Algebra 1
Name:______________________
Homework #10: A.1 bullet #1 - Translate
Date:___________ Period:_____
Part 1: Indicate with math symbols what operations are being described by the given
word(s). Use + , - , x or  .
1) sum _____
2) product _____
3) decreased by ______
4) quotient _____
5) increased by _____
6) difference _____
7) more than _____
8) less than _____
9) twice something _____
Part 2: Write an algebraic expression to the given expression.
10) eight less than a number, x __________ 11) a number, x, increased by 7 __________
12) The quotient of m and n __________
13) a number, x, squared __________
14) nines times a number, x __________
15) a number decreased by three __________
16) seven more than a cube of a number, x ___________
17) one-half the product of x and y. __________ 19) twice the product of 2 and b _________
20) two less than five times a number, x ___________
21) twice a number increased by three times the number __________
22) the sum of 3 times a and b. __________ 23) three times the sum of a and b _________
24) the cube of a plus b __________
25) the cube of the sum of a and b _________
Part 3: Write an algebraic equation or inequality.
26) The difference of a number c and 17 is more than 33. _____________________________
27) The product of 3 and a number x is at most 21. __________________________________
28) The sum of 14 and twice a number y is 78. ______________________________________
29) The difference of 22 and the quotient of a number m and 4 is no more than 54.
________________________________
30) The sum of 7 and three times a number b is at least 12. ___________________________
Algebra 1
(getting ready for) A.1 bullet #2
1) Your school is replacing a section of old lockers. When the old lockers are removed, there is
a space that is 165 inches long. Each new locker is 11 inches.
a) Write an equation that models the situation.
_________________
b) x represents: ___________________ c) How many lockers will be able to fit? ____
2) You have saved $78 to buy a snowboard that costs $150. How much money do you need to
save to be able to buy the snowboard?
a) Write an equation that models the situation.
_________________
b) x represents: ___________________
c) x = _____
3) You buy a storage case that holds 150 collectible die-cast cars. You have 132 die-cast cars.
a) Write an inequality that describes how many more cars you can buy and still have no
more cars than the case will hold. __________________
b) You buys 26 cars. Will they all fit in the case? ____________________
4) You are buying a new printer and a new scanner for your computer, and you cannot spend
over $150. The printer you want costs $80.
a) Write an inequality that describes the most you can spend on the scanner and still
stay within your budget. ___________________
b) If you buy a scanner that costs $75, will you remain within your budget? __________
5) You are making beaded bracelets for your friends. You want to use 30 beads for each
bracelet and want to use no more than 145 beads.
a) Write an inequality that models this situation. ___________________
b) Can you make 4 bracelets? ______________________
6) You and three of your friends are going to race go-carts. The last time you went, you had a
coupon for $3 off each admission and paid $48 for the 4 admissions.
a) What was the total price without the coupon? ______________________
b) You pay the regular price this time and share it equally. How much does each person pay? __