Introduction To Algebra Test
.
- 1.Which word best describes the 2 in the expression 3x2 + 4x + 7.
- A.
Coefficient
- B.
Constant
- C.
Exponent
- D.
Term
- E.
Variable
- 2.Which word best describes the 3 in the expression 3x2 + 4x + 7.
- A.
Coefficient
- B.
Constant
- C.
Exponent
- D.
Term
- E.
Variable
- 3.Which word best describes the x in the expression 3x2 + 4x + 7.
- A.
Coefficient
- B.
Constant
- C.
Exponent
- D.
Term
- E.
Variable
- 4.Which word best describes the 7 in the expression 3x2 + 4x + 7.
- A.
Coefficient
- B.
Constant
- C.
Exponent
- D.
Term
- E.
Variable
- 5.Which word best describes the 4x in the expression 3x2 + 4x + 7.
- A.
Coefficient
- B.
Constant
- C.
Exponent
- D.
Term
- E.
Variable
- 6.Simplify [ a2 – 2a + 7a2 + 9a + a – 4a2 ] by collecting like terms.
- A.
4a2 - 8a
- B.
- 4a2 + 8a
- C.
12a2+ 8a
- D.
4a2 + 8a
- E.
None of the above
- 7.Simplify [ –6p2 – 20p – 4p – 10p2 – 3 + 2p + 5 ] by collecting like terms.
- A.
16p2 – 22p + 2
- B.
–16p2 – 22p + 2
- C.
–16p2 – 22p – 2
- D.
16p2– 22p – 2
- E.
None of the above
- 8.Simplify [ 2n2 + 2n + 1 – 10n2 – n – 15n + 9 – n ] by collecting like terms.
- A.
8n2 – 15n + 10
- B.
–8n2 + 15n + 9
- C.
–8n2 – 15n – 1
- D.
–8n2 – 15n + 10
- E.
None of the above
- 9.Simplify [ –11x + 2y + 5 + 3y + 7 + 1 – 6x ] by collecting like terms.
- A.
17x – 5y + 13
- B.
–17x + 5y + 13
- C.
17x + 5y – 13
- D.
–17x – 5y + 13
- E.
None of the above
- 10.Simplify [ 5a2 + 4a + 17 – 2a + 3a2 – 4 ] by collecting like terms.
- A.
8a2 –2a + 13
- B.
–8a2 + 2a + 15
- C.
8a2 + 2a + 13
- D.
8a2 + 2a + 17
- E.
None of the above
- 11.Which of the following is equivalent to the expression 3(x + 2) – 7?
- A.
3(x + 2 – 7)
- B.
3x + 6 – 7
- C.
3x + 6 – 21
- D.
3x – 5
- E.
None of the above
- 12.Which of the following expressions mean the same thing? [Select two options]
- A.
2(4 + 5)
- B.
4 + 5(2)
- C.
(4 + 5)(2)
- D.
2(4) + 5
- 13.Which of the following expressions mean the same thing? [Select two options]
- A.
5(2x + 7)
- B.
5(2x) + 7
- C.
2x + 7(5)
- D.
(2x + 7)(5)
- 14.Which of the following expressions mean the same thing? [Select two options]
- A.
–8(6x – 4)
- B.
–48x – 36
- C.
–48x + 32
- D.
–48x – 32
- 15.Which expression shows –3(x + 5) in expanded form?
- A.
–3x + 15
- B.
–3x + 5
- C.
–3x – 8
- D.
–3x – 15
- 16.Which of the following expressions mean the same thing? [Select all the correct options]
- A.
–9(6y – 4y)
- B.
–54y – 36y
- C.
–54y + 36y
- D.
–18y
- E.
18y
- 17.Which of the following is equivalent to the expression 8(2x + 2) – 3(4x + 6)?
- A.
4x + 10
- B.
28x + 34
- C.
4x – 2
- D.
4x + 34
- 18.Simplify the expression: ( - 8v4 + 4v3 + 3v) + (- 8v4 + 4v - 7)
- A.
-17v4 + 4v3 + 2v - 7
- B.
-16v4 + 4v3 + 7v - 7
- C.
-16v4 + 4v3 + 10v - 7
- D.
-16v4 + 4v3 + 2v - 7
- 19.Simplify the expression: (–6p4 + p3 + 1) – ( 8p4–8p3 + 7)
- A.
–14p4 + 9p3 – 6
- B.
–14p4 + 9p3 – 1
- C.
–14p4 + 9p3 + 6
- D.
–15p4 + 9p3 + 6
- 20.Simplify the following expression (r2 + s2) – (5r2 + 4s2)
- A.
–4r2 +5s2
- B.
–4r2 – 3s2
- C.
–5r4 – 4s4
- D.
–4r2 + 3s2
- 21.The measure of two side of a triangle is x2+ 2x. If the perimeter is 4x2+ x, what is the measure of the third side?
- A.
3x2– x
- B.
4x2 + 2x
- C.
3x2 + 3x
- D.
3x2 + 2x
- 22.Simplify the expression: (5b - 3b3 - 8b2) - (2b3 - 4b2 + 6b - 3b4)
- A.
3b4 - 5b3 - 11b2 - b
- B.
3b4 - 5b3 - 11b2 - 9b
- C.
3b4 - 5b3 - 11b2 - 15b
- D.
3b4 - 5b3 - 4b2 - b
- 23.Simplify the expression: (7k + 2k3 - 8k4) - (4k3 - 5k + 4k2 - 7k4)
- A.
-k4 - 2k3 - 4k2 + 12k
- B.
-2k3 - 7k2 + 12k + 4k4
- C.
-2k3 - 4k32 + 12k + 4k4
- D.
-2k3 - 4k2 + 12k
- 24.Expand and Simplify: (5x + 2) (x2 – 3x + 6)
- A.
5x3 – 17x2 + 24x + 12
- B.
5x3 + 17x2 – 24x + 12
- C.
5x3 – 13x2 + 24x + 12
- D.
5x3 + 13x2 – 24x – 12
- 25.Is the polynomial expression in standard form? 7x3 – 8x2 + 9
- A.
True
- B.
False
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