Name:_________________________________________________________
2016 Summer Assignment entering grade 7 Pre-Algebra
Evaluate
2
5
5
5
1
3
1) 9 + 6 =
2) 12 ÷ 8 =
3) 43 - 25 =
4) 14.25 + 1.905 =
5) 123.35 – 15.152 =
6) 25.45 ÷ .05 =
8) 12.6 x 10.15 =
9) 2.3 + .025 + 4.15 =
3
1
7) 47 x 52 =
Insert <, >, or = in each blank to make a true statement.
10) 6 _____ -6
11) -2.5 _____ -3.5
12) -9 _____ -1
13) Use an integer to represent the following:
a) 25 feet below sea level
b) 25 feet above sea level
c) What would zero represent?
14) Write an algebraic expression for each of the following
a) 5 less than a number n
b) Seven more than 3 times a number x
c) The quantity five more than a number divided by six
Find the value of n that will make each of these a true statement.
15) n + 3 = 8
16) n – 7 = 12
17) 3n = 15
18) When making fruit punch 2 cups of syrup is needed for every 5 cups of water. If 6 cups of syrup are
used, how many cups of water are needed?
19) On a bicycle you can travel 20 miles in 4 hours. What are the unit rates in this situation? (distance
you travel in one hour)
20)
21) If the points on the coordinate plane below are the three vertices of a rectangle, what are the
coordinates of the fourth vertex? What are the length and width of the rectangle?
22) Are these expressions equivalent? How do you know?
4m + 8
4(m + 2)
3m + 8 + m
2 + 2m + m + 6 + m
23) Ten more than twice a number is 36. What is the number? Write an algebraic equation then solve
for the number.
24) On a map, the library is located at (-2, 2), the city hall building is located at (0, 2), and the high
school is located at (0, 0).
a) Represent the locations as points on a coordinate grid with a unit of 1 mile.
b) What is the distance from the library to the city hall building? The distance from the city hall
building to the high school? How do you know?
c) What shape does connecting the three locations form? The city is planning a park in this
enclosed area. What is the area of the park?
25) Find the area of a triangle with a base length of three units and a height that is double that.
26) Find the area of the trapezoid shown below using the formulas for rectangles and triangles.