Two-Step Equations
Like Terms & Distributive Property
Inequalities
Multi-Step Inequalities
Graph the Solution of the Inequality
100
Solve the equation 18-r=42
r=-24
100
Solve the equation. 6(x-1)=12
x= 3
100
Solve x+4<3
x<-1
100
Solve 2y+7>11
y>2
100
Consider the inequality x + 8 ≥ 5.
Graph the solution of the inequality.
Draw a closed dot at −3 and an arrow pointing to the right.
200
w/4 - 21 = -3
w=72
200
Solve the equation. 14t-4-9t=31
t=7
200
Solve 5+m+8≥14
m≥1
200
Solve 11-4z<-1
z>3
200
The difference between the high and low temperatures on Sunday was at least 35°F. The low temperature on Sunday was −8°F.
A. Write and solve an inequality to find t the high temperature on Sunday.
B. Graph the solution of the inequality.
t ≥ 27
Draw a closed dot at 27 and an arrow pointing to the right.
300
Solve the equation. 4-3x=34
x=-10
300
Solve the equation. -5(3n+5)=20
n= -3
300
Solve -3y>36
y<-12
300
Solve
3+ b/3<7
b<12
300
Which number line represents the solution to the inequality
c/2> 3
A
B
C
D
c > 6
To graph c > 6, draw an open dot at 6 and an arrow pointing to the right. The graph that matches that is choice D.
400
d/15 + 26 = 33
d=105
400
Solve the equation.
-(z + 11)= 6
z=-17
400
Solve the inequalities.
d/-11≤6
d≥-66
400
x/-3 - 8≥-3
x≤-15
400
Consider the inequality −11x ≥ 22.
A. Solve the inequality. Explain why or why not the direction of the inequality symbol is reversed.
B. Graph the solution of the inequality.
x ≤ −2
The direction of the inequality symbol is reversed because each side of the inequality was divided by a negative number in order to solve for x.
B.
Draw a closed dot at −2 and an arrow pointing to the left.
500
Write the statement as an equation and solve. "Five minus the product of 2 and a number is 7."
5-2x=7 ; x=-1
500
What is the solution of the equation: -1/2(2x-10)= 8
-3
500
Which inequality is equivalent to -18≤3p? a) p≥-54 ; b)-54≥p ; c)p≥-6 ; d)-6≥p
c) p≥-6 or -6≤p
500
Solve
z/-4 + 3 < 15
z>-48
500
Which of the following represents the solution to the inequality −1.25b < −6?
A b > −4.8
B b < −4.8
C b > 4.8
D b < 4.8
b > 4.8