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WorksheetsMath G8
Total questions: 155
Worksheet time: 3hrs 28mins
John has d pens. He buys another d + 3 pens to James. How many pens do John have?
2d + 3
d + 3
d + 6
2d
It costs $7 to enter an amusement park and $3 for each ride. Lilith spent a total of $70 in a day’s visit to the park. which equation can be solved to model: How many rides did she have?
7x + 3 = 70
70 = 7 + 3x
70 = 3x - 7
70x + 7 = 3
The sum of 3 consecutive even integers is 54. Find the largest number.
16, 18, 20
16, 17, 18
16
20
A leasing company requires $500 deposit and $300 rent per month to lease an apartment. If the total payment was $2600, how many months was the apartment rented?
7 months
4.6 months
8 months
12 months
The length of a rectangle is 4 inches greater than its width. Its perimeter is 20 inches. Find the length and width.
6 inches, 4 inches
3 inches, 7 inches
5 inches, 5 inches
2 inches, 8 inches
It is branch of mathematics that deals with the relationship between the measurements of sides and angles.
Geometry
Trigonometry
Algebra
Calculus
What do we mean by the greek word "Metron"?
Measurement
Triangle
Meter
Angle
What do you call the side of a right triangle which is opposite to the right angle? It is also known as the longest side.
side
opposite
adjacent
hypotenuse
What operation would you use in this problem?
Her $1000 profit doubled in a month.
Addition
Subtraction
Multiplication
Division
In the quadratic equation x2+3x+5=0 what is the sum of the roots?
−3
0
1
5
In the quadratic equation x2+3x+5=0 what is the product of the roots?
−3
0
1
5
In the quadratic equation 2x2+x−11=0 what is the sum of the roots?
−21
−211
0
2
Simplify
-|4 - 7| + (-5)
8
-8
3
-3
Subtract: 58 − 32
14/15
6/2
3
10/3
The steepness of a line also commonly known as rise over run is called ______.
Linear Equation
Linear Inequality
Linear Fuction
Slope
Which of the following represents a ratio of two polynomials?
(x+1) + (x-3)
(x+1) - (x-3)
(x+1) (x-3)
What value of x will make the rational algebraic expression x−65x+3 undefined?
5−3 -6
−53
6
53
Simplify (4x3)0
4x3
4x30
1
2
Which of the following ordered pairs is a solution of the given system?
x + y = 6
4x - y = 14
(2,4)
(4,2)
(-2,4)
(-4,2)
Determine the slope of a line of the given equation
8x - 12y=6.
−32
−23
32
23
The area of a certain quadrilateral is expressed as x2+2x+1 sq. units. Find the dimensions if the factors are its side lengths.
(x-1) and (x+1)
(x-1) and (x-1)
(x+1) and (x+1)
(x+2) and (x+1)
Jay’s father is twice as old as Jay. In 20 years, Jay will be two-thirds as old as his father. How old is Jay now? (answer in digits only)
(a)
If the sum of two number is 7 and their product is 8, what is the sum of their cubes?
(a)
Solve:
(x-2) (x+7)
X2 +5X - 14
X2 - 5X - 14
X2 +9X +14
X2 - 9x -14
Use Guess and Check to answer the following question:
For a fund-raiser, Sandra raised three times as much money as Barbara, and Barbara raised $50.00 more than Matt. Together they raised $950.00. How much money did Barbara raise?
$150.00
$175.00
$200.00
$325.00
What is the graph of a linear equation of the form Ax + By = C?
half plane
parabola
straight line
hyperbola
What is the hypothesis of the statement, "If 3 or more points lie on the same line, then the points are collinear." ?
If 3 or more points lie on the same line.
Three or more points lie on the same line.
The points are collinear.
Then the points are collinear.
What do you call the part of a conditional statement that follows “then” when written in if-then form?
conclusion
converse
hypothesis
inverse
How many solutions does a consistent and independent system of linear equations have?
0
1
2
Infinite
What is the perpendicular slope of 2x + 5y = 6?
25
2
52
6
What is the equation of the line with a slope of -3/4 and y-intercept of -3?
3x + 4y = 12
3x – 4y = 12
3x – 4y = - 12
3x + 4y = -12
Evaluate f(x)=2x2−12x+23 if x=3 .
25
45
5
Find the surface area of a square base pyramid if the length of the square base is 14 cm and with the slant height of 17 cm.
472 cm^2
572 cm^2
672 cm^2
772 cm^2
A map has a scale of 1 cm to 3 km. If the road has a length of 3 cm on the map, calculate its actual length.
9 km
9 cm
18 km
18 cm
Solve the quadratic equation
2x^2 + 5x - 12 = 0
x = 1.5 and x = -4
x = 4 and
x = 1.5
x = -1.5 and
x = 4
x = 1.5 and x = 2
If (x+y)= 361 and xy = -120 , find the value of x^2 + y^2.
501
401
601
701
The sum of two numbers is 67 and their difference is 3. Find the two numbers.
