Determine the Number of Solutions of Equations
Determine whether the equation has one solution, no solution, or infinitely many solutions.
-8(s - 3) + 4 = 4(-s + 8) - 4s
no solution
solve the inequality.
x + 4 < 1
x < -3
solve the inequality.
2t < -6
t < -3
solve the inequality.
2x + 4 < 8
x < 2
Complete the equation so that it has infinitely many solutions.
2(x + 4) = __x + __
2x + 8
both expressions on each side of the equal sign must be the same for the equation to have infinitely many solutions
Determine whether the equation has one solution, no solution, or infinitely many solutions.
-12w + 15 = 2(-6w + 9) - 3
infinitely many solutions
solve the inequality.
7 - u > 10
u < -3
Solve the inequality.
-3y > 15
y < -5
solve the inequality.
3x - 6 > 12
x > 6
Complete the equation so that there is no solution.
7( 2x - 3) = __x + __
14x + 1
(You can add any constant doesnt have to be 1)
Variable terms must be the same on both sides of the equation.
Constant terms must be different on both sides of the equation.
Determine whether the equation has one solution, no solution, or infinitely many solutions.
-3(4 - 3h) = -10(1 - h) - 3h
one solution
solve the inequality.
3 < x - 9
12 < x
or
x > 12
solve the inequality.
-5a < -40
a > 8
solve the inequality.
-4x + 3 < -13
x > 4
What is one difference between and equation and an inequality.
1. equations have 1 solution, inequalities have infinitely many solutions.
2. equations use 'equal signs' (=), and inequalities use less than (<), greater than (>), greater than or equal to, or less than or equal to.
Complete the equation so that it has infinitely many solutions
5(6b - 3) - 3b = __b - __
(Your response should be 2 numbers.)
27b - 15
The expression on the each side of the equation needs to be the same for the equation to have infinitely many solutions.
solve the inequality.
t + 11 > -20
t > -31
solve the inequality.
-8v < 16
v > -2
solve the inequality.
7 < 8y + 23
y > -2
Student A is twice the age of student B. There difference in age is 5. What are student A's and Student B's age?
Student A age = 10
Student B age = 5
Complete the equation so that it has no solution.
9(2n - 4) + 6(n + 5)= __n + __
your response should be two numbers.
Solutions may vary
24n - 1
or
24n + 1
Equations with no solution have the same variable term on both sides of the equation but different constant terms.
solve the inequality.
8 - u < 1
u > 7
solve the inequality
(1/2)t < -8
t < -16
solve the inequality.
(1/2)x + 2 < -3
x < -10
What is Mr. Zuniga's favorite artist.
BAD BUNNY!