Algebraic
Translation
Translation
Susan is 3 years more than twice her brother's age. If her brother is m years old, which expression best describes Susan's age?
2m+3
What is the value of
5x-(2y+3)
when x = 2 and y = 3
1
Solve for x: 2x + 1=11. Show your solution on the board. You can check if your answer is correct using Desmos.
2x = 10
x = 5
Solve for x in the equation y = x + 5.
y - 5 = x
John's age is 5 less than twice Jane's age. If Jane's age is x, how will you represent John's age?
2x-5
Seven less than three times the square of a number
3x^2-7
What is the value of the expression
root(3)(6x^2)+root(3)(2y^2)
when x = 6, y = 2?
8
Solve for 3x +1 < 5x + 7.Show your solution and graph on the board. You can check if your answer is correct using Desmos.
x> -3
Solve for x in the equation
y=x^2+3
x=sqrt(y-3)
John is being paid $12 per hour at Walmart. If he works for x hours this week, how will you represent the money that he made for this week by working at Walmart?
12x
Translate to algebraic expression: negative four times the sum of a number and three
-4(x+3)
What is the value of
(x^2-1)/(y+2)
when x = -4 and y = 1?
5
Solve for x:
1/2x-7=2
Show your solution on the board. You can check if your answer is correct using Desmos.
x = 18
Solve for h in the equation
V=1/3bh
h=(3V)/b
John received 3 gifts from each guest who went to his birthday. His sister Jane gave him 2 gifts. If he received 83 gifts in total, how many guests went to his birthday? Show and solve your equation.
3x + 2 = 83
3x = 81
x = 27
One less than one-fourth the square of x is y.
1/4x^2-1=y
What is the value of
|x^2-:z-y|+z
when x = 4, y =13, and z = 8?
-3
Solve 3(x + 1) - 4 = 2(x - 1). Show your solution on the board. You can check if your answer is correct using Desmos.
x=-1
Solve for x in the equation
y=x/2+c
2(y-c)=x
The length of the rectangular field is one meter less than twice the width. The perimeter is 52 m. Find the length and width of the rectangle. Show the equation and final answer. You can use Desmos to check your final answer
width = x
length = 2x - 1
equation: 2(2x - 1) + 2x = 52
answer: width = 9, length = 17
Show the difference between the two statements by writing their algebraic expressions.
four less than square root of a number.
the square root of the difference of a number and four
sqrtx - 4
sqrt(x-4)
What is the value of
m^2-p+|6-k*p|
when k = 9, m = -3 and p = 2?
19
Solve for
1/2x+2>2x-1
Show your solution and graph on the board. You can check if your answer is correct using Desmos.
x<2
Solve for r in the equation
V=1/3pir^2
r=sqrt((3V)/(pih))
Taxi A has a flat rate of $12 and charges $3 per mile. Taxi B doesn't have a flat rate but charges $5 per mile. In a given trip, describe the scenario where it would be better to take Taxi B.
If you will travel for less than 6 miles, it would be better to take Taxi B.