Solving and Graphing Inequalities
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Whitney Wangare
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the solution set of the inequality: x < 5
x > 5
x = 5
x < 5
x ≤ 5
Answer explanation
The solution set of the inequality x < 5 is x values that are less than 5. Therefore, the correct choice is x < 5.
Tags
CCSS.6.EE.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Graph the inequality -3x ≥ 9 on a number line
x < -3
x ≤ -3
x = -3
x > 3
Answer explanation
The correct choice is x ≤ -3 because the inequality -3x ≥ 9 represents all values of x that are less than or equal to -3.
Tags
CCSS.6.EE.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the inequality 2x + 4 > 10
x > 10
x > 3
x = 3
x < 3
Answer explanation
To solve the inequality 2x + 4 > 10, subtract 4 from both sides to get 2x > 6. Then divide both sides by 2 to find x > 3. Therefore, the correct choice is x > 3.
Tags
CCSS.7.EE.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain the concept of open and closed circles on number lines in the context of inequalities
Open circles indicate values that are not included in the solution set, while closed circles indicate values that are included in the solution set.
Open circles indicate values that are included in the solution set, while closed circles indicate values that are not included in the solution set.
Open circles indicate values that are included in the solution set, while closed circles indicate values that are also not included in the solution set.
Open circles indicate values that are not included in the solution set, while closed circles indicate values that are also not included in the solution set.
Answer explanation
Open circles indicate values not in solution set, closed circles indicate values in solution set.
Tags
CCSS.6.EE.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the inequality 3(x - 2) ≤ 9
x ≥ 5
x = 2
x < 5
x ≤ 5
Answer explanation
To solve the inequality 3(x - 2) ≤ 9, we first distribute the 3, giving us 3x - 6 ≤ 9. Then, we add 6 to both sides to isolate the variable, resulting in 3x ≤ 15. Finally, we divide both sides by 3 to solve for x, giving us x ≤ 5. Therefore, the correct choice is x ≤ 5.
Tags
CCSS.7.EE.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the solution set of the inequality: y ≥ -2
y > -2
y < -2
y = -2
y ≥ -2
Answer explanation
The solution set of the inequality is y greater than or equal to -2, as indicated by the correct choice 'y ≥ -2'.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Graph the inequality 4 + 2y < 10 on a number line
y < 2
y < 3
y = 3
y > 3
Answer explanation
The correct choice is 'y < 3' because it represents all values of y that make the inequality 4 + 2y < 10 true.
Tags
CCSS.7.EE.B.4B
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