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### Grade 5 - Mathematics1.5 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 : We can add/subtract the same number to/from both sides of an equation. We can multiply/divide the same number to/by both sides of an equation. 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 a number that replaces a variable to make a variable equation true called?falseanswersolution Q 2: Which number can be distributed in: (5+7+a)*8578a Q 3: Which number can be undistributed in (b*f)-(c*f)-(d*f)?dbfc Q 4: Rewrite 7*(a + b) using the addition and multiplication properties.(b+a)*7(a+b)*7all the choices are correct7*(b+a) Q 5: Rewrite 4*3+4*7 using the distributive property.3*(4+7)7*(3+4)4*(3+7) Q 6: Identify the property used in: 1 * 6 = 6associative propertyadditive propertydistributive propertymultiplicative identity Q 7: What is an equation that contains one or more variables called?true equationopen equation or variable equationfalse equation Q 8: The equation c + 2 = 8 is a _____ equation.variabletruefalse Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!