Day 12 Translating Expressions & Equations.notebook
9/27
Aim: How do we translate verbal expressions and equations?
Do Now: Finish Pg. 31 Hw: Pgs. 3­4
September 27, 2016
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
10) You scored 88, 92, and 87 on three tests. Write and solve an equation to find the score you need on the fourth test so that your score is 90.
Day 12 Translating Expressions & Equations.notebook
24x = 12(x + 5)
24x = 12x + 60
­12x ­12x
12x = 60
12 12 x = 5
1(3x ­ 4) = 8
3x ­ 4 = 8
+4 +4
3x = 12
3 3 x = 4
September 27, 2016
15(x ­ 3) = 5(x + 5)
15x ­ 45 = 5x + 25
­5x ­5x
10x ­ 45 = 25
+45 +45
10x = 70
10 10 x = 7
5x = 4(x + 1)
5x = 4x + 4
­4x ­4x
x = 4
Day 12 Translating Expressions & Equations.notebook
(x + 6)2 = 4
x + 6 = 2
x = ­4
no solution
September 27, 2016
­ 6 ­ 6
2 x = 4
5 x = 10
(x + 6)2 = 4
x + 6 = ­2
x = ­8
2x ­ 3 = 2x ­ 3
infinite solutions
5x + 6 = ­5x + 6
one solution
7x3 ­ 5x2 + 8x ­ 6
Day 12 Translating Expressions & Equations.notebook
add
plus
sum
less than
difference
per
product
decreased by multiply
fewer
triple
increased by minus
times
more than
subtract
twice
every
for each
September 27, 2016
quotient
half
divided by
same as
is
equal to
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
Translate each verbal sentence into an algebraic expression.
1) Twice a number decreased by five.
2) Three times a number increased by ten.
3) Five more than the product of a number and eight.
4) Six less than triple a number.
5) The quotient of a number and ten minus four.
6) Five times the sum of a number and seven.
7) Four times the difference of twice a number and one.
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
8) Each of the 13 stripes of a flag is w inches wide. Express the width of the entire flag.
9) Frank owns x books and Sara owns one more than twice as many. What algebraic expression represents the number of Sara’s books?
10) The altitude of a triangle in inches is 3 less than the number of inches in its base. Use b to represent the base, write an expression to represent the altitude.
11) A notebook costs 98 cents more than a pencil. Represent the cost of half a dozen pencils and 3 notebooks.
12) Bill is twice as old as Joyce and Sam is 5 years older than Bill. If Joyce is n years old…
a) Write an expression to represent Bill’s age.
b) Write an expression to represent Sam’s age.
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
Translate each verbal sentence into an algebraic equation.
13) Four more than six times a number is sixteen.
14) Three less than twice a number is twenty three.
15) The product of a number and five increased by seven is thirty two.
16) Ellen buys some apples for $0.75 each plus soup for $2.50 for a total of $6.25.
17) Jacob purchased some movie tickets for $9.75 per ticket and snacks for $10, he spent a total for $29.50.
Day 12 Translating Expressions & Equations.notebook
September 27, 2016
18) Twice a number increased by one is equal to four times a number decreased by nine.
19) The product of six and a number is equal to four less than twice a number.
20) Three more than ten times a number is equivalent to twelve less than the product of the number and five.
21) Five times the sum of a number and two is twenty.