When solving a linear equation in one variable

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Reference no: EM131023531

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

Reference no: EM131023531

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