1. Draw a model to represent the polynomial x2 + 2x + 4. (1 point)
1 big square, 1 tall rectangle, 4 little sqaures
1 big square, 2 tall rectangles, 4 little sqaures in the shape of an "L"
2 big sqaures, 4 little squares
none of these
2. Simplify the polynomial.
–3f2 + 4f – 3 + 8f2 + 7f + 1
(1 point)
5f2 – 11f + 2
11f2 + 11f + 2
5f2 + 11f – 2
–5f2 + 11f – 2
3. Add or subtract.
(2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)
5x2 – 4x – 2
–5x2 + 8x – 2
5x2 – 8x + 2
–9x2 – 8x + 2
4. (3x2 – 7x – 4) – (6x2 – 6x + 1) (1 point)
–3x^2 – x –5
–3x^2 –13x + 5
9x^2 – x + 5
3x^2 – 13x – 5
5. Write the perimeter of the figure as a polynomial. Simplify. (1 point)
the shape is a trapizoid
top: 2x
bottom: 3x
left side: 4x + 1
right side: 4x + 1
13x + 2
13x + 1
9x + 1
9x + 2
6. The area of room A is (5x^2 – 7x – 6) ft^2. Room B has an area of (8x^2 + 6x – 1) ft^2. If room A is the larger room, how much greater is the area of room A than the area of room B? (1 point)
–3x^2 – x – 7*****
13x^2 – 13x – 7
–3x^2 – 13x – 5
3x^2 – x – 5
7. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)
7
5
–5
–7*****
8. Write the expression using a single exponent. (1 point)
2^2 • 2^8
4^10
2^10*****
4^16
2^16
9. Write the expression using scientific notation. (1 point)
(2.5 • 104)(4 • 103)
10 • 10^7*****
10 • 10^8
1 • 10^8
10• 10^12
10. Simplify the expression: log (100,000) (1 point)
0
1
2
5*****
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Draw a model to represent the polynomial x2 + 2x + 4. (1 point)
1 big square, 1 tall rectangle, 4 little sqaures
1 big square, 2 tall rectangles, 4 little sqaures in the shape of an "L"
2 big sqaures, 4 little squares
none of these
The model that represents the polynomial x^2 + 2x + 4 is:
1 big square, 2 tall rectangles, and 4 little squares in the shape of an "L".
Simplify the polynomial.
–3f2 + 4f – 3 + 8f2 + 7f + 1
(1 point)
5f2 – 11f + 2
11f2 + 11f + 2
5f2 + 11f – 2
–5f2 + 11f – 2
Simplifying the polynomial:
-3f^2 + 4f - 3 + 8f^2 + 7f + 1 = 5f^2 + 11f - 2
The simplified expression is:
5f^2 + 11f - 2.
3. Add or subtract.
(2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)
5x2 – 4x – 2
–5x2 + 8x – 2
5x2 – 8x + 2
–9x2 – 8x + 2
Adding the polynomials:
(2x^2 + 6x + 1) + (-7x^2 + 2x - 3) = -5x^2 + 8x - 2
The answer is:
-5x^2 + 8x - 2.
4. (3x2 – 7x – 4) – (6x2 – 6x + 1) (1 point)
–3x^2 – x –5
–3x^2 –13x + 5
9x^2 – x + 5
3x^2 – 13x – 5
5. Write the perimeter of the figure as a polynomial. Simplify. (1 point)
the shape is a trapizoid
top: 2x
bottom: 3x
left side: 4x + 1
right side: 4x + 1
13x + 2
13x + 1
9x + 1
9x + 2
4. Subtracting the polynomials:
(3x^2 – 7x – 4) – (6x^2 – 6x + 1) = -3x^2 - x - 5
The answer is:
-3x^2 - x - 5.
5. The perimeter of the trapezoid is:
2x + 3x + 4x + 1 + 4x + 1 = 13x + 2
The answer is:
13x + 2.
6. The area of room A is (5x^2 – 7x – 6) ft^2. Room B has an area of (8x^2 + 6x – 1) ft^2. If room A is the larger room, how much greater is the area of room A than the area of room B? (1 point)
–3x^2 – x – 7*****
13x^2 – 13x – 7
–3x^2 – 13x – 5
3x^2 – x – 5
7. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)
7
5
–5
–7*****
8. Write the expression using a single exponent. (1 point)
2^2 • 2^8
4^10
2^10*****
4^16
2^16
9. Write the expression using scientific notation. (1 point)
(2.5 • 104)(4 • 103)
10 • 10^7*****
10 • 10^8
1 • 10^8
10• 10^12
6. The difference in area between room A and room B is:
(5x^2 - 7x - 6) - (8x^2 + 6x - 1) = -3x^2 - 13x - 7
The answer is:
-3x^2 - 13x - 7.
7. The coefficient of x in the expression -7x - 5x^2 + 5 is -7.
The answer is:
-7.
8. Writing the expression with a single exponent:
2^2 • 2^8 = 2^(2+8) = 2^10
The answer is:
2^10.
9. Writing the expression in scientific notation:
(2.5 • 10^4)(4 • 10^3) = 10^7 • 2.5 • 4 = 10^7 • 10 = 10^8
The answer is:
10 • 10^7 or 1•10^8.