Simplify the expression 7(x - 3) - (4x + 5)
3x - 26
Evaluate f(2) if f(x)=-3x + 21
f(2) = 21
State the domain and range:
x | y |
3 | 7 |
5 | 9 |
3 | 8 |
D: {3, 5} R: {7, 8, 9}
Is it a function? Justify your answer. {(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
Determine the slope given the two points below.
(0, 2) and (3, 14)
Slope= 4
Create an equation in y=mx +b form to represent this scenario:
Aiden is saving money in a bank account. Aiden initially put 70 dollars into the account and plans on saving 22.50 each month.
y = 22.5x + 70
Evaluate f(7) if f(x)= -(4x+2)2
f(7) = -900
State the domain and range:
D: {1, 2, 3, 4, 5, 6} R: {-1, 0, 1, 2, 3, 6}
A function is defined as {(0,1),(2,3),(5,8),(7,2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?
1) (0,2) 3) (7,0)
2) (5,3) 4) (1,3)
(1, 3)
A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.
Refer to Picture 1
For which interval is the ball's height always increasing?
1. 0 ≤ x ≤ 2.5
2. 0 < x < 5.5
3. 2.5 < x < 5.5
4. x ≥ 2
Choice 1
Solve the inequality:
30 - 10x < 15 + 5x
Determine the smallest possible integer that satisfies this inequality.
x > 1
and
x = 2
Determine the x-value when f(x) = -13
x = 5
State the domain and range:
Domain: x is greater than or equal to -4 and Range: All Real Numbers
x | y |
2 | 4 |
1 | 5 |
2 | 6 |
Question 2
Choice 2
Brianna wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys s pounds of strawberries and r pounds of raspberries?
Create an inequality to represent this scenario.
1.60s + 1.75r is less than or equal to 10
Determine f(3) and f(7)
f(3) = -1
f(7) = 0
A dolphin jumps out of the water and then back into the water. His jump could be graphed on a set of axes where x represents time and y represents distance above or below sea level. The domain for this graph is best represented using a set of...
1) integers
2) positive integers
3) real numbers
4) positive real numbers
4) positive real numbers
Is the mapping chart shown a function. Fully explain your answer.
No because the input of a is mapped to two outputs.
Question 3
Choice 1
Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?
65 pounds of peaches