Expressions
Write an algebraic expression for "the sum of a number n and seven."
n + 7
Translate: "a number plus fourteen."
x + 14
(any variable is fine)
Evaluate the expression 2(3x+4)2.
18x2+48x+32
Translate and write: "the sum of a number and 8," then evaluate when the number is 2.
Algebraic expression: n+8
2 + 8 = 10
Translate: "the sum of the product of 2 and a number and 5" into algebra.
2x + 5
Write an algebraic expression for "twice a number m."
2m
Translate: "seven times a number decreased by 2."
7y - 2
Evaluate 5x(2x+6)(2x-6)
Translate and evaluate: "three times the sum of a number and 1" when the number is 4.
Expression: 3(x+1)
When x=4
x = 15
Evaluate: 3(2+(4−1))
15
Write an algebraic expression for "the product of 6 and a number x decreased by 4."
6x - 4
Translate: "the sum of twice a number and five."
2x + 5
Evaluate 3(4x+5)2−6
48x2+120x+69
Evaluate: [2(3+1)]+5
3+1=4
2(4)=8
8+5=13
13
Translate and simplify: "the product of 3 and the quantity (n + 2) minus 4."
3(n+2)−4
3n + 6 - 4
3n -2
Write an algebraic expression for "three more than the quotient of a number p and 5."
p/5 + 3
Translate: "the product of 4 and the sum of a number k and 3."
4(k + 3)
Evaluate 2[3x(2x+1)+4]
12x2+6x+8
Translate: "twice the difference of a number and 3", write expression, then evaluate for the number 7.
2(n-3)
2(7-3)
2(4) = 8
Evaluate and show steps: 2[4+3(2+1)]−5
2[4+3(3)] - 5
2[4+9]+5
2[13]+5
26 - 5 = 31
Write an algebraic expression for "the difference between the square of a number t and 9."
t2 - 9
Translate: "five less than three times a number n."
3n - 5
Evaluate 4(2x+3[x+1])2
100x2+120x+36
Translate and evaluate: "four times the sum of a number and the product of 2 and 3" (write expression and compute).
4(m+(2×3)) OR 4(m+6)
Translate: "four times the sum of a number and 2, minus the product of 3 and the number." Write expression and evaluate when the number is 5.
4(n+2) - 3n
4(5+2) - 3(5)
4(7) - 15
28 - 15 = 13