State whether the following is a function:
Input Output
1 2
5 3
6 4
7 5
Yes this is a function. There is only one output for each input.
100
Solve:
5 x 3 x 2 =
30!
100
What is the slope of the following equation:
y = 3x + 4
3! Remember y = mx + b. M = slope
100
Solve: 3x > 4
x > 3/4. Divide both sides by 3.
100
Solve: 6(x + 2)
6x + 12. 6 x X then 6 x 2
200
Solve the following function when x=2:
f(x) = 3x + 4
f(10) = 10
Think of it this way f(x) = 3(2) + 4
f(x) = 6 + 4
f(x) = 10
200
Solve:
(7 x 5) / 5
7! Do the ( ) first and then divide by 5
200
Find the slope given the two ordered pairs: (3, 6) (9, 12)
6/6 = 1 y2 - y1 / x2 -x1
200
Solve: -4x + 3 < 11
x > -2. subtract 3 from both sides. then divide by -4. Don't forget to switch the inequality sign!
200
Solve: 3(2 + 7n)
6 + 21n. 3 x 2 then 3 x 7n
300
State whether the following is a function:
Input Output
2 3
3 2
4 3
3 2
Yes! There is only one output for each input. The output for both 3's is 2.
300
Solve:
7 + 10 x 5 + 10
67! Multiply 10 x 5 first and then add 7 and 10.
300
Find the slope of the line: 4x + 2y = 6
-2. Put the equation in slope intercept form.
300
Solve for y: 4x + 2y < 12
y < -2x + 6. Subtract 4x from both sides. Then divide by 2.
300
-5n + 3(6 + 7n)
18 + 16n. 3 x 6. then 3 x 7n. then combine like terms
-5n + 21n.
400
Solve the following function when x = -4 and x = 3
h(x) = 3 + 4(x) - 7
f(-4) = -20
f(3) = 8
Just plug in each number for x and solve them both.
400
Solve:
(2 + 6 x 2 + 2 - 4) x 2
24! Multiply 6 x 2 first then add 2 + 2 - 4 then multiply 2.
400
Given the following write an equation in slope-intercept form: (4, 1) (6, 2)
y = 1/2 x -1....Find the slope first. Then plug in x and y from one of the ordered pairs to find b. Then you can write your equation.
400
Solve: 2x + 3x - 4 < -2x +17
x < 3. First combine like terms 2x + 3x. Then + 2x to both sides. Then add 4 to both sides. Then divide both sides by 7.
400
Distribute: -10(1 - 9x) + 6(x - 10)
96x - 70. We'll do this one on the board.
500
If a vertical line passes through the line on a graph more than one time, is it a function?
No! The vertical line can only pass through the line on the graph one time to be a function.
500
Solve:
(6-4) x 49 / 7
14! Do the parenthesis first, then multiply 49 then divide by 7.
500
If slope is the rate of change and b is the constant, what an equation in slope-intercept form for a car driving 40 mph that increases it's speed when it gets on the freeway to 65mph.
y = 25x + 40
500
Is this solution true: 4 < 3x - 2. When x =2
no 4 is not less then 4. First plug in 2 for x. 4 < 3(2) -2.
Then 4 < 6 - 2. 4 < 4 WRONG!