Solving Inequalities Lesson 1

Solving Inequalities

Multiple Choice

Solve the inequality: 2(x − 3) ≤ 3x − 2

• x≤ -4

• x≤ 6

• x≥4

• x≥6

Multiple Choice

What is the equation for this graph?

• x>-2

• x>-4

• x<-2

• x<-4

Multiple Choice

Solve the inequality x + 9 ≤ 7 to find out if this is the graph it creates

• This is the graph, subtract 9 from both sides to get x

• This is the graph, add 9 to both sides to get x

• This isn't the graph

Multiple Choice

Solve the inequality: x − 5 > 2x + 3

• x>8

• x>-12

• x>-12

• x<-8

Multiple Choice

Solve the inequality: 4x + 25 > 13

• x<3

• x<-3

• x>3

• x>-3

Multiple Choice

Solve the inequality: 4x + 25 > 13

• x<3

• x<-3

• x>3

• x>-3

Multiple Choice

Solve the inequality: 2x − 9 < 3

• x<12

• x<3

• x<6

• x>12

Multiple Choice

True or false: When solving the inequality 10x + 22 < 2, the second step should say 10x > −20 because I added -22 to both sides and I got a negative number on the right.

• True, only reverse when adding/subtracting by a negative

• False, only reverse when multiplying/dividing by a negative

Multiple Choice

True or false: When solving the inequality 10x + 22 < 2, the second step should say 10x > −20 because I added -22 to both sides and I got a negative number on the right.

• True, only reverse when adding/subtracting by a negative

• False, only reverse when multiplying/dividing by a negative

Multiple Choice

True or false: When solving the inequality −5x ≥ 45, the answer is x ≤ −9 because I divided both sides of the inequality by a negative number.

• True

• False

Multiple Choice

True or false: The notation 12 < x means the same thing as x < 12. It works just like 12 = x and x = 12.

• True

• False

Multiple Choice

Renting the ice-skating rink for a party costs $200 plus $4 per person. If the final charge for Dane’s birthday party was $324, how many people attended his birthday party?

• 30 people

• 31 people

• 33 people

• 29 people

Multiple Choice

Virginia’s Painting Service charges $10 per job and $0.20 per square foot. If Virginia earned $50 for painting one job, how many square feet did she paint at the job?

• f= 220ft²

• f= 300ft²

• f= 200ft²

• f= 320ft²