6th Grade
Kylie earned $30 for babysitting for 6 hours. At this rate, how much will she earn for babysitting 8 hours?
40
Jenny has a snack mix. For every 2 chocolate chips, there are 6 peanuts. If there are 108 peanuts in the mix, how many chocolate chips are in the mix?
36 chocolate chips
The area of a square is 49 cm^2. What is the perimeter, in cm, of the square?
28 cm
A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b?
y = 4x+2
What is the quotient of 1/6 and 2/9? Express in simplest form.
3/4
On a map, the distance between two towns is 4 ¾ inches. The actual distance between the towns is 380 miles. What is the scale of the map?
1 inch = 80 miles
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
3/6 or 1/2
The function f(x) = –0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function?
The height of the candle before being lit.
What is the coefficient in the expression: 9 + 3x?
3
Claudia bought a television at a 25% discount. The original price of the television was $349. There was a 7% sales tax. How much did she pay for the television, including tax?
$280.07
What is the value of x in the equation shown below? x^3 + 1 = 9
x = 2
A company uses the formula T = 581s + 150p to determine the total cost to purchase s computers and p printers. Which formula can be used to determine the number of printers purchased, given the total cost, T, and the number of computers purchased?
P = (t - 581s) / 150
A box has a square base with each side measuring 10 inches. The height of the box is 4 inches. What is the surface area of the box in cubic inches?
360 cubic inches
The perimeter of a garden is 82 feet. The length is 5 more than twice the width. What is the width of the garden?
12 feet
What positive integer is closest to the value of √ 230?
15
What is the value of the smaller zero of the function f(x) = 2x^2 – 8x – 24?
x = -2
Find the 1st and 3rd quartile of the data. 10, 15, 25, 30, 62, 83
15 and 62
One lap around a track is equal to one-eighth of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was the horse's average speed in miles per minute?
18/40 or 0.45 miles per minute
What is the value of x in the equation shown below? 0.25x + 7 = 4(x – 2)
x=4
Two stores have movies to rent.
• The first store charges a $12.50-per-month membership fee plus $1.50 per movie rented.
• The second store has no membership fee but charges $3.50 per movie rented.
What is the minimum number of movies a person would need to rent in a month for the first store to be a better deal?
A person would have to rent 7 movies a month for the first store to be a better deal than the second store.