Page 73 - Algebra

6. The number of positive integrals, which satisfy the inequalities 9p + 30 > 57 and 5p + 28 < 53 are:
a) 1 b) 2 c) 3 d) 4 e) 5
7. If 4x – y < 7 and x + 6y < 13, which of the following is correct?
a) x + y < – 4 c) x + y < 4 e) y < 4
8. Find the solution set for the inequality |15 – 3x| > 9
a) x > 2 or x > 8 c) x < 2 or x > 8 e) x < 2 or x < 8
b) x <4
d) x + y > 4
b) x > 2 or x < 8 d) x > 2 or x < 8
9. Julie wants to buy a carpet for her rectangular room. The carpet should be at least 14 m long and 8 m wide. Which of the following inequality represents the area of the carpet in square meters?
a) A ≥ 56 m2 c) A ≤112 m2 e) A ≥ 112 m2
10. Find the range of x for the inequality –2 < x + 3 < 18.
a) –2 < x < 21 c) –15 < x < 2 e) 2 < x < 15
11. If |p| ≤ 5 and |q| ≤ 3, what is the least value of p – q?
a) –2
c) 2
e) Cannot be determined
b) A ≤ 56 m2 d) A = 112 m2
b) –5 < x < 15 d) 2 < x < 21
b) –8 d) 8
12. Which value of m, satisfies both the equations given below. |m – 3| = 6
|8 – m| = –1
a) m = 7
c) m = 9
e) No solution
–3 m = 3
b) m =
d)
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Algebra I & II