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WorksheetsH.W. DEC 2024
Total questions: 189
Worksheet time: 15hrs 33mins
[25-(13+4)+4] ÷ 3
x2 + y2 + x - y
when x = -1 and y = 3
when a = 3, b = 4, and c = -6
if r = -3 and s = 4
-7w2 + 2w if w = -4
104
-64
-120
120
3p(4p - 7q)?
a(a - 10)?
Mult (2x + 3)(3x + 4)
6x2 + 17x + 7
6x2 + 17x + 12
6x2 + 8x + 12
6x2 + 9x + 12
x2+11x+16
x2+5x+24
x2+11x+24
2x2+11x+24
Expand (x-3)2
X2 + 9
X2 + 9X
X2 + 6X + 9
2X2 +6X +9
Expand and simplify 2X3y2 ( Xy - 2X2)
2X3y2 - 4X5y2
-2X2y3
2X4y3 - 4X5y2
2X4 y3- 4X6y2
Which of the following ordered pairs (x, y) is a solution to the system of equations above?
(−3,−1)
(−1,−3)
(1,3)
(3,1)
12
24
36
60
-4
0
1
2
225
50
5
0.2
(a)
Based on the equation above, what is the value of 5x + 1?
(a)
7x - 3x - 8 = 24
Solve for x.
Solve the equation for x.
2∣3x−1∣=10
x=7, 19/3
x=-7, 19/3
x=7, -19/3
x=7
x2+4x-32=0
x= -8, 4
x= 8, -4
x= -8, -4
6x2-x-2=0
x= -2/3, 1/2
x= 2/3, -1/2
x= -2/3, -1/2
Solve using the Zero-Product Property.
(x + 4)(x − 3) = 0
x = 4 and x = −3
x = 2 and x = 1
x = −4 and x = 3
x = −2 and x = 1
Select the solution(s) for the quadratic: x2−11x+19=−5
3
8
-9
-3
Find the solutions to 3x2 + 18x +10= -5
x = -5 and -1
x = 5 and 1
x = 0 and 5
x = -2 and 4
Expand and simplify the following quadratic expression...
(x + 3)(x + 2)
x2 + 5x + 6
x2 + 5x + 5
x2 + 6x + 6
x2 + 6x + 5
Expand and simplify the following quadratic expression...
(x + 4)(x + 6)
x2 + 10x + 24
x2 + 10x + 10
x2 + 24x + 10
x2 + 24x + 24
Expand and simplify the following quadratic expression...
(x - 6)(x - 4)
x2 - 10x + 24
x2 - 10x - 24
x2 + 10x - 24
x2 + 10x + 24
Factorise the following quadratic expression...
x2 + 14x + 24
(x + 12)(x + 2)
(x + 8)(x + 3)
(x + 4)(x + 6)
(x + 24)(x + 1)
Factorise the following quadratic expression...
x2 + 12x + 32
(x + 16)(x + 2)
(x + 8)(x + 4)
(x + 6)(x + 6)
(x + 32)(x + 1)
Factorise the following quadratic expression...
x2 + 13x + 40
(x + 8)(x + 5)
(x + 10)(x + 4)
(x + 20)(x + 2)
(x + 40)(x + 1)
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
Oatmeal Cookies $3
Oatmeal Cookies $8
Oatmeal Cookies $6
Oatmeal Cookies $6
2x − 3y = −1
y = x − 1
6x + y = 2
These lines are...
m = 5/8
Are the two linear equations parallel, perpendicular, or neither?
Parallel
Perpendicular
Neither
5x - y = 1 and -10x + 2y = 3
A line is perpendicular to y = 2x + 4
What is the slope of this line?
-2
1/2
-1/2
2
Find the coordinates of the midpoint of the segment between (-14 ,4) and (3 ,10).
(-5.5,-3)
(-5,6.5)
(-8.5,-3)
(-9,6.5)
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
9.9
8.6
12.1
13.0
Find the endpoint of the segment with one endpoint of (-4, 5) and midpoint of (7, -9).
