Graphing
Proportions
Equations
put 2 together
Put it all together
100
Algebra: Graph each ordered pair:
1. (-3,3)
2. (3,0)
Algebra:
1.check students work
100
Margie mixes sugar with butter. The table shows the relationship between the butter in cups and the sugar in cups for her recipe.
Butter (cups) Sugar (cups)
1 1.5
6 y
7 10.5
What is the value of y?
y = 9
100
Algebra: Solve each equation for y:
1. 5x + 2y = 12
2. 3x + 4y = 10
Algebra:
1. y = 5/2x - 6
2. y = -3/4x + 5/2
100
Shane bikes 5 miles to the park in 30 min and 3 miles to the library in 45 min. What is her average speed?
6.4 mph
100
Write the fraction in lowest terms:
(36a3b2c)/ (24ab2c4)
(3a2) / (2c3)
200
Graph this line:
y= -2/3 x + 4
See graphs
200
(12.1 + a)/4.9 =7.071
Round to the nearest 100th.
a = 22.5479
a = 22.55
200
x + 3 - 3 = -6
x = -6
200
On a map of North Carolina, the distance between Charlotte and Wilmington is 14.75 in. If 2 in equals 24 miles, what is the approximate distance between the two cities?
177 mi
200
Given that the V = 240 m^3 and the h = 3 meters, find the diameter of the cylinder, rounded
to the nearest tenth. 
240 = 3.14(3)(r^2)
25.47 = r^2
5 = r so, D = 10
200
Algebra: Find the slope of the line passing through each pair of points.
(2,5) and (3,6)
Algebra:
6
200
(x-3)/8 = 3/6
X = 7
200
7n + 2 = 4n + 17
n = 5
200
Determine the volume of this composite figure
Bottom rectangle = 4*2*3 = 24
Top rectangle = 4*2*3 = 24/2 (triangle is half a rectangle. 24 + 12 = 36
200
Use the Pythagorean Theorem to determine the missing side of this right triangle:
(√32)/3
400
Graph this line:
-2x + y = -3
See graphs
400
4/(x-8) = 8/2
x = 9
400
11 - 2(8 + 3p) = 7^2
p = 18
400
Determine the value of X:
26 In.
400
The delivery truck drove 6 miles from store A to store B. Then the truck drove 14 miles from store B to the warehouse.
If store A is directly south of store B and directly east of the warehouse, how far is store A from the warehouse?
Round to the nearest hundredth.
6^2 + b^2 = 14^2
= 4√10 = 12.649 = 12.65
500
Graph a line parallel to this line:
3x + 4y = 12
See graphs
4y = -3x + 12
y = -3/4x + 3
500
6/3= (x-10)/9
x = 28
500
Where does the graph of y=-3x-18 intersect the x-axis?
(-6,0)
500
Given the function f(x) = (3x + 9) (x - 1), what are the roots of f(x)?
x = 1 and x = -3
500
x(2xy - 4y) + y(5y - x^2)
x^2y - 4xy + 5y^2
600
Graph a line perpendicular to this line:
2x + 4y = 12
See graphs
y = -1/2x + 3
so perpendicular is y = 2x + 3
600
(p + 10)/(p - 7) = 8/9
p = -146
600
Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and the number of adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80?
x = 16
600
An isosceles triangle has a perimeter of 32 inches and a base 12 inches long. Determine the height and the area of the triangle.
Height = A + B + 12 = 32, so A & B = 10 each (slant height)
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
Height = 8
Area = 1/2 *12 * 8 = 48
600
Candace is in charge of the lunches at the elementary school. Each day she feeds 352 students and 50 faculty members. The cost of a faculty member’s lunch is twice the amount of a student’s lunch. The total amount of money brought in from lunches is $791.
What is the cost of a faculty member lunch, rounded to the nearest cent?
352s + 50(2)s = 791
S = 1.75 so F = 2(1.75), so faculty lunch is $3.50