Algebra Review
Algebra Review
1. Evaluate the expression
1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2
A) −
2.
Simplify: A) B) C) D) 17 29 16 30
3+5• 6 −4
3.
Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate:
1 7 − 1 5 − 1 5 1 7
6 − 2 • 2 + 25
4.
3x − y if x = 2, y = 8, and z = –2. 6z − x
A) B) C) D)
CPT Review 4/17/01
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5.
Simplify: A) B) C) D) –2 2 11 2 11 − 2
14 − 30 2(− 4 )
6.
Use the distributive property to simplify. A) B) C) D) − 4x + 30 − 4x − 30 − 2x + 30 − 2x − 30
− 3( x − 10) + x
7.
Simplify: 8y – 2 – 3(y – 4) A) 11y – 6 B) 5y – 6 C) 5y – 14 D) 5y + 10 Write the fraction in lowest terms: 3b 2 2a 3 2b 3 B) 3a 2 3a 2 C) 2b 3 2a 2 D) 3b 3 A) 36a 3bc 2 24ab 4c 2
8.
CPT Review 4/17/01
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9.
Solve for x : A) − 2 B) − 3 C) 1 7 D) 3
3( x + 1) = −6
10.
Add the polynomials: A) B) C) D)
2 a + 3b + 5a − 7b
7 a − 4b 7 a + 4b 3ab 7 a − 10b
11.
Subtract the polynomials: A) B) C) D)
6x 2 6x2 6x 2 6x 2 − 2x + 9 − 2 x + 13 − 6x + 9 − 6 x + 13
(9 x
2
− 4 x + 11 − 3 x 2 − 2 x + 2
) (
)
12.
( x + 2)(x 2 − 2 x + 4 ) =
A) B) C) D) x3 +8 x 3 + 4x 2 − 8x + 8 x 3 − 4x 2 + 8x + 8 x 3 + 8x + 8
13.
The difference of twice a number and six is four times the number. Find an equation to solve for the number. A) 2x – 6 = 4 B) 2x – 6 = 4x C) 2x + 6 = 4x D) 2x – 6 = x + 4
14.
Expand: A) 4 x 2 B) 4 x 2 C) 2 x 2 D) 4 x 2
(2 x − 3) 2
−9 +9 − 12 x + 9 − 12 x + 9
CPT Review 4/17/01
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15. Which of the following numbers is the smallest? 3 A) − 4 3 B) − 2 C) − 1 2 D) − 3 16. Which of the following is the largest? A) 5 − 2 B) 2 − 5 C) − 2 − 5 D) 5 − 2 + 2 − 5 17. Solve: 3( x − 5 ) ≤ x − 8 7 A) x ≤ 2 2 B) x ≤ 7 C) x ≤ −1 D) x ≥ −1 18. A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and the third side 15 feet longer than the shortest side. If the perimeter is 100 feet and if x represents the length of the
1. Evaluate the expression
1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2
A) −
2.
Simplify: A) B) C) D) 17 29 16 30
3+5• 6 −4
3.
Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate:
1 7 − 1 5 − 1 5 1 7
6 − 2 • 2 + 25
4.
3x − y if x = 2, y = 8, and z = –2. 6z − x
A) B) C) D)
CPT Review 4/17/01
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5.
Simplify: A) B) C) D) –2 2 11 2 11 − 2
14 − 30 2(− 4 )
6.
Use the distributive property to simplify. A) B) C) D) − 4x + 30 − 4x − 30 − 2x + 30 − 2x − 30
− 3( x − 10) + x
7.
Simplify: 8y – 2 – 3(y – 4) A) 11y – 6 B) 5y – 6 C) 5y – 14 D) 5y + 10 Write the fraction in lowest terms: 3b 2 2a 3 2b 3 B) 3a 2 3a 2 C) 2b 3 2a 2 D) 3b 3 A) 36a 3bc 2 24ab 4c 2
8.
CPT Review 4/17/01
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9.
Solve for x : A) − 2 B) − 3 C) 1 7 D) 3
3( x + 1) = −6
10.
Add the polynomials: A) B) C) D)
2 a + 3b + 5a − 7b
7 a − 4b 7 a + 4b 3ab 7 a − 10b
11.
Subtract the polynomials: A) B) C) D)
6x 2 6x2 6x 2 6x 2 − 2x + 9 − 2 x + 13 − 6x + 9 − 6 x + 13
(9 x
2
− 4 x + 11 − 3 x 2 − 2 x + 2
) (
)
12.
( x + 2)(x 2 − 2 x + 4 ) =
A) B) C) D) x3 +8 x 3 + 4x 2 − 8x + 8 x 3 − 4x 2 + 8x + 8 x 3 + 8x + 8
13.
The difference of twice a number and six is four times the number. Find an equation to solve for the number. A) 2x – 6 = 4 B) 2x – 6 = 4x C) 2x + 6 = 4x D) 2x – 6 = x + 4
14.
Expand: A) 4 x 2 B) 4 x 2 C) 2 x 2 D) 4 x 2
(2 x − 3) 2
−9 +9 − 12 x + 9 − 12 x + 9
CPT Review 4/17/01
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15. Which of the following numbers is the smallest? 3 A) − 4 3 B) − 2 C) − 1 2 D) − 3 16. Which of the following is the largest? A) 5 − 2 B) 2 − 5 C) − 2 − 5 D) 5 − 2 + 2 − 5 17. Solve: 3( x − 5 ) ≤ x − 8 7 A) x ≤ 2 2 B) x ≤ 7 C) x ≤ −1 D) x ≥ −1 18. A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and the third side 15 feet longer than the shortest side. If the perimeter is 100 feet and if x represents the length of the