Expressions & Formulas (Algebra 2)

Slide 2: Expressions and Formulas  Use the order of operations to evaluate expressions.  Use Formulas. 1) order of operations 2) variable 3) algebraic expression 4) formula

Slide 3: Expressions and Formulas Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute.

Slide 4: Expressions and Formulas Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute. V xd F They use the formula , where V is the volume of the solution in t milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes.

Slide 5: Expressions and Formulas Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute. V xd F They use the formula , where V is the volume of the solution in t milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes. Suppose a doctor orders 1500 milliliters of IV saline to be given over 12 hours. 1500 x 15 Using the drop factor of 15 drops per milliliter, the expression 12 x 60 gives the correct flow rate for this patient’s IV.

Slide 6: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60

Slide 7: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60 In order to find that value, you must follow the _________________.

Slide 8: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60 order of operations In order to find that value, you must follow the _________________.

Slide 9: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60 order of operations In order to find that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P E M D A S

Slide 10: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60 order of operations In order to find that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P lease E xcuse My D ear A unt S ally

Slide 11: Expressions and Formulas 1500 x 15 A numerical expression such as must have exactly one value. 12 x 60 order of operations In order to find that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P lease (parentheses / grouping symbols) E xcuse (exponents) My (multiplication – from left to right) D ear (division – from left to right) A unt (addition – from left to right) S ally (subtraction – from left to right)

Slide 12: Expressions and Formulas [2(10  4) 2  3]  5 Find the value of

Slide 13: Expressions and Formulas [2(10  4) 2  3]  5 = [2(6)2 + 3] ÷ 5 Find the value of = [2(36) + 3] ÷ 5 = [72 + 3] ÷ 5 = [75] ÷ 5 = 15

Slide 14: Expressions and Formulas   12 52  22 2  Find the value of 6 3

Slide 15: Expressions and Formulas   12 52  22 2  Find the value of 6 3 12  52  4 2  6 3

Slide 16: Expressions and Formulas   12 52  22 2  Find the value of 6 3 12  52  4 2  6 3 12 13 2  6 3

Slide 17: Expressions and Formulas   12 52  22 2  Find the value of 6 3 12  52  4 2  6 3 12 13 2  6 3 2 213  3

Slide 18: Expressions and Formulas   12 52  22 2  Find the value of 6 3 12  52  4 2  6 3 12 13 2  6 3 2 213  3 2 26  3

Slide 19: Expressions and Formulas   12 52  22 2  Find the value of 6 3 12  52  4 2  6 3 12 13 2  6 3 2 213  3 2 1 26   25 3 3

Slide 20: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities.

Slide 21: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions.

Slide 22: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations.

Slide 23: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. 1 Evaluate the expression ( x – y ) – 2wz, if w = 6, x = 0.4, y = , and z = – 3. 2 2

Slide 24: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. 1 Evaluate the expression ( x – y ) – 2wz, if w = 6, x = 0.4, y = , and z = – 3. 2 2 ( x – y )2 – 2wz = ( 0.4 – 0.5 )2 – 2(6)( -3 )

Slide 25: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. 1 Evaluate the expression ( x – y ) – 2wz, if w = 6, x = 0.4, y = , and z = – 3. 2 2 ( x – y )2 – 2wz = ( 0.4 – 0.5 )2 – 2(6)( -3 ) = ( – 0.1)2 – 12(– 3)

Slide 26: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. 1 Evaluate the expression ( x – y ) – 2wz, if w = 6, x = 0.4, y = , and z = – 3. 2 2 ( x – y )2 – 2wz = ( 0.4 – 0.5 )2 – 2(6)( -3 ) = ( – 0.1)2 – 12(– 3) = ( 0.01) + 36

Slide 27: Expressions and Formulas Variables _________ are symbols, usually letters, used to represent unknown quantities. Expressions that contain at least one variable are called algebraic expressions. You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. 1 Evaluate the expression ( x – y ) – 2wz, if w = 6, x = 0.4, y = , and z = – 3. 2 2 ( x – y )2 – 2wz = ( 0.4 – 0.5 )2 – 2(6)( -3 ) = ( – 0.1)2 – 12(– 3) = ( 0.01) + 36 = 36.01

Slide 28: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities.

Slide 29: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities. If you know the value of every variable in the formula except one, you can find the value of the remaining variable.

Slide 30: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities. If you know the value of every variable in the formula except one, you can find the value of the remaining variable. 14 in 6 in This shape is called a _________. 26 in

Slide 31: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities. If you know the value of every variable in the formula except one, you can find the value of the remaining variable. 14 in trapezoid 6 in This shape is called a _________. 26 in

Slide 32: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities. If you know the value of every variable in the formula except one, you can find the value of the remaining variable. 14 in trapezoid 6 in This shape is called a _________. 26 in The formula for calculating the area of a trapezoid is

Slide 33: Expressions and Formulas formula A _______ is a mathematical sentence that expresses the relationship between certain quantities. If you know the value of every variable in the formula except one, you can find the value of the remaining variable. 14 in trapezoid 6 in This shape is called a _________. 26 in 1 h b1  b2  The formula for calculating the area of a trapezoid is A  2

Slide 34: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 h b1  b2   A 26 in 2

Slide 35: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 1 h b1  b2   (6in)14in  26in  A 26 in 2 2

Slide 36: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 1 h b1  b2   (6in)14in  26in  A 26 in 2 2 1  (6in) 40in  2

Slide 37: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 1 h b1  b2   (6in)14in  26in  A 26 in 2 2 1  (6in) 40in  2  (3in) 40in 

Slide 38: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 1 h b1  b2   (6in)14in  26in  A 26 in 2 2 1  (6in) 40in  2  (3in) 40in   120in 2

Slide 39: Expressions and Formulas 14 in Find the area of the trapezoid: 6 in 1 1 h b1  b2   (6in)14in  26in  A 26 in 2 2 1  (6in) 40in  2  (3in) 40in   120in 2 The area of the trapezoid is 120 square inches.

Slide 40: Expressions and Formulas

Slideshare.net (beta)