Math Quizlet

If 125 + 4x = 7y, what is x in terms of y ? x = 4(7y - 125) x = 4(7y + 125) x = (7y - 125) / 4 x = (7y + 125) / 4

x = (7y -125) / 4

In a certain contest, a total of $12,000 was divided among the first-, second-, and third-place winners in the ratio of 3 to 2 to 1, respectively. How much money did the first-place winner of the contest receive?

$6,000

Which of the following is an example of the associative property of multiplication? ab + c = ba + c ab + c = c + ab (ab)c = a(bc) a(b + c) = ab + ac

(ab)c = a(bc)

The community pool has a capacity of 50,000 gallons. It is leaking at a rate of 450 gallons per day. The equation g = 50,000 - 450d can be used to find the number of gallons g remaining in the pool after d days. Which of the following statements is true? 1. g is the dependent variable because the volume is dependent on the number of days d. 2. g is the independent variable because it is what needs to be found. 3. d is the dependent variable because it is being multiplied by the independent rate of 450. 4. Dependent and independent variables cannot be determined in this situation because the equation is linear.

g is the dependent variable because the volume is dependent on the number of days d

Sara went to the store to buy some clothes. She bought six shirts, half as many pairs of pants as shirts, and a fourth as many sweaters as shirts. How many pieces of clothing did Sara buy? Which of the following statements about the solution to the word problem shown must be true?

irregular and concave

A two-dimensional net of a certain three-dimensional figure includes five faces, nine edges, and six vertices. Which of the following three-dimensional figures is represented by the net? Triangular pyramid Triangular prism Rectangular pyramid Rectangular prism

Triangular prism

Which of the following graphs in the xy-plane could be used to solve graphically the inequality x−2<−2(x+1) and shows the solution to the inequality?

because of the real- world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable

3x^5 + 7x^3 - 5 Which of the following lists the coefficients and degrees of the terms in the polynomial shown?

coefficients: 3, 7, -5; degrees: 5, 3, 0

Elisa's number: 5,723,683 Troy's number: 2,678,533 Both Elisa and Troy wrote a number, as shown. The digit 7 in Elisa's number represents how many times what the digit 7 represents in Troy's number? 10 100 1,000 10,000

10

On Greg's map, 1 inch represents 30 miles, and on Lori's map, 1 inch represents 20 miles. The area of a 1-inch by 1-inch square represents how many more square miles on Greg's map than on Lori's map? 100 250 400 500

500

Which of the following has the greatest value? 5 thousands 53 hundreds 506 tens 5,100 ones

53 hundreds

In the formula d=r×t, if d equals 60 and t remains constant, which of the following is equivalent to r ? 60t 60/t t/60 d/60t

60/t

2, 3, a3, a4, a5, ... The first two terms of the sequence shown are 2 and 3. Each subsequent term, beginning with the third, is found by adding the two preceding terms and multiplying the sum by −2. What is the value of a5, the fifth term of the sequence? -14 -12 -10 -8

-8

Which of the following numbers is least? 0.103 0.1041 0.1005 0.11

0.1005

Wai tossed a fair coin 9 times with an outcome of H H T T T T H H H, where H means heads and T means tails. What is the probability that the next toss will be T ? 0.2 0.4 0.5 1.0

0.5

3y + 2y What is the value of the algebraic expression shown when y = 5 ? 15 25 60 85

25

Which of the following is equal to 4(5−2)^2−2^3 ? 16 28 76 136

28

What is the greatest odd factor of the number 2,112 ? 3 21 33 111

33

Bill went to sleep at 9:57 P.M. and awoke the next morning at 6:28 A.M. For how many hours and minutes did he sleep?

8 hours and 31 minutes

The Clearbrook Wildcats basketball team scored an average of 77 points in four games. In the first three games, the team scored 70, 76, and 82 points. How many points did they score in their last game? 70 76 77 80

80

In the number 567,894, what is the value of the digit 6 ? sixty ten thousand six thousand sixty thousand

sixty thousand

Which of the following are equivalent to dividing 288 by 24 ? Select all that apply 1. (288/4) / 6 2. 2(144 / 24) 3. (144 / 12) + (144 / 12) 4. (240 / 24) + (48 / 24)

1, 2, 4

The population of a certain city was 50,000 people. One year later, the population of the same city grew to 50,600. What was the percent increase in the city's population in that one-year period? 0.6% 1.2% 6% 12%

