Inequalities

SSAT Inequalities Drill 1

  1. Which of the following could be the value of X if + X < 1?

(A)   

(B)   

(C)   

(D)   

(E)   

  2. Choose the inequality represented by the statement “The sum of two times a number and five times another number is greater than or equal to twenty-one.”

(A)   2x + 5y ≥ 21

(B)   2x + 5y ≤ 21

(C)   2x + 5x ≥ 21

(D)   2x × 5y ≤ 21

(E)   2x × 5y ≥ 21

  3. If 8x – 6 < 14 + 5x, then

(A)   x < 20

(B)   x < 13

(C)   x <

(D)   x >

(E)   x <

  4. If < −8, then

(A)   y < 9

(B)   y > 9

(C)   y < –9

(D)   y < 3

(E)   y > 3

  5. If 4x + 6 ≥ 30, then

(A)   x ≥ 24

(B)   x ≥ 12

(C)   x ≤ 6

(D)   x ≥ 6

(E)   x ≥ 3

SSAT Inequalities Drill 2

  1. Which of the following could be the value of A if + A > 1?

(A)   

(B)   

(C)   

(D)   

(E)   

  2. If 2 – 4x ≤ 10, then

(A)   x ≤ 2

(B)   x ≥ 2

(C)   x ≤–2

(D)   x ≥–2

(E)   x > –2

  3. If 4x – 6 < 12 – 5x, then

(A)   x > 2

(B)   x < 2

(C)   x > 9

(D)   x < 9

(E)   x < 18

  4. Choose the inequality represented by the statement “The product of three times a number and four times another number is less than or equal to forty eight.”

(A)   3a × 4b ≤ 48

(B)   3a ÷ 4b ≤ 48

(C)   3a + 4b ≤ 48

(D)   3a × 4a ≤ 48

(E)   3a × 4b ≥ 48

  5. Which of the following could be the value of Y if + Y < 0?

(A)   

(B)   

(C)   −

(D)   −

(E)   −

ISEE Inequalities Drill 1

  1. What is the maximum value for y if y = 3x2 + 2 for –3 ≤ x ≤ 2?

(A)     29

(B)     14

(C)       7

(D)   –25

  2. Which describes all values of x for which |3x – 4| ≥ 8?

(A)   x ≤ − or x ≥ 4

(B)   x or x ≤ −4

(C)   x

(D)   x ≥ 4

  3. A solution set is graphed on the number line shown.

The solution set of which inequality is shown?

(A)   |x – 7| < 2

(B)   |x + 7| < 2

(C)   |x – 8| < 1

(D)   |x + 8| < 1

  4. Which of the following expressions defines the values of x if –2x + 3 > 2x + 15?

(A)   x > –3

(B)   x > –4

(C)   x < –4

(D)   x < –3

  5. Which of the following expressions solves 2zq < 3p + zq for z?

(A)   z < p

(B)   z < 3pq

(C)   z < 3p

(D)   z < 3p + q

ISEE Inequalities Drill 2

  1. Which of the following inequalities represents the graph shown below on the real number line?

(A)   –1 < x < 4

(B)   0 ≤ x < 4

(C)   0 < x ≤ 4

(D)   0 ≥ x > 4

Directions: Using all information given in each question, compare the quantity in Column A to the quantity in Column B. All questions in Part Two have these answer choices:

(A)   The quantity in Column A is greater.

(B)   The quantity in Column B is greater.

(C)   The two quantities are equal.

(D)   The relationship cannot be determined from the information given.

 
 

  2.

 

  3.

 

  4.

 

  5.