Pre-AP Algebra
Homework 2.1 thru 2.4
Name ________________________
Date _______________ Period ____
Writing Expressions and Equations Translate each phrase into a variable expression.
1.
8 more than a number
_________________________
2.
A number decreased by 11
_________________________
3. Half a number
_________________________
4. The quotient of 17 and d
_________________________
5. 7 more than twice y
_________________________
6. 8 less than half n
_________________________
7. 5 plus the quotient of a number and 8
_________________________
8. Seven decreased by three times a number
_________________________
9. Twice the sum of a number and three
_________________________
10. Five times the sum of a number and two
_________________________
11.
The difference between three times a number and one ___________________
12. Five less than six times a number
_________________________
13. Twice a number, increased by three
_________________________
14. Four times the sum of r and s, increased by twice the difference of r and s
__________________________
Complete each statement with a variable expression.
14. Ann is 3 cm taller than Fred. If Fred’s height is f cm, then Ann is _________
15. Maria has $10 more than Luis. If Maria has m dollars, then Luis has ___________
Write an equation or inequality for each situation.
20. The product of 4 and a number w is 51.
_______________________
21. The two times the sum of b and 3 is 12.
_______________________
22. The product of 8 and k is 16
_______________________
23. Half of the difference of 7 and three times a number b is 12.
_______________________
24. The difference of f and five times g is the same as 25 minus f.
_______________________
25. Four times the sum of 14 and c is d squared.
_______________________
26. The square of g is the same as two times the difference of g and 10. _______________________
27. The sum of q and four times t is equal to 29.
_______________________
28. Ten is no more than 4 times the sum of twice a number and three. _______________________
29. The difference of h and five times g is the same as 25 minus h. _______________________
30. Four times the sum of 16 and d squared is b cubed. _______________________
31. Four times a number minus 6 is greater than eight plus two times the number.
_______________________________
32. Negative three times a number plus 4 is less than five times the number plus eight.
_______________________________
33. Three fourths of a number decreased by six is at least forty-two. _____________________
34. A number g to the third power is the same as the product of 24 and g plus 4.
_____________________
35.Seven tenths of a number plus 14 is less than forty-nine. _____________________
Use the following equations and inequalities to write a statement.
1.
g 2 = 2(g − 10)
2. 7m − 9 = 23
3. 3(x − 10) = 4y − 10
4. 2(2x + 4) < 17 5.
j + 16 > 35
6.
1
(x + y) = 25 2