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Algebra Problems

When solving a linear equation in one variable, the objective is to isolate the variable on one side of the equation. What does that mean? Give an example.

1.
Add.

(9a3 + 3a2) + (5a3 + 6a2)

A) 14a6 + 9a4
B) 23a5
C) 14a3 + 9a2
D) 23a10

2.
Add.

(-9 + 3n6 + 3n5) + (2n6 + 5n5 + 6)
A) 5n6 + 8n5 - 3
B) 10n11
C) 5 + 8n6 - 3n5
D) -7n6 + 8n5 + 9

3.
Add.

(9 + 8x2 + 9x4 - 7x3) + (-2x3 + 2x2 + 2 + 5x4)
A) 14x4 - 9x3 + 10x2 + 11
B) 7x4 + 7x3 + 11x2 - 2
C) 15x18 + 11
D) 14x8 - 9x6 + 10x4 + 11

4.
Subtract.

(-8a3 - 14a2) - (-14a3 - 18a2)
A) 6a3 - 32a2
B) -22a3 - 32a2
C) 6a3 + 4a2
D) 10a5

5.
Subtract.

(8n7 + 2n6 + 17) - (5n6 + 5n7 + 15)
A) 3n7 - 3n6 + 32
B) 3n7 + 7n6 + 32
C) 2n13
D) 3n7 - 3n6 + 2

6.
Perform the indicated operations.

(4x2 + 5) - (2x2 - 6) + ( 4x2 - 10x)
A) 10x2 + 10x - 1
B) 6x2 - 10x + 11
C) 10x2 - 10x + 11
D) 6x2 - 10x - 1

7.
Perform the indicated operations.

(5s2 - 3s) - (2s2 - 7s) + ( 5s2 - 6)
A) 8s2 + 4s - 6
B) 8s2 -10s - 6
C) 12 s2 -10s - 6
D) 12 s2 + 4s - 6

8.
Multiply.

(4m2)(5m4)
A) 20m
B) -20m6
C) -20m
D) 20m6

9.
Multiply.

4(5x)
A) 20
B) 20x
C) 9x
D) 9

10.

Multiply.

-12x(6x - 11)
A) 60x2
B) -72x2 + 132x
C) 6x2 + 132x
D) -72x2 - 11x

11.
Multiply.

-8x5(11x3 + 6)
A) -136x5
B) -88x8 + 6
C) -88x8 - 48x5
D) -88x3 - 48

12.
Multiply.

-8x2(-10x4 + 9x3)
A) 8x2
B) 8x6 + 8x5
C) 80x6 - 72x5
D) 80x6 + 9x3

13.
Multiply.

(x + 6)(x - 6)
A) x2 - 36
B) x2 - 12x - 36
C) x2 - 12
D) x2 + 12x - 36

14.
Multiply.

(2x - 7)(x - 4)
A) x2 - 15x + 50
B) x2 + 28x - 15
C) 2x2 - 15x + 28
D) 2x2 + 50x + 28

15.
Multiply.

(2x + 9)(2x - 9)
A) 4x2 - 36x - 81
B) 2x2 - 36x - 81
C) 4x2 + 36x - 81
D) 4x2 - 81

16.
Factor.

4x2 + 33x + 35
A) (4x + 5)(x + 7)
B) (x - 28)(x + 7)
C) (x + 5)(x + 7)
D) (4x - 28)(x + 7)

17.
Factor.

4x2 - 25x - 56
A) (x - 7)(x - 8)
B) (x + 4)(x - 8)
C) (7x + 4)(x - 8)
D) (4x + 7)(x - 8)

18.
Factor.

6x2 - 53x + 40
A) (5 - 6x)(6x - 5)
B) (x - 8)(6x - 5)
C) (6x + 35)(6x - 5)
D) (x + 8)(6x - 5)

19.
Factor.

y2 - 64
A) (y + 64)(y - 64)
B) (y + 8)(y - 8)
C) (y2 + 8)(y2 - 8)
D) (y - 8)(y - 8)

20.
Factor.

x2 + 16x + 64
A) (x + 8)2
B) (x + 8)(x - 8)
C) (x - 8)2
D) Prime

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