ALGEBRA 1 ASSIGNMENT 2.1
NAME
SHOW ALL WORK in order to list the consecutive integers that fit the given criteria.
1) 3 consecutive integers have a sum of 27.
2) 4 consecutive integers have a sum of -50.
3) 3 consecutive odd integers have a sum of 15.
4) 5 consecutive even integers have a sum of 90.
5) 4 consecutive odd integers have a sum of -8.
6) 3 consecutive integers have a sum of 39.
Each integer is 4 more than the previous one.
ALGEBRA 1 ASSIGNMENT 2.2
NAME
List the calculations needed to find missing value that leads to the desired average.
Calculate on the first step only in order to simplify the fraction. (See example)
EX)
Given: 3, 5, 8, 6, 3
Desired average: 6
7)
Given: 9, 5, 6, 12
Desired average: 8
8)
Given: 3, 11, 26, 4, 10
Desired average: 13
9)
Given: 86, 90, 84, 91
Desired average: 90
10)
Given: Average of 6 values is 30
Desired average: 35
11)
Given: Average of 9 values is 108
Desired average: 110
ALGEBRA 1 ASSIGNMENT 2.3
NAME
List the calculations needed to solve for the variable in each equation. If an equation has either infinite or no
solutions, say so. Calculate only the distributions & the like terms in the first inverse operations. (See example)
EX)
4x  7  2x  31
12)
3k  5  7k  21
13)
5n  9  3n  7
14)
3  4q  10q  10
15)
13  6 y  29  11y
16)
6c  56  4(3c  5)
17)
3(1  d )  5  3d  2
18)
 3(2n  5)  0.5(12n  20) 19)
2( w  3)  5  3( w  1)
Translate each verbal sentence into an algebraic one, then show the steps to solve it as before.
20) The sum of 4 times a number and 15 is equal to the difference of 6 times the number and 11.
21) Double a number, increased by 6, is three less than five times the number.
ALGEBRA 1 ASSIGNMENT 2.1B
NAME
SHOW ALL WORK in order to list the consecutive integers that fit the given criteria. (2 POINTS EACH)
22) You have a set of 2 consecutive integers. Four times the greater integer is 1 more than 5 times the lesser
integer.
23) You have a set of 3 consecutive even integers. Three times the third integer is the same as increasing twice
the first integer by 38.
24) You have a set of 2 consecutive odd integers. Doubling the greater integer is equal to 13 less than 3 times
the lesser integer.
25) You have a set of 3 integers, each one being 3 higher than the previous one. The sum of the second and
third integers is 1 more than 4 times the first integer.
ALGEBRA 1 ASSIGNMENT 2.4
NAME
Use inverse operations to rewrite/solve each formula for the variable specified.
26) Solve for x:
27) Solve for m:
28) Solve for a:
29) Solve for n:
x y 7
km  3
a
4
b
n  v  10
30) Solve for r:
31) Solve for p:
32) Solve for b:
d  rt
p
6
4q
b  2x  c
33) Solve for z:
34) Solve for y:
35) Solve for t:
xy  z  w
3
yz
5
I  prt
EXTRA CREDIT – Each of these equations require TWO inverse operations in order to be rewritten.
*) Solve for r:
**) Solve for x:
***) Solve for w:
r 9
h
5
2x  4 y  8
P  2l  2w
ALGEBRA 1 ASSIGNMENT 2.5
NAME
List the appropriate calculations needed to solve for the missing value in each proportion. Calculate ONLY the
initial multiplication on problems with addition sentences (and distributions, if you choose to use them).
EX)
6
x

15 25
1)
20
x

28 21
EX)
x  2 22.5

4
10
4)
6
7

14 x  3
2)
16 9

7 b
5)
3)
2
8

0.21 n
5
60

3 x  12
Create the proportion for each situation, then list the appropriate calculations.
6) Jun earns $152 in 4 days. At that rate, how many days will it take him to earn $532?
7) The scale on a map states that 2 centimeters = 40 kilometers. If two cities are 3.2 centimeters apart on the
map, what is their actual distance apart in real life?
8) What number is 40% of 80?
9) 25 is 125% of what number?
10) 45 is what percent of 30?
ALGEBRA 1 ASSIGNMENT 2.6A
NAME
Create the equation for each situation, then list the appropriate calculations needed to solve it.
Show all calculations only for the underlined parts of each question.
11) A group of kids who own a lemonade stand, Misty, May and Dawn, divide their profits each day from the
lemonade stand they run. They typically divide the profits into shares at a ratio of 2:3:4, based on their
respective contributions. Last Saturday, there was a total of $120 in profits.
Find the value of each share of the profits last Saturday. Then, determine how much money each girl took home
from the profits.
12) In the same situation from #1, there was $120 again the following week, but Dawn was sick, so she did not
take part. So, the other girls split the profit according to the number of shares they normally take.
Find the value of each share of the profits this time. Then, determine how much money each girl took home
from the profits.
Calculate the percent of change. Calculate only the raw change.
EX)
Original: $9
New: $12
13)
Original: 50
New: 70
14)
Original: 58
New: 152
15)
Original: 15.6
New: 11.4
16)
Original: 85
New: 90
ALGEBRA 1 ASSIGNMENT 2.6B
NAME
Create the equation for each situation, then list the appropriate calculations needed to solve it.
Show all calculations only for the underlined parts of each question.
Calculate the final cost of each item after applying the tax or discount.
EX) A $40 coat with a 6% sales tax
18) A $45 shirt with a
40% discount
17) A $14 umbrella with a 5.5% sales tax
19) An $18.50 hat with a
6.25% sales tax
*) A $120 lamp on a
20% discount with a 6% sales tax
Calculate the simple interest to the nearest penny. (Convert percents and units of time appropriately.)
20) $2500 earning 4%
interest for 3 years
21) $5000 earning 2%
interest for 40 months
22) $12000 earning 3.5%
interest for 13 weeks