January Regional
Algebra 1 Team: Question 1
Let a =
Let b =
Let c =
Let d =
Find d – c + b – a.
January Regional
Let a =
Let b =
Let c =
Let d =
Find d – c + b – a.
Algebra 1 Team: Question 1
January Regional
Algebra 1 Team: Question 2
Let A = the slope of 3x – 4y = 7
Let B = the abscissa of the x-intercept of 2x + 8y = 6
Let C = the y-intercept of 5x – 7y + 3 = 0
Let D = the slope of a line perpendicular to x + 6y = 12
Find 4A + B + 7C + D.
January Regional
Let A = the slope of 3x – 4y = 7
Let B = the abscissa of the x-intercept of 2x + 8y = 6
Let C = the y-intercept of 5x – 7y + 3 = 0
Let D = the slope of a line perpendicular to x + 6y = 12
Find 4A + B + 7C + D.
Algebra 1 Team: Question 2
January Regional
Algebra 1 Team: Question 3
Find the greatest y-coordinate of all the solutions of the systems:
a.
b.
c.
d.
January Regional
Algebra 1 Team: Question 3
Find the greatest y-coordinate of all the solutions of the systems:
a.
b.
c.
d.
January Regional
Algebra 1 Team: Question 4
A rectangle has perimeter 20 feet. The length is twice the width. Find the exact area of the rectangle.
January Regional
Algebra 1 Team: Question 4
A rectangle has perimeter 20 feet. The length is twice the width. Find the exact area of the rectangle.
January Regional
Algebra 1 Team: Question 5
Find the sum of the degrees of each polynomial:
i.
ii.
iii.
iv.
January Regional
Algebra 1 Team: Question 5
Find the sum of the degrees of each polynomial:
i.
ii.
iii.
iv.
January Regional
Algebra 1 Team: Question 6
Three loaves of bread and two jars of peanut butter cost $12.90. Four loaves of bread and three
jars of peanut butter cost $17.90. Find the total price of a loaf of bread and a jar of peanut
butter.
January Regional
Algebra 1 Team: Question 6
Three loaves of bread and two jars of peanut butter cost $12.90. Four loaves of bread and three
jars of peanut butter cost $17.90. Find the total price of a loaf of bread and a jar of peanut
butter.
January Regional
Algebra 1 Team: Question 7
(2, -3) is the solution to each system. Find 4a – 2b + c + 3d.
i.
ii.
iii.
iv.
January Regional
Algebra 1 Team: Question 7
(2, -3) is the solution to each system. Find 4a – 2b + c + 3d.
i.
ii.
iii.
iv.
January Regional
Algebra 1 Team: Question 8
If f is a linear function with f(0) = 10 and f(10) = 14, find f(5) + f(15) + f(25).
January Regional
Algebra 1 Team: Question 8
If f is a linear function with f(0) = 10 and f(10) = 14, find f(5) + f(15) + f(25).
January Regional
Algebra 1 Team: Question 9
Find the sum of all solutions of the equations:
a)
b)
January Regional
c)
Algebra 1 Team: Question 9
Find the sum of all solutions of the equations:
a)
b)
c)
January Regional
Find yz
if
if
Algebra 1 Team: Question 10
,
, and
and
and
.
January Regional
Find yz
if
if
Algebra 1 Team: Question 10
,
, and
and
and
.
January Regional
Algebra 1 Team: Question 11
Find the abscissa of the intersection of the following two lines:
Line 1 contains (-6, 1) and (2, 3) and Line 2 has x-intercept -2 and is parallel to 3x – 5y =1.
January Regional
Algebra 1 Team: Question 11
Find the abscissa of the intersection of the following two lines:
Line 1 contains (-6, 1) and (2, 3) and Line 2 has x-intercept -2 and is parallel to 3x – 5y =1.
January Regional
Algebra 1 Team: Question 12
Sue is two-thirds as old as Aiden. In 7 years, Sue will be three-fourths as old as Aiden. What is
the product of their ages now?
January Regional
Algebra 1 Team: Question 12
Sue is two-thirds as old as Aiden. In 7 years, Sue will be three-fourths as old as Aiden. What is
the product of their ages now?
January Regional
Find w if
i.
ii.
iii.
Algebra 1 Team: Question 13
,
, and
January Regional
Find w if
i.
ii.
iii.
Algebra 1 Team: Question 13
,
, and
January Regional
Algebra 1 Team: Question 14
The legs of an isosceles trapezoid are one more than twice the length of the shorter base and the
longer base is three less than five times the shorter base. If the perimeter is three more than four
times the length of one of the legs, find the length of the longer base.
January Regional
Algebra 1 Team: Question 14
The legs of an isosceles trapezoid are one more than twice the length of the shorter base and the
longer base is three less than five times the shorter base. If the perimeter is three more than four
times the length of one of the legs, find the length of the longer base.
January Regional
Algebra 1 Team: Question 15
Evaluate for x = 4 and y = -2:
January Regional
Evaluate for x = 4 and y = -2:
Algebra 1 Team: Question 15