Writing Algebraic Expressions
Write an algebraic expression for the sum of k and 8.
k+8
Evaluate 6x2 + 7 when x = 5
6(5)2 + 7
= 6(25) + 7
= 150 + 7
= 157
A. Simplify x + x + 3 + 4
B. What is the only coefficient in the simplified expression? What is the constant?
A. 2x + 7
B. 2, 7
Simplify 3(2w + 5).
6w + 15
Identify the like terms in the expression 7y - 13y - 5
The like terms are 7y and -13y.
Write an algebraic expression for the product of 10 and g.
10g
Evaluate 14g - 98 + 3g when g = 7
14 (7) - 98 + 3(7)
= 98 - 98 + 21
= 21
Simplify 12x - 4x + 3x + 5x
16x
Simplify 10(3 - 4d)
30 - 40d
Identify the like terms in the expression 2y - 25 + 80p + 3 - p + 3y
The like terms are: 2y and 3y, -25 and 3, 80p and -p.
Write an algebraic expression for: Subtract 10 from the product of 4 and h.
4h - 10
Evaluate 3(5p-1) when p = 4.
3(5(4)-1)
= 3(20-1)
= 3(19)
= 57
What are 8z + 2z and 3z + 4z + 3z?
They are EQUIVALENT.
Simplify:
4(6 + 5g) + 7(3 - g)
45 + 13g
What are the like terms in this expresssion:
3x2 + 5 + 7g - x2 - 5x - 3g + 10 + x
3x2 and - x2, - 5x and x, 7g and - 3g, 5 and 10.
Describe this algebraic expression in words: 1/5(x + 3)
One-fifth of three more than x.
Write an expression for subtracting 60 from the sum of 8e and 20. Then, evaluate when e = 7.
(8e + 20) - 60
= (8(7) + 20) - 60
= (56 + 20) - 60
= 76 - 60
= 16
Simplify 20 + 5u + 10u - 20 - 14u
u
Simplify:
3(y - 3) + 2(5 +3y) + 24(2y - 5) + 6(5-y)
51y - 89
What are the like terms in the fully simplified expression 7(3h + 4) + 2h - 2.
Show your work and make sure to collect like terms.
7(3h) + 7(4) + 2h - 2
= 21h + 28 + 2h - 2
= 21h + 2h + 28 - 2
= 23h + 26. There are no like terms in the fully simplified expression.
Describe this algebraic expression in words: 6+3d
The sum of 6 and the product of 3 and d.
What is the product of (2z + 1) and (3z - 6) when z = 4?
(2(4)+1)(3(4)-6)
= (8+1)(12-6)
=(9)(6)
=54
What is the amount of money Peggy paid in terms of x when Peggy bought 2 racing cars for 5x dollars each and 3 model motorcycles for 3x dollars each?
5x + 5x + 3x + 3x + 3x = 19x
A. Find the expression for the distance traveled by a train in 3 hours when the train is moving at an average speed of (5x - 8) kilometres per hour.
B. How far did the train travel in 3 hours if x = 15?
A. (15x - 24) kilometres.
B. 201 km.
A. What are the like terms in the simplified expression 3(6k + 5)? Show your work and make sure to collect like terms.
B. Evaluate when k = 10.
A. 18k + 15. There are no like terms in this expression.
B. 18(10) + 15
= 180 + 15
= 195