NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Equivalent Expressions Practice
Simplify each expression.
1. (7 + x) + 7x
2. 5 • (4 • x)
3. 15y + (x + 9y)
4. (6x + 21) + 14
5. 3x + 2 + 11x
6. (x + 13y) + 8y
7. (12y + 2x) + 4y
8. 8 • (x • 4)
9. 3(5x)
10. 3x + (7x + 10)
11. 5x + 2 + x
12. 4 • x • 10
13. (x • 12) • 3
14. 14x + 9y + 6x
15. 5x + 24 + 14x
16. x + 4 + 3x + 3 + x + 6
5x + 13
18. 6 + x + 9 + 3x + 24x + 8
28x + 23
20. 25y + 5x + 4y + 4x + 3y + 23y
9x + 55y
23. 5 • x • 10 • x • 3
150x2
17. 15 + 6 + x + 8x + 17y + 9x
18x + 17y + 21
19. x + 2 + 8x + 8x + 16 + 4x
21x + 18
21. 4x + 3y + 23y + x + 2 + x
6x + 26y + 2
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
ALGEBRA For Exercises 16 through 21, translate each verbal expression into an algebraic expression. Then,
simplify the expression.
1. The sum of three and a number is added to twenty-four.
2. The product of six and a number is multiplied by nine.
3. The sum of 10 times a number and fifteen is added to eleven times the same number.
4. Two sets of the sum of a number and eight are added to five times the same number.
5. Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen.
6. Five friends went to a baseball game. Three of the friends each bought a ticket for x dollars and a soda for $6.00. The
other two friends each bought only tickets. Write and simplify an expression that represents the amount of money
spent.
7. AMUSEMENT PARKS Four friends went to a local
amusement park. Three of the friends bought ride
tickets for x dollars, plus a game pass for $10. The
other friend bought just a ride ticket. Write and
simplify an expression showing the amount of total
money spent.
8. AGE Julianna is x years old. Her sister is 2 years older
than her. Her mother is 3 times as old as her sister. Her
Uncle Rich is 5 years older than her mother. Write and
simplify an expression representing Rich’s age.
ICE CREAM For Exercises 5 and 6, use the following
9. Ten kids each order a scoop of ice cream. Five of the
kids add sprinkles, 3 add nuts, and 2 add nothing extra.
Write and simplify an expression that represents the
total cost.
information provided in the table.
Toppings
Ice Cream (Scoop)
Sprinkles
Hot Fudge
Whipped Cream
Nuts
Cost
x dollars
$0.25
$0.75
$0.50
$0.35
10. Write and simplify an expression that represents the
total cost of ordering nuts on a scoop of ice cream and
then adding hot fudge.
NAME _____________________________________________ DATE ____________________________ PERIOD _____________