Name _______________________________________ Hour ________ Date ________________
Math 6- Practice Exam on Chapter 7 – 2014-2015
1. Ratios The chart below describes the speed of 3 racing snails.
Snail
Description
Speedy
20 feet per hour
Slowpoke
80 inches in 30 minutes
Cleo
8 feet every 10 minutes
Unit Rate (per one unit)
Which snail is fastest, and what is its rate in feet per hour? (2 points)
2. Dividing fractions After everyone had taken a slice of Shemila’s birthday cake, there was
still one-fourth of the cake left. Since Briyanna, Taylor, and Angelica were the ones to buy the cake,
they decided to split the leftovers evenly among themselves. How much of the original cake are
they each getting? Write down your work! (2 points)
3. The Distributive Property For the collection of algebra tiles, write expressions showing what the
tiles represent in two different ways, one expression with parentheses and one without. Are the
two expressions equal? If so, write an equation stating so. If not, why not? (3 points)
x
x
x
x
1
4. Solving equations Find the value of the variables. Please write down all work. (4 points)
a.
p
p
26
62
x
x
x
4
b.
37
5. Order of operations Find the answer by using correct order of operations. You should begin
by circling the terms in each expression. (2 points)
a.
56 + 3  5 – 6(1 + 4) + 14
b.
2
7 + 8  3 + 20 ÷ 2 × 3 − 32
6. Area and perimeter Consider the two rectangles shown below. (4 points)
5 feet
30
feet
8 feet
48 feet
a. Are the two rectangles similar? How do you know?
b. What is the ratio of the smaller perimeter to the larger perimeter?
c. What is the ratio of the smaller area to the larger area?
7. Models of fraction multiplication Draw a picture for each of the following situations and
determine the fractional product. Be sure to use color for the shading! WRITE THE ANSWER!
(3 points)
a
1
3
𝑜𝑓
1
2
b.
1
3
𝑜𝑓
3
3
5
c.
3
4
𝑜𝑓
1
3
8. Models of mixed number multiplication Which of the following models can be used to correctly
1
represent 2 × 2 2 ? Circle your answer. What do the others represent? Write the
multiplication problem. (4 points)
a.
b.
c.
d.
9. Algebraic expressions A square has side lengths of n units for each side. Write at least three
variable expressions for the perimeter of the square. (3 points)
n
n
1.
2.
n
3.
n
10. Operations with decimals Multiply, add, and subtract. (3 points)
a.
15.3(1.4)
b.
105.76 + 35
4
c.
43.6 – 29