Graphing Shapes and Distance of Points on Coordinate Planes
Equivalent Expressions
Dividing Fractions
100
What is this expression in exponential form?
8 x 8 x 8 x 8 x 8 x 8 x 8 x 8
8^8
100
Write an expression that matches the following: "twenty-one more than the quotient of a number and seventeen"
n ÷ 17 + 21
100
Plot four unique points on the coordinate grid that are each 5 units from the point (1, 2). Each point must contain coordinates with integer values.
100
Which expression is equivalent to 3(6m) + m?
19m
100
1/2 ÷ 1/4. Don't forget to reduce/simplify!!!
1/2 ÷ 1/4 = 1/2 x 4/1 = 4/2 = 2
200
The students at Riverside School collected 100,000 pennies to buy new library books. Which of the following is equivalent to 100,000?
10^5
200
What is the value of 7t-3 when t = 6?
7(6)-3=
42-3
=41
200
The map of a town is placed on a coordinate grid with each whole number distance north (N), south (S), east (E), or west (W) representing 1 block.
A grocery store has the coordinates (−2, −4). The owners of the grocery store plan to build an additional grocery store at a location that is 5 BLOCKS TO THE EAST and 3 BLOCKS TO THE NORTH of the original store. Plot the location of the additional grocery store on the coordinate grid.
200
Which pair of expressions is equivalent?
A. 4(6x) and 10x
B. 4(6x) and 24x
C. 4x + 6x and 10x2
D. 4x + 6x and 24x
B. 4(6x) and 24x
200
Joanne buys a rug with an area of 35/4 square meters. The length of the rug is 7/2 meters.
What is the width, in meters, of the rug?
35/4 ÷ 7/2 = 35/4 x 2/7 = 70/28 = 5/2
300
What does 2^4 equal?
2 x 2 x 2 x 2 = 16
300
Jessie and Oscar baked some brownies for a fundraiser. Jessie baked x brownies and Oscar baked 4 more brownies than Jessie. What is the expression that represents the total number of brownies baked by BOTH Jessie and Oscar?
x + x + 4
300
Jamal wants to draw a right triangle and label it JKL. He has already plotted points J and L.
The location of point K is:
• 10 units away from point J
• 12 units away from point L
What are the coordinates of point K?
(6, 10)
300
Two expressions are shown below.
P: 2(3x − 9)
Q: 6x − 9
(a) Apply the distributive property to write an expression that is equivalent to expression P.
(b) Explain whether or not expressions P and Q are equivalent for any value of x.
(a) 6x - 18
(b) No they are not.
300
How many 1/6's are in 1/3?
1/3 ÷ 1/6 = 1/3 x 6/1 = 6/3 = 2.
400
Which of the following is the same as 10^3 × 10^2?
10^5 because 10^3 = 10 x 10 x 10 and 10^2 = 10 x 10
400
At a grocery store, one pound of grapes costs $2.25. If p represents the number of pounds of grapes you buy, what expression will represent the cost of buying p pounds of grapes?
2.25 × p
400
Victor drew trapezoid PQRS on a coordinate plane. The coordinates of each vertex are listed below.
P (8, 4)
Q (10, 4)
R (13, −1)
S (8, −1)
What is the length, in units, of side PS?
5
400
Are 32 + 16y and 8(4+2y) equivalent expressions? How do you know?
Yes.
500
Evaluate:
6^3 + 7 × 4
244
500
What is the value of 2x^3 + 4x^2 - 3x^2- 6x when x = 3?
The coordinates of point A are (−6, 4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B? How do you know?
A. |−6| + |3|
B. |3| − |−6|
C. |−6| + |−4|
D. |4| − |−6|
A. |−6| + |3|
500
Sarah used the associative property to find an expression equivalent to 5 × (a × 7). Which expression did Sarah use?
A. (5 × a) + (5 × 7)
B. (5 + a) × (5 + 7)
C. (5 × a) × 7
D. 5 × (7 × a)
C. (5 × a) × 7
500
You are stuck in a big traffic jam on the freeway and you are wondering how long it will take to get to the next exit, which is 1 and 1/2 miles away. You are timing your progress and find that you can travel 2/3 of a mile in one hour. If you continue to make progress at this rate, how long will it be until you reach the exit? Solve the problem with a diagram and explain your answer.