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Algebra 1B Exam Review 1

Total questions: 28

Worksheet time: 14mins

Name
Class
Date
1.

Factor using the difference of 2 squares:

 

x2 – 4

a)

(x+2)(x–2)

b)

(x–2)(x–2)

c)

(x+2)(x+2)

d)

(x+4)(x–4)

2.

Factor using the difference of 2 squares:

9x2 – 100

a)

(x+10)(3x–10)

b)

(3x–10)(3x-10)

c)

(3x+10)(3x+10)

d)

(3x+10)(3x–10)

3.

Factor using the difference of 2 squares:

x2 = 81

a)

(x+3)(x-9)=0

b)

(x-9)(x–9)=0

c)

(x+9)(x+9)=0

d)

(x+9)(x-9)=0

4.

4 – 13 =

a)

7

b)

-7

c)

9

d)

-9

5.

-4 - 14 =

a)

-10

b)

-18

c)

10

d)

-18

6.

-6 + 7 – 2 =

a)

2

b)

-8

c)

1

d)

-1

7.

Multiply

(x)(x)(x) =

a)

x3

b)

3x

c)

3

d)

x

8.

Multiply:

(12x2)(2x10)=

a)

14x12

b)

24x20

c)

24x12

d)

14x20

9.

Simplify

x + x + x =

a)

 x3

b)

3x

c)

3

d)

x

10.

2x – 6x + 10x =

a)

-4x

b)

4x

c)

6x

d)

-6x

11.

Distribute:

x(x – 1) =

a)

x2-x

b)

2x-x

c)

x2–1

d)

2x­­–1

12.

(x­–5)(x+4)

a)

x2–9x–20

b)

x2 +9x – 20

c)

x2–x–20

d)

x2–x+20

13.

Factor:

x2+10x+25

a)

(x+5)(x–5)

b)

(x–5)(x–5)

c)

(x+5)(x+5)

d)

(x+1)(x+25)

14.

Factor:

x2-4x+3

a)

(x-3)(x-1)

b)

(x+3)(x+1)

c)

(x-3)(x+1)

d)

(x-1)(x+4)

15.

Factor:

x2+11x+18

a)

(x+9)(x+2)

b)

(x+3)(x+6)

c)

(x+18)(x+1)

d)

(x–9)(x–2)

16.

Factor out a 2 from the following equation:

4x2–8x+12=0

and you get:

a)

2(2x2–4x+6)=0

b)

2(2x2–4x-6)=0

c)

2(2x2+8x+6)=0

d)

2(2x2–4x+24)=0

17.

What would the 2 solutions of x for the following be?

(x–13)(x+13)=0

Hint...separate/”divorce” each and set them equal to 0 to solve for x...

a)

x=13 and x=0

b)

x=-13 and 0

c)

x=-13 and x=13

d)

none of the above

18.

Which of the following would be a perfect equation factoring for “the difference of 2 squares”?

a)

100–x

b)

100x2–10

c)

x2–10

d)

x2–100

19.

Find the a, b, and c values for the following quadratic equation:

x2+14x–12=0

a)

a=2, b=14, c=-12

b)

a=1, b=14, c=12

c)

a=0, b=14, c=-12

d)

a=1, b=14, c=-12

20.

Find the a, b, and c values for the following quadratic equation:

3x2–4x+2=5

a)

a=3, b=4, c=5

b)

a=3, b=-4, c=-3

c)

a=3, b=-4, c=2

d)

a=3, b=4, c=-3

21.

If a=1, b=2, c=-1, then the discriminant, b2-4ac =

a)

9

b)

-9

c)

8

d)

-8

22.

If a=3, b=0, c=-1, then the discriminant, b2-4ac =

a)

-12

b)

9

c)

12

d)

-9

23.

If the discriminant, b2-4ac is positive, the graph

a)

Has 2 real solutions

b)

Has 1 real solution

c)

Has no real solutions

d)

Has infinite solutions

24.

If the discriminant, b2-4ac is zero, the graph

a)

Has 2 real solutions

b)

Has 1 real solution

c)

Has no real solutions

d)

Has infinite solutions

25.

If the discriminant, b2-4ac is negative, the graph

a)

Has 2 real solutions

b)

Has 1 real solution

c)

Has no real solutions

d)

Has infinite solutions

26.

If the a value of the graph is POSITIVE, the graph will open

a)

upward

b)

downward

27.

The graph for the following equation:

-x2 +9x – 20

will open

a)

upward, since it has a positive a value (1)

b)

downward, since it has a negative a value (-1)

28.

What is the Feast day of the Immaculate Conception

a)

December 12th

b)

December 6th

c)

December 18th

d)

December 8th