Algebra 1
Worksheet 3 – 6
Solve and graph the inequality on the number line. Show all work.
1.)
25 > 9 – 4c
3.)
2 >
3𝑚 + 2
−2
> – 10
2.)
– 5 < 2x + 1 < 9
4.)
5 – y < –1
or
– 1 > 3y – 7
5.) If T = {1, 2, 3, 4, 5, 6, 7}, M = { – 2, – 1, 0, 1, 2, 3, 5, 7}, and J = {1, 3, 5, 7}, then tell if the following
T
J
c.) M
M
d.) ø
T
e.) M
∩
b.)
∩
T
∩
J
∩
a.)
∩
statements are True or False:
T
6.) Use conversion factors to tell which of these is longer: 37 feet or 1130 centimeters.
7.) Cherie bought her car for $8,500 and sold it 2 years later for $6200. What percent did the value of
the car decrease?
Write an equation or a proportion, then solve.
8.) Thirty-five percent of what number is 21.7 ?
9.) 96 is what percent of 20?
10.) What number of twelve percent of 320?
11.) Simplify:
102 – 3(7 – 5)4
12.) Solve:
7(2e – 1) – ( – 4) = – 2(3e + 2)
13.) Write an equation that describes each of the following statements:
a.) Herb’s salary is 4 times as big as Gary
14.) Solve for y: – 2x – 3y + 1 = – 8
b.) Ron’s score is 3 more than twice Carrie’s score.
15.) Given the formula: 4my = V, solve for y.
Then find the value of y if m = – 2 and V = 24.
16.) Solve:
16 − 3𝑚
4
= –5
17.) Between what two integers does √42 lie?
(You can’t use a calculator!!)
18.) At a restaurant, you are asked to pay the tip, which is usually 15% of the cost for the food.
If the food bill comes to $32.50, how much will you leave for a tip?
19.) Betsy uses 3 cups of flour in her recipe and is able to make 28 cupcakes. If she has to make
130 cupcakes, how many cups of flour will she need? Round to the nearest cup.
20.) Mum’s Florist sells two dozen roses for $24.60. First Flowers Florist sells 6 roses for $7.50.
Which florist has the lower cost per rose? Show all work to support your answer.
Answers to Worksheet 3 – 6
1.) c > – 4
–4
0
2.) x < 4 and x > – 3
–3
0
4
3.) m < 6 and m > – 2
–2
0
6
4.) y > 6 or y < 2
0
2
6
5.) a.) True b.) False c.) True d.) True e.) False
6.) 1130 cm is longer
7.) 27%
8.) 62
9.) 480%
10.) 38.4
11.) 52
12.) –
1
20
13.) a.) H = 4G
14.) y = –
15.) y =
2
3
𝑉
4𝑚
b.) R = 2C + 3
x + 3
; –3
18.) $4.88
16.) 12
19.) 14 cups
17.) between 6 & 7
20.) Mum’s Florist has the lower price per rose.