Mental Math
h = 6
9h - 22
32
Solve: (7/9)b + 3 = 66
Process: b = 81
Plot the following point on a coordinate plane:
(3, -5)
Graph
One morning, a teacher corrected some math tests. In the afternoon, the teacher corrected 17 more math tests. At that point, there were 43 math tests corrected. How many math tests did the teacher correct in the morning?
m + 17 = 43
The teacher corrected 26 math tests in the morning.
Simplify: 8(a + b) - 2(3a + 2b)
2a +4b
m = 1/2
(1/2)m - 1/4
0
Determine if the following expressions are equivalent or not:
7 + k + 2 + 3k and 3k + 5 + 4 + 2k
Process. They are not equivalent.
Plot the following points, draw a line segment, and find the distance between them:
J(-3, 4) and K(-3, -2)
Graph, 6
Canvas comes on bolts of 39 yards. Let x be the number of bolts and y be the total number of yards.
Write an equation that relates x and y. Make a table, and represent the relationship on a graph.
Graph
Susma is graphing right triangle DEF in a coordinate plane. Two of the vertices of the triangle are D(4, -1) and E(4, -3). The x-coordinate of point F is -2. What are the possible y-coordinates of point F?
(-2, -1)
(-2, -3)
Solve: p + 3.2 = 9
p = 5.8
Use the distributive property to rewrite the expression as a difference.
15(3 - p)
Process: 45 - 15p
Draw rectangle FGHI with the following coordinates:
F(-3, -4), G(-3, 2), H(2, 2), I(2, -4)
Model
In a set of pattern blocks, the trapezoid has bases of 5 cm and 2 & 1/2 cm, and a height of 4 cm. Joining two of these trapezoids creates a hexagon. What is the area of this hexagon?
The area is 30 cm2.
Find the vertices of a rectangle located by following the clues.
a. The area of the rectangle is 48 units2.
b. Half of the area is below the x-axis.
c. Two-thirds of the area is to the right of the y-axis.
d. The coordinates for one point are (4, 4).
e. All lines are either horizontal or vertical.
(4, -4), (-2, -4), and (-2, 4)
Solve: 3n = 8.4
n = 2.8
Without graphing:
What is the distance between these two points?
(-1,3) and (-8,3)
Process, 7
Graph the equation:
y = 2x
Model
Mr. and Mrs. Fujimoto drove from New York City to Toronto, which is about 348 miles. The distance that Mrs. Fujimoto drove on this trip was about 1/3 as far as Mr. Fujimoto drove on this trip. About how many miles did Mr. Fujimoto drive?
f + (1/3)f = 348
Mr. Fujimoto drove about 261 miles.
The internet service at the airport costs $11 to sign on, and an additional $2.50 per half hour. Let h represent the amount of time Frances used the internet and t represent the total cost in dollars. Write an equation that represents this scenario. Create a table that show 0 to 3.5 hours, including half hours, of internet usage at the airport, and a graph that shows the relationship between these variables.
Best work
Solve: (3/4)r = 75
r = 100
Without graphing:
What is the distance between these two points in cm?
K(99, -45 & 5/8) and L(99, -15 & 1/8)
30 & 1/2 cm, Process
Graph the equation:
y = 2.5x + 4
Best Model
A park has a triangular garden with a long southern edge and a northern vertex. The area of this garden is 140 ft2. If the distance from the vertex V to the southern edge is 8 ft, what is the length of this edge?
The length of the edge is 35 ft.
Ani has a coin collection. In her collection, she has 8 more dimes than nickels. The value of all the dimes and nickels is $2.00. How many nickels does Ani have in her collection?
0.05n + 0.10(n + 8) = 2.00
Ani has 8 nickels.