Math 3.1
Vocabulary
Vocabulary
This is a letter or symbol that represents an unknown number that can change in an algebraic expression.
Variable
5r - 6 + r - 9
6r - 15
A movie theater sells tickets for x dollars each and charges a snack fee of 5 dollars. Later, they add another fee of x dollars and remove a 2 dollar coupon.
Write and simplify an expression for the total cost.
Expression: x + 5 + x - 2
Simplified: 2x + 3
(12x + 15) + (9x - 8)
21x + 7
b - 6 = -14
b = -8
What are the vocabulary words for this lesson?
Tectonic plates
Plate boundary
Plate tectnics
Convection current
The (first and last) names of the main characters of Hidden Figures are...
Katherine Johnson, Dorothy Vaughn, and Mary Jackson
This is a term in an expression that has no variable attached to it.
Constant
-6(4 - 4m) + 2
-22 + 24m
A student buys y notebooks and then buys 2 more notebooks. Each notebook costs 3 dollars, and they use a 4 dollar coupon.
Write and simplify an expression for the total cost.
Expression: 3y + 2(3) - 4
Simplified: 3y + 2
(40m - 22) - (16m + 31)
44m - 53
Write the word sentence as an equation, then solve (2 answers required).
5 more than a number y is -2.
y + 5 = -2; y = -7
Matching fossils found on different continents suggest that these landmasses were once...
Joined together/connected.
What was the name of the NASA mission/space craft that was focused on in the movie?
Friendship 7
This is the number that multiplies the variable in a term like 7x or −3y.
Coefficient
3.7x + 6.1(x + 8.1)
9.8x + 49.41
A gym charges m dollars per month and a one time fee of 6 dollars. In the second month, they add another m dollar charge and give a 1 dollar discount.
Write and simplify an expression for the total cost.
Expression: m + 6 + m - 1
Simplified: 2m + 5
2(3.5x + 4) + (6.2x - 7)
13.2x - 3
-6.4 = x + 4.3
x = -10.7
This process forms new ocean floor when magma rises, cools, and hardens along a long crack in Earth’s crust.
Sea-floor spreading
"I WORK LIKE A DOG, DAY AND NIGHT, DRINKING FROM A __________ NOBODY WANTS TO TOUCH."
coffee pot
These are parts of an algebraic expression that are separated by addition or subtraction signs.
Terms
-9(-2x + 10) + 8(x - 9)
26x - 162
The temperature rises by 15t degrees in the morning and by 20 more degrees in the afternoon. Then it drops by 6 degrees at night.
Write and simplify an expression for the total change in temperature.
Expression: 15t + 20 - 6
Simplified: 15t + 14
(9.6 - 2b) + 4(3.5b - 1)
12b + 5.6
Write the word sentence as an equation, then solve (2 answers required).
-13 is 4 less than a number n.
-13 = n - 4; n = -9
What is the name of the supercontinent that scientists believe once existed?
Pangaea
Who was present when Jim Johnson proposed to Katherine?
Katherine's mom and three children/daughters
This describes an expression that has no like terms and no parentheses.
Simplest form
3.7(1 - 7.8r) + -3.9(2r + 1.38)
-1.682 - 36.66r
A student reads 6r pages on Monday and 4r pages on Tuesday. On Wednesday, the student reads 18 more pages but forgets to record 5 pages.
Write and simplify an expression for the total number of pages recorded.
Expression: 6r + 4r + 18 - 5
Simplified: 10r + 13
5(1.4m + 6) - 3(2.6m - 7)
-0.8m + 51
Write an equation that matches the word problem, then solve (2 answers required).
Your mother asked you to turn the oven down to 325°F. This is 75°F less than it was. What was the original temperature?
325 = t - 75; t = 400
What is the name of the bone in our hip region, and what two genetic changes allow us to walk upright?
ilium; it shifted 90 degrees and took more time to harden into bone.
Name one scene in the movie where a character had to face and/or overcome a challenge of equality to make scientific advancements.
Katherine holding the calculations up to the light; Katherine requesting to enter a meeting room, although they did not allow women; Dorothy Vaughn sneaking into the IBM room to work on the machine; Dorothy Vaughn demanding her computers from the west wing work in the IBM room as well when she was promoted; Mary jackson applying to engineer school as a woman of wolor; Mary Jackson fighting to attend the all white school in court; Mary Jackson being the only female in the engineer class