
Solve linear inequalities by using multiplication and division
Authored by Ahmed Hindawi
Mathematics
8th Grade
Used 7+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using multiplication, solve the inequality: 3x represents the number of apples Evelyn has. How many apples can Evelyn have if she has less than 15 apples?
Evelyn can have 5 apples
Evelyn can have less than 3 apples
Evelyn can have less than 5 apples
Evelyn can have more than 5 apples
Answer explanation
To solve the inequality 3x < 15, divide both sides by 3. This gives x < 5. Therefore, the correct choice is x < 5.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using multiplication, solve the inequality: Ava has more than twice the number of apples as Evelyn. If Evelyn has -5 apples, how many apples does Ava have?
Ava has less than 2 apples
Ava has more than -5 apples
Ava has less than -5 apples
Ava has 5 apples
Answer explanation
To solve the inequality -2y > 10, divide both sides by -2. Remember to flip the inequality sign when dividing by a negative number. Therefore, y < -5 is the correct choice.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using multiplication, solve the inequality: 4z represents the number of apples Luna has, and it should be less than or equal to 20 to stay within her budget.
Luna can buy 5 or fewer apples
Luna can buy more than 5 apples
Luna can buy exactly 5 apples
Luna can buy 5 or more apples
Answer explanation
To solve the inequality 4z <= 20, divide both sides by 4. This gives z <= 5. Therefore, the correct choice is z <= 5.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using multiplication, solve the inequality: 2a >= 16
a > 16
a = 16
a <= 8
a >= 8
Answer explanation
To solve the inequality 2a >= 16, divide both sides by 2. This gives a >= 8. Therefore, the correct choice is a >= 8.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using multiplication, solve the inequality: Anika has 5 times less money than Ava. If Ava has more than $25, how much money does Anika have?
Anika has $5
Anika has less than $5
Anika has more than $5
Anika has less than $5
Answer explanation
To solve the inequality 5b < -25, divide both sides by 5. This gives b < -5. Therefore, the correct choice is b < -5.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using division, solve the inequality: 2x represents the number of apples Michael has, and it is greater than 10. How many apples does Michael have?
Michael has more than 5 apples
Michael has exactly 5 apples
Michael has less than 5 apples
Michael has more than 10 apples
Answer explanation
To solve the inequality 2x > 10, divide both sides by 2. This gives x > 5. Therefore, the correct choice is x > 5.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using division, solve the inequality: -4y <= 16
y <= -4
y = 16
y > 4
y >= -4
Answer explanation
To solve the inequality -4y <= 16, divide both sides by -4. Remember to flip the inequality sign when dividing by a negative number. The correct choice is y >= -4.
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