Linear Equations and Algebra Tiles

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Which equation does this set of algebra tiles represent?

​ (a)  

• -x + 7 = 16

• -x + 7 = 19

• 6x + 7 = 19

• 6x + 7 = 13

Answer explanation

Tags

7.11.A

Mathematical Equivalence

ON

Answer explanation

Tags

7.11.A

An equation is modeled below using algebra tiles. Which value of x makes the equation true?

Mathematical Equivalence

ON

Which equation does this set of algebra tiles represent?

• -x + 7 = 16

• -x + 7 = 19

• 6x + 7 = 19

• 6x + 7 = 13

Answer explanation

Tags

7.11.A

Solve the following equation for p.

• p = -4

• p = 4

Choose all of the following options that are possible first steps when solving 2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides