Kingdom of Saudi Arabia
Ministry of Education
House of Languages International Schools
Math & Computer
Department
Grade 7
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Algebra 1 First Term Final Revision Sheets Gr.7
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Math Final Revision
Name : ……………………………………..…
Grade : 7
Chapter 3 L1-7
Remember
No more than
At least
Under
Greater
X ≤ 10
X ≥ 10
X ˂10
X ˃10
Multiplication or division by a negative number reverses the inequality symbol.
Q1: Choose the correct answer
1. Describe the solutions of
a.
b.
c.
d.
in words.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
The value of y is a number equal to 3
The value of y is a number less than 4.
2. Write the compound inequality shown by the graph.
–10 –9
–8
a.
b.
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–7
–6
–5
–4
–3
AND
AND
–2
–1
0
1
2
3
4
5
6
7
c.
d.
8
9
10
x
OR
OR
Algebra 1 First Term Final Revision Sheets Gr.7
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3. Which of the following is a solution of
a. 2
b. 14
AND
?
c. 12
d. –6
4. To join the school swim team, swimmers must be able to swim at least 500
yards without stopping. Let n represent the number of yards a swimmer
can swim without stopping. Write an inequality describing which values of
n will result in a swimmer making the team. Graph the solution.
a.
c.
0
n
100 200 300 400 500 600 700 800 900 1000
b.
0
100 200 300 400 500 600 700 800 900 1000
n
0
100 200 300 400 500 600 700 800 900 1000
n
d.
0
n
100 200 300 400 500 600 700 800 900 1000
5. Nehal's Drama class is performing a play. She wants to buy as many tickets
as she can afford. If tickets cost $2.50 each and he has $14.75 to spend, how
many tickets can she buy?
a. 0 tickets
b. 5 tickets
c. 6 tickets
d. 4 tickets
6. Solve the inequality
and graph the solutions. Then write the
solutions as a compound inequality.
a.
–27 –24 –21 –18 –15 –12 –9
–6
–3
0
3
6
9
12
15
18
21
24
27
30
b.
–30 –27 –24 –21 –18 –15 –12 –9
–6
–3
0
3
6
9
12
15
18
21
24
27
30
c.
–27 –24 –21 –18 –15 –12 –9
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–6
–3
0
3
6
9
12
15
18
21
24
27
30
Algebra 1 First Term Final Revision Sheets Gr.7
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d.
–30 –27 –24 –21 –18 –15 –12 –9
–6
–3
0
3
6
9
12
15
18
21
24
27
30
Q2: Describe the solutions of each inequality in words.
Q3: Solve each inequality.
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Algebra 1 First Term Final Revision Sheets Gr.7
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Q4: Solve each inequality and graph the solutions.
Q5: Solve each compound inequality and graph the solutions.
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Algebra 1 First Term Final Revision Sheets Gr.7
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Q6: Solve each inequality and graph the solutions.
1)
2)
3)
4)
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Algebra 1 First Term Final Revision Sheets Gr.7
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Q7: Write and solve the inequality for each situation.
1) Joy wants to save at least $40 for her trip. So far, she has $32. She plans to save
d more dollars. Write, solve, and graph an inequality to show the values of d
that will allow Joy to meet her goal.
2) Phil has a strip of wood trim that is 16 feet long. He needs 5-foot pieces to trim
some windows. What are the possible numbers of pieces he can cut?
5p _ 16; p _ 3.2
; 0, 1, 2, or 3 pieces
3) A teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups. What
are the possible numbers of cups she can fill?
5s _
128; s _ 25.6; 0 to 25 cups
4) At an online bookstore, Kendra bought 4 copies of the same book for the
members of her book club. She got free shipping because her total was at least
$50. What was the minimum price of each book?
5) Ann’s grade is the average of four scores: three chapter tests and a final that
counts as two chapter tests. She scored 72, 90, and 75 on the chapter tests. What
score does she need on the final to have a grade of at least 80?
6) Trey is limiting his diet to no more than 600 calories per meal. For lunch, he
had a can of iced tea and two bowls of soup. The tea had 140 calories. What are
the possible numbers of calories in each bowl of soup?
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Algebra 1 First Term Final Revision Sheets Gr.7
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7) For what values of x is the area of the rectangle greater than the perimeter?
8) The Mexican Tetra is a tropical fish that requires a water temperature between
68 and 77 degrees Fahrenheit, inclusive. An aquarium is heated 8 degrees so
that a Tetra can live in it. What temperatures could the water have been before
the heating?
9) A local company is hiring trainees with less than 1 year of experience and
managers with 5 or more years of experience. Graph the solutions.
10) Nerissa’s car can travel between 380 and 410 miles on a full tank of gas. She
filled her gas tank and drove 45 miles. How many more miles can she drive
without running out of gas?
11) Marty’s allowance is doubled and is now between $10 and $15, inclusive.
What amounts could his allowance have been before the increase? Graph the
solutions.
12) The thermostat for a sauna is set to 175 F, but the actual temperature of the
sauna may vary by as much as 12 F. Write and solve an absolute value
inequality to find the range of possible temperatures. Graph the solutions.
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Algebra 1 First Term Final Revision Sheets Gr.7
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