Quarter 1 - Representation, Area and Perimeter, Portions and Integers
List the first 10 multiples of 4 and 12
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Simplify each expression.
-|-5.9|
|7| + |-9|
-5.9
16
Simplify each of the following:
2/5 ÷ 8/9
15.275 ÷ 6.5
9/20
2.35
Convert each fraction to a decimal. Tell whether the decimal is terminating or repeating.
a. 7/8
b. 1/6
a. 0.875 terminating
b. 0.16666 repeating
Find the dimensions of a rectangle with an area of 56 square inches and a perimeter of 36 inches.
14 inches by 4 inches
Write a numerical expression to represent the following phrase: “Three piles of eight pennies each, with two left over.” Calculate the value of the expression.
3(8) + 2 = 26
A runner is racing around a 3/4 mile track and is 2/3 around the track. How far has the runner traveled?
1/2 mile
Javier has driven 45 miles. This represents 60% of his entire trip. What is the total number of miles in Javier’s trip?
90 miles
Simplify.
8(50 + (−5))
|−12 + (−3)|
360
15
Complete a portion web for 7/2.
3.5, 3 1/2, 350%
Find the sum or difference of the following problems.
8.173 − 8.008
1.072 + 98.928
0.165
100
Twenty percent of the first-grade class like cupcakes. If there are 35 students in the class, how many like cupcakes?
7 students
Calculate each expression using the order of operations.
24 − (6 + 9) ÷ 3 + 42 ÷ 2
7 • 2 + 11 − 2(7 + 3)
40
5
Which two integers have a sum of –2 and a product of –15?
-5 and 3
The side lengths of a triangle are 8, 12, and 16 units.
If you reduce the triangle by a ratio of 3/4, what are the side lengths of the new triangle?
6, 9, 12 units
Hot dogs come in packages of 6 while hot dog buns come in packages of 8. What is the smallest number of packages you would need to buy of each to have one hot dog for each bun?
4 packages of buns and 3 packages of hot dogs
For every two elephants at the local zoo, there are five tigers.
a. Write the ratio in three ways of the number of elephants to the number of tigers.
b. There are 15 tigers at the zoo, how many elephants are there?
c. The ratio elephants to giraffes is 2 to 1. How many giraffes do you think are in the zoo?
a. 2:5, 2 to 5, 2/5
b. 6 elephants
c. 3 giraffes
Solve and graph each inequality.
12 ≤ 𝑛 + 9
𝑛 − 3.6 > 4.5
3 ≤ n
n > 8.1
I’m thinking of a number. When I multiply by 8 and add –1, I get –17. What’s my number? How do you know?
-2
For each expression below, rewrite the expression without parentheses or rewrite with parentheses if the parentheses are not there.
a. 5(1 + 4𝑦) = _______________
b. ________________ = 3𝑥 + 12
a. 5 + 20y
b. 3(x + 4)
My decimal is halfway between 0.3 and 1.20. What’s my decimal?
Rewrite my decimal as a fraction and a percent.
0.75
75%
75/100
Evaluate each expression for the given variable.
4𝑛2 + 7𝑛 when 𝑛 = 3
9(𝑓 − 32) when 𝑓 = 50
36 + 21 = 57
9(18) = 162
Find the volume and surface area of a rectangular prism with side lengths of 4, 5, and 8 units.
Volume: 160 cubic units
Surface Area: 184 square units
Simplify the expressions.
−2(3.4 − 5.4) + (−7)
(6 − 42) ÷ (−9 + 4)
11
2
What is the volume of a triangular prism with a height of 4, a width of 5, and a length of 10 inches.
100 cubic inches