Equations
Solve for x.
3(x – 2) – 5x = -2x – 6
All Real #'s
Solve the inequality and graph it on a # line.
3 < x + 7 < 11
-4 < x < 4
(see graph)
Evaluate f(3) if
f(x) = x2
9
Find the equation of the line that passes through the points (-6, 4) and (-3, -2)
y = -2x - 8
How many solutions does the following system have?
y = 2x -5
15 + 3y = 6x
Infinitely Many
Solve for x.
3(x + 4) – x = 2(x – 6)
No Solution.
Solve and graph the compound inequality on a # line.
5x-5 > -7x -5 or 3x + 5 x -1
x </= -3 or x > 0
(See Graph)
Evaluate h(x) = -4(x + 3)
Find X if h(x) = -8
x = -1
Write the equation of the line that is parallel to 2x – 3y = 9 and passes through the point (-2, -4)
y = 2/3x - 8/3
Solve using any method:
y = 7 - 2x
-2x - y = 6
No Solution
Solve for W
3/4w + 8 = 1/3w – 7
36
Graph the system of Inequalities.
12 - 3x </= 2y
-12 + 3x>3y
See Graph
What is the domain and range of the function:
(see graph)
Domain: (-infinity, infinity)
Range: (-infinity, infinity)
The graph of the equation 2x + 6y = 4 passes through point (x, -2). What is the value of x?
x = 8
Solve the system using any method:
-2x + 16y = -34
x - 8y = 17
Infinite Solutions
Pennie, Sarah, and Tanya are on the same basketball team. Pennie scored twice as much as Sarah and Tanya scored three less than Sarah. If they scored 37 points in all, how many did they each score?
Pennie = 20
Sarah = 10
Tanya = 7
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
200 </= 500 - 25x
x </= 12
What is the domain and range of the function:
(see graph)
Domain: (-infinity, infinity)
Range: [0, infinity)
Write an equation of the line that is perpendicular to the line y = -½x + 5 and passes through the point (6, -10)
y = 2x - 22
Solve using any method:
4y -12x = -8
3x = y + 2
Infinite solutions
Solve for M.
32(m – 3) + 5 - 54m = 14(m + 1) – 3
No Solution
The points (2, 5) and (-3, -5) lie on the line formed by an inequality. The points (2, 5) and (0, 0) are both included in the solution set. Graph the write the inequality.
(see graph)
Evaluate f(8) + g(h(2)) if
f(x) = 2x
g(x) = 2x - 4
h(x) = -4(x + 3)
-28
Kyle wants to buy a large pizza. The large pizza plain cost $18. It then costs $2 for each topping he adds.
Write an equation to represent this situation.
What is the total cost of the pizza, if he gets 7 toppings?
If Kyle only has $30, what is the largest amount of toppings he can add?
1. y = 18 + 2x
2. #32
3. 6 toppings
At a recreation facility, 3 members and 3 non-members pay a total of $180 to take an aerobics class. A group of 5 members and 3 non-members pay $210 to take the same class. How much does it cost members and nonmembers to take an aerobics class?
members = $15
non-members = $45