Which could be the first step in solving the equation represented by the model below?
3 x tiles and 4 negative 1 tiles = 2 x tiles and 5 positive 1 tiles
Add 4 positive unit tiles to each side.
Remove 4 unit tiles from each side.
Add 6 positive unit tiles to each side.
Remove 6 unit tiles from each side.
Add 4 positive unit tiles to each side.
Val says that the model below represents the equation Negative 2 x + 7 = 3 x + (negative 4).
Tia says that the model represents the equation 7 minus 2 x = (negative 4) + 3 x.
2 negative x tiles and 7 positive 1 tiles = 3 x tiles and 4 negative 1 tiles
Who is correct, Val or Tia?
Only Val is correct.
Only Tia is Correct.
Both Val and Tia are correct.
Neither Val nor Tia is correct.
Both Val and Tia are correct (the two equations are equivalent).
Which equation is modeled below?
1 negative x tile and 1 positive 1 tile = 2 x tiles and 3 positive 1 tiles
Negative x + 1 = 2 x + 3
x + (negative 1) = 2 x + 3
x + (negative 1) = 3 x + 2
Negative 2 x = 2 x + 3
Negative x + 1 = 2 x + 3
What do the four yellow tiles in the model of the equation below represent?
3 long x tiles and 4 square 1 tiles = 2 negative 2 tiles
–4
4
–4x
4x
4.
What is the solution to the equation represented by the model below?
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
x = negative 14
x = negative 2
x = 2
x = 14
x = 2
Which could be the first step in solving the equation represented by the model below?
3 x tiles and 4 positive 1 tiles = 2 x tiles and 6 positive 1 tiles
Add 4 negative unit tiles to both sides.
Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
Add 4 positive unit tiles to both sides.
Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Add 4 negative unit tiles to both sides.
Which equation is modeled below?
3 long x tiles and 2 negative 1 tiles = 2 long x tiles and 4 square 1 tiles
Negative 2 x + 3 = 4 x + 2
Negative 2 x + 3 = x + 4
3 x + 2 = 2 x + 4
3 x + (negative 2) = 2 x + 4
3 x + (negative 2) = 2 x + 4
Brandon uses the steps below to solve the equation 15 x + 6 = 14 x + 5 using algebra tiles.
Step 1 Add 14 negative x-tiles to both sides.
Step 2 Add 5 negative unit tiles to both sides
Step 3 The solution is x = 1.
Which explains whether Brandon is correct?
Brandon is correct because he has the correct solution in step 3.
Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time.
Brandon is not correct because he should have performed step 2 before performing step 1.
Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.
Brandon is correct because he has the correct solution in step 3.
Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can determine when Sienna will have the same amount of money as Jacob?
8 Negative x tiles and 3 positive 1 tiles = 6 positive x tiles and 4 positive 1 tiles
8 x tiles and 3 positive 1 tiles = 6 x tiles and 4 positive 1 tiles
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
3 negative x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles