Math
Systems
Mostly Algebra
Shapes & Things
Grab Bag
100
Is 2d + 5 an expression or an equation?
expression
100
PA: Convert 120 ft = _________yd
Alg: Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
40 yd
(6,9)
100
What are the "like" terms in the expression 6h + 5y - 2y +8
5y and -2y
100
What is the slope of the graph of: y=12x−19?
12
100
Jack has five pumpkins. How many pumpkins does Jack have?
5 lol
150
Is 5c - 2c = 3c and expression or equation?
Equation
150
How many solutions does the graph have?
1 soln
150
How many solutions does the graph have?
Infinite solutions
150
this shape has four congruent sides and four right angles
square
150
the longest line through a circle is called ___________
diameter
200
Which number is the coefficient in the equation 3x + 6 = 18
3
200
PA: Convert 3/4 mi. = _________ ft
Alg: How many solutions does the graph have?
PA: 3,960 ft
Alg: No solution
200
simplify:
3mp - 4x + 7mp + x
10mp -3x
200
this shape has four congruent sides
rhombus
200
what is the slope of a vertical line?
DOES NOT EXIST
250
A graph in which 2 sets of data are plotted as ordered pairs in a coordinate plane are called a __________.
scatter plot
250
Alg: Solve the following systems of equations using substitution:
5x - 2y = 3
y = 2x
$8 per pound
(3, 6)
250
Evaluate
x^3 – xy – x/y if x = 2 and y = 0.5
3
250
Solve for k:
4(−2k−8)=6(k+18)
k = -10
250
Pythagoras, for whom the Pythagorean theorem is named, comes from this country
Greece
300
1. write an equation
Twice a number is 18 more than 5 times a number.
2. solve for x
2x = 18 + 5x
300
PA: Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Alg: Solve the following systems of equations using substitution:
y = 3 - x
3y + x = 5
$1.25 per pound
(2,1)
300
(x+5)/4=7
Solve for x
x = 23
300
18 - 4k = -10 - 4k
No solution, null set
300
the famous Bridges of Konigsberg math problem explores how many bridges in the city of Konigsberg can be passed over without retracing your steps. Where is the city of Konigsberg located?
Prussia (modern-day Russia)
350
3y - 9 if y = 3
0
350
PA: There are 4 milk chocolates to every 2 dark in a box of chocolates. There are 34 dark chocolates in the box. How many milk chocolates are in the box?
Alg:
68
(-34, -17)
350
15f−23=2(4f+20)
f = 9
350
this shape has one pair of parallel lines
trapezoid
350
Volume of a cone
(pir^2h)/3
400
The slope- intercept form of a linear equation is ___________
y=mx+b
400
PA: find x
Alg:
15
Infinite solutions
400
Algebra:
1. Add the polynomials: 2a +3b + 5a -7b
2. Subtract the polynomials: (9x2-4x+11) - (3x2-2x+2)
Pre-Algebra:
1. How many inches are 3/8 of a foot?
2. How long would it take a car traveling 60 miles per hour to go 270 miles?
Algebra:
1. 7a - 4b
2. 6x2-2x+9
Pre-Algebra:
1. 4.5 in
2. 4 1/2 hrs
400
find the hypotenuse of a right triangle with sides a=6 and b=8
c=10
400
how do you write 2024 in Roman Numerals?
MMXXIV
450
Algebra: Find the x-intercept and y-intercept of the following equations:
1. 2x - 3y = 5
2. 6x + 2y = 8
Algebra:
1. m=2/3, b=-5/3
2. m=-3, b=4
Pre-Algebra:
1. 3/7
2. 29 bricks
450
Alg: Solve:
y=8x+1
y=6x+3
12
(1, 9)
450
simplify:
3xy^2 + 12yz -5xy^2-20yz
-2xy^2-8yz
450
find the missing side of a right triangle with hypotenuse c=18 and b=15
a=8
450
True or False:
2pir = pid
true
500
Algebra: Find the slope of the line passing through each pair of points.
1. (2,5) and (3,6)
2. (6,-4) and (-3,7)
Algebra:
1. 6
2. 3
500
Alg: What is the solution to this system?
2x + 3y = 4
y= 5x - 27
4
(5,-2)
500
as I was going to St. Ive's, I met a man with seven wives. Each wife had seven cats; each cat had seven kits. Man, wives, cats, kits - how many were going to St. Ive's?
1
500
find the hypotenuse of a right triangle with side a=7 and b=24
c = 25
500
what year was the Battle of Waterloo?
who fought in the Battle of Waterloo?
1815
French vs British & Prussians, Napoleon vs Wellington and von Blucher