Algebra Review
(Find variable)
(Find variable)
8.a. 3x – 6 = 12
8a. x = 6
5. A fish swam for 3 hours at 4 kilometers per hour and then 2 hours at 5 kilometers per hour. How far did the fish travel?
22 kilometers
11a. 24 is what percent of 60?
11a. 40%
1a. 9x + 6 – 4x – 2x + 1 – 15
1a. 3x - 8
9a. (2/7)x = 4
9a. x = 14
4. Patty traveled from her home on her bicycle and went 3 miles to the beach. The trip took her 12 minutes. She returned home at a speed of 12 miles per hour. How many minutes less was the trip to the beach than the return trip?
4. 3 mins less
11c. 19% of 60 is what number?
11c. 11.4
20a. 3w + 4y – 5 - 4w + 8w – 3wy + 4yw + 5
20a. 7w + 4y + wy
3a. 2a – 12 – 3 + 5a = 6
3a. a = 3
17. On a road map, 1 inch represents 30 miles. How many miles would 3.5 inches represent?
17. 105 miles
12. The price of gasoline rose from $1.54 to $3.85.
a. What is the percent increase?
12a. 150%
1d. 3(x + 6) – 2(x +3)
1d. x + 12
3b. (¾)c + ½ - 2/3 = 1
3b. c = 14/9
18. Eight kids got to go to the water park for $60. How many students could go for $195? Explain how you know.
18. [ 26 ]
14. Mr. Webb gave his waiter a $5.60 tip on a $40 bill. What percent tip did he give the waiter? Create a linear model to represent this and use it to calculate the answer.
14. 14%
2a. (3x2 + 6x + 5) – (x2 + 8x + 5)
2a. 2x2 - 2x
19c. Solve for q:
e(2 – 6) + q - 4 = 7e - 10
19c. q = 14e - 6
6. Samantha lives 1.3 miles from school, and she is running late! If she must be there in 30 minutes, at what rate must she walk, in miles per hour, to make it in time? What if she had to be there in 20 minutes, then how fast would she need to walk? Explain.
6. [ 2.6 mph, 3.9 miles per hour ]
13. Marty paid $72 for a jacket that had been marked down 20%. Create a linear model to represent this and use it to calculate the original price of the jacket.
13. $90
2c. (x2 + 8x + 17) + (x2 + x + 3) – (2x2 – 3x + 10)
2c. 12x + 10