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Date:___________________

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Grade 5 - Mathematics
1.5 Equations

  • Numeric expression: Is an expression with numbers.
    Example: 45 + 34
  • Numeric equation: Is a numeric expression equated to zero.
    Example: 45 - 45 = 0
  • Algebraic expression: Is an expression that contains both numeric and unknown variables.
    Example: x - 5
  • Algebraic equation: Is an algebraic expression equated to zero. Here you can solve for the variable.
    Example: x - 5 = 0
    x - 5 + 5 = 0 + 5
    Therefore x = 5
The following are the points to remember while solving an algebraic equation :
  1. We can add/subtract the same number to/from both sides of an equation.
  2. We can multiply/divide the same number to/by both sides of an equation.
  3. We can transfer the terms from one side to the other side after changing their signs.
Example: 2x - 5 = 31
Step 1: Adding 5 both sides 2x - 5 + 5 = 31 + 5
Therefore, 2x = 36
Step 2: Dividing both sides of the equation by 2 we get
x/2 = 36/2
Therefore, x = 18
Directions: Answer the following questions. Show your work on a sheet of paper. Also write atleast 5 examples of your own.

Name: ___________________

Date:___________________

Grade 5 - Mathematics
1.5 Equations

Q 1: What is a number that replaces a variable to make a variable equation true called?
solution
false
answer

Q 2: Which number can be undistributed in (b*f)-(c*f)-(d*f)?
d
f
c
b

Q 3: Rewrite 7*(a + b) using the addition and multiplication properties.
(a+b)*7
7*(b+a)
all the choices are correct
(b+a)*7

Q 4: The equation c + 2 = 8 is a _____ equation.
variable
true
false

Q 5: What is an equation that contains one or more variables called?
open equation or variable equation
true equation
false equation

Q 6: Is 7 a solution to the equation v + 4 = 12?
yes
no

Q 7: Which number can be distributed in: (5+7+a)*8
5
8
a
7

Q 8: Identify the property used in: a + 6 = 6 + a
associative property of multiplication
associative property of addition
commutative property of addition

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Question 10: This question is available to subscribers only!


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