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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.
Q 1: What is an equation that contains one or more variables called?
false equation
true equation
open equation or variable equation

Q 2: What is a number that replaces a variable to make a variable equation true called?
answer
false
solution

Q 3: Rewrite 4*3+4*7 using the distributive property.
3*(4+7)
4*(3+7)
7*(3+4)

Q 4: Which number can be distributed in: (5+7+a)*8
8
a
5
7

Q 5: Is 7 a solution to the equation v + 4 = 12?
no
yes

Q 6: Identify the property used in: 1 * 6 = 6
multiplicative identity
additive property
associative property
distributive property

Q 7: Identify the property used in: a + 6 = 6 + a
commutative property of addition
associative property of multiplication
associative property of addition

Q 8: What is a mathematical sentence with an equal sign called?
solution
equation
expression

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Question 10: This question is available to subscribers only!


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