Test (elaborations) Mathematics

Algebra Test

3a + 2b
1. Evaluate the expression when a = -3 and b = -4.
2
1
A) −
2
17
B) −
2
1
C)
2
17
D)
2

2. Simplify: 3+5• 6 −4

A) 17
B) 29
C) 16
D) 30

3. Simplify: 6 − 2 • 2 + 25
A) 40
B) 18
C) 34
D) 12

3x − y
4. Evaluate: if x = 2, y = 8, and z = –2.
6z − x

1
A)
7
1
B) −
7
1
C)
5
1
D) −
5




1

, 14 − 30
5. Simplify:
2(− 4 )
A) –2
B) 2
11
C)
2
11
D) −
2


6. Use the distributive property to simplify. − 3( x − 10) + x

A) − 4x + 30
B) − 4x − 30
C) − 2x + 30
D) − 2x − 30


7. Simplify: 8y – 2 – 3(y – 4)
A) 11y – 6
B) 5y – 6
C) 5y – 14
D) 5y + 10

36a 3bc 2
8. Write the fraction in lowest terms:
24ab 4c 2

3b 2
A)
2a 3
2b 3
B)
3a 2
3a 2
C)
2b 3
2a 2
D)
3b 3




2

, 9. Solve for x : 3( x + 1) = −6

A) − 2
B) − 3
C) 1
7
D)
3

10. Add the polynomials: 2 a + 3b + 5a − 7b

A) 7 a − 4b
B) 7 a + 4b
C) 3ab
D) 7 a − 10b

11. Subtract the polynomials: (9 x 2
) (
− 4 x + 11 − 3 x 2 − 2 x + 2 )
A) 6x 2 − 2x + 9
B) 6x2 − 2 x + 13
C) 6x 2 − 6x + 9
D) 6x 2 − 6 x + 13

12. ( x + 2)(x 2 − 2 x + 4 ) =
A) x3 +8
B) x 3 + 4x 2 − 8x + 8
C) x 3 − 4x 2 + 8x + 8
D) 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: (2 x − 3) 2
A) 4 x 2 −9
B) 4 x 2 +9
C) 2 x 2 − 12 x + 9
D) 4 x 2 − 12 x + 9



3