Review Over Step Inequalities and Equations

Given 2(4x +8) + 3x = 12
Step 1 8x + 16 + 3x = 12
Step 2 8x + 3x + 16 = 12
Step 3 11x + 16 = 12
Step 4 -16 -16
Step 5 11x = -4
Step 6 /11 /11
Step 7 x = -4/11
Which property justifies step 2?

• Associative Property of Multiplication

• Associative Property of Addition

• Commutative Property of Addition

• Identity property of Multiplication

Step 1     3(2x+4) = 9
Step 2     6x + 4 = 9
Step 3     6x + 4 - 4 = 9 - 4
Step 4     6x = 5
Step 5     /6     /6
Step 6     x   =  5/6
What property justifies step 4?

• Inverse property of addition

• Inverse property of multiplication

• Identity property of addition

• Identity property of mulitplication

Which inequality represents the following: John could have a maximum of 10 people over his house.

• x > 10

• x < 10

• x ≤ 10

• x ≥ 10

2. Solve the following equation

37 = 12 + x

• x =25

• x = 49

• x = 3.08

• x = 44.4

3. Solve the inequality

4x < 268

5. Write the equations for the model.

• 7 = x + 3

• 7 = x - 3

• 7 = -x + 3

• 7 = -x -3

Which equation best describes the drawing modeled on the equation mat?

• x = 3+ 9

• -x - 3 = 9

• x - 3 = 9

• 3 - x = 9

Which graph represents the solution set for this inequality

• A

• B

• C

• D

After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 new students joined?

• n- 4 = 32

• 4n = 32

• n + 4 =32

Which is the most efficient step to use to solve this equation?

• Add 2 to each side of the equation

• Subtract 2 from each side of the equation

• Divide each side of the by equation by 5

• Multiply each side of the equation by 5