Write & Evaluate Equivalent Expressions
"Write an algebraic expression for the following: 'Five less than three times a number'."
3x - 5
Simplify: 3x + 5x - 2x
6x
Expand: 3(x + 2)
3x + 6
Factor: 3x + 6
3(x + 2)
(2x + 3) + (5x + 1)
7x + 4
"Evaluate the expression 3x² - 2y when x = 4 and y = -1."
46
Simplify: 7y - 2y + 4 - 9
5y - 5
Expand: -2(y - 5)
-2y + 10
Factor: -2y + 10
-2(y - 5)
(4a + 2b - 1) + (3a - b + 5)
7a + b + 4
A taxi ride costs $3.00 plus $1.50 per mile. Write an expression for the total cost of a taxi ride. Then, calculate the cost of a 7-mile ride.
The expression is 3 + 1.5m. The cost of a 7-mile ride is $13.50.
8a - 3b + 2a - 5b
10a - 8b
Expand: 5(2a + 3b)
10a + 15b
Factor: 10a + 15b
5(2a + 3b)
(8y - 2) - (3y + 5)
5y - 7
Write an expression for the perimeter of a rectangle with a width of 'w' and a length that is twice the width. Then, evaluate the perimeter if the width is 5 centimeters.
The expression is 6w. The perimeter of the rectangle is 30 centimeters.
Simplify: 2(x + 3) + 5x - 4
7x + 2
Expand: 2(x + 4) + 3(x - 1)
5x + 5
Factor: 2x + 8 + 3x - 3
5(x + 1)
(5x + 2) - (3x - 4)
2x + 6
Write an algebraic expression for the following: "three times a number plus eleven."
3x + 11
Simplify: 2(3x - 5) + 4x + 7
10x - 3
Expand: -10x(5 + 3)
-80x
Factor: 3x³ - 6x² + 3x
3x(x² - 2x + 1)
(6x - 3y + 2) - (2x + 4y - 1)
4x - 7y + 3