(18, -23)
(13, 18)
(11,4)
(1.5, -2)
0.5
0.4
.8
If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.
6, 9, 15
Acute
Right
Obtuse
What is the area of the triangle?
60 square units
90 square units
45 square units
30 square units
What is the area of the trapezoid?
15 square cm
25 square cm
50 square cm
100 square cm
What is the perimeter of this figure?
40 square centimeters
40 centimeters
26 centimeters
26 centimeters squared
What is the area of the rectangle?
42 square centimeters
40 square centimeters
40 centimeters
42 centimeters
13 centimeters
What is the area of this triangle?
10 m
14 m
140 m2
70 m2
Find the area of the parallelogram.
80
90
720
40
Find the value of x if the area of the triangle is 19.25 in2.
7
3.5
8
6.5
44 mi2
56 mi2
34 mi2
11 mi2
What is the area of this circle?
4π
8π
16π
π
What is the area of this circle?
12π
6π
144π
36π
What is the area of this figure?
208.5 m2
109.5 m2
415.7 m2
322.4 m2
What is the area of the shaded region?
16 cm2
12.9 cm2
22.4 cm2
15.8 cm2
What is the area of the shaded region?
47 cm2
122 cm2
32 cm2
60 cm2
What is the area of the shaded region?
23.1 cm2
5.1 cm2
17.4 cm2
37.3 cm2
Find the area of the kite in square feet.
34
68
17
18.5
What is the area of this kite?
320 square centimeters
160 square centimeters
36 square centimeters
6336 square centimeters
Find the area of the kite in square centimeters.
24
48
12
67.5
What does the "B" in the volume formula V = Bh stand for?
Bottom of the object
Box
Between
Area of the base
55 yd3
121 yd3
22 yd3
330 yd3
Find the volume of the figure. Round to the nearest tenth.
80 cm³
40 cm²
80 cm2
40 cm³
Find the volume
960 cm 3
240 cm 3
960 cm 2
1920 cm 3
Find the surface area.
6658.56 mm2
452.16 mm2
904.32 mm2
108.8 mm2
Find the volume.
9156.24
339.12
1017.36
3052.08
What is the slope of line XY?
⅛
8
-1
-8
What is the slope of the line?
1
-1
0
undefined
What is the slope of this line?
1
-1
0
Undefined
What is the slope between the points (5,3) and (-4, 9)?
⅔
-⅔
1
0
If m∠4 = 57, what other angles are equal to angle 4?
1
2
3
4
6
(3 + 2i) + (4 - 5i)
7 + 7i
1 - 3i
1 - 7i
7 - 3i
(3 + 8i)(-2 - i)
2-19i
23-i
34+5i
23-i
What is the RANGE of her test scores?
Find the median from the list of numbers:
60, 58, 52, 48, 60, 67
58
59
60
118
Calculate the mean.
2, 9, 10, 6, 8
8
4
7
22
3, 5, 7, 4, 3, 1
According to the box plot,
what is the MEDIAN?
79
85
93
70
99
66
58
60
64
64
62
66
58
4
64
60
8
Top plot
Bottom plot
70
65
80
55
What is the RANGE?
100
28
72
15
What is the MEAN?
53.01
49.00
48.48
55.53
ax2 + bx + c
b - 4ac
b2 - 4ac
b2 + 4ac
What is the discriminant of -2x2 − x − 1 = 0
76
-7
9
none of these
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
Given the discriminant is -92, how many solutions are there?
2 Real
1 Real
2 Imaginary
None
When in standard form, what is the value of a, b and c in this quadratic?
8x2 + 3x - 6 = 3x
a = 8 b = 0 c = -6
a = 8 b = 6 c = -6
a = 8 b = -6 c = 0
a = 8 b = 3 c = -6
What is the discriminant of this equation?
