Download (1-2) - Solving Multistep Equations


ID: 1
(1-2) Solving Multistep Equations
Name___________________________________
©V E210z1B36 DK8uttaav oSHojf7tawyaGrXew oLcLBCl.k w JAlltlW Erliagrh3tLsQ irieWsRexr9vyeFdy.p
Solve each equation.
1)
3)
5)
7)
nn
p p
rr
 x


9)
 x x


2)
4)
6)
8)
aa
bb
nn
 x x

 
10)
v   v



11) ( x) x
12) (n)n
13) (n)
14) ( p) p
15)  x( x)
16) (r)rr
17) (n)n
18) ( p) p
19) nn(n)(n)
20) (v)(v)
21)  x( x)
22) (b)(b)
Solve each proportion.
23)
 x



24)
 n



25)
k 


k
26)
 x


x
Write the answer to the problem in terms of the variable.
27) The product of two numbers is 9. One of the
numbers is k. What expression represents the
other number?
28) Two numbers have a sum of 26. One of the
numbers is r. What expression represents the
other number?
Solve each problem.
29) If 2 is added to five times a number, the
result is equal to 5 more than four times the
number. Find the number.
30) If 2 is subtracted from a number and this
difference is tripled, the result is 6 more then
the number. Find the number.
31) The sum of three times a number and 7 more
than the number is the same as the difference
between -11 and twice the number. What is
the number?
32) Find the measure of an angle whose
complement is four times its measure.
33) Find the measure of an angle whose
supplement measures 39 degrees more than
twice its complement.
34) Find the measure of an angle such that the
difference between the measures of its
supplement and three times its complement is
10 degrees.
35) Find two consecutive even integers such that
the lesser added to three times the greater
gives a sum of 46.
36) When the lesser of two consecutive integers
is added to three times the greater, the result
is 43. Find the integers.
©i e2W0v1k3l 7K8uFt2aT FSuoWfEtcw7a7rNeu kLgL8Ch.L l 0AmlUlt SrkiGgWhDtNsE ZrzeXsPevrXvwe9d3.s 0 aMJaTdjef swNirtehr uIznvfbiKnZi0t5eC YASldgqecbrrOa2 s1O.Y
Worksheet by Kuta Software LLC

Answers to (ID: 1)
1) 
5) 

9) 

13) 
17) 
21) No solution.
 
25)
28)
31)
33)
35)
 
2) 
6) 

10)

14) 
18) 
22) 
 
 
3) 
7) 
11) 
4) 
8) { All real numbers. }
12) 
15) 
19) 

23)

27) x •k = 9 ; x = 9/k
16) 
20) 
24) 
 


26)


x + r = 26 ; x = 26 - r
29) 2 + 5x = 4x + 5 ; x = 3
30) 3(x - 2) = x + 6 ; x =6
3x + (x + 7) = -11 - 2x ; x = - 3
32) x + 4x = 90 ; x = 18 degrees
180 -x = 2(90 - x) + 39 ; x = 39 degrees
34) 180 - x - ( x) = 10 ; 50 degrees
x + 3(x + 2) = 46 ; x = 10 & 12
36) x + 3(x + 1) = 43 ; x = 10 & 11

©I f2N0x113g cKnuRt0aP DSqovfwtJw0aorSej eLRLmC1.8 f gAYlclg OrpiagOhttnsL SrEecsPeMrevkeKda.c 9 RMTahdxeQ GwKi3tbhv rIsnWfFi7nIi4tieb PANlcghezbwrzaI E1p.k
Worksheet by Kuta Software LLC