ \ge\ 25$

27.

a)

400

b)

570

c)

630

d)

800

28.

A middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the students would feel about the changes. Which survey method will produce the best representative sample?

a)

survey every fifth student who rides in a car to school

b)

survey 3 randomly selected students from every homeroom

c)

survey every tenth seventh-grade student during lunch

d)

survey 5 randomly selected students from every art, drama, and music class

29.

Which equation represents the relationship between s and t?

a)

$s\ =\ \frac{1}{7}t$

b)

$s\ =\ 7t$

c)

$s\ =\ t\ +\ 2$

d)

$s\ =\ t\ +\ 18$

30.

What value will make the equation true?

-2.1\ -\ _{ }\ \ \ ?\ \ \ \ =\ -1\ \frac{1}{2}

a)

-3.6

b)

-0.6

c)

0.6

d)

3.6

31.

Which expression is equivalent to $2\left(x+7\right)\ -\ 18x\ +\ \frac{4}{5}$ ?

a)

$20x\ +\ \frac{74}{5}$

b)

$20x\ +\ \frac{139}{5}$

c)

$-16x\ +\frac{74}{5}$

d)

$-16x\ +\frac{139}{5}$

32.

Based on the data from that day, what is the probability that the next person to visit the website will purchase more than one piece of artwork?

a)

$\frac{1}{9}$

b)

$\frac{9}{9}$

c)

$\frac{3}{47}$

d)

$\frac{3}{50}$

33.

A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach's order is less than $125.00. Which inequality can be used to determine the greatest number of hats, h, the coach orders?

a)

$5h\ +\ 9.95\ >\ 125$

b)

$5h\ +\ 9.95\ <125$

c)

$9.95h\ +\ 5\ >\ 125$

d)

$9.95h\ +\ 5\ <\ 125$

34.

What is the value of $\frac{3}{7}\times0.1\div\frac{5}{21}$ ?

a)

$\frac{1}{98}$

b)

$\frac{9}{50}$

c)

$\frac{9}{5}$

d)

$\frac{18}{1}$

35.

Which statement correctly describes these data?

a)

The median is 0.5 and the mean is less than the median.

b)

The median is 0.5 and the mean is greater than the median.

c)

The median is 1.5 and the mean is less than the median.

d)

The median is 1.5 and the mean is greater than the median.

36.

Which number line represents the solution to the inequality 125x + 200 ≥ 1200

a)

b)

c)

d)

37.

Dani has 5 pink bows, 1 blue bow, and 4 purple bows. She will randomly choose 1 bow from the box. What is the probability Dani will choose a pink bow?

a)

1/2

b)

2/5

c)

1/10

d)

3/5

38.

What is the solution 2x + 10 = 20

a)

5

b)

15

c)

0

d)

20

39.

Which proportion can be used to find the length of DE in centimeters?

a)

b)

c)

d)

40.

The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced?

a)

8%

b)

80%

c)

60%

d)

40%

41.

A farmer crops 48 acres of land. The circle graphs shows the percentages of land used for some of the different types of crops. How many acres of land are used for corn?

a)

30

b)

70

c)

14.4

d)

144

42.

a)

likely

b)

unlikely

c)

certain

d)

impossible

43.

a)

$1.75

b)

$5.00

c)

$5.25

d)

$7.00

44.

A spinner has five equal-sized sections colored blue, red, orange, yellow, and green. The arrow on the spinner was spun 50 times during an experiment. The results are shown in the table. What is the experimental probability of landing on red?

a)

$\frac{1}{5}$

b)

$\frac{1}{15}$

c)

$\frac{3}{7}$

d)

$\frac{3}{10}$

45.

Which expression is equivalent to $-3\left(2x-8\right)+4x$ ?

a)

$-2x-8$

b)

$-2x+24$

c)

$-10x-8$

d)

$-10x+24$

46.

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79, 73, 72, 70, 72, 66, 81, 75

What is the median daily high temperature, in degrees Fahrenheit, in the city?

a)

71

b)

72.5

c)

73

d)

73.5

47.

The cost for 10 ounces of organic blueberries is $2.70. Which equation can be used to determine x, the cost, in dollars, for 30 ounces of organic blueberries?

a)

$\frac{10}{2.7}=\frac{x}{30}$

b)

$\frac{2.7}{10}=\frac{30}{x}$

c)

$\frac{10}{2.7}=\frac{30}{x}$

d)

$\frac{2.7}{30}=\frac{x}{10}$

48.

At sunset, a thermometer had a reading of 4°F. During the night, the temperature decreased 15°F. After the decrease, what is the total number of degrees that the temperature must change for the thermometer to read 0°F?

a)

$4\degree F$

b)

$11\degree F$

c)

$15\degree F$

d)

$19\degree F$

49.

A machine in a factory makes $2\ \frac{1}{4}$ pounds of nails in $1\ \frac{1}{2}$ hours. At what rate, in pounds per hour, does the machine make nails?

a)

$\frac{2}{3}$

b)

$\frac{3}{4}$

c)

$1\ \frac{1}{2}$

d)

$3\ \frac{3}{4}$

50.

What is the constant of proportionality for the relationship between x and y?

a)

0.25

b)

0.50

c)

1.50

d)

1.75

51.

