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WorksheetsHW1 ACT Dec 2023
Total questions: 160
Worksheet time: 11hrs 42mins
[25-(13+4)+4] ÷ 3
(2 + 7 - 1) ÷ 22
if a = 10 and b = 6
Solve
3x2 - 192 = 0
Solve (4x + 3)(x - 6) = 0
x = {-3/4, 6}
x = {-3, 6}
x = {3/4, -6}
x = -3/4, -6}
Solve a2 + 10a - 24 = 0
a = {2, -12}
a = {4, 6}
a = {-12, 2}
a = {-6, -4}
Which of these equations has zeros at 4 and -3?
f(x) = x2 + x - 12
f(x) = x2 - x + 12
f(x) = x2 - x - 12
f(x) = x2 + x + 12
What is the solution to the equation?
−118=−5(4+7x)+7
−5
−9
3
−1
What is the solution to the equation?
−3(n+8)−4=−40−n
11
6
2
1
Find the solution to the equation.
43x+52=x−107
522
225
1522
411
How many solutions?
One solution
2 Solutions
No Solution
Empty Set. Does not equal zero.
Find the Area:
54 ft2
45 ft2
63 ft2
36 ft2
Find the perimeter:
54 ft
45 ft
32 ft
36 ft
What is the perimeter of the rectangle?
14 feet
28 feet
48 feet
2 feet
x-2y=1
x+4y=7
Solve the system:
x+ 3y = 9
2x+ y = −2
(3,2)
(-2, 2)
(3, -4)
(-3, 4)
(0.5, -3)
Solve the system:
y=5x−5
y= −4x+22
(1, 2)
(3, 10)
(-1, 2)
(-3, 10)
Solve the system.(use calculator)
(3, -2, 4)
(2, -3, 1)
(-3, 2, -1)
Infinitely many solutions
What is the slope?
2
1
0
-2
Which of the following lines is PERPENDICULAR to the graph of
y = -6x + 3 ?
y=61x+2
y=x+4
y=−61
y=6x−32
Which of the following lines is PARALLEL to the graph of
5x + 2y = 8?
y=−25x+7
y=25x−19
y=52x
y=2x−5
Which graph would be parallel to the graph of the equation y = - ⅔ x + 20
Write the equation of the line that is parallel to the line y=3x+7 and passes through the point (-4, -14).
y = -3x +10
y = -3x - 4
y = 3x - 14
y = 3x - 2
(4x2+ x) - (x2+ 2x)
(5x + x2 - 4) - (4x - x2 + 6)
(4x - 1)(5x−2)
20x2 + 3x − 2
20x2 − 11x + 5
20x2 − 13x + 2
20x2 − 3x − 2
What is the measure of x?
101°
111°
121°
131°
Find the indicated angle measure. (What is ?)
51°
37°
167°
41°
Set up an equation to find x.
42 + 8x = 2 + 12x
2 + 12x + 42 = 8x
42 + 8x + 2 + 12x = 180
42 + 8x = 180
Find the missing angle labeled x.
105o
115o
75o
65o
What is the sum of interior angles of a nonagon?
1260o
1080o
360o
900o
Find the sum of the interior angles of this polygon
180o
1080o
720o
540o
What is the sum of interior angles for a 24-gon
360o
2400o
39600
4500o
How many sides does a heptagon have?
4-sides
6- sides
7- sides
10- sides
What is the sum of interior angles for a 36-gon?
3400o
6100o
6210o
6120o
Calculate the missing angle.
1300
125o
100o
120o
Calculate the sum of interior angles of a polygon with 20 sides.
3000o
3240o
1500o
1820o
Find the mean of the numbers below:
12, 8, 14, 5, 1, 3, 0, 8, 10, 11
7.2
8
9
7.4
What is the mode of the following data set?
5, 7, 7, 8, 12 , 12, 5, 6, 13, 12
5
7
12
no mode
What is the range of miniature golf scores?
44 points
29 points
33 points
39 points
Find the median:
4, 8, 5, 5, 8, 8, 2, 7
3
5
6
8
Which is the mean ?
16.23
16.023
18.23
19.23
Which is the median ?
19
18
17
16
Which is the Mode ?
19
18
17
20
The point (-5,6) is on a circle with center (-1,3) write the equation of the circle
(x+1)2 + (y-3)2= 4000
(x+5)2 + (y-0)2= 25
(x+1)2 + (y-3)2= 25
(x-1)2 + (y+3)2= 25
center= (-7,1) radius= 5
(x+2)21+3=7
14
-14
98
0
8−x+12=3
no solution
5−12
13
37
Choose the correct function.
