Linear Problems
In equation y = 5x-8, what is the slope?
5
Ashley's mother bought some bottles of juice for her family. The juice was on sale for 3 bottles for $4.50. How much did Ashley's mother spend for 8 bottles of juice?
$12
15x - 10 = 20
x = 2
The area of square ABCD is 400cm2. What is the length of one side of the square?
20cm
Triangle ABC is dilated by a scale factor of 1.5 to create triangle A'B'C'. Is the new triangle larger or smaller than the original triangle?
Larger
A line has a y-intercept of 18 and a slope of -2. Write the equation for the line.
y = -2x + 18
Caroline used the following formula to determine t (sales tax) on p (total amount spent), at the candle shop where she works: t = 0.0825p A customer bought a box of red candles for $15 and 2 scented candles for $20 each. What is the sales tax (t) on the customer's candle purchase?
$4.54
14 - 4x = 26
x = -3
A right triangle has a base length of 14in and a height of 7in. What is the length of the hypotenuse (diagonal side)?
15.7in
Point A(3,7) is translated 1 unit right and 4 units up. What are the coordinates of the translated point A'?
A'(4,11)
A line crosses between 2 points: 1. (0,4) and 2. (2,8). What is the slope of the line?
m = 2
A store’s records showed that during a one-month period, 3 gallons of milk were sold for every 2 boxes of cereal sold. If 2,864 boxes of cereal were sold that month, how many gallons of milk were sold?
4,296 gal
20x - 2 = 8
x = 1/2
A cylinder has a diameter of 10in and a height of 36in. What is volume of the cylinder?
2,827.4in3
The shape drawn on the board is reflected over the y-axis. What will the reflected shape look like?
Draw answer on board
Matt's bank account is represented by the equation:
y = -25x + 500
If y represents the money in his account and x represents the number of weeks, how many weeks does Matt have until he is completely broke?
20 weeks
Gym A charges a registration fee of $75, plus $35.75 per month for members. Gym B charges a registration fee of $164, plus $17.95 per month for members. After how many months will the total cost for Gym A and Gym B be the same for members?
x = 5 months
x/5 + 4 = 6
x = 10
The base of the square pyramid shown has an area of 576cm2. If the height of the pyramid is 20cm, what is the volume of the pyramid?
3,840cm3
A triangle ABC with points A(8,12), B(16,20), and C(20,12) is dilated by 1/2. What are the coordinates of the new triangle A'B'C'?
A'(4,6), B'(8,10), C'(10,6)
Write an equation in slope-intercept form of the line that passes thru the points (4,13) and (8,18). Your slope will be a decimal number.
y = 1.25x + 8
Write an equation that matches the following statement: Six less than four times a number is two more than three times that number.
4n - 6 = 3n + 2
(5 + x)/2 = 4
x = 3
The floor of a room measures 12ft by 10ft. The room has 9-foot ceilings. The walls of the room are to be painted. What is the area that will be painted?
396ft²
A square in quadrant 2 is rotated 180o clockwise around the origin. What quadrant is the new square going to be located in?
Quadrant 4