Select all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame. A.(19 · 4) – 4 B.18 · 4 C.19 · 18 D.19 + 19 +
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Select all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame.
A. (19 · 4) – 4B. 18 · 4C. 19 · 18D. 19 + 19 + 17 + 17E. 19 · 19F. (17 · 18) – 4G. 17 · 4 + 4
QUESTION 1
ANSWERSelect all of the expressions below that can be used to calculate the number of tiles in a 19x19 frame.
A.(19 · 4) – 4B.18 · 4C. 19 · 18D.19 + 19 + 17 + 17E. 19 · 19F. (17 · 18) – 4G.17 · 4 + 4
ANSWEREvaluate the following expression when a = 5, b = 10, and c = 12.
12 – 2(5) + 1012 – 10 + 10
2 + 1012
QUESTION 3Lauren is 18 years old and her mother, Carolyn, is 46 years old. What will be the
ratio of Lauren’s age to Carolyn’s age in 4 years?
ANSWERLauren is 18 years old and her mother, Carolyn, is 46 years old. What will be the
ratio of Lauren’s age to Carolyn’s age in 4 years?
22 : 50 = 11 : 25
QUESTION 4Write a variable expression
represented by the picture or quantity described below.
3c 3c 2 3c 1 3c 12
ANSWERWrite a variable expression
represented by the picture or quantity described below.
3c 3c 2 3c 1 3c 12
4(3c) + 153c + 3c + 3c + 3c + 2 + 1 + 12
3c + 3c + 3c + 3c + 15
QUESTION 5On a map, 5 inches
represents 100 miles. How many inches would there be between two cities that are
2,500 miles apart?
ANSWEROn a map, 5 inches
represents 100 miles. How many inches would there be between two cities that are
2,500 miles apart? 125 inches
I M 5 100 100x = 12500
5 100 x = 2500 100 100
x 2500 100x = 12500 x = 125
QUESTION 6
Elizabeth prepared 9 lbs of dough after working 3 hours. How many
hours did Elizabeth work if she prepared 18 lbs of dough? Show the
proportional reasoning you used.
ANSWERElizabeth prepared 9 lbs of dough after working 3 hours. How many hours did Elizabeth work if she prepared 18 lbs of dough? Show the proportional reasoning you used. 6 hourslbs h 9 3 9x = 549 3 18 = x 9 918 x x = 6
QUESTION 7Write a variable expression
represented by the picture or quantity described below.
b 8 b b 10
ANSWERWrite a variable expression
represented by the picture or quantity described below.
b 8 b b 10
3b + 18b + b + b + 8 + 10
ANSWEREvaluate the expression for the
given value of the variable.
14 + 6m – 8 for m = 2
14 + 6(2) – 814 + 12 – 8
26 – 818
ANSWER
8 in
5 in
14 in
8.75 in
Are the two rectangles similar? How do you know? Yes, the second rectangle’s length and width were enlarged by a scale factor of 1.75.
QUESTION 10
John needs to make a picture frame for a Christmas gift. He wants his frame to have
12 tiles on each side.
Write an expression to find the total number of tiles used in the frame.
Draw a diagram that represents your method for finding the number of tiles John
will use.
ANSWERJohn needs to make a picture frame for a Christmas gift.
He wants his frame to have 12 tiles on each side.
Write an expression to find the total number of tiles used in the frame.
12(2) + 10(2)
Draw a diagram that represents your method for finding the number of tiles John will use.
12
12
1010
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