Choose the correct function.
f(x)= -|x-1|+1
f(x)= |x+1|-1
f(x)= |x-1|-1
f(x)= |x|+1
Marco gets a new job that pays a salary of $36,000 per year. Suppose he gets a 2% raise at the end of his first year. How much will he be making after 1 year?
$36, 002
$36,200
$36, 640
$36,720
When Ratiba started her last job, she was earning $28,000 a year. After 3 years, her salary was $29,120. Find the percent increase in her salary.
3% increase
3.5% increase
4% increase
4.5% increase
340 pages; 20% decrease
The regular price of a scooter is $65.00. It is on a discount by 13% and the tax to
be paid is 4%.How much is she going to pay at the cash register?
58.52
58.00
59
58.81
Find the the perimeter:
54 ft
32 ft
63 ft
36 ft
−3x−2=x2−2
no solution
5−12
-3
37
x + 5 ≤ 13
Solve the system of inequalities by graphing.
Identify all solutions for the graph
(2, 3)
(4, -2)
(2, -4)
(-2, 0)
x + y ≤ 8
2x + 8y ≤ 14
8x + 25y ≤ 14
x + y ≤ 14
Pick the correct letter for:
2x−14<−11
A
B
C
D
90, 100, 95, 85, 60, 80
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?
Find the area of the sector, rounding your answer to 1d.p.
67.1cm2
67.0cm2
16.8cm2
134.0cm2
Find the arc length.
3π/4 ft
39π/4 ft
13π/4 ft
4π/13 ft
Find the arc length
7 cm
28π cm
7π cm
28 cm
3(x + 8) + 2(x + 5)
5x + 35
5x + 34
6x + 34
6x + 13
x - y = 6
y= 2x - 5
Solve:
x + y = 55
x - y = 3
−4x − 4y = 0
4x + 4y = 0
What is the slope parallel to the following equation
4x+3y=12
43
34
−34
−43
What is the slope perpendicular to the following equation
4x+3y=12
43
34
−34
−43
How many diagonals does a 9-gon have?
54
27
9
18
Which polygon has 90 diagonals?
A 90-gon
A 12-gon
A 10-gon
A 15-gon
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 a 80-gon have?
80
77
3080
2085
Warm up!
Choose the correct trigonometric ratio
(Remember SOH-CAH-TOA)
Sin = hypopp
Cos = OppAdj
Tan=hypopp
Cos = opphyp
Question 8: Find the value of the variable. Round the length of the segment to the nearest tenth.
2.1
1.9
3.2
1.6
Question 9: Find the value of the variable. Round to the nearest whole degree
31o
46o
67o
45o
Question 10: Find the value of z. Round to the nearest tenth
10.7
9.7
7.5
5.3
-3x + 6(1 + 2x) = 2x + 27
x2+4x-32=0
x= -8, 4
x= 8, -4
x= -8, -4
4x2+7x-17=3x2+12x-3
x= -7, -2
x= 7, -2
x= -7, 2
3x2+9x-30=0
x= 2, -5
x= 5, -2
x= -5, -2
3x2-48=0
x= 4, 4
x= -4, -4
x= -4, 4
What are the zeros of the function f(x) = -2x3 - 4x2 + 6x?
Solve the following equations:
x3+7x2−36=0
{2, -3, -6}
{2, 3, -6}
{-3, 2, 6}
None of the above
(7, 0) with radius 3.
x2 + y2 - 10x + 8y -8 = 0
x²+y²-10x+8y-23=0?
3−2x−1=6
no solution
5
5/2
-5
2x−6−3x−14=0
8
-20
-8
20
x−7=(19−x)21
10
-10
3
-3
Graph and identify a possible solution.
y>-⅔x-3
y<⅔x+1
(-3,-4)
(0,-4)
(4,5)
(3,-2)
Which of the following is a solution to the systems of inequalities?
(0, 0)
(-3, 0)
(2, -5)
(3, -1)
Factor completely.
2n2-8n3
2n2(n-4n2)
2n2(1-4n2)
2n3(10-8n2)
3n(1-4n)
Factor completely
45xy + 15x3y + 10y
5y (9xy + 3x2 + 2y)
5xy (9 + 3x2 + 2)
5x (9y + 3xy + 2)
5y (9x + 3x3 + 2)
