Study Guide for Benchmark Test (Nov. 2014) Name______

Unit 3 - Expressions
1) 5 + 9(32 − 8)
14 / 2) 82 − 4 + 3
63 / 3) Write an expression to represent “the product of x and 9.”
9x
4) Find the value of the expression below when a = 5 and b = 7.
a(b2 – a)
a x b2 – a x a
44 x 5 = 220 / 5) Simplify the expression below.
8x + 7y + x
Combine Like Terms
9x + 7y / 6) Simplify the expression below.
4(6r + 7)
Distribute the 4 –
Means Multiply
24r + 28
Unit 2 - Ratio, Unit Rate, Conversions
7) Jaylen has 10 pair of New Balance shoes and 15 pair of Nike shoes. What is the ratio of Nike to New Balance?
15:10
15 to 10
15/10 / 8) There are 35 packs of Skittles and 20 packs of M & Ms in the Trick or Treat bucket. What is the ratio of Skittles to total?
35:55
35 to 55
35/55 / 9) Imani earned $15 when she babysat for 3 hours. How much did she earn per hour?
Per means to divide
$15/3hr
$5/hr
10) Find the unit rate: 125 words in 5 minutes
Unit rate – means divide
125words/5min
25 words/min / 11) Use equivalent ratios to complete the table below.
Look for the common multiples or factors
x / 1 / 2 / 3 / 4 / 5 / 6 / 7
y / 4 / 8 / 12 / 16 / 20 / 24 / 28
/ 12) Which ratio is equivalent to the ratio ?
a) 5:2 b) 4:7
c) 1:2 d) 6:15
ANSWER is (d
13) Justin got 17 out of 20 questions correct on the test. What was his score as a percentage?
17/20
85% / 14) 40% of the students in class are boys. If there are 12 boys, how many total students are in the class?
Set up proportion.
Cross Multiply.
Solve for x.
40/100 = 12/x
40 x = 100 x 12
40x = 1200
x = 1200/40
x = 30 students / 15) A truck is 3 yards long. How many feet long is it?
Determine how many feet in a yard.
3 feet = 1 yard
3yard x 3 feet /yard =
9 feet
16) Write the metric ladder.King Henry Doesn’t Usually Drink Chocolate Milk
Kilo Hecto Deka Units Deci Centi Milli / 17) 0.807 kg = ______g
Use Metric Ladder
Move from Kilogram to
Gram. Move decimal 3
Spaces to the Right.
807 grams
Girl Scout Cookie Sales
18) The table below shows the cookie sales for four Girl Scouts.

Peanut Butter Patties / Thin Mints
Bethany / 9 / 15
Shaila / 14 / 7
Cynthia / 8 / 8
Danyell / 6 / 17
Unit 1 - Divide Fractions, Decimal Operations, GCF, LCM
19)


Can reduce or find equivlanet ratio.
/ 20) Carmen has pounds of pecans to share among 12 children. How much should each child receive?

Divide the improper
fraction by 12 to split
it up between the 12
children.


/ 21) Makayla has 25 lollipops and 75 pieces of bubblegum to place in goody bags. What is the greatest number of bags she can make?
GCF
25 / 22) In the cafeteria, every 4th person will receive tater tots and every 7th person will received french fries. Which number person will be the first to receive both tater tots and french fries?
LCM
4 x 7 = 28
23) 4.26 + 0.364 + 7 =
When adding line up the decimals.
4.260
+ 0.364
4. 624
+ 7. 000
11.624 / 24) 1.080 − 0.675 =
When subtracting line up the decimals.
1. 080
- 0. 675
0 .405
Use Addition to Check your answer
0. 405
+ 0. 675
1 .080 / 25) 21.6 x 9.8 =
When multiplying do not line up BUT move decimal over in final answer the correct number of spaces.
21.6
x 9.8
1728
19440
1728
+19440
21168
Then move decimal
over 2 spacesfrom the left.
Final answer is
211.68 / 26) 4578 ÷ 14 =
PRACTICE
LONG DIVISION
_____3 2 7_
14| 4 5 7 8
-4 2
37
- 2 8
9 8
- 9 8
ALWAYS
Multiply to check or verify your answer!!!
327
x 14
1308
+ 3270
4578