Question
Evaluate c ÷ d + d2 + 2c
when c = 20
and d = 4
.(1 point)
Responses
445
445
365
365
41
41
61
61
To evaluate the expression c ÷ d + d2 + 2c when c = 20 and d = 4, we substitute the given values into the expression.
c ÷ d + d2 + 2c = 20 ÷ 4 + (4)2 + 2(20)
= 5 + 16 + 40
= 61
Therefore, the correct answer is 61.
The expression x2 × 10
represents the volume of a square prism with side length x
. What is the volume of the prism with a side length of 8 centimeters?(1 point)
Responses
6,400 square cm
6,400 square cm
7,560 square cm
7,560 square cm
640 square cm
640 square cm
160 square units
To find the volume of a square prism with side length x, we need to calculate the expression x^2 × 10.
In this case, the side length is 8 centimeters.
So, substituting x = 8 into the expression:
Volume = (8)^2 × 10
= 64 × 10
= 640 square cm
Therefore, the volume of the prism with a side length of 8 centimeters is 640 square cm.
The final cost of an item is the original cost, c
, minus a $15 coupon. Translate the words into an algebraic expression.(1 point)
Responses
15÷c
15 divided by c
c+15
c plus 15
c−15
c minus 15
15−c
15 minus c
Based on the given information, the algebraic expression that represents the final cost of an item being the original cost, c, minus a $15 coupon is:
c - 15
Therefore, the correct expression is c - 15.
Question
The expression 100−x
represents the number of coins after bumping a wall a number of times in a game. What is this expression translated into words?(1 point)
Responses
100 points less the number of times bumping a wall, x
100 points less the number of times bumping a wall, x
the quotient of 100 points and the number of times bumping a wall, x
the quotient of 100 points and the number of times bumping a wall, x
the number of times bumping a wall, x
, less 100
the number of times bumping a wall, x , less 100
the quotient of the number of times bumping a wall, x
, and 100 points
Based on the given information, the expression "100−x" can be translated into words as:
100 points less the number of times bumping a wall, x.
Therefore, the correct translation is 100 points less the number of times bumping a wall, x.
How many factors are in the expression 4⋅3ab
?(1 point)
Responses
2
2
1
1
12
12
4
To determine the number of factors in the expression 4⋅3ab, we need to count the number of different factors.
The expression 4⋅3ab can be broken down into separate factors: 4, 3, a, and b.
Therefore, there are 4 different factors in the expression 4⋅3ab.
The correct answer is 4.
Identify the expression in −p12+10=4
.(1 point)
Responses
−p12+10
negative Start Fraction p over 12 End Fraction plus 10
4
4
−p12+10=4
negative Start Fraction p over 12 End Fraction plus 10 equals 4
−p12
negative Start Fraction p over 12 End Fraction