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Midterm review for Algebra 1

Total questions: 78

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
2.
√100
a)
10
b)
200
c)
5
d)
25
3.
132
a)
26
b)
196
c)
144
d)
169
4.
What is the square root of 49?
a)
6
b)
7
c)
8
d)
9
5.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
6.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
7.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
8.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
9.
Which of the following is NOT a subset of the rational numbers?
a)
Integers
b)
Whole Numbers
c)
Perfect square integers
d)
Irrational numbers
10.
List all the classifications of numbers that apply to the real number. 
436
a)
Irrational 
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
11.
Zero
a)
Rational, Integer
b)
Rational
c)
Rational, Integer, Whole
d)
Rational, Integer, Whole, Natural
12.
π or PI is classified as which?
a)
Rational
b)
Irrational
c)
Rational, Real
d)
Irrational, Real
13.
Which of the following names goes in the purple box?
a)
Whole Numbers
b)
Integers
c)
Rational Numbers
d)
Irrational Numbers
14.

Which number is a whole number but NOT a natural number?

a)

0

b)

1

c)

1/4

d)

5.9

15.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
16.
(19 - 7) ÷ 4 + 11
a)
14
b)
0.8
c)
15
d)
13
17.
12 ÷ 3 x 4
What do you do first?
a)
3x4
b)
12÷4
c)
12÷3
18.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
19.
Five times Mike's age, increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
20.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
21.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
22.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
23.
Evaluate the expression.        Let    a = 4
5a + 7a - 8
a)
48
b)
28
c)
40
d)
35
24.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
25.

6w - 6w + 6w + 9w

a)

w

b)

15w

c)

9w

d)

6w

26.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
27.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
28.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
29.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
30.
Solve.
(2x - 3) / 4  = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
31.
Solve the equation:
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
32.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
33.
2(x + 6) + 3 = 9 + 5x
a)
16
b)
2
c)
-8
d)
-10
34.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
35.
Solve for y:
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
36.
Solve for w:
A = LW
a)
A = L/W
b)
w = L/A
c)
w = A
d)
w = A/L
37.
Solve for t.

6t + 4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
38.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
39.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
40.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
41.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
42.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
43.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
44.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
45.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
46.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
47.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
48.
What direction is an undefined slope?
a)
horizontal
b)
vertical
49.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
50.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
51.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
52.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
53.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
54.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
55.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
56.

Which is an equation for the graphed line?

a)

y − 3 = -1/2(x + 1)

b)

y − 3 = 1/2(x − 1)

c)

y − 1 = 2(x + 3)

d)

y + 1 = -1/2(x + 3)

57.

Which is an equation for the graphed line?

a)

y − 1 = -3/2(x − 2)

b)

y − 1 = -3/2(x + 2)

c)

y − 2 = -2/3(x − 1)

d)

none of these

58.

Graph 2x + 4y = 4

a)
b)
c)
d)
59.

x + y = 4

a)
b)
c)
d)
60.

y = 4 + x

a)
b)
c)
d)
61.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
62.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
63.
What is the y-intercept?
a)
12
b)
-3
c)
8
d)
0
64.
Change the following to slope-intercept form:
5x - 5y = 25
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
65.

Convert the given standard form equation into slope intercept form.

a)

y = -2/5x - 2

b)

y = 2/5x -2

c)

y = -5/2x - 2

d)

y = 5/2x + 2

e)

y = -2x - 2

66.

Write an equation in slope-intercept form that goes through the points (4, 6) and (0, 5)

a)

6 = 4x + 5

b)

y = 1/4x + 5

c)

y = -1/4x + 5

d)

y = 4x + 5

67.

Write an equation in slope-intercept form that goes through the points (-2, -1) and (-3, 5)

a)

y = 6x + 13

b)

y = -6x - 13

c)

y = -1/6x + 1

d)

y = 1/6x - 1

68.

Find the equation of the line that passes through the points:


(3, 4) and (0, -5)

a)

y = 3x + 5

b)

y = -3x + 4

c)

y = -3x + 4

d)

y = 3x - 5

69.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
70.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
71.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
72.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
73.

What slope is perpendicular to m = 3?

a)

m = -3

b)

m = -1/3

c)

m = 1/3

d)

m = 3

74.

What slope is parallel to m = 5/8?

a)

m = -5/8

b)

m = 5/8

c)

m = -8/5

d)

m = 8/5

75.

Identify whether these lines are parallel, perpendicular, or neither.

y = 5/7x +2

y = 5/7x - 30

a)

Parallel

b)

Perpendicular

c)

Neither

76.

Which of the following lines passes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

77.

Write an equation for the line parallel to -5x+3y=6 and contains the point (-3, -8).

a)

y = (5/3)x -3

b)

y = (5/3)x + 3

c)

y = (-5/3)x - 3

d)

y = (-5/3)x + 3

78.

Write an equation of a line passing through the point (-1, 3) and parallel to AB with A(3, -5) and B(-2,15).

Hint: Find the slope of AB first.

a)

y = -4x - 1

b)

y = -4x + 7

c)

y = 1/4x - 8

d)

y = 1/4 x + 5

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