INEQUALITIES
ALGEBRA 1 UNIT 6 REVIEW
STANDARDS OVERVIEW
• STANDARD 49: DISTINGUISH BETWEEN AN EQUATION AND AN INEQUALITY.
• STANDARD 50: WRITE AND GRAPH INEQUALITIES IN ONE VARIABLE ON A NUMBER LINE.
• STANDARD 51: SOLVE MULTI-STEP INEQUALITIES.
• STANDARD 52: SOLVE REAL-LIFE APPLICATIONS OF INEQUALITIES.
• STANDARD 53: SOLVE COMPOUND INEQUALITIES INVOLVING “AND” AND “OR”.
• STANDARD 54: SOLVE REAL-WORLD APPLICATIONS USING COMPOUND INEQUALITIES.
• STANDARD 55: SOLVE ABSOLUTE VALUE INEQUALITIES.
• STANDARD 56: GRAPH LINEAR INEQUALITIES IN ONE VARIABLE IN THE COORDINATE PLANE.
• STANDARD 57: GRAPH LINEAR INEQUALITIES IN TWO VARIABLES IN THE COORDINATE PLANE.
• STANDARD 58: SOLVE REAL-WORLD APPLICATIONS USING LINEAR INEQUALITIES WITH TWO VARIABLES.
STANDARD 49: DISTINGUISH BETWEEN AN EQUATION
AND AN INEQUALITY.
• WHAT IS THE DIFFERENCE BETWEEN AN EQUATION AND
AN INEQUALITY?
STANDARD 50: WRITE AND GRAPH INEQUALITIES IN
ONE VARIABLE ON A NUMBER LINE.
• GRAPH:
•C<3
•D≥-5
STANDARD 51: SOLVE MULTI-STEP INEQUALITIES.
• SOLVE THEN GRAPH:
• -5X + 8 > 33
𝑥
•
9
− 12 ≤ 13
STANDARD 52: SOLVE REAL-LIFE APPLICATIONS OF
INEQUALITIES.
• STUDENTS IN THE SCHOOL CHOIR ARE SELLING BOXES OF
FRUIT. THEY EARN $1.55 ON EACH BOX THEY SELL. THEIR
GOAL IS TO EARN MORE THAN $467. WRITE, SOLVE THEN
GRAPH AN INEQUALITY TO FIND THE FEWEST NUMBER OF
BOXES THEY CAN SELL AND STILL REACH THEIR GOAL.
STANDARD 53: SOLVE COMPOUND INEQUALITIES
INVOLVING “AND” AND “OR”.
• GRAPH:
• -8 > X ≥ 4
• -5 ≤ X < 2
STANDARD 54: SOLVE REAL-WORLD APPLICATIONS
USING COMPOUND INEQUALITIES.
• WRITE AND GRAPH A COMPOUND INEQUALITY FOR THE
APPLICATION BELOW.
• SAM MUST BE AT LEAST 40 INCHES BUT NO MORE THAN 54
INCHES TALL TO RIDE ON THE TRAIN.
STANDARD 55: SOLVE ABSOLUTE VALUE
INEQUALITIES.
• WILL NOT BE ON THE TEST.
STANDARD 56: GRAPH LINEAR INEQUALITIES IN ONE
VARIABLE IN THE COORDINATE PLANE.
• GRAPH:
• Y > -2
•X≤4
STANDARD 57: GRAPH LINEAR INEQUALITIES IN TWO
VARIABLES IN THE COORDINATE PLANE.
• GRAPH:
• Y < 2X + 1
• Y ≥ -4X - 3
STANDARD 58: SOLVE REAL-WORLD APPLICATIONS
USING LINEAR INEQUALITIES WITH TWO VARIABLES.
• WILL NOT BE ON THE TEST.