1.2%

In a certain year, 5 percent of the 2,800 employees of a company had a perfect attendance record. Which of the following computations can be used to determine the number of employees with a perfect attendance record? 1/40 x 2,800 1/20 x 2,800 1/5 x 2,800 5 x 2,800

1/20 x 2,800

Which of the following expresses 3/16 as a percent? 0.1875% 1.875% 5.33% 18.75%

18.75% [multiply the fraction by 100 and add a percent symbol. since 3/16 x 100 = 18.75, 3/16 is equivalent to 18.75%]

A pencil is 18 centimeters in length. How long is the pencil in millimeters? 0.18 1.8 180 1,800

180 [The question requires an understanding of the metric system. Since 1 centimeter equals 10 millimeters, 18 centimeters equal 180 millimeters.]

At a yard sale, Tenille sold drinking glasses for $2.00 each and plates for $3.50 each. Nicholas spent a total of $18.00 on drinking glasses and plates at Tenille's yard sale. If Nicholas bought at least one glass and one plate, how many drinking glasses did he buy? 1 2 3 4

2

Which of the following is the product of two even numbers and an odd number, each of which is greater than 1 ? 15 16 20 21

20

Kyle's father set up a savings account for him with an initial balance of $100. Since then, Kyle has been depositing $28 into the account each week. Kyle represents the amount of money he has saved after x weeks by the expression 28x+100. Which of the following is equivalent to Kyle's expression? 4 (7x + 25) 7 (4x + 100) 7 (4x + 25) 4 (7x + 100)

4(7x + 25)

x f(x) 100 60 24 45 18 30 12 Some values of the linear function f are given in the table shown. What is the value of f(100) ?

40

If the geometric sequence below continues to increase in the same way, what is the next number in the sequence? 2, 6, 18, 54, 162, ... 243 324 486 729

486

Tom's company has to ship 1,944 boxes of shoes. If a truck can hold 450 boxes, how many trucks does he need to ship all the boxes?

5

Which of the following is equal to 5(10^0)? 0 1 5 50

5 [10^0 = 1]

Bobby runs a small store. The total number of customers who shopped at the store during each of nine consecutive weeks is recorded in the chart shown. If the number of customers who shopped at the store during the tenth week were included in the data, the mean and median of the data would change but the range would not change. Which of the following could be the number of customers who shopped at the store during the tenth week? Week to Customers= 1 -- 52 2 -- 79 3 -- 44 4 -- 110 5 -- 90 6 -- 68 7 -- 125 8 -- 96 9 -- 88 answer choices: 39 41 73 132

73 [The question requires an understanding of basic statistical concepts. The range is obtained by subtracting the smallest value, 44, from the largest value, 125. In order to modify the mean and median but not the range, the number of customers that shopped at the store during the tenth week must be greater or equal to 44 and less than or equal to 125.]

Consider the algorithm shown. Step 1: Select a numerical value for the variable k. Step 2: Add 3 to k. Step 3: Multiply the result by 8. Step 4: Cube the result. Step 5: End. Executing the algorithm shown is equivalent to evaluating which of the following algebraic expressions? (8k + 3)^3 8 (k + 3)^3 8^3 (k + 3) 8^3 (k + 3)^3

8^3 (k + 3)^3

The Statue of Liberty casts a shadow that is 37 meters long at the same time that a nearby vertical 5-meter pole casts a shadow that is 2 meters long. Based on shadow height, the height, in meters, of the Statue of Liberty must be within which of the following ranges? 115 meters to 120 meters 105 meters to 110 meters 90 meters to 95 meters 60 meters to 65 meters

90 meters to 95 meters

Mr. Smythe has asked his students to come up with function rules for the following table of data. x y -1 1 0 0 Adam says that the function rule is y=−x, Belinda says that the function rule is y=−x2, and Chandra says that the function rule is y=−x2−2x. Which of the three equations could be the function rule for the table?

Adam's and Chandra's only

If one cup of soup costs 2 dollars, which of the following represents the number of cups of soup that can be purchased with d dollars? 2d d/2 d/100 x 2 100 x d/2

d/2

15(4 + 3) = 15 x 4 + 15 x 3 The equation shown demonstrates which of the following? 1. distributive property of multiplication over addition 2. commutative property of multiplication 3. associative property of multiplication 4. additive inverse and additive identity properties

the distributive property of multiplication over addition