Evaluate
Evaluate:
3(2) + 4/2
3(2) + 4/2
6 + 2
= 8
Simplify the expression:
-4a + 6b + 4a + b
-4a + 6b + 4a + b
6b + b
7b
Solve for the variable:
3(x + 1) = 4
3(x + 1) = 15
3x + 3 = 15
3x = 12
x = 4
Ava had 6 honey crisp apples. Ava ate 1 apple for lunch and 2 apples fell out of her backpack on her way home from school. How many apples does Ava have?
Ava has 3 apples.
What does PEMDAS (Please Excuse My Dear Aunt Sally) stand for?
Order of operations:
Parentheses
Exponents
Multiply/Divide - from left to right
Add/Subtract - from left to right
Evaluate the expression:
-4 + 5 x 2
-4 + 5 x 2
-4 + 10
= 6
Simplify:
2x - 4y + y - 2x + 3
2x - 4y + y -2x + 3
-3y + 3
Solve for y:
-3x + y = 21
-3x + y = 21
y = 21 + 3x
Tommy had $700 saved up, and worked 36 hours this week. James had $70 saved up and worked 43 hours this week. At the end of the week, they had the same amount of money. How much do they make an hour?
700 + 36h = 70 + 43h
700 = 70 + 7h
630 = 7h
90 = h
They make $90 per hour.
When is the last day to turn in missing homework for Unit 1a?
Oct. 4th
Evaluate:
3 + (6-4)2 x 2
3 + (6-4)2 x 2
3 + (2)2 x 2
3 + 4 x 2
3 + 8 = 11
Simplify:
12 - 15b -(-6) + 3b - b
12 - 15b -(-6) + 3b - b
12 - 15b + 6 + 2b
18 - 13b
Solve for the variable:
3(1 - 2x) + 3 = -2(x - 5)
3(1 - 2x) + 3 = -2(x -5)
3 - 6x + 3 = -2x + 10
6 - 6x = -2x + 10
6 - 4x = 10
- 4x = 4
x = -1
Randy needs to have $900 to pay for his car repair. He already has $60 and is planning to save $40 each week. How many weeks until he has enough money to repair his car?
60 + 40w = 900
40w = 840
w = 21 weeks
Solve:
4e + 15 = e + 15 + 3e
4e + 15 = e + 15 + 3e
4e + 15 = 4e + 15
15 = 15
infinitely many solutions
Evaluate:
2[4 - 6(-1+2)]2
2[4 - 6(-1+2)]2
2[4 - 6(1)]2
2[-2]2
8
Simplify:
20x - 3(5 - x) - 6x + x2
20x - 3(5 - x) - 6x + x2
20x - 15 + 3x - 6x + x2
x2 + 17x - 15
Solve for h.
-4x + 8h = 16
-4x + 8h = 16
8h = 16 + 4x
h = 2 + 1/2x
A local snowboarding club has 36 students this year with the number increasing at a rate of 4 students per year. A local skiing club has 102 students but it is decreasing by 2 students per year. After how many years will the two clubs have the same number of students?
36 + 4s = 102 - 2s
36 + 6s = 102
6s = 66
s = 11 students
Solve:
2𝑥 + 3𝑥 − 5 = 5(𝑥 + 1)
2𝑥 + 3𝑥 − 5 = 5(𝑥 + 1)
5x - 5 = 5x + 5
-5 = 5
no solution
Evaluate:
x2y3 - 3xy when x=-4, y=3
(-4)2(3)3 - 3(-4)(3)
= 16 x 27 -3(-4)(3)
= 16 X 27 + 12 x 3
= 432 + 36
= 468
Simplify the expression:
-5x2 + 4 - x + x2 + 3x - 4
-4x2 + 2x
Solve for the variable:
2 -(3p - 2) + 5p = -2(5p + 1)
2 -(3p - 2) + 5p = -2(5p + 1)
2 - 3p + 2 + 5p = -10p -2
4 + 2p = -10p - 2
4 + 12p = -2
12p = -6
p = -1/2
Tony's gym charges a yearly membership fee of $180 dollars plus $6 per month. Tressa's gym charges a yearly fee of $160 plus $8 per month. After how many visits will the membership cost the same.
180 + 6m = 160 + 8m
180 = 160 + 2m
20 = 2m
m = 10
What does the acronym DCVAM (Do Canadians Vacuum At Midnight) stand for?
Used to solve equations.
Distribute
Combine like terms
Variables on same side
Add/subtract
Multiply/divide