WorksheetsAlgebra I Midterm Assessment
Total questions: 25
Worksheet time: 58mins
Name
Class
Date
1.
A car travels 68 miles in 40 minutes.
How many miles does the car travel per HOUR?
a)
105 miles
b)
100 miles
c)
98 miles
d)
102 miles
2.
You know that 2.54 cm = 1 inch.
How many inches equals 38.9 centimeters?
a)
98.8 inches
b)
41.44 inches
c)
15.3 inches
d)
16.3 inches
3.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
4.
Simplify √75.
a)
5
b)
5√3
c)
3√5
d)
25√3
5.
(3√6)+(4√6)
a)
42
b)
7√6
c)
7√12
d)
√12
6.
Solve: 3√6 + 3√2 - 5√6 - 2√2
a)
-2√6 + √2
b)
-√2
c)
6√2 - 7√6
d)
2√6 - √2
7.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating decimal.
8.
What type of number is π ?
a)
Rational
b)
Irrational
9.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
10.
Select all irrational numbers.
a)
√32
b)
5.777...
c)
√25
d)
1.010010001...
e)
π
11.
Factor:
10a4+16a+10a2
10a4+16a+10a2
a)
2a(5a3+8+5a)
b)
2a4(5a+8a2+5a3)
c)
2a4(10+16a+40a2)
d)
3a3(5+8a+a2)
12.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
13.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
14.
Find the solutions of the following quadratic equation:
m 2 − 9m + 8
a)
1
b)
-1
c)
8
d)
-8
15.
Find the roots of the following quadratic equations:
x2 − 16x + 63
a)
8
b)
9
c)
-9
d)
7
16.
a)
A
b)
B
c)
C
d)
D
17.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
18.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
19.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
20.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
21.
When do you use the plus or minus symbol?
±
±
a)
After taking the square root of both sides
b)
After adding the square to both sides
c)
After taking half of b
d)
After setting the equation equal to zero
22.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
23.
Complete the square.
x2 + 6x + ____
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
24.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
25.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
100 %
