Solving Equations
What is the value of x?
3x+2=x-6
-4
Q1
C
A pole vaulter rests a 17-foot pole against a wall. If the top of the pole hits the wall 15 feet above the ground, how far from the wall is the bottom of the pole?
8
What is the mean absolute deviation of the following set of numbers?
35,42,41,32,30
4.4
The cost of ordering T-shirts varies directly with the number of shirts ordered. If Emma orders 8 shirts for $16, how much would it cost for her to order 16 shirts?
32
What value of x makes the equation true?
3x+15=6x+6
3
Q2
B
A square sandbox in Trisha's backyard has a side length of 9 feet. What is the diagonal length of the sandbox? Round to the nearest tenths place.
12.7
What is the mean absolute deviation of the following set of numbers?
171,170,174,173,172
1.2
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.
20
What value of x makes the equation true?
$0.65x+$5.00=$0.45x+$10.00
25
Q3
slope=3
y-int=(0,1)
equation=y=3x+1
To Travel to her friend's house, Julie normally walks 63 yards north and 16 yards west from her house. How many yards would Julie walk if she took the diagonal shortcut from her house to Julie's house instead?
65
Write the following number in scientific notation
68750
6.875x10^4
Alex is training for a charity run. He runs on a track every day, and the distance he runs varies directly with the time he spends running. If he covers 4 miles in 36 mins, how long would it take him to run 11 miles?
99
Carl has $64 in his account and is saving $10.50 each week. Beth has $50 in her savings account and is saving $12.50 each week. After how many weeks will Carl and Beth have the same amount in their accounts?
7
Q4
slope=2
y-int.=(0,-1)
equation= y=2x-1
Denise is using a 25 foot ladder to clean the outside of her second story windows. She places the base of the ladder 15 feet away from the house. How high up is her windows?
20
Write the following number in scientific notation
4,005,000
4.005x10^6
Jessica is making friendship bracelets to sell at a craft fair. The number of bracelets she can make varies directly with the amount of time she spends crafting. If she can make 7 bracelets in 2 mins, how long would it take her to make 21 bracelets?
6