WorksheetsMOCK UP BRAINQUEST 2
Total questions: 140
Worksheet time: 2hrs 20mins
Factor completely. −2y−8+6u
2(y −2 + 3u)
2(y − 4 + 3u)
2(y − 4 + 3u)
−2(y + 4 −3u)
(10, 1) and (5, 2)
(10, 1) and (5, 2)
You, as a student, are asked to study the profit of three establishments in Manila City based on the graph. If the trend continues which food establishment will be earning most?
Cindy's Milky Tea
Farrah's Coffee Shop
Hannah's Bakeshop
You, as a student, are asked to study the profit of three establishments in Manila City based on the graph. If the trend continues which food establishment will be earning least?
Cindy's Milky Tea
Farrah's Coffee Shop
Hannah's Bakeshop
1. It is defined as the steepness of the line.
axis
intercept
point
slope
2. If the line has a positive slope, then ___________.
It is a horizontal line.
It is a vertical line.
It leans on the left.
It leans on the right.
4. What can you say about the slope of a vertical line?
negative
positive
undefined
zero
5. What can you say about the line whose slope is negative?
It is a horizontal line.
It is a vertical line.
It leans on the left.
It leans on the right.
What is the x-intercept of
4x−y=−2 ?
-2
−21
21
2
Which of the following is the graph of the linear equation in which the x-intercept is 2 and whose y-intercept is -1?
A sea horse moves around the ocean at just 15 meters per hour. Which equation represents how far it travel in x hours?
y=15x
y=x+15
y=x−15
5x - 3y = 15
y intercept is 5
y intercept is 5
y intercept is -3
y intercept is -5
4x - 5y = 40
y intercept is 8
y intercept is 20
y intercept is 10
y intercept is -8
y=mx+b ---> Ax+By=C
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
(4, -7); m = -1/4
(4, -7); m = -1/4
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)
What is the equation of the line in point slope form given a slope of -12 and a point of (-4, -5)?
y - 5 = -12(x - 4)
y + 4 = -12(x + 5)
y + 5 = -12(x + 4)
y - 12 = -4(x + 5)
3x + 8y = 24
2x + y = 6
(-3, -4) and (7, 6)
(2, 4) and (6, 12)
(8,5) and (-9, 5)
( 2, 0 ) and ( 4, 4 )
In the equation 𝐴𝑥 + 𝐵𝑦 = 𝐶 where A and B are not equal to zero is a linear equation in what form?
point- slope form
slope-intercept form
standard form
two-point form
Given two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2) where 𝑥1 ≠ 𝑥2, which of the following shall be used to determine the equation of the line?
𝑦 = 𝑚𝑥 + 𝑏
𝑦 - 𝑦1 = 𝑚(𝑥 - 𝑥1)
ax+by = 1
𝑦 - 𝑦1 =
x2−x1y2−y1 (𝑥 - 𝑥1 )
What is the slope of the line 𝑥 + 𝑦 = 3?
-3
-1
1
3
What is the 𝑦 - 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 of the line 2𝑥 + 3𝑦 = -15?
-5
-2
-2/3
3
Which of the following pair of points have a slope of -2?
(2, 4) 𝑎𝑛𝑑 (5, -2)
(4, 2) 𝑎𝑛𝑑 (-2, 5)
(2 ,5) 𝑎𝑛𝑑 (4, -2)
(-2, 2) 𝑎𝑛𝑑 (4, 5)
The line 𝑦 - 8 = 34(𝑥 - 4) passes through which point?
(-4 , - 8)
(-4, 2 )
(4, 8)
(3, 4)
Which of the following equations is represented by the given graph?
𝑦 = 2𝑥 + 3
𝑦 = 2𝑥 - 3
𝑦 = 3𝑥 + 2
𝑦 = 3𝑥 - 2
What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦 = 2𝑥 - 4?
𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2
𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4
𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2
𝑚 = 2 𝑎𝑛𝑑 𝑏 = 4
What is the slope of a line if it contains the points (-2, 3) 𝑎𝑛𝑑 (2, -3)?
-3/2
-2/3
2/3
3/2
What is the equation of a line that passes through the points (1, 3) 𝑎𝑛𝑑 (-2, 5)?
2𝑥 + 3𝑦 = 11
2𝑥 - 3𝑦 = 11
-2𝑥 + 3𝑦 = 11
3𝑥 + 2𝑦 = 11
Jojo was able to collect 5 kg of aluminum cans of soft drinks and sold them to the junkshop and received P175. On the next day, he sold again another 3kg of recycled cans and earned P105. He wanted to know how much would he earn from the recycled materials if he can collect 22 kg. What equation would he have used to determine his earning?
