©
3-1
NAME ______________________________________________ DATE
____________ PERIOD _____
3-1
Skills Practice
Practice
Translate each sentence into an equation.
(Average)
Translate each sentence into an equation.
1. Fifty-three plus four times c is as much as 21. 53 4c 21
1. Two added to three times a number m is the same as 18. 3m 2 18
2. Twice a increased by the cube of a equals b. 2a 4. The sum of x and its square is equal to y times z.
2. The sum of five times h and twice g is equal to 23. 5h 2g 23
a3 b
3. Seven less than the sum of p and q is as much as 6. ( p 1
4
3. One fourth the sum of r and ten is identical to r minus 4. (r 10) q) 7 6
x x 2 yz
5. Four times the sum of f and g is identical to six times g. 4(f 4. Three plus the sum of the squares of w and x is 32. 3 (w 2 g ) 6g
Translate each sentence into a formula.
6. The perimeter P of a square equals four times the length of a side s.
P 4s
Translate each sentence into a formula.
5. Degrees Kelvin K equals 273 plus degrees Celsius C.
Translate each equation into a verbal sentence.
1
3
8. q (4 p) q
A
r 2
q minus the sum
1
of 4 and p equals times q.
3
Translate each equation into a verbal sentence.
13. 4(a b) 9a
Twice p plus 4 times q is 20.
1
2
Half of the sum of f and y is
f minus 5.
s squared minus n squared is
twice b.
Write a problem based on the given information.
Glencoe Algebra 1
17. c cost per pound of plain coffee beans
c 3 cost per pound of flavored coffee beans
2c (c 3) 21
Sample answer: The cost of two pounds
of plain coffee beans plus one pound of
flavored beans is $21. How much does
1 pound of plain beans cost?
Glencoe/McGraw-Hill
Sample answer: The cost of two
adult’s tickets and 4 children’s
tickets to the zoo is $38. How
much is an adult’s ticket?
8 minus 6 times x is 4 plus
2 times x.
16. s2 n2 2b
15. ( f y) f 5
139
Answers
5
11. 2(m n) v 7 Twice the quantity
m minus n is v plus 7.
12. a cost of one adult’s ticket to zoo
13. c regular cost of one airline ticket
a 4 cost of one children’s ticket to zoo 0.20c amount of 20% promotional discount
2a 4(a 4) 38
3(c 0.20c) 330
14. 8 6x 4 2x
4 times the sum of a and b
is 9 times a.
©
of y squared and x is 18.
3
Two more than of t equals t.
Write a problem based on the given information.
12. 2p 4q 20
g plus 10 is the same as
3 times g.
10. 9(y2 x) 18 9 times the sum
3
5
9. t 2 t
18. p cost of dinner
0.15p cost of a 15% tip
p 0.15p 23
Sample answer: The cost of
dinner plus a 15% tip was
$23. How much was the
dinner?
Glencoe Algebra 1
Sample answer: The cost of three
airline tickets that are discounted
20% is $330. What is the regular
cost of a ticket?
14. GEOGRAPHY About 15% of all federally-owned land in the 48 contiguous states of the
United States is in Nevada. If F represents the area of federally-owned land in these
states, and N represents the portion in Nevada, write an equation for this situation.
0.15F N
FITNESS For Exercises 15–17, use the following information.
Deanna and Pietra each go for walks around a lake a few times per week. Last week,
Deanna walked 7 miles more than Pietra.
15. If p represents the number of miles Pietra walked, write an equation that represents the
total number of miles T the two girls walked. T p (p 7)
16. If Pietra walked 9 miles during the week, how many miles did Deanna walk? 16 mi
17. If Pietra walked 11 miles during the week, how many miles did the two girls walk
together? 29 mi
©
Glencoe/McGraw-Hill
140
Glencoe Algebra 1
(Lesson 3-1)
A3
10. The volume V of a rectangular prism equals the product of the length , the width w,
and the height h. V wh
C pg
7. The sum S of the measures of the angles of a polygon is equal to 180 times the difference
of the number of sides n and 2. S 180(n 2)
Pabc
9. The area A of a circle is pi times the radius r squared.
K 273 C
6. The total cost C of gas is the price p per gallon times the number of gallons g.
A s2
8. The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
r4
x 2) 32
Answers
7. The area A of a square is the length of a side s squared.
11. g 10 3g
____________ PERIOD _____
Writing Equations
Writing Equations
Lesson 3-1
Glencoe/McGraw-Hill
NAME ______________________________________________ DATE