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Alg 1A Final Exam Review

Total questions: 67

Worksheet time: 6hrs 35mins

Name
Class
Date
1.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
2.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
3.
Which quadrant is (9, 2) located?
a)
I
b)
II
c)
III
d)
IV
4.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
5.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
6.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
7.

8w is another name for

a)

8 times w

b)

w multiplied by 8

c)

the product of 8 and a number

d)

all of the above

8.

Translate this phrase into an algebraic equation:

Three times the sum of a number and 7 is equivalent to 57.

a)

3x + 7 = 57

b)

3(x + 7) = 57

c)

7x + 3 = 57

d)

7(x + 3) = 57

9.

Translate the sentence into an equation:

Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

10.

Write an algebraic expression for:

14 decreased by a number

a)

14+n

b)

14-n

c)

n-14

d)

14 decreased by a number

11.
18 times a number
a)
n - 18
b)
18n
c)
18 + n
d)
18 - n
12.
r less than 5
a)
r - 5
b)
5 - r
c)
r + 5
d)
5 + r
13.

2v + v = 3-2v\ +\ v\ =\ 3  

a)

4

b)

5-5

c)

3-3

d)

5

14.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

15.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
16.
Solve for x.
a)
55
b)
60
c)
15
d)
35
17.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

18.

115b=6b3-11-5b=-6b-3  

a)

1313  

b)

88  

c)

11-11  

d)

11  

19.

5n+3=15+8n5n+3=15+8n  

a)

3-3  

b)

1515  

c)

4-4  

d)

88  

20.

Given f(x) = -5x - 15, find f(4).

(a)  

21.

Given f(x) = -x + 12, find f(-2).

(a)  

22.

Given f(x) = -3x + 5, find f(2).

a)

f(2) = -1

b)

f(2) = -11

c)

f(2) = 11

d)

f(2) = 1

23.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
24.
a)
Function
b)
Not a Function
25.
a)
Function
b)
Not a Function
26.
a)
Function
b)
Not a Function
27.
a)
Function
b)
Not a Function
28.
a)
Function
b)
Not a Function
29.

What type of slope?

a)

positive

b)

negative

c)

zero

d)

undefined

30.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
31.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
32.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
33.

Find the slope of the line below using rise/run.

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

3

d)

13\frac{1}{3}

34.

Find the slope. Simplify, if you can.

a)

3

b)

  13\frac{1}{3}  

c)

13-\frac{1}{3}  

d)

-3

35.

Identify the slope in the equation:


y=8xy=8x  

a)

8

b)

1/8

c)

-8

d)

0

36.

y=x+5y=x+5  

Identify the slope in the equation:



(a)  

37.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
38.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
39.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

40.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3
41.

What is the y-intercept?

y=7xy=7x  

a)

There isn't a y-intercept

b)

0

c)

7

d)

undefined

42.

What is the equation of the line with y-intercept -7  and slope 6?

a)

  y=6x7y=6x-7  

b)

y=7x+6y=-7x+6  

c)

7=6x+b-7=6x+b  

d)

6=7x+b6=-7x+b  

43.

Which of the graphs represents the linear inequality y>12x+3y>\frac{1}{2}x+3  ?

a)
b)
c)
d)
44.

Which of the graphs represents the linear inequality yx4y\le-x-4  ?

a)
b)
c)
d)
45.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
46.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
47.
Add the following polynomials:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
48.
Subtract the following polynomials:
(7p + 4p3 - 8) - (-3p+ 2 - 9p)
a)
-3p+ 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
49.
Find the product:
2x( -2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
50.
What is the Perimeter?
a)
3x - 3 inches
b)
6x - 6 inches
c)
3x - 6 inches
d)
6x - 3 inches
51.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

52.

Classify by number of terms:

3x3 – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

53.

What is the CONSTANT of this polynomial?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

54.
Classify by degree of polynomial:
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
55.

Find the product:

(3x + 2)(2x + 4)\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)  

a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
56.

Find the product: (n  5)(n  1)\left(n\ -\ 5\right)\left(n\ -\ 1\right)  

a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n+ 5
d)
n2 + 6n + 5
57.

Find the product:

(2x7)(x+2)\left(2x-7\right)\left(x+2\right)  

a)

2x25x+42x^2-5x+4  

b)

2x2+3x+142x^2+3x+14  

c)

2x23x142x^2-3x-14  

d)

x2+3x14x^2+3x-14  

58.

What is the area of this rectangle?

a)

48

b)

8x2+14x+68x^2+14x+6

c)

8x2+x+58x^2+x+5

d)

2x2+6x+82x^2+6x+8

59.
What is the GCF of 18k and 15k3
a)
3k2
b)
3k3
c)
3k
d)
5k
60.
Factor the polynomial. 
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
61.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
62.
x- 16
a)
Prime
b)
( x - 4) ( x + 4) 
c)
( x - 8) ( x + 8) 
d)
( x - 4) ( x - 4) 
63.
w3 + 3w
a)
3w(1)
b)
w(w2 + 3)
c)
w3(w + 3)
64.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
65.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
66.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
67.
Factor Completely:
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)