Basics of Solving Algebraic Equations

What is the primary goal when solving an algebraic equation?

• To rearrange the equation until the unknown is by itself

• To perform all arithmetic operations

• To eliminate all variables

• To balance the equation without changing it

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

What must remain constant on both sides of an equation to keep it true?

• The value

• The number of terms

• The types of arithmetic operations

• The number of variables

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

Why is it important to do the same operation on both sides of an equation?

• To simplify the equation

• To keep the equation balanced

• To eliminate the variable

• To make the equation more complex

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

How do you solve an equation where a number is added to the unknown?

• By subtracting the number from both sides

• By dividing both sides by the number

• By multiplying both sides by the number

• By adding the same number to both sides

Tags

CCSS.6.EE.B.7

What is the result of solving the equation x + 7 = 15?

• x = 15

• x = 8

• x = 7

• x = 22

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

In the equation 40 = 25 + x, what is the value of x?

• x = 15

• x = 65

• x = 25

• x = 40

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

How do you solve an equation where a number is subtracted from the unknown?

• By subtracting the number from both sides

• By multiplying both sides by the number

• By dividing both sides by the number

• By adding the number to both sides

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.7

What property does subtraction not have that affects how we solve certain equations?

• Distributive property

• Commutative property

• Identity property

• Associative property

Tags

CCSS.7.EE.A.1

What is the correct approach to solve an equation where the unknown is subtracted from a number?

• Divide both sides by the unknown

• Subtract the unknown from both sides

• Add the unknown to both sides

• Multiply both sides by the unknown

Tags

CCSS.6.EE.B.7

What does the equation 12 - x = 5 solve to?

• x = 7

• x = 5

• x = -7

• x = 12

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6