WorksheetsCCA: Mid Year Review
Total questions: 52
Worksheet time: 5hrs 30mins
Name
Class
Date
1.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
2.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
3.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
4.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
5.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
6.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
7.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
8.
Write the equation of the line with slope 4 through the point (-2, 5).
a)
y = 4x - 13
b)
y = 4x + 13
c)
y = 4x - 3
d)
y = 4x + 3
9.
Write the equation of the line through the points (-6, -19) and (2, 5).
a)
y = -7/2x + 12
b)
y = 3x + 11
c)
y = -7/2x - 40
d)
y = 3x - 1
10.
Write the equation of the line through the points (4, 5) and (12, 9).
a)
y = 2x - 3
b)
y = 1/2x + 3
c)
y = 1/2x +7
d)
y = 2x - 15
11.
Write an equation for the line shown by counting the slope and identifying the y-intercept.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
12.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
13.
4r-3 * 2r2
a)
8r
b)
4
--
r6
--
r6
c)
16x6
d)
8
--
r
--
r
14.
(2/5)-2
a)
25/4
b)
4/25
c)
25
d)
4
15.
(3x4y3z5)3
a)
12x12y9z15
b)
9x12y9z15
c)
3x12y9z15
d)
27x12y9z15
16.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
17.
According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
According to exponent rules, when we multiply exponential expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
a3b(ab)2=
a)
a5b3
b)
a6b4
c)
a2b2
d)
a9b6
20.
Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²
a)
x¹⁹y¹²z⁹
b)
x¹⁹ y¹⁴z⁹
c)
x¹³y¹⁰z⁹
d)
x²³y⁴²z¹¹
21.
xy2x2y4
a)
xy2
b)
x3y6
c)
y2x2
d)
y2x
22.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
23.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
24.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
25.
c + 11/20 = 3/4
a)
4/20
b)
2/5
c)
1/5
d)
4/21
26.
a)
1/7
b)
47/36
c)
7
d)
23
27.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
28.
Simplify:
(x-7)2
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
29.
Find the product:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
30.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
31.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
32.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
33.
Which expression represents the value of x in the equation:
dx + e = f
dx + e = f
a)
x = (f + e)/d
b)
x = (f - e)/d
c)
x = d/(e - f)
d)
x = d/(e + f)
34.
What is the slope?
a)
2
b)
1/2
c)
1
d)
1.5
35.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
36.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
37.
What is the domain of this function?
a)
1 ≤ f(x) ≤ 7
b)
1 ≤ x ≤ 7
c)
-3 ≤ f(x) ≤ 3
d)
-3 ≤ x ≤ 3
38.
What is the range of this function?
a)
x > -2
b)
f(x) > -2
c)
f(x) ≥ -2
d)
f(x) > 2
39.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
40.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}
41.
What is the Range?
a)
-3 ≤ y < 2
b)
-3 < y ≤ 2
c)
-7 ≤ y ≤ 2
d)
-7 ≤ y < 2
42.
To find the next term in a geometric sequence…
a)
add the common difference d
b)
multiply by the common ratio r multiply by the common ratio r
43.
To find the next term in an arithmetic sequence…
a)
add the common difference d
b)
multiply by the common ratio r
44.
-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?
a)
arithmetic (common difference d = 5)
b)
geometric (common ratio r = 5)
c)
neither (no common difference OR common ratio) neither (no common difference OR common ratio)
45.
Which of the following is not an arithmetic sequence?
a)
1/2, 1, 3/2, 2
b)
11, 14, 17, 20
c)
2, 4, 8, 16
d)
5, 2, -1, -4
46.
Write the explicit formula for the sequence shown below.
3, -3, -9, -15
a)
an=3+6(n-1)
b)
an=3−6(n-1)
c)
an=6−3(n-1)
d)
an=6+3(n-1)
47.
Write the recursive formula for 4, 8, 12....
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
48.
Write the recursive formula of 13, 9, 5...
a)
an=an-1-4
b)
an=an-1+3
c)
an=an-1-5
d)
an=an-1+4
49.
Find the 7th term in the sequence of 6, 13, 20...
a)
48
b)
46
c)
42
d)
36
50.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
51.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
52.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
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