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Test Questions with Algebra Tiles

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Grade 3 Multiplication CCSS: 3.OA.A.1
Look at the squares:

4 Black Unit Squares 4 Black Unit Squares 4 Black Unit Squares

Which of the following best describes the total number of squares?
  1. 2 groups of 4
  2. 3 groups of 4
  3. 4 groups of 4
  4. 5 groups of 4
Grade 3 Multiplication CCSS: 3.OA.A.1
Which multiplication sentence is represented by the pictures?

Yellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
Yellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
  1. [math]4 xx 2 = 6[/math]
  2. [math]4 xx2 = 8[/math]
  3. [math]2 xx 2 = 4[/math]
  4. [math]2 xx 6 = 12[/math]
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

Black RectangleBlack RectangleBlack RectangleBlack RectangleBlack RectangleWhite Unit SquareWhite Unit Square
  1. the product of 5 and a number plus 2
  2. the product of 5 and a number minus 2
  3. the product of negative 5 and a number plus 2
  4. the product of negative 5 and a number minus 2
Grade 3 Fractions and Ratios
What fraction of the lines are black?

Black RectangleBlack RectangleWhite RectangleWhite RectangleWhite RectangleBlack RectangleBlack Rectangle
  1. [math]3/7[/math]
  2. [math]4/7[/math]
  3. [math]3/4[/math]
  4. [math]4/3[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What expression does the set of tiles represent?

Green Rectangle XGreen Rectangle XGreen Rectangle XGreen Rectangle XRed Unit Square -1Red Unit Square -1
  1. [math]2x[/math]
  2. [math]-8x[/math]
  3. [math]x^4 - 2[/math]
  4. [math]4x - 2[/math]
Grade 3 Fractions and Ratios
What fraction of the squares are red?

Yellow Unit SquareRed Unit SquareRed Unit SquareYellow Unit SquareRed Unit SquareRed Unit SquareYellow Unit SquareYellow Unit SquareRed Unit Square
  1. [math]4/5[/math]
  2. [math]5/4[/math]
  3. [math]4/9[/math]
  4. [math]5/9[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What expression does the set of tiles represent?

Blue Square X2Blue Square X2Blue Square X2Red Rectangle -XRed Rectangle -XRed Rectangle -XRed Rectangle -XYellow Unit Square 1Yellow Unit Square 1
  1. [math]x^6 - x + 2[/math]
  2. [math]x^6 - 4x + 2[/math]
  3. [math]3x^2 - x + 2[/math]
  4. [math]3x^2 - 4x + 2[/math]
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

White Rectangle X4 Black Unit Squares -1
  1. 4 less x
  2. 4 less than x
  3. 4 more than x
  4. 4 more than negative x
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

Black Rectangle -XBlack Rectangle -XWhite Unit Square 1White Unit Square 1
  1. 2 less than 2 times a number
  2. 2 more than 2 times a number
  3. 2 less than the opposite of 2 times a number
  4. 2 more than the opposite of 2 times a number
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareBlack Rectangle
  1. 5 plus x
  2. x plus 5
  3. x minus 5
  4. 5 minus x
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

White Rectangle XWhite Rectangle X4 White Squares 14 White Squares 1
  1. 2 times a number plus 8
  2. 8 less 2 times a number
  3. 2 times a number minus 8
  4. 8 more than 2 plus a number
Kindergarten Counting and Comparing Numbers CCSS: K.CC.B.5
How many squares?

4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares4 Yellow Unit Squares
  1. 5
  2. 10
  3. 15
  4. 20
Grade 3 Multiplication CCSS: 3.OA.A.1
Which problem best explains the following model?
White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit Square
White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit Square
White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit Square
  1. I planted 3 rows of corn in my garden. There were 5 plants in each row.
  2. I planted 15 rows of corn in my garden. There were 3 plants in each row.
  3. I planted 5 rows of corn in my garden. There were 15 plants in each row.
  4. I planted 4 rows of corn in my garden. There were 3 plants in each row.
Grade 6 Algebraic Expressions CCSS: 6.EE.A.2, MP5
Which expression is represented by the set of tiles?

White Rectangle XWhite Rectangle XWhite Rectangle X4 Black Unit Squares -1
  1. 4 less than 3 times a number
  2. 4 more than 3 times a number
  3. 4 times the quantity 3 times a number
  4. negative 4 times the quantity 3 times a number
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What expression does the set of tiles represent?

Red SquareRed SquareGreen RectangleGreen RectangleGreen Rectangle
Red SquareRed Square4 Yellow Unit SquaresYellow Unit Square
  1. [math]4x^2 - 3x + 5[/math]
  2. [math]-4x^2 - 3x + 5[/math]
  3. [math]4x^2 + 3x + 5[/math]
  4. [math]-4x^2 + 3x + 5[/math]
Grade 3 Multiplication CCSS: 3.OA.A.3
Which problem best explains the following model?
White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit Square
White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit Square
  1. There are 2 rows of chairs with 4 chairs in each row.
  2. There are 4 rows of chairs with 5 chairs in each row.
  3. There are 5 rows of chairs with 6 chairs in each row.
  4. There are 2 rows of chairs with 5 chairs in each row.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What expression does the set of tiles represent?

Blue Square X2Blue Square X2Yellow Unit Square 1Yellow Unit Square 1Yellow Unit Square 1
  1. [math]2x + 3[/math]
  2. [math]2x^2 + 3[/math]
  3. [math]2x - 3[/math]
  4. [math]2x^2 - 3[/math]
Grade 1 Counting and Comparing Numbers CCSS: 1.NBT.A.1
How many squares?
4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares
4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares
  1. 12
  2. 24
  3. 48
  4. 60
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