Download Simplify - MathLessonSharing

The Language of Algebra, Real Numbers
and Matrices
Name __________________________
Date_______________ Section______
Selected Response. (1 point each)
______1) Simplify:
A. –2m + 20
______2) Simplify:
A. –3x – 5
4m + 2 – 3(2m – 6)
B. –2m –16
C. –2m – 4
D. 4m + 7
C. –3x – 15
D. –3x + 15
-3(x – 5)
B. –3x + 5
______3) Select the verbal expression for 5x2 + 2
A.
B.
C.
D.
five times x squared less two
five plus x squared plus two
the product of five times x squared and two
five times x squared plus two
______4) Select the verbal expression for 8y2
3
A. the difference of eight times y squared and three
B. the quotient of eight times y squared and three
C. the sum of eight times y squared and three
D. eight y squared minus three
______5) A local store is selling hats for $4.35 and t-shirts for $6.99.
Which expression below could be used to find the total cost of
purchasing n hats and y shirts?
A. (4.35 + 6.99)ny
B. 4.35n + 6.99y
C. 4.35y + 6.99n
D. (n + y) + (4.35 + 6.99)
______6) Evaluate the expression 5 + 5(33 – 52) + 3
A. 148
B. 110
C. 83
D. 48
C. –3
D. 2
______7) Simplify –3(5 + 3)
-2 + 6
A.
5
4
B. –6
______8) Simplify
A. –6k – 8
24k  8
4
B. –6k + 2
C. –24k + 2
D. 24k + 2
______9) Find the solution set for 4x – 10 < 14 if the replacement set is
{1, 2, 3, 4, 5, 6, 7, 8}.
A. {7, 8}
B. {6, 7, 8}
C. {1, 2, 3, 4, 5}
D. {1, 2, 3, 4, 5, 6}
Write an algebraic expression for each verbal expression. (1 point each)
____________10) six increased by the square of a number
____________11) w cubed times r to the fourth power
____________12) five less than three times a number
Evaluate each expression for the given value of the variables. (1 point each)
13) 5z2 + 2 z  8 when z = -3
14) -3p2 + pq when p = -4 and q = 5
 9 3 4
 6 11  7 
15) Find F – E if F = 
and E= 

 . (1 point)
 6 4 15
  8  16  15
16)
  2 x 3  9k 
Multiply: -5 
. (1 point)
7 x  4 
 y
 2 y 3 
3 y  2  6 y 
17) Simplify 
. (2 points)
 2

 5 
  5 4 y
 4
18) Insert one set of parenthesis so that the expression has the greatest value.
(1 point)
5+64+7
Find each square root. If necessary, round to the nearest hundredth. (1 point each)
19) -
20)
83
81
256
21) 
75
1
5
22) Write - 5 , -0.5, - , - , and –1 in order from least to greatest. (1 point)
5 11
23)
ECR (4 points)
The following matrices show the number of root beer floats, pit beef
sandwiches, and caramel apples sold on a Friday and Saturday at the Great
Frederick Fair. Write one matrix that shows the total number of each item sold
over the two day period.
Root Beer
Friday Sales
125
Pit Beef
Apples
528 215
Root Beer
Saturday Sales
240
Pit Beef
Apples
821 311
If root beer floats sell for $2.50 each, pit beef sandwiches sell for $6.25 and
caramel apples sell for $3 write one matrix to represent the total dollar sales
for each item. Explain how you determined your answer. Use words, symbols,
or both in your explanation.
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Use the Response Grids to complete Numbers 24 and 25. (1 point each)
24) Find the solution of 3n – 13 = 38 if the replacement set is {12, 14, 15, 17, 18}
25) The matrices below show what drinks high school and college students
prefer during the winter and the summer.
Drink Preference
Winter
Summer
High College
School
Milk
Soda
Coffee
 408 200
650 560 


200 700
High College
School
Milk
Soda
Coffee
405 200
808 708


 56 500 
How many more high school students prefer soda in the summer than in the winter?
26)
BCR (3 points)
Look at the rectangle below.
3
x+7
Write a simplified expression that represents the area of the rectangle.
Explain how you determined your answer. Use words, symbols, or both
in your explanation.
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