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
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) −
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 2z – q < 3p + z – q for z?
(A) z < p
(B) z < 3p – q
(C) z < 3p
(D) z < 3p + q
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.