Evaluate Algebraic Expressions Quick Check
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Question
Mr. Imani wants to purchase paper and notebooks for his classroom. At Dollar Discount he can buy packs of paper, p , for $1.25 each and notebooks, n , for $2.50 each. This is modeled by 1.25p + 2.50n . Evaluate for p = 10 and n=30 to find how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks. (1 point)
Responses
$62.50
$62.50
$87.50
$87.50
$450.00
$450.00
$43.75
To evaluate the expression 7(l + 2w), where l = 5 and w = 2, substitute the values of l and w into the expression and perform the calculations:
7(5 + 2(2)) = 7(5 + 4) = 7(9) = $63
Therefore, it will cost Mr. Rodriguez $63 to put a fence around a garden that has a length of 5 yards and a width of 2 yards.
The correct response is: $63
To evaluate the expression 1.25p + 2.50n, where p = 10 and n = 30, substitute the values of p and n into the expression and perform the calculations:
1.25(10) + 2.50(30) = 12.50 + 75 = $87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.
The correct response is: $87.50
The formula for finding the volume of a square prism is s2h , where s is the length of each side of the square base and h is the height of the prism. Evaluate to find the volume given values of s = 4 and h = 6 .(1 point)
Responses
144 cubic centimeters
144 cubic centimeters
96 cubic centimeters
96 cubic centimeters
576 cubic centimeters
576 cubic centimeters
48 cubic centimeters
To evaluate the expression s^2h, where s = 4 and h = 6, substitute the values of s and h into the expression and perform the calculations:
4^2 * 6 = 16 * 6 = 96 cubic centimeters
Therefore, the volume of the square prism is 96 cubic centimeters.
The correct response is: 96 cubic centimeters
Each month Ms. Tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This is modeled by 2,500 + 100t , where t represents the number of televisions. Evaluate for t = 12 to find how much Ms. Tanaka will earn for selling 12 televisions this month.(1 point)
Responses
$2,600
$2,600
$31,200
$31,200
$3,700
$3,700
$2,612
To evaluate the expression 2,500 + 100t, where t = 12, substitute the value of t into the expression and perform the calculations:
2,500 + 100(12) = 2,500 + 1,200 = $3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
The correct response is: $3,700
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2 when s = 7 .(1 point)
Responses
230 square inches
230 square inches
580 square inches
580 square inches
9,940 square inches
9,940 square inches
34,790 square inches
To evaluate the expression 720 - 10s^2, where s = 7, substitute the value of s into the expression and perform the calculations:
720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230 square inches
Therefore, Robert will have 230 square inches left for his presentation if he uses squares with 7-inch sides.
The correct response is: 230 square inches
Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w) , where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point)
Responses
$98
$98
$63
$63
$16
$16
$39
To evaluate the expression 1.25p + 2.50n for p = 10 and n = 30, you need to substitute the given values into the expression and perform the calculations.
First, substitute p = 10 and n = 30 into the expression:
1.25(10) + 2.50(30)
Next, simplify the expression by performing the multiplication:
12.50 + 75.00
Lastly, add the two values together to find the final result:
87.50
Therefore, the correct answer is $87.50.