Exploring Key Concepts in Algebra 1

This video tutorial from Ultimate Algebra covers various algebraic concepts, including solving one-step, two-step, and multi-step equations, handling absolute value, radical, and rational equations, and solving and graphing inequalities. It also addresses word problems and functions, providing a comprehensive overview of Algebra 1 topics.

What is the first step in solving the equation x + 2 = 5?

• Subtract 2 from both sides

• Multiply both sides by 2

• Add 2 to both sides

• Divide both sides by 2

Tags

CCSS.6.EE.B.7

How do you solve the equation 2x + 3 = 11?

• Multiply both sides by 2

• Subtract 3 from both sides

• Divide both sides by 2

• Add 3 to both sides

Tags

CCSS.7.EE.B.4A

What is the correct order to solve 3x^2 + 8 = 20?

• Add, multiply, then exponent

• Multiply, add, then square root

• Subtract, divide, then square root

• Subtract, multiply, then square root

Tags

CCSS.8.EE.A.2

How do you solve the equation 4x + 5 = 9 + 2x?

• Subtract 2x from both sides

• Add 2x to both sides

• Subtract 5 from both sides

• Add 5 to both sides

What is the solution for the absolute value equation |x + 3| = 7?

• x = 4 and x = -10

• x = 7 and x = -7

• x = 10 and x = -4

• x = 7 and x = -10

How do you solve the inequality -3x + 1 > 7?

• Multiply both sides by -3

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by -3

Tags

CCSS.7.EE.B.4B

What is the correct way to graph the inequality x > -4?

• Draw a shaded circle at -4 and arrow to the right

• Draw an unshaded circle at -4 and arrow to the right

• Draw an unshaded circle at -4 and arrow to the left

• Draw a shaded circle at -4 and arrow to the left

Tags

CCSS.6.EE.B.8

How many gallons were in each box if 2,500 gallons were divided into 20 boxes with 100 gallons left over?

• 130 gallons

• 125 gallons

• 110 gallons

• 120 gallons

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is Michael's age if five added to thrice his age is 50?

• 25 years

• 10 years

• 20 years

• 15 years

Tags

CCSS.7.EE.B.4A

Which of the following relations is not a function?

• All inputs have at least one output

• Multiple inputs have the same output

• An input has two different outputs

• Each input has one output

Tags

CCSS.8.F.A.1