Multistep Equations and Inequalities Lesson

12/14 Multistep equations and inequalities

Let's have a quick review of solving multistep inequalities.

Now try these on your own paper

Multiple Choice

I can solve Inequalities.
4(5x + 2) ≤ 28

• x ≤ 1
• x ≥ 1
• x ≤ 8
• x ≥ 8

Multiple Choice

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Multiple Choice

Solve the inequality

• x ≥ -7

• x ≤ -7

• x ≤ -15

• x ≥ -15

Multiple Choice

-4x + 9 - x < -3

• x > 2.4

• x < 2.4

• x > -2.4

• x < -2.4

Multiple Choice

Solve:
3(y+5)≥21

• y≤2
• y≥2
• y≥12
• y≤12

Multiple Choice

-p − 4p > -10

• p > -2
• p > 2
• p < -2
• p < 2

Multiple Choice

Solve for x.

$$x\ +\ 5\ -2\ >\ 6x\ +\ 3x$$  

• x > 9

• x < 3/8

• x > 3/8

• x < -9

Multiple Choice

3 + (12 + 8) = 3 + (8 + 12) 

• Associative Addition 
• Associative Multiplication 
• Commutative Addition 
• Commutative Multiplication 

Multiple Choice

This property tells us that when we change the order of numbers when we are adding, the answer does not change.  

• Commutative Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Multiple Choice

8 + (3 + 4) = 8 + (4 + 3) 

• Associative Addition
• Associative Multiplication
• Commutative Addition
• Commutative Multiplication

Multiple Choice

(5 + 3) + 2 = 5 + (3 + 2)

• Commutative  Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Multiple Choice

3(w + 4) = 3w + 12 is an example of...

• Inverse Property
• Distributive Property
• Multiplicative Inverse
• Associative Property

Multiple Choice

Simplify the expression

6(x + 2) - 4

• 6x + 12

• 6x + 8

• 2x + 8

• 14x

Multiple Choice

-2(5x - 9)

• 10x - 18

• -10x + 18

• -10x

• 10x + 18

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Multiple Choice

-3x + 11y - 4x

• 7x + 11y

• -7x + 11y

• 7x - 11y

• 4xy

Multiple Choice

-9n + 12n + 7

• 28n

• 10n

• 21n + 7

• 3n + 7

Multiple Choice

5a + 2b - 7b + 4a

• 7b - 3a

• 9a - 5b

• 4ab

• 12a + 6b

Multiple Choice

Distribute & Evaluate. -2(n + 5) + 3n

• n + 10

• n - 10

• 5n + 5

• 5n - 5

Multiple Choice

Evaluate the expression

-(3x + 5) - 4

• -3x + 5

• -3x + -5

• -3x + 9

• -3x +-9