Algebra 1 SOL A.4 Equations Worksheet
Mr. Hannam
Name: ______________________________________ Date: _____________ Block: _______
How to Solve Equations
1) Clear parentheses (distribute) and combine like terms if necessary
2) Add/subtract variable terms so that variable is on one side of equation
3) Do add/subtract steps
4) Do multiply/divide steps
5) ALWAYS VERIFY SOLUTIONS BY PLUGGING BACK INTO ORIGINAL EQUATION
6) Sometimes there may be no solutions or all real numbers are solutions.
Solve the equations, justifying steps with the field properties of equality. Verify solutions.
x
 7  28
3
1) 2x + 3 = 15
2) -3x + 5 = 35
3)
4) 3(x – 9) = 30
5) -2(12 – 2x) = 18
6) 8x = 5x + 30
Solve the equations. Verify solutions. If there is no solution, write “no solution”; if all real
numbers are solutions, write “all real numbers.”
7) 5x – 3 = 3x + 7
8) 9x – 10 = 34 – 2x
9) 6x + 5 – 2x = 4 + 4x + 1
10) 11 + 3x – 7 = 6x + 5 – 3x
11) 9 = 3(5x – 2)
12) 6x – (3x + 8) = 16
Algebra 1 SOL A.4 Equations Worksheet
Mr. Hannam
Translate the expressions and solve the resulting equation.
13) Ten times a number increased by 5 is 75.
14) The quotient of twice a number and 3 is 6.
15) Eight less than five times a number is 42.
16) The product of four and the quantity 2 less than a number is 16.
Solve the word problems.
17) One day 197 Eagle Ridge students went on a field trip. Five busses were filled with the
same number of students, and two students traveled separately by car. How many
students were on each bus?
18) You bought a comic book for $3 and 4 of the same kind of pens. You spent a total of
$11. How much did each pen cost?
19) The sum of three consecutive numbers is 72. What is the smallest of these numbers?
20) The sum of three consecutive even numbers is 48. What is the smallest of these
numbers?