Simple Equations and Inequalities
Functions
Slope Intercept/Linear Equations
Slope/Simplifying Equations
Systems of Equations and Inequalities
100
Solve: 2x + 2 = 18
x = 8
100
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
No
100
Algebra: What is the slope-intercept of a linear equation
Algebra: y= mx + b
100
Find the slope: 2(3x - y) = -10
3
100
Find the solution for this system of equations.
x+y =-4
7x+4y=-13
(1,-5)
200
Solve for x and graph your answer:
3x + 4 < 7
x<1
200
Algebra: simplify: 3(6wd - 3) + wd3
Algebra: 21wd - 9
200
Write the following equation in Standard form: 8/3y = 5/6x - 2
Hint: Multiply everything by 6 to get rid of denomintators
16y = 5x - 12
5x - 16y = 12
200
What is the slope of the following equation:
2x + 2y = 8
slope = -1
200
Solve the system by elimination:
4x + 2y = 8
3x + 3y = 9
(1, 2)
300
Solve: 3x + 3 - 2x = 21
x = 18
300
Algebra: Solve for a: ax + b = c
Algebra: a = (c - b)/x
300
Graph in slope intercept form
12x - 9y = 18
y = mx + b
9y/9 = 12x/9 - 18/9
y = 4/3x - 2
Graph ...
300
Which line in perpendicular to the equation given below? -9x = 15 - 3y
A. 6x + 2y - 8
B x - 3y = -3
C. 12x - 24 = 4y
D. 6y = 42 - 2x
3y/3 = 9x/3 + 15/3... y = 3x + 5
Perpendicular Slope = - 1/3 .... D
A. 2y/2 = - 6x/2 - 8/2 NO slope = -3
B. -3y-3 = -x/-3 -3/-3 No slope = 1/3
C. -4y/-4 = -12x/-4 +24/-4 NO = 3
D. 6y/6 = -2x/6 + 42/6 = YES
300
What is the first step to solving this system using substitition?
2x-2y=10
x-y=5
Solve one equation for either x or y
x = y + 5 OR y = x - 5
2(y + 5) - 2y = 10
2y + 10 - 2y = 10
10 = 10
400
Solve: 4x - 5 - 3x + 2 - 2x = 9
x = -12
400
Given the functions below, find b(-4) - a(10)
a(x) = |13 - 2x| ; b(x) = 8x - 14
a(10) = |13 - 2(10)| = |-7| = 7
b(-4) = 8(-4) - 14 = -32 - 14 = -46
-46 - 7 = -53
400
Simplify: -4(3x - 2) -2(4 + 3x)
-12x + 8 - 8 - 6x
-18x
400
Simplify: 22p - 7p + 19 - 15 - 12
15p - 8
400
Give one possible solution for this system of inequalities.
x+y>-4
7x+4y<-13
500
Solve: 21 + x = 2(x - 6)
x = 33
500
Evaluate this function:
F(x) = (-4x+17)/3 for F(2)
F(2)=3
500
Write an equation in slope intercept form that passes through the points (2, -2) and (-3, -17)
m = -17 - - 2/ -3-2 = -15/-5 ... m = 3
Choose pt (2, -2)
Use pt slope equation y - y1 = m(x - x1)
y + 2 = 3(x - 2) ... y + 2 -2 = 3x - 6 - 2
y = 3x - 8
500
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2
500
Write the system for this scenario.
If Milly works at the ice cream store for $10 an hour and the cookie shop for $12 an hour, how many hours does he need to work if he needs to make at least $120 per week? Also he can not work more then 15 hours a week.
x+y≤15
10x+12y≥120