Q1
Translate and solve: twenty-three greater than b is at least −276.
Give your answer in interval notation.
Q2
Translate and solve: 54 greater than x is greater than 216.
Give your answer in interval notation.
Q3
Solve the inequality 9p>14p−18 and write the solution in interval notation.
Q4
Classify: 2n/3−n/2≤n/6−1/6.
conditional
contradiction
identity
Q5
Classify: c/2−c/3≥c/6+1/2.
Ans:
conditional
contradiction
identity
Q6
Solve the inequality 3u+3(u+1)>2u+7 and write the solution in interval notation.
Q7
Solve the inequality 13q<7q−29 and write the solution in interval notation.
Q9
Solve the inequality 9y+2(y+6)>5y−24 and write the solution in interval notation.
Q10
Solve the inequality 5u≤8u−21 and write the solution in interval notation.
Q11
Solve the inequality 12x+3(x+7)>10x−24 and write the solution in interval notation.
Q12
Solve the inequality g−28≤1 and write the solution in interval notation.
Q13
Solve the inequality g+7/4≤1 and write the solution in interval notation.
Q14
Solve the inequality −25z≤2, and write the solution in interval notation.
Q15
Solve the inequality 17u≥−8, and write the solution in interval notation.
Q16
Solve the inequality 14a/11>4/3, and write the solution in interval notation.
- Simplify your answer.
Q18
Solve the inequality and write the solution in interval notation.
−7r≤−70
Q20
Solve the inequality and write the solution in interval notation.
−24<4/3n
Q21
Solve: −7(8x−13)−34=15x+57.
Q22
Solve: 9(−a−6)−37=36a−1.
Q23
Solve the inequality 11x+4(x−2)<5x+2 and write the solution in interval notation.
Q24
Solve the inequality 8y−3(y−2)>2y+4(2y+4) and write the solution in interval notation.
Q25
Solve the inequality 6h−5(h−1)≤7h−11 and write the solution in interval notation. Use improper fractions if necessary.
Q26
Solve the inequality y−5(y+1)≥2y−5 and write the solution in interval notation.
Q27
Translate and solve: fifty times n is at most 500.
Give your answer in interval notation.
Q28
Translate and solve: forty-six times y is no more than 276.
Give your answer in interval notation.
Q29
Translate and solve: 46 less than y is at least −184.
Give your answer in interval notation.
Q31
Translate and solve. Then write the solution in interval notation.
Twenty times y is at most 100.
Q32
Translate and solve: 82 less than a is at least −82.
Give your answer in interval notation.
Q33
Translate and solve: 64 less than y is no less than −128.
Give your answer in interval notation.
Q34
Classify: −5y+2(y−3)<−9y+2(3y+1).
Ans:
conditional
contradiction
identity
Q35
Classify: w/2−w/5>3w/10+19/20.
Ans:
conditional
contradiction
identity
Q36
Classify: −8n+3(4n−1)≤−2n+6(n−3).
Ans:
conditional
contradiction
identity
Q37
Classify: −4m+21(m−1)≤15m+2(m−1).
Ans:
conditional
contradiction
identity
Q38
Classify: 2/3g−1/2(g−14)≤1/6(g+42).
Ans:
conditional
contradiction
identity
Q40
Solve the inequality 9h−7(2−h)<8(h+11)+8h and write the solution in interval notation.
Q41
Classify: 4x−7(x+2)<18x−3(7x+4).
Ans:
conditional
contradiction
identity
Q42
Classify: 6n−12(3−n)≤9(n−4)+9n.
Ans:
conditional
contradiction
identity
Q43
Classify the equation as a conditional equation, an identity, or a contradiction.
3(6q−9)+7(q+4)=5(6q+8)−5(q+1)
Ans:
conditional equation
identity
contradiction
Q44
Classify the equation as a conditional equation, an identity, or a contradiction.
−6x−5+9x=3x−5+3
Ans:
conditional equation
identity
contradiction
Q45
Classify: 6d−3(7d−1)≥−3d−6(2d−1).
Ans:
conditional
contradiction
identity
Q46
Classify: c/4+c/10≥7c/20−1/2.
Ans:
conditional
contradiction
identity
Q47
Classify: q/2+3q/20<13q/20−1/2.
Ans:
conditional
contradiction
identity
Q48
Classify: −4m+21(m−1)≤15m+2(m−1).
Ans:
conditional
contradiction
identity
Q49
Classify: −5w−2(3w−4)≥−14w+3(w+7).
Ans:
conditional
contradiction
identity
Q51
Solve the inequality 9h−7(2−h)<8(h+11)+8h and write the solution in interval notation.
Q52
Classify: 2c/3−2c/5≤4c/15−1/5.
Ans:
conditional
contradiction
identity
Q53
Classify: −5y+2(y−3)<−9y+2(3y+1).
Ans:
conditional
contradiction
identity
Solution
Q1
Translate and solve: twenty-three greater than b is at least −276.
Give your answer in interval notation.
Ans: [−299, ∞)
Q2
Translate and solve: 54 greater than x is greater than 216.
Give your answer in interval notation.
Ans: (162, ∞)
Q3
Solve the inequality 9p>14p−18 and write the solution in interval notation.
Ans: (−∞,18/5)
Q4
Classify: 2n/3−n/2≤n/6−1/6.
Ans:
conditional
contradiction
identity
Q5
Classify: c/2−c/3≥c/6+1/2.
Ans:
conditional
contradiction
identity……………….please follow the link below to purchase all the solutions (53 activities) at just $15
