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Write Inequalities with < or >
SPORTS Members of the little league team must be under 14 years old. Write an inequality for the sentence.
Let a = person’s age.
Answer: a < 14
1. A
2. B
3. C
4. D0% 0%0%0%
A. a < 10
B. a ≤ 10
C. a > 10
D. a ≥ 10
SPORTS Members of the peewee football team must be under 10 years old. Write an inequality for the sentence.
Write Inequalities with < or >
CONSTRUCTION The ladder must be over 30 feet tall to reach the top of the building. Write an inequality for the sentence.
Let h = ladder’s height.
Answer: h > 30
1. A
2. B
3. C
4. D0% 0%0%0%
A. h < 300
B. h ≤ 300
C. h > 300
D. h ≥ 300
CONSTRUCTION The new building must be over 300 feet tall. Write an inequality for the sentence.
Write Inequalities with ≤ or ≥
POLITICS The president of the United States must be at least 35. Write an inequality for the sentence.
Let a = president’s age.
Answer: a ≥ 35
1. A
2. B
3. C
4. D0% 0%0%0%
A. a > 18
B. a ≥ 18
C. a < 18
D. a ≤ 18
POLITICS To vote, you must be at least 18 years old. Write an inequality for the sentence.
CAPACITY A theater can hold a maximum of 300 people. Write an inequality for the sentence.
Let p = theater’s capacity.
Answer: p ≤ 300
Write Inequalities with ≤ or ≥
1. A
2. B
3. C
4. D0% 0%0%0%
A. p < 10,000
B. p ≤ 10,000
C. p > 10,000
D. p ≥ 10,000
CAPACITY A football stadium can hold a maximum of 10,000 people. Write an inequality for the sentence.
Determine the Truth of an Inequality
For the given value, state whether the inequality is true or false.x – 4 < 6; x = 0
Answer: Since –4 is less than 6, –4 < 6 is true.
–4 < 6 Simplify
0 – 4 < 6 Replace x with 0.?
x – 4 < 6 Write the inequality.
1. A
2. B
0%0%
For the given value, state whether the inequality is true or false.x – 5 < 8; x = 16
A. true
B. false
Determine the Truth of an Inequality
For the given value, state whether the inequality is true or false.3x ≥ 4; x = 1
Answer: Since 3 is not greater than or equal to 4, the sentence is false.
3x ≥ 4 Write the inequality.
3(1) ≥ 4 Replace x with 1.?
3 ≥ 4 Simplify.
1. A
2. B
0%0%
A. true
B. false
For the given value, state whether the inequality is true or false.2x ≥ 9; x = 5
Graph an Inequality
Graph n ≤ –1 on a number line.
Place a closed circle at –1. Then draw a line and an arrow to the left.
Answer:
1. A
2. B
3. C
4. D0% 0%0%0%
Graph n ≤ –3 on a number line.
A.
B.
C.
D.
Graph an Inequality
Graph n > –1 on a number line.
Answer:
Place an open circle at –1. Then draw a line and an arrow to the right.
1. A
2. B
3. C
4. D0% 0%0%0%
Graph n > –3 on a number line.
A.
B.
C.
D.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 25 and 27
B. 57 and 59
C. 157 and 159
D. 1,681 and 1,682
Solve using the guess and check strategy.The product of two consecutive odd integers is 3,363. What are the integers?
(over Lesson 8-5)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 2 keychains, 4 cups, 3 pens
B. 4 keychains, 3 cups, 2 pens
C. 3 keychains, 4 cups, 2 pens
D. 3 keychains, 2 cups, 4 pens
Solve using the guess and check strategy.Jorge decided to buy a souvenir keychain for $2.25, a cup for $2.95, or a pen for $1.75 for each of his 9 friends. If he spent $22.05 on these souvenirs and bought at least one of each type of souvenir, how many of each did he buy?
(over Lesson 8-5)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 27
B. 31
C. 29
D. 25
Solve using the guess and check strategy.A number squared is 729. Find the number.
(over Lesson 8-5)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 5 quarters, 5 dimes, 9 nickels
B. 7 quarters, 9 dimes, 3 nickels
C. 2 quarters, 13 dimes, 4 nickels
D. 6 quarters, 3 dimes, 10 nickels
Solve using the guess and check strategy.Candace has $2.30 in quarters, dimes, and nickels in her change purse. If she has a total of 19 coins, how many of each coin does she have?
(over Lesson 8-5)
1. A
2. B
3. C
4. D
0% 0%0%0%
A. 4 people
B. 5 people
C. 6 people
D. 7 people
In the Brown home, there are 30 total legs on people and pets. Each dog and cat has 4 legs, and each family member has 2 legs. The number of pets is the same as the number of family members. How many people are in the Brown family home? Solve using the guess and check strategy.
(over Lesson 8-5)
