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Linear Equations
Linear Equations
Linear Inequalities
Linear Inequalities
Strategies
100
What is the solution to x - 2 = 0 ?
x = 2
100
What is the solution to x + 3 = 1 ?
x = -2
100
What is the solution to x - 2 > 0 ?
x > 2
100
What's the solution to x - 3 < 0 ?
x < 3
100

What is the order of operations we use to solve linear equations and inequalities?

SADMEB

200
Find the value of x that satisfies 2x - 1 = 4.
x = 5/2
200
Find the value of x that satisfies 3x - 1 = -2.
x = -1/3
200
Solve the inequality: 3x - 2 < 0
x < 2/3
200
Solve the inequality: 5x + 1 > 0
x > -1/5
200

When graphing an inequality, what does a solid circle mean?

That it can be equal to the number circled

300
Solve: 4n - 2n = 4
n = 2
300
Solve: -1 = -3r + 2r
r = 1
300
Solve: 4x + 1 - 1 > -8
x > -2
300
Solve: -1 < 2n + 4 - 5
n > 0
300

When we have multiple terms with variables on one side of an equation, how do we start solving?

Combine Like Terms

400
Solve for r: -3(1+6r) = 14 - r
r = -1
400
Solve for n: -16 + 5n = -7(-6 + 8n) + 3
n = 1
400
Solve for a: -5(1 - 4a) > -5
a > 0
400
Solve for b: -2(b+1) + 4 < 10
b > -4
400

When there are variables on opposite sides of an inequality, what's the best strategy?

Subtract the smaller term from both sides

500
Solve the equation: 10p + 9 - 11 - p = -2(2p + 4) - 3(2p - 2)
p = 0
500
Solve the equation: 10(x + 3) - (-9x - 4) = x - 5 + 3
x = -2
500
Solve the inequality: -6(1+2x) > 6(2x - 1) + 2x
x < 0
500
Solve: -2(1 - 5x) > -(x + 1) - 1
x > 0
500

What needs to be done when dividing an inequality by a negative number?

Flip the sign