Grade 7 Algebra page 1
Name ______Date ______
Mathematics Grade 7
Classroom Assessment Based on Standards (MMP 07/06)
MPS Learning Target – Algebraic Relationships- Describe functional relationships in words, tables, graphs, and symbolic rules, extend and justify sequences, and describe graphs of real-world situations.
- Describe functional relationships in words, tables, graphs, and symbolic rules, extend and justify sequences, and describe graphs of real-world situations.
1a.) Circle all the equivalent rules and extend the table below.
x / y0 / -5
1 / -3
2 / -1
3 / 1
1b.) Is this a linear relationship? Why or why not?______
______
2.) A pattern of dots is shown below. At each step, more dots are added to the pattern. The
number of dots added at each step is more than the number added in the previous step. The
pattern continues infinitely.
(1st step) (2nd step) (3rd step)
Marcy has to determine the number of dots in the 20th step, but she does not want to draw all
20 pictures and then count the dots. Explain or show how she could do this and give the
answer that Marcy should get for the number of dots. ______
______
3a.) A bank offers 6.25% interest, compounded annually, on certain savings accounts.
You put $250 into such an account and do not add or withdraw any money.
3b.) Make a table that represents the total amount of money in your account after each year.
Year Amount of
Money
03c.) Write an equation to help you find the total amount of money in your account for any
number of years. Explain any variables you used in your equation.
3d.) Draw and label a graph that represents the data from your table. Give your graph a title.
3e.) In how many years will your money have doubled? ______
4a.) Two large storage tanks, T and W, contain water. T starts losing water at the same time
additional water is flowing into W. The graph below shows the amount of water in each
tank over a period of time. Title your graph.
4b.) Write an expression for the amount of water in Tank T after n hours.
4c.) Assume that the rates of water loss and water gain continue as shown. At what number of
hours will the amount of water in T be equal to the amount of water in W?
Show or explain how you found your answer.
______
______
______
5.) Graph the solution to: 3x + 2 < 5
6a.) You rode 15 miles in the first hour and then got tired and rode 9 mph for the rest of your
ride.
Make a table to show the relationship between time and distance.
Time (hr) / Distance (m)1
6b.) Write an equation to represent the relationship between time and distance.
6c.) Create a graph to represent the data from the table.
6d.) If you continued to ride at 9 mph, how long would it take you to ride 39 miles?
Show your work.
______
______
7.) Complete the table for the functions represented by each rule.
A. y = 5x B. y = x – 5 C. y = 3x + 3 D. y = 5x - 2
x / y0
1
2
3
x / y
0
1
2
3
x / y
0
1
2
3
x / y
0
1
2
3
8.) Solve the following equations.
A.) 7t = 35 B.) 10 = r/5 C.) –11 = -5 + z D.) k x -7 = 28
t = ______r = ______z = ______k = ______
E.) 2t – (-5) = -7 F.) 17 = 5s – 2 G.) -3u – 2 = 4 H.) 3t – ( -2 ) – 5t = 8
t = ______s = ______u = ______t = ______
10.) A printer takes 4 minutes to warm up. After it is warmed up, it can print 19 black and white pages in one minute.
10a.) Write a function rule to represent the relationship between the number of black and white
printed pages and the total time it takes to print them.
______
10b.) Using your rule, how many black and white pages can be printed in 15 minutes after the printer is turned on? ______
10c.) If the printer is turned off, how long would it take to print a 75 page black and white report? ______
11.) Graphs A-F represent one of the six situations described below.
Match each group with the situation that describes it.
A. B. C.
D. E. F.
- Temperature as the weather changes from rainy to snowy ______
- Number of fish caught per hour on a bad fishing day ______
- Total rainfall during a rainy day ______
- Speed of a car starting from a stop sign and then approaching a stop light______
- Height of the cricket as it jumps ______
- Total amount of money spent over time during a trip to the mall ______
12.) Is the commutative property true for subtraction? Why or why not? ______
______
______
13.) Evaluate each expression. Then write >, <, or = to compare the expressions.
a.)6² + (3) (8) 8 + (3) (6)²
b.)3² + 7 27 – (4² - 1)
4 3
c.) 3 (N + 6) 18 + 4N – N
d.) 3+ 4/5 + 6 (3 + 4) / (5 + 6)
e.) -3² + 1 0
f.) (b² + 4)² b4 + 15
Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.