𝑦 = 35𝑥 + 5
𝑦 = 5𝑥
𝑦 = 35𝑥
𝑦 = 5𝑥 + 35
What is the slope of the line 𝑥+𝑦=3?
-3
-1
1
3
Which graph below shows a positive slope?
Which graph below shows a negative slope?
Which of these lines has a slope of -3?
A
B
C
D
What is the formula to find slope?
x2 −x1y2−y1
y2 −y1x2−x1
x1 −x2y2 − y1
x2 −x1y1−y2
Which system of equations has a graph that shows intersecting lines with (3, −1) as a solution?
a.
b.
c.
d.
Which of the following is a solution to the the system 3x+2y=7 and x-5y=8?
(1, 3)
(3, 1)
(-1, 3)
(3, -1)
What is the solution or solution set of the system of linear equations given by 2𝑥 – 6𝑦 = 4 and 𝑥 = 3𝑦 + 4 when solved using substitution?
(1, 0)
(2, 0)
no solution
infinitely many solutions
Which of the following ordered pairs does not satisfy both 2𝑥 – 4𝑦 – 8 = 0 and 𝑥 = 2𝑦 + 4 if substitution is applied?
(0, -2)
(4, 0)
(-2, 3)
(2, -1)
What expressions should be multiplied to the system of linear equations 2𝑥 + 4𝑦 = 8 and 𝑥 – 𝑦 = 4 to eliminate first a variable y?
2
4
6
8
Elena went to a fast food restaurant. Four cheeseburgers and 2 large cokes cost a total of Php 118.00. Two large cokes cost Php 3.00 more than one cheeseburger. Let it be x for the cost of cheeseburger and y for the cost of a large coke. What mathematical equations can we get from the statement?
a.
b.
c.
d.
Elena went to a fast food restaurant. Four cheeseburgers and 2 large cokes cost a total of Php 118.00. Two large cokes cost Php 3.00 more than one cheeseburger. Let it be x for the cost of cheeseburger and y for the cost of a large coke. What is the cost of a cheeseburger?
Php 13.00
Php 23.00
Php 33.00
Php 43.00
Elena went to a fast food restaurant. Four cheeseburgers and 2 large cokes cost a total of Php 118.00. Two large cokes cost Php 3.00 more than one cheeseburger. Let it be x for the cost of cheeseburger and y for the cost of a large coke. What is the cost of a large coke?
Php 13.00
Php 23.00
Php 33.00
Php 43.00
Mang Allan gave money to his daughters Lalai (x) and Bebe (y) for their school’s allowance. Both of his daughters received a total of 10 pieces of P10 coins. Bebe who needs more money for her project had received 2 pieces more than that of her sister Lalai. How many pieces of P10 coins did Lalai receive?
2
4
6
8
Mang Allan gave money to his daughters Lalai (x) and Bebe (y) for their school’s allowance. Both of his daughters received a total of 10 pieces of P10 coins. Bebe who needs more money for her project had received 2 pieces more than that of her sister Lalai. How many pieces of P10 coins did Bebe receive?
2
4
6
8
Mang Allan gave money to his daughters Lalai (x) and Bebe (y) for their school’s allowance. Both of his daughters received a total of 10 pieces of P10 coins. Bebe who needs more money for her project had received 2 pieces more than that of her sister Lalai. Which of these graphs shows the relationships of their allowances?
5x + y = 21
y = 4x + 1
2x -3y ≥ 12
Ten less than four time a certain number is 14. What is the number?
3
4
5
6
7 added to x to give a result of 19. What is x?
12
13
14
15
three more than two times a number is 13. What is the number?
4
5
6
7
Sasha is 4 years older than her brother. Their total age is 20. Which equation shows this relationship?
4x = 20
2x+4 =20
20−x=4
7 more than y is equal 10
y+7 = 10
y−7=10
7−y=10
10+y =7
5 times x is equal 30, which equation matches this relationship?
5+x=30
x−30=5
6x=30
5x=30
x increased by 4 is equal to 9, choose the correct equation for this statement?
x−9=4
4x=9
x+4 =9
x−4=9
The price of a calculator £x is reduced by £3, the new price is £9. Which equation matches this relationship?
9÷x =3
9−x =3
9x =3
x−3 =9
Two times my age (x) plus 1 is 21, which equation represents this relationship
2x = 21
2 +x =21 +1
2x −1 =20
2x+1=21
Steve little brother is 12 years old, which is half of Steve's age. If Steve is x years old which equation describes this relationship.?
2x = 12
2x=12
x−12 =2
x2=12
Sophie is 10 years younger than her sister (x years old), if Sophie is 14 which equation describes the girls age relationship?
x−10 =14
10x =14
10+x=14
14−x=10
The science museum is x miles from school, the history museum is 3 times further than the science museum, if the history museum is 90 miles away what is the equation for this relationship?
