Math Quaz!

John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?

0.05(x + 4) + 0.10(x) = $1.25

A band is playing a concert in front of a rectangular field that is 400 feet long and 200 wide. Their manager is trying to estimate how many tickets he should try to sell based on how many people can fit in the field. Concert field laws require there be space for each individual to have 5.8 square feet of space. What is the maximum number of tickets that can be sold and still is in compliance with the law?

13,793 tickets

Which expression represents "5 less than twice x"?

2x - 5

Three times the sum of a number and four is equal to five times the number, decreased by two. If x represents the number, which equation is a correct translation of the statement?

3(x + 4) = 5x - 2

A car uses one gallon of gasoline for every 20 miles it travels. If a gallon of gasoline costs $3.98, how much will the gas cost, to the nearest dollar, to travel 180 miles?

36

Solve algebraically for x: 3(x + 1) - 5x = 12 - (6x - 7) Listen

3X+3-5X = 12-1(6X-7) Distribute 3X+3-5X = 12-6X+7 Add 6X to both sides and then add -5X 4X+3 = 12+7 Subtract 3 from each side and combine w/ 12 4X = 16 Divide 14 from both sides X = 4 Answer

Julie has three children whose ages are consecutive odd integers. If x represents the youngest child's age, which expression represents the sum of her children's ages?

3x + 6

Choose the expression that mathematically represents the difference between 3 times a number and the quantity '5 times another number less 7'

3x-(5y-7)

The total score in a football game was 72 points. The winning team scored 12 points more than the losing team. How many points did the winning team score?

42

The value of y in the equation 0.06y + 200 = 0.03y + 350 is

5,000

Jose wants to ride his bike a total of 50 miles this weekend. If he rides m miles on Saturday, which expression represents the number of miles he must ride on Sunday?

50-m

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

58 + sw

The equation 3(4x) = (4x)3 illustrates which property?

Commutative

Kurt tells Kaitlyn that the term "x" has a coefficient of 0 because there is no number before the variable. Is Kurt correct? If not, how should Kaitlyn respond?

Kurt is incorrect. A term is either a single number or a variable, or numbers and variables multiplied together, and a coefficient is a multiplicative factor, usually a number. Although there isn't a number explicitly written in front of the variable x, we assume the coefficient to be 1

The expression 2(7x − 3) can be described as which of the following?

The product of 2 and the quantity 7 times a number x less 3 & the difference of 14 times a number x and −6

Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write a function, f(x), to represent how much money Alex collected from selling tickets.

The total cost of both is the sum of the two, f(x) = 6.5x + 48.

What is the value of x in the equation x minus 2 over 3 plus 1 sixth equals 5 sixths?

X=4

Which verbal expression is represented by 2(x + 4)?

twice the sum of a number and four

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 40 + 90x. Which statement represents the meaning of each part of the function?

y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.

The solution of the equation 5 - 2x = -4x - 7 is

-6

A DVD costs twice as much as a music CD. Jack buys 2 DVDs and 2 CDs and spends $45. Determine how much one CD costs, in dollars.

$7.50

When solving the equation 4(3x2 + 2) - 9 = 8x2 + 7, Emily wrote 4(3x2 + 2) = 8x2 + 16 as her first step. Which property justifies Emily's first step?

addition property of equality

A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?

c = 60 + 0.05d

In 2013, the United States Postal Service charged $0.46 to mail a letter weighing up to 1 oz. and $0.20 per ounce for each additional ounce. Which function would determine the cost, in dollars, c(z), of mailing a letter weighing z ounces where z is an integer greater than 1?

c(z) = 0.20(z - 1) + 0.46

A teacher asked the class to solve the equation 3(x + 2) = 21. Robert wrote 3x + 6 = 21 as his first step. Which property did he use?

distributive property