A2

1 Linear Equations and Inequalities 1.9 Homework Answers: Required: #1-7 Extra credit: #8-10

Homework Answers: 1.9 #1

#7

#2

#8

#3

#9

#4

#10

#5 #6

Homework Answers: #1 Find and graph the solution set.

7 x − 3 ≥ −31 7 x ≥ −28 x≥− −4 4 −4

Back

Homework Answers: #2 Find and graph the solution set.

80 > 12 x + 8 72 > 12x

6>x Reverse!

x<6 6

Back

Homework Answers: #3 Find and graph the solution set.

7 − 3x < 37 −3x < 30 x > −10 −10

Back

Reverse!

Homework Answers: #4 Find and graph the solution set.

7 − 2 x ≤ 3x − 3 −2 x ≤ 3x − 10 −5 x ≤ −10

Reverse!

x≥2 2

Back

Homework Answers: #5 Find and graph the solution set.

7 x − 15 − 3 x < 14 − 6 x + 11 4 x − 15 < 25 − 6 x 4 x < 40 − 6 x 10 x < 40

x<4 4

Back

Homework Answers: #6 Find and graph the solution set.

4 − 5(4 x − 12) ≤ 144

4 − 20 x + 60 ≤ 144 −20 x + 64 ≤ 144 −20 x ≤ 80

Reverse!

x ≥ −4 −4

Back

Homework Answers: #7 Find and graph the solution set.

3x + 1 <5 −4

3x + 1 > −20 3x > −21 x > −7 −7

Back

Reverse!

Homework Answers: #8* Find and graph the solution set.

−9 x + 2 4 x − 5 ≤ −6 3 −27 x + 6 ≥ −24 x + 30

−3x ≥ 24 x ≤ −8 −8

Back

Cross multiply Reverse!

Reverse!

Homework Answers: #9* Find and graph the solution set.

ax − b > 2c, for a, b, c > 0 ax > 2c + b 2c + b x> a 2c + b a

Back

Homework Answers: #10* The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the homework score. If the scores are out of 100 and a student has a 72 test average, what must the student average on homework to have a final grade of at least 80?

Final grade = 0.75(test) + 0.25(hw) 0.75(72) + 0.25h ≥ 80 54 + 0.25h ≥ 80 0.25h ≥ 26 h ≥ 104 Back

Better do some extra credit!

1 Linear Equations and Inequalities

Homework Answers: #6. Find and graph the solution set. 4 5(4 12) 144 x. −. −. ≤. 4 20 60 144 x. −. + ≤. 20 64 144 x. −. + ≤. 20 80 x. −. ≤. 4 x ≥ −. Reverse! 4−. Back ...

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