Solving multi-step problems using non-linear equations in one variable

Select the property of equality that is used to generate this equation:

7b + 9 = 22

7b + 9 - 6 = 22 - 6

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

Property Of Zero

• Order of values does not matter

• If a=b and b=c then a=c

• Multiplying by 0 always equals 0

• Stays the same

Tags

CCSS.HSA.REI.A.1

2 (n + 5) = -2

SELECT ALL THAT APPLY: what is the first step in solving the following equation ____________

• add five to both sides

• distribute 2 to all terms in the parenthesis

• add 2

• divide by 2

Tags

CCSS.HSA.REI.A.1

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 5n

Step 3: 32 = 5n

Step 4: 6.2 = n

• step 1

• step 2

• step 3

• problem is correct

Tags

CCSS.HSA.REI.A.1

• Remove the coefficient, 5, by using inverse operations

• Remove the constant, 5, by using inverse operations

• Remove the coefficient, 29, by using inverse operations

• Remove the constant, 29, by using inverse operations

Tags

CCSS.HSA.REI.A.1

 Consider the steps that a mathematician writes as she solves the equation 5x+2=3x-7
  Equation:  5x +2 = 3x −7 
Step 1:  2x +2 = −7 
Step 2:  2x = −9 
Solution: x = −  $\frac{9}{2}$  
 Which statement explains why the solution following Step 2 is a valid step?  

 $\frac{9}{2}$  

• If you add 2 to both sides of an equation, the sides remain equal

• If you subtract 2 from both sides of an equation, the sides remain equal.

• If you multiply both sides of an equation by 2, the sides remain equal

• If you divide both sides of an equation by 2, the sides remain equal. 

Tags

CCSS.HSA.REI.A.1

The following question was given to a class.

x - 6 = 15

Who did the correct inverse operation?

• Evan added 6 to both sides.

• Adanely divided 6 to both sides.

• Joshua subtracted 6 to both sides.

• Brooklyn subtracted 15 to both sides.

Tags

CCSS.HSA.REI.A.1

Why do you add 7?

• To undo addition, you subtract.

• To balance the equation, you subtract 7 on both sides.

• To undo subtraction, you add.

• To balance the equation,you add 7 to both sides.

Tags

CCSS.HSA.REI.A.1

Which property should be used to solve this equation?  9c = 36

• addition property of equality
• subtraction property of equality
• division property of equality
• multiplication property of equality

Tags

CCSS.HSA.REI.A.1

Which operation would be used to solve the equation?                      

6d = 342

• Subtract 6

• divide by 6

• Add 6

• Multiply by 6

Tags

CCSS.HSA.REI.A.1