UNIT 2B Review
Solve.
1) −9𝑏 + 1 + 7𝑏 = −3𝑏 + 6
3) 5(2𝑧 − 3) = 9(𝑧 + 4)
5)
3
4
(6x + 30) = x + 5(x + 4) – 2x
Name
2) 6(𝑥 − 24) = 12
4) 𝑦 − 9 − (𝑦 + 8) = 4𝑦
6) 3(3𝑔 − 22) = 9𝑔 − 66
3
9
7) −4(5𝑎 + 22) = 2(10𝑎 + 16)
8)
9) |𝑥 + 5| = 6
10) |4𝑥 − 3| = 21
11) |2𝑥 + 1| − 4 = 6
12) 2 ;3 + 3; = 1
13) ax – n = r for x
14)
15)
A
B
+ t = 4v for r
8
𝑥−4=5
<
=< ? @
A
= y for x
Create and equation for each problem and then solve it:
1) Three-fifths of what number equals one?
2) The product of 2 more than a number and 10 is 36 more than 8 times the number. What is the number?
3) Fifteen is added to the product of a number and 6. The result is 9.
Find the number.
4) A 46-foot piece of rope is cut into three pieces so that the second piece is three times as long as the first
piece, and the third piece is two feet more than seven times the length of the first piece. Find the lengths
of the pieces
5) It took the Shelby family five and a half hours round trip to drive from their house to their beach house
154 miles away. Find their average speed
6) One-foot-square ceiling tiles are sold in packages of 50. Find how many packages must be bought for a
rectangular ceiling 18 feet by 12 feet
7) The sum of two consecutive integers is 99. Find the integers.
8) The sum of two consecutive odd integers is 40. Find the integers.
9) A shirt costs $12.00. If the sales tax is 7%, find the total cost.
10) Find the discounted price. radio: $45.00 discount: 30%
11) A jacket costs $75.00 retail. A warehouse outlet discounts the price by 20%. If the sales tax is 6%, find
the final price.
12) Bill wants to make a 65% sugar solution. He has already poured 1 fl. oz. of a 10% sugar solution into a
beaker. How many fl. oz. of a 70% sugar solution must he add to this to create the desired mixture?
13) How many liters of a 40% acid solution must be added to 12 liters of a 20% solution to obtain a 25%
solution?