Unit 2.1 - 3 Solving Equations and Inequalities

Find the Error
When did the student make the error when solving the equation?  1+x+5=3x+5
Step 1: x+6=3x+5
Step 2: -2x+6=5
Step 3: -2x=11
Step 4: x=-5/2

• Step 1
• Step 2
• Step 3
• Step 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the best first step to complete when solving this equation?
10 - 3y = 4

• Add 10
• Subtract 10
• Add 3
• Divide by -3

Tags

CCSS.6.EE.B.5

Solve:
-19 + 3x = 3( x - 5)

• No Solutions
• Infinite Solutions
• x = (-6)
• x = 8

Translate: 
Two less than four times a number is thirty.

• 2 - 4x  = 30
• 4x - 2 = 30
• x + 4 times 2 = 30
• 30 = 4x

The sum of three consecutive even numbers is 48. Which equation must be true?

• 3x = 48
• 3x + 3 = 48
• 3x + 6 = 48
• 3x + 12 = 48

Todd caught three times as many fish this year than Eric. Together they caught 63 fish total. Which algebraic equation represents how many fish they caught? 

• 3f = 63
• f + 3 = 63
• f + 3f = 63
• 3f + 63 = f

The length of a rectangle is 6 meters more than twice the width.  The perimeter is 72 square meters.  Find the length and width.

• Length = 36, Width = 15
• Length = 50, Width = 22
• Length = 26, Width = 10
• Length = 22, Width = 8

4 times a number increased by 5 is the same as 3 times the difference of a number and 2.  Which of the following equations would find the number?

• 4n + 5 = 3n - 2
• 4n + 5 = 3(n - 2)
• 4n+5 = 3(n + 2)
• 4n + 5 = 3 - 2n

Solve for x. 
2x + 1 = 3x + 1 - x

• x = 0
• x = 1
• No Solution
• Infinite Solutions

• A
• B
• C
• D