Chapter 8 – Hand-in Assignment #1
Solve each equation for x
1. 2𝑥 + 6 = 10
2.
𝑥−5
2
4.
𝑥
3
5.
𝑥
9
= 3
3. − 4(2𝑥 − 7) =− 44
−5=2
=− 5
6. 6𝑥 + 2(𝑥 − 10) = 36
7. 9𝑥 =− 27
8.
𝑥
2
= 7
10.
−35
𝑥
11.
2𝑥−14
2
= 5
=
5
6
12. 8𝑥 = 72
9. 5(− 4𝑥 + 4) = 180
13. 3𝑥 + 6(2𝑥 − 2) = 63
14. 3(𝑥 + 8) = 27
15.
2𝑥−6
5
= 4
16. 3𝑥 − 10 = 14
17. 3𝑥 + 5(5𝑥 + 3) = 155
18.
19.
3𝑥
2
24
𝑥
− 1= 8
= 8
20.
𝑥+10
14
=
3
7
Chapter 8 – Hand-in Assignment #3
1. The sum of 3 consecutive numbers is 87, what are the numbers?
2. A piggy bank contains only quarters and nickels and there is a total of 60 coins. The total
value of coins in the bank is $7.40. How many quarters are in the piggy bank?
3. Alan, Bob and Charles worked together on a job and earned a combined total of $380.
Alan earned $40 less than Bob. Charels earned twice as much as Alan. How much did
Alan earn?
4. A group of 266 persons consists of men, women, and children. There are four times as
many men as children, and twice as many women as children. How many of each are
there?
5. Lia walks to the mall from her house at 5 mph. 10 minutes later, Lia’s sister Megan starts riding
her bike at 15 mph (from the same house) to the mall to meet Lia. They arrive at the mall the
same time.
a. How long did it take Megan to get there?
b. How far is the mall from the sisters’ house?
6. A square piece of paper is folded in half to make a rectangle. The perimeter of the
rectangle is 34.5 cm.
a. What is the side length of the square piece of paper?
b. What are the dimensions of the rectangle?