32 and 35
33 and 36
37 and 30
22 and 27
Using elimination method, solve the simultaneous equations
13x - 6y = 20
7x + 4y = 18
x= 1
y=2
x = 2
y= 1
x = -1
y= -2
x = -2
y = -1
5 men can paint 2 identical houses in 3 days. Assuming that all men work at the same rate, how long will take 10 men to paint 8 such houses?
4 days
5 days
6 days
7 days
If 6 kg of biscuits cost $27, calculate the cost of 13 kg of biscuits.
$52.50
$58.50
$62.50
$68.50
The point of intersection of coordinate’s axes is called ______
x-axis
y-axis
coordinate axis
origin
The second number in the coordinates which is y is called_____
abscissa
ordinate
quadrants
origin
What makes this expression 9x2+30xy + _____ a perfect square trinomial?
5y
5y2
6y
6y2
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
median:7 mode:9 range:8
median:6 mode:3 range:7
median:7 mode:3 range:8
The sum of all probabilities equal to ?
4
1
3
2
The probability of drawing an ace card from a deck of cards is ?
1/52
1/26
4/13
1/13
A dice is thrown. The probability of getting 1 and 5 is ?
1/6
2/3
1/3
1/2
What is the probability of impossible events?
1
0
more than 1
less than 1
There are 4 green and 2 red balls in a basket. What is the probability of getting the red balls?
1/2
1/3
1/5
1/6
If two coins are tossed simultaneously, then what is the probability of getting exactly two tails?
1/4
1/2
1/3
None of the above
Which of the following cannot be the probability of an event?
1
0
0.75
1.3
If the probability of winning a game is 0.3, then probability of losing it is ?
0.6
0.7
0.5
none of these
The theoretical probability of rolling an even number on a dice.
3/6
1/2
1/6
5/6
What type of angles are these? (select 3)
Adjacent Angles
Linear Pair
Complementary Angles
Supplementary Angles
Vertical Angles
Supplementary angles always add up to
(a)
The distance around the outside of the circle
diameter
radius
circumference
area
The length of a rectangle is 5 inches more than its width. The perimeter of the rectangle is 26 in. What are the width and length of the rectangle?
6” by 9”
4” by 9”
4” by 5”
6” by 11”
Points that lie on the same line are ____________.
collinear
coplanar
non collinear
non coplanar
Statements that are accepted as true without proof.
Postulate
Theorem
Undefined Terms
Defined Terms
________ statements that should be proven true by citing definitions, postulates, and previously prove theorems.
Postulates
Theorems
Undefined Terms
Defined Terms
Using the undefined terms, other terms can be generated and define precisely. For example, line segments, ray, angles etc.
undefined terms
defined terms
axioms and postulates
theorems
Part of a line that has a fixed starting point but does not have an endpoint. It can extend infinitely in one direction, meaning that it can go on forever in one direction.
ray
line segment
plane
angle
A part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
ray
line segment
plane
angle
Can be defined as the figure formed by two rays meeting at a common end point.
ray
line segment
plane
angle
At least how many non-collinear points does a plane can contain?
1
2
3
4
What undefined term does a sheet of paper illustrates?
line
plane
point
ray
If AB = 10, BC = 9 and CA = 11, name the largest angle of triangle ABC.
HINT: Draw and Label a triangle!
∠A
∠B
∠C
Cannot Determine
If m∠D = 60°, m∠E = 70°, and m∠F = 50°, name the shortest side of ∆DEF.
HINT: Draw and Label a triangle!
DE
EF
DF
Cannot Determine
Which of the following could represent the lengths of the sides of a triangle?
1, 2, 3
6, 8, 15
5, 7, 9
10, 10, 20
Two sides of an isosceles triangle measure 3 & 7. Which could be the measure of the 3rd side?
9
7
3
1
If two sides of a triangle are 1 and 3, which of the following lengths could be the third side?
5
2
3
4
In ∆ABC, AB = 5 & BC = 3. Which inequality represents all possible values for the length AC?
3<AC<5
3<AC<7
2<AC<8
0<AC<15
Which set of lengths can NOT represent the lengths of the sides of a triangle?
4, 5, 6
5, 5, 11
7, 7, 12
8, 8, 8
In ∆RQP, QP = 15, PR = 25 and RQ = 13. Put the angles in order from small to large.
∠R, ∠Q, ∠P
∠P, ∠R, ∠Q
∠P, ∠Q, ∠R
∠Q, ∠R, ∠P
The Pythagorean Theorem ONLY works on which triangle?
obtuse
scalene
isosceles
right
What side(s) will always be the longest on a right triangle?
The Hypotenuse
Leg A
Leg B
The Right Angle
x4 (x12)
Solve for x.
8
9
13
16
What is the measure of ∠4 in the triangle shown?
51°
25°
155°
77°
A bisector cuts something
in half
in thirds
into 4 pieces
into 5 pieces
What is the measure of CD
8
4
12
16
Which of the following is a linear inequality in two variables?
