Download Intermediate Algebra Aug 29/30, 2016 Name: Simplify 1. −3 − (4

Intermediate Algebra
Aug 29/30, 2016
Name:_______________________________
Simplify
1. −3𝑦 − (4𝑦 + 3𝑥)
2. (−6𝑎 − 𝑏) − 5(2𝑏 + 𝑎)
3. [6(𝑥 + 4) − 12] − [5(𝑥 − 8) + 14]
Solve the equation.
4. 3 − 4(𝑥 + 2) = 7
5.
2
𝑥
3
1
+ 5 𝑥 = 10 + 2𝑥
Intermediate Algebra
Due: Sep 7/8, 2016
Name:_______________________________
Solve the inequalities or equations.
1. 5𝑥 − 3 ≥ −18
2. −2(𝑥 − 4) > 𝑥 − 20
3. |3𝑥 − 1| = 14
4. |3𝑥 − 1| ≥ 14
5. −2|𝑥 − 4| + 6 = 10
6. |2𝑥 + 5| = 3𝑥 + 4
7. |
𝑥−4
|+
2
1<5
Intermediate Algebra
Sep 14/15, 2016
Name:_______________________________
1. Tickets for a drumline competition cost $6 at the gate and $4 in advance. Six hundred tickets
were sold at the gate. The total revenue from tickets sales was $5400. How many advance
tickets were sold?
8. The selling price is $67.20. The markup rate is 60%. What is the cost?
9. The width of a rectangle is 24 meters. The perimeter of the rectangle must be at least 120
meters and not more than 146 meters. Find the interval for the length x.
10. You invested a total of $30,000 in 2 funds earning 6.5% and 9% simple interest. During 1 year,
the 2 funds earned a total of $2200 in interest. How much did you invest in each fund?
11. You need to strengthen a 22% alcohol solution with a pure alcohol solution to obtain a 40%
solution. How much pure alcohol should you add to 100 milliliters of the 22% solution?
12. One person can complete a typing project in 6 hours, and another can complete the same
project in 9 hours. How long will it take the two people working together to complete the
project?
13. A floral shop receives a $384 order for roses and carnations. The order contains twice as many
roses as carnations. The prices per dozen for the roses and carnations are $18 and $12,
respectively. How many of each type of flower are in the order?
Intermediate Algebra
Due: Sep 28/29, 2016
Name:_______________________________
1. Simplify
a. (2𝑎2 𝑏 5 )3
c.
52 𝑥 2 𝑦 −3
54 𝑥 −6 𝑦 2
2. Simplify
a. (3𝑥 2 + 5𝑥 − 2) + 2(𝑥 3 − 2𝑥 2 + 𝑥 + 1)
b. (𝑥 3 − 2𝑥 2 + 𝑥 − 3) − (𝑥 2 − 2𝑥 + 1)
b. 3𝑥 2 ⋅ 5𝑥 4
Intermediate Algebra
Due: Oct 3/4, 2016
Name:_______________________________
1. Do a long division
6𝑥 3 +3𝑥 2 +𝑥−1
3𝑥+1
2. Do a Synthetic division (𝑥 2 + 4𝑥 − 5) ÷ (𝑥 − 1)
3. Factor
a. 12𝑡 4 + 15𝑡 3
b. 9𝑥 2 𝑦 3 + 12𝑥 3 𝑧
c. 𝑥 2 − 5𝑥 − 50
d. 𝑢2 − 2𝑢𝑣 − 8𝑣 2
Intermediate Algebra
Due: Oct 19/20, 2016
Name:_______________________________
3𝑥−5
1. Find the domain of 𝑓(𝑥) = 𝑥 2 −4.
2. Simplify.
a.
b.
𝑎16 𝑏 5 (5𝑎+1)6
𝑎8 𝑏 2 (5𝑎+1)11
𝑦 3 − 25𝑦
𝑦2
+ 2𝑦 − 15
3. Combine and simplify.
a.
b.
5𝑥
8
+ 11−3𝑥
3𝑥−11
3𝑥
𝑥+1
2
− 𝑥−5
Intermediate Algebra
Due: Oct 26/27, 2016
Name:_______________________________
1. Find the domain of the function 𝑦 =
2. Simplify
3. Subtract
3𝑥−1
.
𝑥 2 −4
2𝑥 2 −9𝑥+4
.
𝑥 2 −𝑥−12
𝑥
1
− 𝑥 2 −𝑥−2.
𝑥 2 −5𝑥+6
4. Solve the equation
3𝑥
12
= 2
+ 2.
𝑥+1 𝑥 −1
Intermediate Algebra
Due: Nov 2/3, 2016
Name:_______________________________
Simplify
1. 3√2 − √2
2. 2√6 + 8√6 − 3√6
3. 5√12 + 16√27
4. √25𝑦 + √64𝑦
Intermediate Algebra
Due: Nov 9/10, 2016
Name:_______________________________
Simplify
1. √72𝑥 3 𝑦 2
2.
√56𝑥 3
√8
3. 5√12 + 14√27
4. (2√7 − 4)(√7 + 1)
5. Solve the equation √3𝑡 + 1 = 2 − √3𝑡.