90−3=3x
3x=90
x+3 =90
90 −x = 3
Macy is triple Max's age (x) plus 3, if Macy is 39 what equation describes their relationship?
x39=3
x+3 =13
3x+3 =39
3x−3 =30
It is the set of all first elements in an ordered pair.
Relation
Domain
Range
What is the domain in the relation
A = {(-2, 3), (2, 4), (-2, 5), (2, 6)}?
{-2, 2, 3, 4, 5, 6}
{3, 4, 5, 6}
{-2, 2}
The given graph above is a ___________.
Linear Function
Not Linear Function
What is the range in the given graph above?
{y/y ∈ R}
{y/y ≥ 0}
{y/y ≤ 0}
The given table above is a ____________.
Linear Function
Not Linear Function
What is the domain in an equation
x = 2y + 4 ?{x/x ∈ R}
{x/x ≥ 0
{x/x ≥ -2}
What is the range in the given table above?
{5,4,3,2}
{-2,0,2,4}
{-2,0,2,3,4,5}
What is the range in the given graph above?
{y/y ∈ R}
{y/y ≥ 2}
{y/y ≤ 2}
The graph above is a ___________.
Linear Function
Not Linear Function
What is the range in the given mapping above?
{-2, -1, 0, 2}
{H, O, P, E}
{-2, -1, 0, 2, H, O, P, E}
A set of ordered pairs is called what?
the domain
a function
a relation
the range
Which relation does the mapping show?
{(0, 1), (1, 2),(3, 4)}
{(0, 1), (1, 2), (2, 2), (3, 4)}
{(1, 0), (2, 1), (2, 2), (4, 3)}
{(1, 0), (2, 1), (4, 3)}
Is the relation shown a function?
No, because the x-value 11 is paired with 5 and 8.
Yes, because each x-value has only one y-value paired with it.
Does the graph represent a function?
Yes
No
Which mapping diagram is not a function?
Identify all of the functions
What is the domain of a relation?
the set of all x-values
the set of all y-values
What is the domain of the relation shown in the table?
{12}
{3, 9, 15, 16}
{6, 18}
{13}
What is the domain?
{-2, -1, 0, 1, 8}
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
{3, 5, 7 , 9, 0}
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
What is the domain of the graph?
[-3, 3]
(-3, 3)
(3, -3]
(2, 10]
What is the DOMAIN of this graph?
{x∣x e R,−4≤x≤3}
{x∣x e R, 4<x<3}
{x∣x e R, −1≤x≤4}
{x∣x e R, −1<x<4}
What is the range of the graph?
{x : x e R, −15 ≤x≤9}
{x : x e R, −3 ≤x≤3}
{y : y e R, −15 ≤y≤9}
{y : y e R, −3 ≤y≤3}
What is the domain of the graph?
{x : x =all real numbers}
{x : x e R, ∞ ≤x≤∞}
{y : y e R, −15 ≤y≤9}
{y : y e R, −3 ≤y≤3}
What is the domain of the function?
{x| x = all real numbers}
{x| -2 ≤ x ≤ 4}
{x| -2 < x < 4}
{x| -6 ≤ x ≤ 3}
What is the Domain?
All real numbers
x = 4
x > 3
x ≥ 3
Find the Domain.
(−∞,∞)
(0,∞)
(3,+∞)
[0,+∞)
Which is the set of all y-values or the outputs?
Domain
Relation
Range
Function
What is the range of the mapping?
{1, 2, 4}
{0, 3}
{0, 1, 2, 3}
{1, 4}
What is the range of the table?
{-4, 0, 1, 3}
{-4, -2, 0, 1, 2, 3}
{-2, 0, 2, 3}
{ (0, 0), (2, -4), (3, 3), (-2, 1) }
What is the range of the graph?
-2 < y < 10
-2 ≤ y ≤ 10
-3 < x < 3
-3≤ x ≤ 3
What is the Range?
All real numbers
y > 3
y ≥ 3
3 ≤ y ≤ 8
What is the range of the function?
{y: −1≤y<+∞}
{y : 1.5≤y<+∞}
{y:−1<y<1}
{y:−1≤y≤1.5}
Find the domain
(-4,5)
(-4,-1) u [-2,3) u [3,5]
[-4,5)
(-4,-1] u [-2,3) u [3,5)
Find the Domain and Range
D = (-5,3)
R = (-3,5)
D = [-5,3]
R = (-3,5)
D = (-5,3)
R = [-3,5]
D = [-3,5]
R = (-5,3)
Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12
4, 12, 20
-4, 0, 28
-20, 0, 28
8, 12, 40
Graph x = 2
A
B
C
D
