3.1 Writing Equations. WARM UP. Write the following verbal expressions as algebraic expressions: 1) The difference of twice a number x and 4. 2) 3 times a number y less than twice the sum of a number x and 5 Write the following algebraic expressions as a verbal expression.
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Write the following verbal expressions as algebraic expressions:
1) The difference of twice a number x and 4.
2) 3 times a number y less than twice the sum of a number x and 5
Write the following algebraic expressions as a verbal expression.
3)3 + 4n
4) 5 (x + 1) – 12
1)Five times the number a is equal to three time the sum of b and c.
2)Nine times y subtracted from 95 equals 37.
3)The product of five and the sum of m and n is the same as seven times n.
4)Two times a number t decreased by 8 is identical to seventy.
5a = 3(b+c)
95 – 9y = 37
5(m + n) = 7n
2t – 8 = 70
EXAMPLE: Today, 2,000,000 gallons of ice cream are produced in the United States each day. How many days can 40,000,000 gallons of ice cream be produced in the United States?
STEP 2: PLAN THE SOLUTION
Know: 2,000,000 gallons of ice cream are produced in US each day.
Want to Know: how many days it will take to produce 40,000,000 gallons of ice cream
Let d represent the number of days needed to produce the ice cream.
2,000,000 * d = 40,000,000
“What number of times 2,000,000 = 40,000,000?”
2,000,000d = 40,000,000
d = 20
20 days makes sense
1)The area of a triangle is equal to one half times the base times the height.
2)The perimeter of a rectangle equals two times the length plus two times the width.
A = ½ bh
A = 22
P = 2l + 2w
P = 24
3)The volume of a rectangular prism (box) is the same as the product of the length, the width, and the height.
4) The volume V of a sphere is four-thirds times times the radius r of the sphere cubed.
V = lwh
V = 60
V = 4/3 r3