1) Determine whether 27 is a solution of the equation x – 16 = 13.
Yes
2) Determine whether 3 is a solution of the equation 9x + 7 = 30
No
3) Determine whether -8 is a solution of the equation 7(x-2) = -70.
Yes
4) Solving for x using the addition principle. Don’t forget to perform a check. x + 14 = -10
x = -24
5) Solve using the addition principle. Don’t forget to perform a check. x – 7 = 7 x = 14
6) Solve using the addition principle. Don’t forget to perform a check. x +
7) Solve using the addition principle. 2.4 = y-0.5
4
3
7

x=
13 13
13
y = 2.9
8) Solve using the multiplication principle. Don’t forget to check. 8x = 16
9) Solve using the multiplication principle. –x = 45
x=2
x = -45
10) Solve using the multiplication principle. Don’t forget to perform a check. -
x
9
4
x = -36
11) Solve using the multiplication principle. Don’t forget to perform a check. (Simplify your
2
6
answer. Type an integer or a fraction.)- x 
7
35
12) Solve. 4x + 10 = 34
x=6
13) Solve. 4x + 7 = 31
x=6
x= 
3
5
14) Solve using the principles together. Don’t forget to check. 4x – 13 = 7 x = 5
15) Solve. (Type an integer or simplified fraction.) -5x – 20 = -21
2
3
x=
1
3
16) Solve. (Simplify the answer. Type an integer or a decimal.) 5x + 7x = 84 x = 7
17) Solve. -6 – 7x = -65
x= 8
3
7
18) Solve. 10.8 – 3.7x = -127.8
x = 37
17
37
19) Solve using the principles together. Check the answer. 7y – 9 = 24 – 4y
y=3
20) Solve using the principles together. Check the answer. 5x – 3 = 6 + 14x
x = -1
21) Solve. Don’t forget to check. 5y – 10 + y + 26 = 5y + 20 – 3y
22) Solve. Clear fractions or decimals first.
7
1
18 5
x  x  3x   x
3
3
3 3
y=1
x= 
9
3
23) Solve. (Simplify the answer. Type an integer or a decimal. Round to the nearest tenth if
needed.) 3.4x – 2.68 = 1.36 – 6.7x
x = 0.4
24) Solve. (Simplify the answer. Type N if there is no solution. Type R if the solution is all
real numbers.) 7(5x -2) = 56
x=2
25) Solve. (Simplify the answer. Type N if there is no solution. Type R if the solution is all
real numbers.) 6 – 3(3x-2) = -15
x=3
26) Solve. (Simplify the answer. Type N if there is no solution. Type R if the solution is all
real numbers.) 6(x + 4) = 8(x – 2)
x = 20
27) Solve for the indicated letter. b = a + v, for a
28) Solve for the indicated letter. Qy = Rx, for x
29) Solve. What percent of 280 is 70?
30) 50% of what number is 25?
a=b-v
x=
Qy
R
25%
50
31) What is 75% of 780?
32) A basketball player completed 45.5% of his field goals in the most recent season. He
made 289 field goals. How many did he attempt? (Simplify the answer. Type an integer
or a decimal. Round to the nearest integer as needed.)
635
33) To finance her community college education, Sarah takes out a loan for $3300. After a
year, Sarah decides to pay off the interest, which is 8% of $3300. How much will she
pay?
264
34) An employee’s new salary is $20,370 after getting a 5% raise. What was the salary
before the increase in pay?
$19400