-5x2 - 6 = 0
120
36
16
-120
Give the vertex of the equation.
(-5, -4)
(-4.5, -0.25)
(4.5, -0.25)
(5, 4)
Give the vertex of the equation.
(1, -6)
(-1, -6)
(-6, 1)
(1, 6)
Give the vertex of the equation.
(7, -206)
(7, -10)
(-7, -10)
(-7, -206)
Give the vertex of the equation.
(6, -4)
(2, 4)
(2, -4)
(-2, -4)
Find the product:
(3x + 2)(2x + 4)
6x2 + 16x + 8
5x2 +11x + 6
5x2 + 16x + 6
6x2 + 11x + 8
What is the domain of the function?
{x ≥ 3}
{x ≤ 3}
All real numbers
{-1 ≤ x ≤ 5}
What is the domain and range of the following function:
y = 3x2−6x+5
Domain: (−∞,∞)
Range: (−∞,2]
Domain: (−∞,∞)
Range: (2,∞)
Domain: (−∞,∞)
Range: [2,∞)
Domain: (−∞,∞)
Range: (−∞,2)
l 4x−3 l = 17
Solve the inequality: 2(x + 3) < 14
x = 4
x > 4
x > 3
x < 4
Match this number line
to its correct solution.
x > 2
x > 2
x < 2
x < 2
Solve: -3 ≤ 2x - 1 ≤ 5
-1 ≤ x ≤ 3
-2 ≤ x ≤ 6
-3 ≤ x ≤ 3
1 ≤ x ≤ 3
Which coordinate point is a solution to the system of inequalities?
(o,o)
(2,2)
(1,-3)
(4,-1)
Which point is a solution?
(0, 6)
(-3, 4)
(3, 0)
(-4, 3)
What is 25% of 3 200?
800
900
700
What percent of 150 is 30?
20%
1/5
0.20
2%
Jayden is buying an Ipod that has a price tag of $85. At the register, the cashier applies a 20% discount to the $85 price. How much will Jayden pay for the Ipod after the 20% discount?
$76.50
$72.25
$68.00
$17.00
Dinner at the Olive Garden cost $52.37. You leave a 20% tip. You get 15% discount. What is the total cost?
$72.37
$10.47
$53.42
$41.90
x2+(y−3)2=9 Give the Center
(0,0)
(0,-3)
(3,0)
(0,3)
x2+(y−3)2=9 What is the radius?
9
6
3
(-3
Write the equation of the circle
(x−7)2+(y−3)2=9
(x−3)2+(y+7)2=9
(x+7)2+(y+3)2=9
(x+3)2+(y+7)2=9
What is the center and the radius of the circle x2+y2+10x+12y=−12?
center (−5,−6), r=7
center (5,6), r=7
center (−5,−6), r=1
center (5,6), r=1
What is the measure of angle A?
34°
180°
112°
79°
Find the measure of the missing arc (?).
98o
140o
85o
94o
Find the measure of the missing angle (?).
115o
50o
124o
95o
Find the measure of arc NM
192o
217o
186o
124o
Find the measure of ∠HFG
23
44
3
48
Warm up Question
To find the circumference of a circle which formula do you use
2πr
πr2
A
B
C
D
12.56
64
34.24
13.76
The rectangle has length 20cm and width 11cm.
The circle has diameter 8cm.
Work out the shaded area.
Give your answer correct to 2 decimal places.
169.73cm2
169.7cm2
169.73m2
Solve for x.
What is the formula to find the number of diagonals in a polygon?
(n−2)⋅180
(n−2)⋅2180
n360
2(n−3)⋅n
How many diagonals does the following shape have?
10 diagonals
8 diagonals
16 diagonals
20 diagonals
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
Oatmeal Cookies $3
Oatmeal Cookies $8
Oatmeal Cookies $6
Oatmeal Cookies $6
Bus 14
Bus 21
Bus 43
Bus 45
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
