X factor
x+15=42
27
What is the slope of a horizontal line?
0
When graphing
y < 2x+3, in what direction do you shade?
Below the line
Solve for x:
3(x+4)=3x+12
infinite solutions
A pool has 500 gallons and leaks at least 2 gallons per minute. How many minutes will it take for it to be completely empty?
250 minutes
3x+-7+4x=14
3
Write the equation for a line with the slope of 3 and a y intercept of -4
y=3x-4
When do you know to graph a solid or dashed/dotted line?
If the sign is equal to, its solid
if its just < or > its dashed/dotted.
What value would "k" have to be for there to be "no solution"?
5x-7=kx+10
5
In any linear equation like y=3x-10, which value stays the same no matter which two points you pick?
The slope
5x-3=2x+12
5
Find the discriminant of 2x^2 - 4x +5
-24
A system of inequalities has a solution area bounded by y > x and y < -x + 4. What quadrant do you shade in?
Quadrant 2
To solve this think of the < & > signs as an = sign. The plot the equations on the graph. EX: y=x this makes a line starting at 0 and with a slope of 1 (remember the invisible one in front of the x)
After plotting both pick any point in the graph and plug in the corresponding points. In order to find your answer such point must be true for both expressions.
2x+10=2(x+5)+x
2x+10=2x+10+x
x=0
DO NOT confuse with the option "no solution"
9x-5=49
9x=54
x=6
x/4 + 10 = 2
-32
A ball is thrown up; its height is h(t)=-16t^2 +64t. What is the maximum height the ball will reach?
64 ft
Solve for y to determine the slope and shading this inequality: 4x-2y≥12.
y≤2x-6
A function is defined as f(x)=1/x. What is the only value excused from its domain?
Zero
X can't equal zero. 1/0 is undefined/does not exist
A college has two depositional systems classes with a total of 237 students. One class has 45 fewer students than the other class. How many students are in each class?
x+y=237
y=x-45
x(x-45)=237
2x-45=237
2x=282
x=141
plug in 141 for x and you should get 96
Answer: 96,141
Solve for
3/x + 1/2 = 5/x
4
What is the vertex of the parabola
y=(x-4)^2 +7
(4,7)
Solve: -3x≥6
-3x≥6
divide by -3
x≤-2
Would a circle be considered a function when graphed?
No It does not pass the vertical line test.
A baseball team played 63 games and won twice times as many games as it lost. How many games did the team lose?
Hint: Let 𝑥 equal the number of games the team won and let 𝑦 equal the number of games the team lost. Write an equation for the number of games the team played
x+y=63
x=2y
2y+y=63
3y=63
y=21