Inequality Quiz
Questions: 16 · 10 minutes
1. A shopper has $29. After paying an $8 delivery fee, each notebook costs $3. What is the greatest number of notebooks the shopper can buy?
9 notebooks
6 notebooks
8 notebooks
7 notebooks
2. Which inequality has the same solution set as 2x - 6 > 4?
Twice x is greater than 4
Four times x is greater than 20
x minus 5 is greater than 1
Four times x is at least 20
3. Which number-line description represents x < 2?
A closed circle at 2 with shading to the left
An open circle at 2 with shading to the right
An open circle at 2 with shading to the left
A closed circle at 2 with shading to the right
4. Which inequality has no real-number solution?
A number minus 2 is less than the same number plus 1
Twice a number plus 1 is less than 5
Four minus a number is at most 7
A number plus 2 is less than the same number minus 1
5. Solve (x - 2) / 3 ≥ 4.
x is no greater than 10
x is at least 10
x does not exceed 14
x is at least 14
6. A value must satisfy both x > -1 and x ≤ 3. Which interval is the combined solution?
From negative 1 through 3, including both endpoints
All values below negative 1 together with all values above 3
From negative 1 included to 3 excluded
From negative 1 excluded to 3 included
7. Which value of x satisfies 5 - 2x < -1?
Negative four
Three
Four
Zero
8. What is the solution to |x - 4| < 3?
x lies strictly between 1 and 7
x lies strictly between negative 3 and 3
x is below 1 or above 7
x is at most 1 or at least 7
9. If a < b, what must be true after both sides are multiplied by -2?
Negative 2 times a is greater than negative 2 times b
Positive 2 times a is greater than positive 2 times b
The two resulting products are equal
Negative 2 times a remains less than negative 2 times b
10. Solve the inequality x + 5 > 12.
x is greater than 17
x is less than 6
x is greater than 7
x is at most 17
11. Which interval represents -1 ≤ x < 4?
From negative 1 included to 4 excluded
From negative 1 excluded to 4 included
Both negative 1 and 4 included
Both negative 1 and 4 excluded
12. How many integer solutions satisfy -2 ≤ x < 3?
Four integers
Five integers
Six integers
Three integers
13. Tickets cost $12 each, and an order has a fixed $6 fee. If the total budget is at most $54, which inequality models the number of tickets t?
The ticket cost alone, 12t, is at most 54
The combined cost, 12t + 6, is at most 54
The expression 6t + 12 is at most 54
The combined cost, 12t + 6, is at least 54
14. Solve the compound inequality 2 < x + 1 ≤ 6.
x is greater than 1 and no greater than 5
x is greater than 2 and no greater than 6
x is at least 1 but less than 5
x is greater than 3 and no greater than 7
15. A room begins at 18°C and cools by 2°C per hour. If h is the number of hours, which condition keeps the modeled temperature strictly above 10°C?
h can be 4 or less
h must exceed 4
h must be less than 4
h can be 4 or more
16. Solve -3x ≤ 12.
x is at most negative 4
x is at least negative 4
x is no greater than positive 4
x exceeds positive 4