4x − 5 > 9
x + 4y = 7
2x − 3y ≥ 10
6 + 7y < 11
It indicates that the points are part of the solutions of the inequality.
Dotted Line
Broken line
Dashed Line
Solid Line
How many solutions does a linear inequality in two variables have?
0
2
1
Infinite
Which of the following ordered pairs is a solution of the inequality 3x + 2y > 1?
( -1, -5 )
( -5, 4 )
( -6, 0 )
( 2, 4 )
Angela wants to spend less than Php 200 on condiments. Each kilogram of salt costs Php 30, and each kilogram of pepper costs Php 90. Write an inequality that represents the number of kilograms of salt (s) and pepper (p) Angela can buy on her budget.
30s + 90p > 200
30s + 90p ≥ 200
30s + 90p < 200
30s + 90p ≤ 200
Find the excluded value(s). 10x−1045
a = 0
a = 10
a = 1
a = -1
Find the excluded value(s). x2−10x+25x−5
v = 5
v = 10
v = -25
v = -5
Find the excluded value(s). (x2−16)x(x+4)
x = 4
x = -4, 4
x = -16, 16
x = 0, 4
What is an excluded value?
A value that makes the denominator equal to 0
A number that makes the numerator equal to 0
The solution
An ostracized number
Find the excluded value(s).
n = 0
n = 24
n = -24
n can be any real number
For which function would f(3) = 17
f(x) = 5x
f(x) = 2(x + 4) + 3
f(x) = x - 10
f(x) = 3x + 6
It is used to determine whether a graph represents a function.
Horizontal line test
Vertical line test
Domain line test
Range line test
-8 ≤ x < 8
-9 < x ≤ -4
f(x) = 2x2-2x + 1
What is the y-intercept of
f(x)=2x2 + 4x + 6
(6 , 0)
(-6 , 0)
(0, -6)
(0 , 6)
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
Identify the hypothesis in the statement: "If you are in love, then you are inspired.
If you are in love
then you are inspired
If you do your homework, then you will receive snacks.
What do you call the underlined portion in this conditional statement?
abstract
conclusion
generalization
hypothesis
What do you call the part of a conditional statement that follows “then” when written in if-then form?
conclusion
converse
hypothesis
inverse
Dylan made 15 out of 35 free throws.
What's his experimental probability as a simplified fraction?
3/7
15/35
1/2
5/7
The experimental probability that Jonah will catch a fly ball is equal to 7/8. About what percent of the time will Jonah catch a fly ball?
55%
66%
77%
88%
A card is selected at random from a pack of 16 cards which are numbered 1 to 16. What is the probability of the selected card having an even number?
1/16
9/16
1/2
1/8
A box contains 7 white balls, 3 black balls, and 8 red balls. What is the probability that a ball drawn at random is black?
1/9
1/3
1/18
1
A bag contains 7 white marbles, 8 black marbles, and 7 red marbles. If a marble is chosen at random from the bag, what is the probability that it is white?
1
1/7
7/22
7/7
Earl Darenz is asked to choose a day from a week. What is the probability of choosing a day which starts with S.
1/7
2/7
2/3
1/3
Of the 45 students in a class, 25 are boys. If a student is selected at a random for a field trip, what is the probability of selecting a girl?
3/8
4/5
2/7
4/9
Solve for x
x = 12
x = 4
x = 3.33
x = 10
Use the Exterior Angle Theorem to find the value of x.
117
94
149
31
Find the measure of ∠ T
71
98
109
82
Solve for x.
44o
-14o
-7o
63o
Identify the independent variable:
The amount of money, m, earned if t raffle tickets are sold
money, m
tickets, t
Which of the following expressions is NOT a representation of the difference of two squares?
a2 - 100
b2 - 36
c2 - 25
d2 - 50
What is the greatest common factor of 3xy - 6x2?
3x
3y2
6x
6x2
It is an expression in one variable that can be written in the form of undefined where P and Q are polynomials in one variable and undefined .
Rational Algebraic Expressions
Rational Algebraic Equations
Ratio Algebraic Expressions
None of the choices
If the sum of two numbers is 6 and
their difference is 4, what is the difference of their squares?
20
24
26
52
What causes a rational expression undefined?
If the numerator is zero
If the variable is zero
If the denominator is zero
None of the choices
AVERAGE :
3. Write the equation of the line whose slope is 5 and passing through(0, −9).
y = 9x − 5
y = 5x - 9
y = −9x + 5
y = -5x + 9
AVERAGE :
9. Rewrite the equation 3x + y = 8 in the form y = mx +b. .
y = 3x + 8
y = -3x + 8
y = 3x - 8
y = -3x - 8
3−13−2⋅33
What is the value of this expression?
9
3
18
37
Holly throws a 12-sided number solid with faces labeled 1 through 12. What is the probability that Holly will roll an even number greater than 2 but less than 12?
5/12
4/12
3/12
6/12
