Solving Equations
Solve and check:
7x - 4x + 21 = 15
x=-2
Which of the following equations has no solution?
A. -6x+5 = 0
B. 4x-9 = 4x+12
c. -8x+1 = -8x+1
D. 3x-5 = 7x
B.
Joey is picking apples at a rate of 20 apples per hour
3 hours later, his sister, Kat, joins, and she picks at a
rate of 25 apples per hour.
1. Let x be the number of hours since Joey started
picking apples. In terms of x, how many hours has
Kat been picking apples?
a. x
b. x+3
c. x - 3
d. 3x
c.
What is the difference between
-62 and (-6)2
The difference is that
Solve show answer in interval notation.
2x+3>9
x>3
(3, infinity)
Solve and check:
7(2-k)= 3(k+8)
k=-1
Solve and Check
5.3-4.8x=1.3x-52.7
x=9.5
Joey is picking apples at a rate of 20 apples per hour.
3 hours later, his sister, Kat, joins, and she picks at a
rate of 25 apples per hour.
2. Write an expression for the number of apples Joey
has picked.
a. 20x
b. 25x
c. 20x -3
d. 20(x-3)
A.
Simplify using order of operations:
30รท3(5)
----------------
-6-(-1)
-2
Solve. Give answer in interval notation.
2(-3x-10) < 16
x>-6
(-6,infinity)
Solve and Check:
4(c+3)-(c-1)=64
c=17
Solve For Y
10x-5y=20
y=2x-4
Joey is picking apples at a rate of 20 apples per
hour. 3 hours later, his sister, Kat, joins, and she
picks at a rate of 25 apples per hour.
3. Write an expression for the number of apples
Kat has picked.
a. 25x - 3
b. 25(x-3)
c. 25x
d. 20(x-3)
B.
Evaluate the expression if y = -4:
10y - y2
24
Solve
7x-15 <or= -3(x-10) + 5
x <or= 5
(-infinity,5]
Solve and Check:
20-3p=4(-p+3)
p=-8
Solve for d:
(df + bc)/w = x
(xw - bc)/f
Joey is picking apples at a rate of 20 apples per hour. 3 hours later, his sister, Kat, joins, and she picks at a rate of 25 apples per hour.
4. Write an equation that represents when Joey and Kat have picked the same number of apples. How long has Joey been picking when they have picked the same number of apples?
20x=25(x-3)
Solve the equation:
10 - x = 30
x=-20
Solve:
7 - (3x+2) > -28
x<11
(-infinity,11)
Which of the following equations
has a solution of all real numbers?
a. -6x+5 = 0
b. 4x - 9 = 4x + 12
C. -8x + 1 = -8x+1
d. 3x - 5 = 7x
C.
Solve for X:
2jkx=6j
x=3/k
Jack has a pile of 250 pieces of Halloween candy. He eats 8 pieces a day and has promised his Mom that he will donate the rest when he has at least 25 pieces left. How long could his candy stash last? Write an inequality to represent this situation and solve.
250-8d>25 d=days
His candy will last at most 28 days.
How would you show a solution of x is greater than or equal to -7 on a number line?
Closed circle on -7 and an arrow to the right.
5 - 2(x+1) < 4x +7
x>-2
(-2, infinity)