Review One and two-step equations

Review One and two-step equations

7th Grade

California 7th Grade Standards

• Expressions and Equations 7.EE Major Clusters

• Use properties of operations to generate equivalent expressions. (7.EE.1–2 )

• Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (7.EE.3–4 )

One-Step Equations

Solve means find the solution, or find the number that stands for the variable.

Inverse Operations

The opposite of

add is subtract

subtract is add

multiply is divide

divide is multiply

Multiple Choice

Solve the algebraic equation for p.

p+8 = 12

• 4

• 20

• 1.5

• 96

Multiple Choice

Which method can be used to solve the algebraic equation below?

z - 6 = 13

• Subtract 6 from both sides of the equation

• Add six to both sides of the equation

• Subtract 13 from both sides of the equation

• Add 13 to both sides of the equation

Multiple Select

Select the two methods that can be used to solve the algebraic equation.

-2x = 12

• Add -2 to each side

• Multiply each side by -2

• divide each side by -2

• Multiply each side by -1/2

• Add -1/2 to each side

Multiple Choice

How would you solve the equation above?

• Multiply both sides of the equation by 1/3

• Multiply both sides of the equation by 3

• Divide both sides of the equation by 3

• Divide both sides of the equation by -6

For greater accuracy use a direction table.

• Draw the table and ask yourself...

• What is the variable?

• What is the operation being applied to the variable?

• What is the second operation?

• What is the output or end result (equal to)?

• Work backwards and do the inverse operation on the left hand side of the table.

Example: 10x - 5 = 195

Multiple Choice

-4b+12=24

• b = 12

• b = -4

• b = -3

• b = 15

Multiple Choice

Solve for x:
-30 - 5x = 120

• x = 18
• x = -18
• x = 30
• x = -30

Multiple Choice

Solve.

• y = 15

• y = 85

• y = -15

• y = -2

Multiple Choice

 $\frac{5}{6}+3b=-\frac{2}{3}$  

•  $\frac{9}{2}$  

•  $-\frac{9}{2}$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

Multiple Choice

Solve.

• m = 0

• m = 12

• m = -12

• m = 1

Poll

How do you feel about solving equations with one variable?

• They are easy to solve

• I have trouble with one-step equations

• I have trouble with two-step equations.

• I do not understand anything.