Writing and Solving Equations

Write down an algebraic equation that represents this problem.

Two more than 4 times a number is -18.

• 4x + 2 = -18
• 2x + 4 = -18
• 18 = 4x +2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Write down an algebraic equation that represents this problem.

Eight less than three times a number is equivalent to thirty four.

• 3x - 8 = 34

• 8x - 3 = 34

• 8 - 3x = 34

• 8 - x = 34

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

 $\frac{2w-1}{5}+2=12$  
a) What are the 2 methods you can use to solve this equation?

b) What does w equal?

Twelve more than three quarters of a number is equal to thirty six.

• 75x + 12 = 36

• (3/4)x + 12 = 36

• 3x + 12 = 36

• 25x + 12 = 36

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What were the steps used to create the equation above?

Twice the sum of four times and number and ten is equal to seventy two.

• 4x + 10 = 72

• 2(x + 10) = 72

• 2(4x + 10) = 72

• 8x + 10 = 72

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

 $\frac{3w+5}{4}+2w=15$  
Solve for w in this equation.

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  

• 60 - 15x = 210 
• 15x - 60 = 210
• 15x + 60 = 210 
• 210 + 15x = 60 

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9