Mastering Solving Equations for Algebra 1 EOC

The video tutorial covers solving algebraic equations with one solution, no solution, and infinitely many solutions. It provides step-by-step instructions on how to identify and solve each type of equation, emphasizing the importance of canceling variables and checking the remaining numbers. The tutorial also includes a more advanced section on solving equations with parentheses, using distribution and combining like terms. The video concludes with encouragement for students taking exams and a preview of the next topic on constructing equations from graphs.

What is the first step in solving equations with variables on both sides?

• Cancel one of the variables

• Combine like terms

• Apply the distributive property

• Isolate the variable

When solving an equation, what does it mean to 'cancel' a variable?

• Subtract the variable from itself

• Isolate the variable on one side

• Perform an operation that makes the variable term equal zero

• Multiply the variable by zero

Tags

CCSS.7.EE.B.4A

What is the outcome when you subtract the same number from both sides of an equation?

• The equation remains unchanged

• It helps in isolating the variable

• The equation becomes undefined

• The sides of the equation become equal

Tags

CCSS.6.EE.B.7

What is the result of dividing a negative number by a negative number?

• Undefined

• Zero

• A positive number

• A negative number

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What does an equation with one solution look like after simplification?

• Both sides of the equation are identical

• One variable remains with a numerical value

• Variables cancel out leaving a true statement

• Variables cancel out leaving a false statement

Tags

CCSS.8.EE.C.7A

How can you identify an equation with infinitely many solutions?

• When both sides of the equation are different

• When one variable remains without a numerical value

• When the variables cancel out and a true statement remains

• When the variables cancel out and a false statement remains

Tags

CCSS.8.EE.C.7A

What should you do if variables on both sides of an equation cancel out?

• Stop and conclude there is no solution

• Check the remaining numbers to determine the type of solution

• Restart the problem

• Multiply both sides by the leading coefficient

Tags

CCSS.8.EE.C.7A

What indicates an equation has no solution?

• One variable remains with a numerical value

• Variables cancel out leaving a false statement

• Variables cancel out leaving a true statement

• Both sides of the equation are identical

Tags

CCSS.8.EE.C.7A

What does PEMDAS stand for?

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

• Please Excuse My Dear Aunt Sally

• Primary, Exponents, Multiplication, Division, Addition, Subtraction

Tags

CCSS.6.EE.A.2C

In the context of solving equations, what does distributing a number across a parenthesis involve?

• Dividing each term inside the parenthesis by the number

• Subtracting the number from each term inside the parenthesis

• Multiplying the number with each term inside the parenthesis

• Adding the number to each term inside the parenthesis

Tags

CCSS.6.EE.A.3