On a map, two cities are 2.8 inches apart. The map has a scale of 1 inch to 25 miles. How far apart, in inches, would the same two cities be on a map that has a scale of 1 inch to 40 miles?

a)

1.20

b)

1.75

c)

1.60

d)

1.80

52.

What is the value of the expression below?

$-36\div9+3\left(-7\right)+2$

a)

-23

b)

-19

c)

9

d)

15

53.

The equation $y=4.3x$ can be used to determine the total cost, y, in dollars, of x pounds of apples. What does the number 4.3 represent in the equation?

a)

the number of apples in 1 pound

b)

the number of apples in x pounds

c)

the cost of 1 pound of apples

d)

the cost of x pounds of apples

54.

Which expression is equivalent to the expression shown below?

$2+3\left(2x+5\right)$

a)

7+6x

b)

17+2x

c)

25+10x

d)

17+6x

55.

Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds that she golfs is $26.25. Which equation can be used to determine the number of rounds that Clara golfs?

a)

6.25x + 7.50 = 26.25

b)

6.25x - 7.50 = 26.25

c)

7.50x + 6.25 = 26.25

d)

7.50x - 6.25 = 26.25

56.

What is $\frac{1}{2}\%$ of $\left[\left(-0.5\right)\times\left(-\frac{1}{4}\right)\right]$ ?

a)

0.0625

b)

0.00025

c)

0.000625

d)

0.025

57.

Katrina constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the model is 1 inch = 47 feet. What is the actual area, in square feet, of the base of the building?

a)

2,209

b)

4,418

c)

141

d)

282

58.

What value can you plug in for the blank to make the equation true?

$-2.1$ - ___ = $-1\ \frac{1}{2}$

a)

3.6

b)

0.6

c)

-0.6

d)

-3.6

59.

Solve the following equation for x.

$2\left(x-9\right)=9\div\left(-\frac{1}{3}\right)$

a)

-9.0

b)

-4.5

c)

3.0

d)

7.5

60.

Howard has a scale model of the Statue of Liberty.

-The model is 15 inches tall.

-The scale of the model to the actual statue is 1 inch : 6.2 meters.

Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

a)

15x = 6.2

b)

6.2x = 15

c)

$\frac{1}{6.2}=\frac{x}{15}$

d)

$\frac{1}{6.2}=\frac{15}{x}$

61.

Jacob is 12 years younger than twice Elizabeth’s age. Jacob is 28 years old. How old is Elizabeth?

a)

14

b)

16

c)

20

d)

8

62.

Joe’s bathroom floor is 5 feet wide and 8 feet long. He will cover the floor with 3-inch square tiles. How many tiles does Joe need?

a)

120 tiles

b)

160 tiles

c)

360 tiles

d)

640 tiles

63.

A notebook costs $4.50 plus sales tax. After sales tax, the notebook is $4.86. What is the sales tax rate?

a)

6%

b)

7%

c)

8%

d)

9%

64.

Chad built a scale model of a statue. He built the model 7 inches tall to represent the actual height of 15 feet. Which equation below represents the relationship between the actual height (a), in feet, and the height of the model (m), in inches?

a)

a = 7/15 m

b)

m = 7/15 a

c)

a = 0.75m

d)

m = 0.75a

65.

Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how much?

a)

The dragonfly is 4.5 feet per second faster.

b)

The dragonfly is 20.5 feet per second faster.

c)

The butterfly is 4.5 feet per second faster.

d)

The butterfly is 24 feet per second faster.

66.

Kerry walks 3 miles each day. How far will she walk in 7 days?

a)

10 Miles

b)

14 Miles

c)

21 Miles

d)

24 Miles

67.

A recipe that yields 2.5 dozen muffins requires 1.25 cups of flour. Mandy wants to make 10 dozen muffins. How many cups of flour will she need?

a)

2.5 cups

b)

5 cups

c)

10 cups

d)

20 cups

68.

Ronan has fifteen dollars to spend on his cab fare. There is a $3 initial fare and an additional $2.15 per mile. Write an inequality to represent how far Ronan can travel if he can’t spend over fifteen dollars on cab fare.

a)

3x+2.15 > 15

b)

3x+2.15 < 15

c)

3+2.15x > 15

d)

3+2.15x < 15

69.

Given the following equation, write a scenario that would lead to writing the equation. 2r + 15 = 25

a)

You are going to the movies with some friends. You have $25 to spend. The moviecosts $15 and each item at the concession stand costs $2. This equation shows howmany items you can buy at the concession stand.

b)

You are going to the movies with some friends. You have $25 to spend. The movie costs $2 and each item at the concession stand costs $15. This equation shows how many items you can buy at the concession stand

c)

You are going to the movies with some friends. You have at least $25 to spend. The movie costs $15 and each item at the concession stand costs $2. This equation shows how many items you can buy at the concession stand.

d)

You are going to the movies with some friends. You have no more than $25 to spend. The movie costs $15 and each item at the concession stand costs $2. This equation shows how many items you can buy at the concession stand.

70.

The local resale store buys used designer jeans for $15. The store increases their purchase price by 400%. What is the sale price of the designer jeans?

a)

$60

b)

$75

c)

$125

d)

$600

7 NYS Math Exam Review

Total questions: 70

Worksheet time: 2hrs 8mins

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